1 1 1 P1 PG1 TRICLINIC 'P 1'
 X,Y,Z
2 2 2 P-1 PG1bar TRICLINIC 'P -1'
 X,Y,Z
 -X,-Y,-Z
3 2 2 P2 PG2 MONOCLINIC 'P 1 2 1' 
 X,Y,Z
 -X,Y,-Z
4 2 2 P21 PG2 MONOCLINIC 'P 1 21 1'
 X,Y,Z
 -X,Y+1/2,-Z
5 4 2 C2 PG2 MONOCLINIC 'C 1 2 1' 
  X,Y, Z 
 -X,Y,-Z 
 1/2+X,1/2+Y,Z 
 1/2-X,1/2+Y,-Z
6 2 2 Pm PGm MONOCLINIC 'P 1 m 1' 
 X, Y,Z 
 X,-Y,Z
7 2 2 Pc PGm MONOCLINIC 'P 1 c 1' 
 X,Y,Z
 X,-Y,1/2+Z
8 4 2 Cm PGm MONOCLINIC 'C 1 m 1' 
 X,Y,Z
 X,-Y,Z
 1/2+X,1/2+Y,Z
 1/2+X,1/2-Y,Z
9 4 2 Cc PGm MONOCLINIC 'C 1 c 1'
 X,Y,Z
 X,-Y,1/2+Z
 1/2+X,1/2+Y,Z
 1/2+X,1/2-Y,1/2+Z
10 4 4 P2/m PG2/m MONOCLINIC 'P 1 2/m 1' 
 X,Y,Z
 X,-Y,Z
 -X,Y,-Z
 -X,-Y,-Z
11 4 4 P21/m PG2/m MONOCLINIC 'P 1 21/m 1' 
 X,Y,Z
 -X,1/2+Y,-Z
 -X,-Y,-Z
 X,1/2-Y,Z
12 8 4 C2/m PG2/m MONOCLINIC 'C 1 2/m 1' 
 X,Y,Z
 X,-Y,Z
 -X,Y,-Z
 -X,-Y,-Z
 1/2+X,1/2+Y,Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,-Z
 1/2-X,1/2-Y,-Z
13 4 4 P2/c PG2/m MONOCLINIC 'P 1 2/c 1'
 X,Y,Z
 -X,Y,1/2-Z
 -X,-Y,-Z
 X,-Y,1/2+Z
14 4 4 P21/c PG2/m MONOCLINIC 'P 1 21/c 1' 
 X,Y,Z
 -X,-Y,-Z
 -X,1/2+Y,1/2-Z
 X,1/2-Y,1/2+Z
15 8 4 C2/c PG2/m MONOCLINIC 'C 1 2/c 1' 
 X,Y,Z
 -X,Y,1/2-Z
 -X,-Y,-Z
 X,-Y,1/2+Z
 1/2+X,1/2+Y,Z
 1/2-X,1/2+Y,1/2-Z
 1/2-X,1/2-Y,-Z
 1/2+X,1/2-Y,1/2+Z
16 4 4 P222 PG222 ORTHORHOMBIC 'P 2 2 2' 
 X,Y,Z 
 -X,-Y,Z
 -X,Y,-Z
 X,-Y,-Z
17 4 4 P2221 PG222 ORTHORHOMBIC 'P 2 2 21' 
 X,Y,Z
 -X,-Y,1/2+Z
 -X,Y,1/2-Z
 X,-Y,-Z
18 4 4 P21212 PG222 ORTHORHOMBIC 'P 21 21 2' 
 X,Y,Z
 -X,-Y,Z
 1/2-X,1/2+Y,-Z
 1/2+X,1/2-Y,-Z
19 4 4 P212121 PG222 ORTHORHOMBIC 'P 21 21 21' 
 X,Y,Z
 1/2-X,-Y,1/2+Z
 -X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,-Z
20 8 4 C2221 PG222 ORTHORHOMBIC 'C 2 2 21' 
 X,Y,Z
 -X,-Y,1/2+Z
 -X,Y,1/2-Z
 X,-Y,-Z
 1/2+X,1/2+Y,Z
 1/2-X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,-Z
21 8 4 C222 PG222 ORTHORHOMBIC 'C 2 2 2' 
  X, Y,Z
 -X,-Y,Z
 -X, Y,-Z
  X,-Y,-Z
 1/2+X,1/2+Y,Z
 1/2-X,1/2-Y,Z
 1/2-X,1/2+Y,-Z
 1/2+X,1/2-Y,-Z
22 16 4 F222 PG222 ORTHORHOMBIC 'F 2 2 2' 
 X,Y,Z
 -X,-Y,Z
 -X,Y,-Z
 X,-Y,-Z
 X,1/2+Y,1/2+Z
 -X,1/2-Y,1/2+Z
 -X,1/2+Y,1/2-Z
 X,1/2-Y,1/2-Z
 1/2+X,Y,1/2+Z
 1/2-X,-Y,1/2+Z
 1/2-X,Y,1/2-Z
 1/2+X,-Y,1/2-Z
 1/2+X,1/2+Y,Z
 1/2-X,1/2-Y,Z
 1/2-X,1/2+Y,-Z
 1/2+X,1/2-Y,-Z
23 8 4 I222 PG222 ORTHORHOMBIC 'I 2 2 2' 
 X,Y,Z
 -X,-Y,Z
 X,-Y,-Z
 -X,Y,-Z
 X+1/2,Y+1/2,Z+1/2
 -X+1/2,-Y+1/2,Z+1/2
 X+1/2,-Y+1/2,-Z+1/2
 -X+1/2,Y+1/2,-Z+1/2
24 8 4 I212121 PG222 ORTHORHOMBIC 'I 21 21 21'
 X,Y,Z
 1/2-X,-Y,1/2+Z
 -X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,-Z
 1/2+X,1/2+Y,1/2+Z
 -X,1/2-Y,Z
 1/2-X,Y,-Z
 X,-Y,1/2-Z
25 4 4 Pmm2 PGmm2 ORTHORHOMBIC 'P m m 2'
 X,Y,Z
 -X,-Y,Z
 X,-Y,Z
 -X,Y,Z
26 4 4 Pmc21 PGmm2 ORTHORHOMBIC 'P m c 21'
 X,Y,Z
 -X,-Y,1/2+Z
 X,-Y,1/2+Z
 -X,Y,Z
27 4 4 Pcc2 PGmm2 ORTHORHOMBIC 'P c c 2'
  X, Y,Z
 -X,-Y,Z
  X,-Y,1/2+Z
 -X, Y,1/2+Z
28 4 4 Pma2 PGmm2 ORTHORHOMBIC 'P m a 2'
 X,Y,Z
 -X,-Y,Z
 1/2+X,-Y,Z
 1/2-X,Y,Z
29 4 4 Pca21 PGmm2 ORTHORHOMBIC 'P c a 21'
 X,Y,Z
 -X,-Y,1/2+Z
 1/2+X,-Y,Z
 1/2-X,Y,1/2+Z
30 4 4 Pnc2 PGmm2 ORTHORHOMBIC 'P n c 2'
 X,Y,Z
 -X,-Y,Z
 X,1/2-Y,1/2+Z
 -X,1/2+Y,1/2+Z
31 4 4 Pmn21 PGmm2 ORTHORHOMBIC 'P m n 21'
 X,Y,Z
 1/2-X,-Y,1/2+Z
 1/2+X,-Y,1/2+Z
 -X,Y,Z
32 4 4 Pba2 PGmm2 ORTHORHOMBIC 'P b a 2'
 X,Y,Z
 -X,-Y,Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
33 4 4 Pna21 PGmm2 ORTHORHOMBIC 'P n a 21'
 X,Y,Z
 -X,-Y,1/2+Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,1/2+Z
34 4 4 Pnn2 PGmm2 ORTHORHOMBIC 'P n n 2'
 X,Y,Z
 -X,-Y,Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
35 8 4 Cmm2 PGmm2 ORTHORHOMBIC 'C m m 2'
 X,Y,Z
 -X,-Y,Z
 X,-Y,Z
 -X,Y,Z
 1/2+X,1/2+Y,Z
 1/2-X,1/2-Y,Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
36 8 4 Cmc21 PGmm2 ORTHORHOMBIC 'C m c 21'
 X,Y,Z
 -X,-Y,1/2+Z
 X,-Y,1/2+Z
 -X,Y,Z
 1/2+X,1/2+Y,Z
 1/2-X,1/2-Y,1/2+Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,Z
37 8 4 Ccc2 PGmm2 ORTHORHOMBIC 'C c c 2'
 X,Y,Z
 -X,-Y,Z
 X,-Y,1/2+Z
 -X,Y,1/2+Z
 1/2+X,1/2+Y,Z
 1/2-X,1/2-Y,Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
38 8 4 Amm2 PGmm2 ORTHORHOMBIC 'A m m 2'
 X,Y,Z
 -X,-Y,Z
 X,-Y,Z
 -X,Y,Z
 X,1/2+Y,1/2+Z
 -X,1/2-Y,1/2+Z
 X,1/2-Y,1/2+Z
 -X,1/2+Y,1/2+Z
39 8 4 Abm2 PGmm2 ORTHORHOMBIC 'A b m 2'
 X,Y,Z
 -X,-Y,Z
 X,1/2-Y,Z
 -X,1/2+Y,Z
 X,1/2+Y,1/2+Z
 -X,1/2-Y,1/2+Z
 X,-Y,1/2+Z
 -X,Y,1/2+Z
40 8 4 Ama2 PGmm2 ORTHORHOMBIC 'A m a 2'
 X,Y,Z
 -X,-Y,Z
 1/2+X,-Y,Z
 1/2-X,Y,Z
 X,1/2+Y,1/2+Z
 -X,1/2-Y,1/2+Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
41 8 4 Aba2 PGmm2 ORTHORHOMBIC 'A b a 2'
 X,Y,Z
 -X,-Y,Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
 X,1/2+Y,1/2+Z
 -X,1/2-Y,1/2+Z
 1/2+X,-Y,1/2+Z
 1/2-X,Y,1/2+Z
42 16 4 Fmm2 PGmm2 ORTHORHOMBIC 'F m m 2'
 X,Y,Z
 -X,-Y,Z
 X,-Y,Z
 -X,Y,Z
 X,1/2+Y,1/2+Z
 -X,1/2-Y,1/2+Z
 X,1/2-Y,1/2+Z
 -X,1/2+Y,1/2+Z
 1/2+X,Y,1/2+Z
 1/2-X,-Y,1/2+Z
 1/2+X,-Y,1/2+Z
 1/2-X,Y,1/2+Z
 1/2+X,1/2+Y,Z
 1/2-X,1/2-Y,Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
43 16 4 Fdd2 PGmm2 ORTHORHOMBIC 'F d d 2'
 X,Y,Z
 -X,-Y,Z
 1/4+X,1/4-Y,1/4+Z
 1/4-X,1/4+Y,1/4+Z
 X,1/2+Y,1/2+Z
 -X,1/2-Y,1/2+Z
 1/4+X,3/4-Y,3/4+Z
 1/4-X,3/4+Y,3/4+Z
 1/2+X,Y,1/2+Z
 1/2-X,-Y,1/2+Z
 3/4+X,1/4-Y,3/4+Z
 3/4-X,1/4+Y,3/4+Z
 1/2+X,1/2+Y,Z
 1/2-X,1/2-Y,Z
 3/4+X,3/4-Y,1/4+Z
 3/4-X,3/4+Y,1/4+Z
44 8 4 Imm2 PGmm2 ORTHORHOMBIC 'I m m 2'
 X,Y,Z
 -X,-Y,Z
 X,-Y,Z
 -X,Y,Z
 1/2+X,1/2+Y,1/2+Z
 1/2-X,1/2-Y,1/2+Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
45 8 4 Iba2 PGmm2 ORTHORHOMBIC 'I b a 2'
 X,Y,Z
 -X,-Y,Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
 1/2+X,1/2+Y,1/2+Z
 1/2-X,1/2-Y,1/2+Z
 X,-Y,1/2+Z
 -X,Y,1/2+Z
46 8 4 Ima2 PGmm2 ORTHORHOMBIC 'I m a 2'
 X,Y,Z
 -X,-Y,Z
 1/2+X,-Y,Z
 1/2-X,Y,Z
 1/2+X,1/2+Y,1/2+Z
 1/2-X,1/2-Y,1/2+Z
 X,1/2-Y,1/2+Z
 -X,1/2+Y,1/2+Z
47 8 8 Pmmm PGmmm ORTHORHOMBIC 'P 2/m 2/m 2/m' 'P m m m'
 X,Y,Z
 -X,-Y,Z
 -X,Y,-Z
 X,-Y,-Z
 -X,-Y,-Z
 X,Y,-Z
 X,-Y,Z
 -X,Y,Z
48 8 8 Pnnn PGmmm ORTHORHOMBIC 'P 2/n 2/n 2/n'  'P n n n'
 X,Y,Z
 -X,-Y,Z
 -X,Y,-Z
 X,-Y,-Z
 1/2-X,1/2-Y,1/2-Z
 1/2+X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
49 8 8 Pccm PGmmm ORTHORHOMBIC 'P 2/c 2/c 2/m' 'P c c m'
 X,Y,Z
 -X,-Y,Z
 -X,Y,1/2-Z
 X,-Y,1/2-Z
 -X,-Y,-Z
 X,Y,-Z
 X,-Y,1/2+Z
 -X,Y,1/2+Z
50 8 8 Pban PGmmm ORTHORHOMBIC 'P 2/b 2/a 2/n' 'P b a n'
 X,Y,Z
 -X,-Y,Z
 -X,Y,-Z
 X,-Y,-Z
 1/2-X,1/2-Y,-Z
 1/2+X,1/2+Y,-Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
51 8 8 Pmma PGmmm ORTHORHOMBIC 'P 21/m 2/m 2/a'  'P m m a'
 X,Y,Z
 1/2-X,-Y,Z
 -X,Y,-Z
 1/2+X,-Y,-Z
 -X,-Y,-Z
 1/2+X,Y,-Z
 X,-Y,Z
 1/2-X,Y,Z
52 8 8 Pnna PGmmm ORTHORHOMBIC 'P 2/n 21/n 2/a'  'P n n a'
 X,Y,Z
 1/2-X,-Y,Z
 1/2-X,1/2+Y,1/2-Z
 X,1/2-Y,1/2-Z
 -X,-Y,-Z
 1/2+X,Y,-Z
 1/2+X,1/2-Y,1/2+Z
 -X,1/2+Y,1/2+Z
53 8 8 Pmna PGmmm ORTHORHOMBIC 'P 2/m 2/n 21/a' 'P m n a'
 X,Y,Z
 1/2-X,-Y,1/2+Z
 1/2-X,Y,1/2-Z
 X,-Y,-Z
 -X,-Y,-Z
 1/2+X,Y,1/2-Z
 1/2+X,-Y,1/2+Z
 -X,Y,Z
54 8 8 Pcca PGmmm ORTHORHOMBIC 'P 21/c 2/c 2/a' 'P c c a'
 X,Y,Z
 1/2-X,-Y,Z
 -X,Y,1/2-Z
 1/2+X,-Y,1/2-Z
 -X,-Y,-Z
 1/2+X,Y,-Z
 X,-Y,1/2+Z
 1/2-X,Y,1/2+Z
55 8 8 Pbam PGmmm ORTHORHOMBIC 'P 21/b 21/a 2/m' 'P b a m'
 X,Y,Z
 -X,-Y,Z
 1/2-X,1/2+Y,-Z
 1/2+X,1/2-Y,-Z
 -X,-Y,-Z
 X,Y,-Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
56 8 8 Pccn PGmmm ORTHORHOMBIC 'P 21/c 21/c 2/n' 'P c c n'
 X,Y,Z
 1/2-X,1/2-Y,Z
 -X,1/2+Y,1/2-Z
 1/2+X,-Y,1/2-Z
 -X,-Y,-Z
 1/2+X,1/2+Y,-Z
 X,1/2-Y,1/2+Z
 1/2-X,Y,1/2+Z
57 8 8 Pbcm PGmmm ORTHORHOMBIC 'P 2/b 21/c 21/m' 'P b c m'
 X,Y,Z
 -X,-Y,1/2+Z
 -X,1/2+Y,1/2-Z
 X,1/2-Y,-Z
 -X,-Y,-Z
 X,Y,1/2-Z
 X,1/2-Y,1/2+Z
 -X,1/2+Y,Z
58 8 8 Pnnm PGmmm ORTHORHOMBIC 'P 21/n 21/n 2/m' 'P n n m'
 X,Y,Z
 -X,-Y,Z
 1/2-X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,1/2-Z
 -X,-Y,-Z
 X,Y,-Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
59 8 8 Pmmn PGmmm ORTHORHOMBIC 'P 21/m 21/m 2/n' 'P m m n'
 X,Y,Z
 -X,-Y,Z
 1/2-X,Y+1/2,-Z
 X+1/2,1/2-Y,-Z
 1/2-X,1/2-Y,-Z
 X+1/2,Y+1/2,-Z
 X,-Y,Z
 -X,Y,Z
60 8 8 Pbcn PGmmm ORTHORHOMBIC 'P 21/b 2/c 21/n' 'P b c n'
 X,Y,Z
 1/2-X,1/2-Y,1/2+Z
 -X,Y,1/2-Z
 1/2+X,1/2-Y,-Z
 -X,-Y,-Z
 1/2+X,1/2+Y,1/2-Z
 X,-Y,1/2+Z
 1/2-X,1/2+Y,Z
61 8 8 Pbca PGmmm ORTHORHOMBIC 'P 21/b 21/c 21/a' 'P b c a'
 X,Y,Z
 1/2-X,-Y,1/2+Z
 -X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,-Z
 -X,-Y,-Z
 1/2+X,Y,1/2-Z
 X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,Z
62 8 8 Pnma PGmmm ORTHORHOMBIC 'P 21/n 21/m 21/a' 'P n m a'
 X,Y,Z
 -X+1/2,-Y,Z+1/2
 -X,Y+1/2,-Z
 X+1/2,-Y+1/2,-Z+1/2
 -X,-Y,-Z
 X+1/2,Y,-Z+1/2
 X,-Y+1/2,Z
 -X+1/2,Y+1/2,Z+1/2
63 16 8 Cmcm PGmmm ORTHORHOMBIC 'C 2/m 2/c 21/m' 'C m c m'
 X,Y,Z
 -X,-Y,1/2+Z
 -X,Y,1/2-Z
 X,-Y,-Z
 -X,-Y,-Z
 X,Y,1/2-Z
 X,-Y,1/2+Z
 -X,Y,Z
 1/2+X,1/2+Y,Z
 1/2-X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,-Z
 1/2-X,1/2-Y,-Z
 1/2+X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,Z
64 16 8 Cmca PGmmm ORTHORHOMBIC 'C 2/m 2/c 21/a' 'C m c a'
 X,Y,Z
 -X,1/2-Y,1/2+Z
 -X,1/2+Y,1/2-Z
 X,-Y,-Z
 -X,-Y,-Z
 X,1/2+Y,1/2-Z
 X,1/2-Y,1/2+Z
 -X,Y,Z
 1/2+X,1/2+Y,Z
 1/2-X,-Y,1/2+Z
 1/2-X,Y,1/2-Z
 1/2+X,1/2-Y,-Z
 1/2-X,1/2-Y,-Z
 1/2+X,Y,1/2-Z
 1/2+X,-Y,1/2+Z
 1/2-X,1/2+Y,Z
65 16 8 Cmmm PGmmm ORTHORHOMBIC 'C 2/m 2/m 2/m'  'C m m m'
 X,Y,Z
 -X,-Y,Z
 -X,Y,-Z
 X,-Y,-Z
 -X,-Y,-Z
 X,Y,-Z
 X,-Y,Z
 -X,Y,Z
 1/2+X,1/2+Y,Z
 1/2-X,1/2-Y,Z
 1/2-X,1/2+Y,-Z
 1/2+X,1/2-Y,-Z
 1/2-X,1/2-Y,-Z
 1/2+X,1/2+Y,-Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
66 16 8 Cccm PGmmm ORTHORHOMBIC 'C 2/c 2/c 2/m'  'C c c m'
 X,Y,Z
 -X,-Y,Z
 -X,Y,1/2-Z
 X,-Y,1/2-Z
 -X,-Y,-Z
 X,Y,-Z
 X,-Y,1/2+Z
 -X,Y,1/2+Z
 1/2+X,1/2+Y,Z
 1/2-X,1/2-Y,Z
 1/2-X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,1/2-Z
 1/2-X,1/2-Y,-Z
 1/2+X,1/2+Y,-Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
67 16 8 Cmma PGmmm ORTHORHOMBIC 'C 2/m 2/m 2/a' 'C m m a'
 X,Y,Z
 -X,1/2-Y,Z
 -X,1/2+Y,-Z
 X,-Y,-Z
 -X,-Y,-Z
 X,1/2+Y,-Z
 X,1/2-Y,Z
 -X,Y,Z
 1/2+X,1/2+Y,Z
 1/2-X,-Y,Z
 1/2-X,Y,-Z
 1/2+X,1/2-Y,-Z
 1/2-X,1/2-Y,-Z
 1/2+X,Y,-Z
 1/2+X,-Y,Z
 1/2-X,1/2+Y,Z
68 16 8 Ccca PGmmm ORTHORHOMBIC 'C 2/c 2/c 2/a' 'C c c a'
 X,Y,Z
 1/2-X,1/2-Y,Z
 -X,Y,-Z
 1/2+X,1/2-Y,-Z
 -X,1/2-Y,1/2-Z
 1/2+X,Y,1/2-Z
 X,1/2-Y,1/2+Z
 1/2-X,Y,1/2+Z
 1/2+X,1/2+Y,Z
 -X,-Y,Z
 1/2-X,1/2+Y,-Z
 X,-Y,-Z
 1/2-X,-Y,1/2-Z
 X,1/2+Y,1/2-Z
 1/2+X,-Y,1/2+Z
 -X,1/2+Y,1/2+Z
69 32 8 Fmmm PGmmm ORTHORHOMBIC 'F 2/m 2/m 2/m' 'F m m m'
 X,Y,Z
 -X,-Y,Z
 -X,Y,-Z
 X,-Y,-Z
 -X,-Y,-Z
 X,Y,-Z
 X,-Y,Z
 -X,Y,Z
 X,1/2+Y,1/2+Z
 -X,1/2-Y,1/2+Z
 -X,1/2+Y,1/2-Z
 X,1/2-Y,1/2-Z
 -X,1/2-Y,1/2-Z
 X,1/2+Y,1/2-Z
 X,1/2-Y,1/2+Z
 -X,1/2+Y,1/2+Z
 1/2+X,Y,1/2+Z
 1/2-X,-Y,1/2+Z
 1/2-X,Y,1/2-Z
 1/2+X,-Y,1/2-Z
 1/2-X,-Y,1/2-Z
 1/2+X,Y,1/2-Z
 1/2+X,-Y,1/2+Z
 1/2-X,Y,1/2+Z
 1/2+X,1/2+Y,Z
 1/2-X,1/2-Y,Z
 1/2-X,1/2+Y,-Z
 1/2+X,1/2-Y,-Z
 1/2-X,1/2-Y,-Z
 1/2+X,1/2+Y,-Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
70 32 8 Fddd PGmmm ORTHORHOMBIC 'F 2/d 2/d 2/d' 'F d d d'
 X,Y,Z
 -X,-Y,Z
 -X,Y,-Z
 X,-Y,-Z
 1/4-X,1/4-Y,1/4-Z
 1/4+X,1/4+Y,1/4-Z
 1/4+X,1/4-Y,1/4+Z
 1/4-X,1/4+Y,1/4+Z
 X,1/2+Y,1/2+Z
 -X,1/2-Y,1/2+Z
 -X,1/2+Y,1/2-Z
 X,1/2-Y,1/2-Z
 1/4-X,3/4-Y,3/4-Z
 1/4+X,3/4+Y,3/4-Z
 1/4+X,3/4-Y,3/4+Z
 1/4-X,3/4+Y,3/4+Z
 1/2+X,Y,1/2+Z
 1/2-X,-Y,1/2+Z
 1/2-X,Y,1/2-Z
 1/2+X,-Y,1/2-Z
 3/4-X,1/4-Y,3/4-Z
 3/4+X,1/4+Y,3/4-Z
 3/4+X,1/4-Y,3/4+Z
 3/4-X,1/4+Y,3/4+Z
 1/2+X,1/2+Y,Z
 1/2-X,1/2-Y,Z
 1/2-X,1/2+Y,-Z
 1/2+X,1/2-Y,-Z
 3/4-X,3/4-Y,1/4-Z
 3/4+X,3/4+Y,1/4-Z
 3/4+X,3/4-Y,1/4+Z
 3/4-X,3/4+Y,1/4+Z
71 16 8 Immm PGmmm ORTHORHOMBIC 'I 2/m 2/m 2/m' 'I m m m'
 X,Y,Z
 -X,-Y,Z
 -X,Y,-Z
 X,-Y,-Z
 -X,-Y,-Z
 X,Y,-Z
 X,-Y,Z
 -X,Y,Z
 1/2+X,1/2+Y,1/2+Z
 1/2-X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,1/2-Z
 1/2-X,1/2-Y,1/2-Z
 1/2+X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
72 16 8 Ibam PGmmm ORTHORHOMBIC 'I 2/b 2/a 2/m' 'I b a m'
 X,Y,Z
 -X,-Y,Z
 1/2-X,1/2+Y,-Z
 1/2+X,1/2-Y,-Z
 -X,-Y,-Z
 X,Y,-Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
 1/2+X,1/2+Y,1/2+Z
 1/2-X,1/2-Y,1/2+Z
 -X,Y,1/2-Z
 X,-Y,1/2-Z
 1/2-X,1/2-Y,1/2-Z
 1/2+X,1/2+Y,1/2-Z
 X,-Y,1/2+Z
 -X,Y,1/2+Z
73 16 8 Ibca PGmmm ORTHORHOMBIC 'I 21/b 21/c 21/a' 'I b c a'
 X,Y,Z
 1/2-X,-Y,1/2+Z
 -X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,-Z
 -X,-Y,-Z
 1/2+X,Y,1/2-Z
 X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,Z
 1/2+X,1/2+Y,1/2+Z
 -X,1/2-Y,Z
 1/2-X,Y,-Z
 X,-Y,1/2-Z
 1/2-X,1/2-Y,1/2-Z
 X,1/2+Y,-Z
 1/2+X,-Y,Z
 -X,Y,1/2+Z
74 16 8 Imma PGmmm ORTHORHOMBIC 'I 21/m 21/m 21/a' 'I m m a'
 X,Y,Z
 -X,1/2-Y,Z
 -X,1/2+Y,-Z
 X,-Y,-Z
 -X,-Y,-Z
 X,1/2+Y,-Z
 X,1/2-Y,Z
 -X,Y,Z
 1/2+X,1/2+Y,1/2+Z
 1/2-X,-Y,1/2+Z
 1/2-X,Y,1/2-Z
 1/2+X,1/2-Y,1/2-Z
 1/2-X,1/2-Y,1/2-Z
 1/2+X,Y,1/2-Z
 1/2+X,-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
75 4 4 P4 PG4 TETRAGONAL 'P 4'
 X,Y,Z
 -X,-Y,Z
 -Y,X,Z
 Y,-X,Z
76 4 4 P41 PG4 TETRAGONAL 'P 41'
 X,Y,Z
 -X,-Y,1/2+Z
 -Y,X,1/4+Z
 Y,-X,3/4+Z
77 4 4 P42 PG4 TETRAGONAL 'P 42'
 X,Y,Z
 -X,-Y,Z
 -Y,X,1/2+Z
 Y,-X,1/2+Z
78 4 4 P43 PG4 TETRAGONAL 'P 43'
 X,Y,Z 
 -X,-Y,1/2+Z
 -Y,X,3/4+Z
 Y,-X,1/4+Z
79 8 4 I4 PG4 TETRAGONAL 'I 4'
 X,Y,Z
 -X,-Y,Z
 -Y,X,Z
 Y,-X,Z
 1/2+X,1/2+Y,1/2+Z
 1/2-X,1/2-Y,1/2+Z
 1/2-Y,1/2+X,1/2+Z
 1/2+Y,1/2-X,1/2+Z
80 8 4 I41 PG4 TETRAGONAL 'I 41'
 X,Y,Z
 1/2-X,1/2-Y,1/2+Z
 -Y,1/2+X,1/4+Z
 1/2+Y,-X,3/4+Z
 1/2+X,1/2+Y,1/2+Z
 -X,-Y,Z
 1/2-Y,X,3/4+Z
 Y,1/2-X,1/4+Z
81 4 4 P-4 PG4bar TETRAGONAL 'P -4'
 X,Y,Z
 -X,-Y,Z
 Y,-X,-Z
 -Y,X,-Z
82 8 4 I-4 PG4bar TETRAGONAL 'I -4'
 X,Y,Z
 -X,-Y,Z
 Y,-X,-Z
 -Y,X,-Z
 1/2+X,1/2+Y,1/2+Z
 1/2-X,1/2-Y,1/2+Z
 1/2+Y,1/2-X,1/2-Z
 1/2-Y,1/2+X,1/2-Z
83 8 8 P4/m PG4/m TETRAGONAL 'P 4/m'
 X,Y,Z
 -X,-Y,Z
 -Y,X,Z
 Y,-X,Z
 -X,-Y,-Z
 X,Y,-Z
 Y,-X,-Z
 -Y,X,-Z
84 8 8 P42/m PG4/m TETRAGONAL 'P 42/m'
 X,Y,Z
 -X,-Y,Z
 -Y,X,1/2+Z
 Y,-X,1/2+Z
 -X,-Y,-Z
 X,Y,-Z
 Y,-X,1/2-Z
 -Y,X,1/2-Z
85 8 8 P4/n PG4/m TETRAGONAL 'P 4/n'
 X,Y,Z
 -X,-Y,Z
 1/2-Y,1/2+X,Z
 1/2+Y,1/2-X,Z
 1/2-X,1/2-Y,-Z
 1/2+X,1/2+Y,-Z
 Y,-X,-Z
 -Y,X,-Z
86 8 8 P42/n PG4/m TETRAGONAL 'P 42/n'
 X,Y,Z
 -X,-Y,Z
 1/2-Y,1/2+X,1/2+Z
 1/2+Y,1/2-X,1/2+Z
 1/2-X,1/2-Y,1/2-Z
 1/2+X,1/2+Y,1/2-Z
 Y,-X,-Z
 -Y,X,-Z
87 16 8 I4/m PG4/m TETRAGONAL 'I 4/m'
 X,Y,Z
 -X,-Y,Z
 -Y,X,Z
 Y,-X,Z
 -X,-Y,-Z
 X,Y,-Z
 Y,-X,-Z
 -Y,X,-Z
 1/2+X,1/2+Y,1/2+Z
 1/2-X,1/2-Y,1/2+Z
 1/2-Y,1/2+X,1/2+Z
 1/2+Y,1/2-X,1/2+Z
 1/2-X,1/2-Y,1/2-Z
 1/2+X,1/2+Y,1/2-Z
 1/2+Y,1/2-X,1/2-Z
 1/2-Y,1/2+X,1/2-Z
88 16 8 I41/a PG4/m TETRAGONAL 'I 41/a'
 X,Y,Z
 1/2-X,1/2-Y,1/2+Z
 -Y,1/2+X,1/4+Z
 1/2+Y,-X,3/4+Z
 -X,1/2-Y,1/4-Z
 1/2+X,Y,3/4-Z
 Y,-X,-Z
 1/2-Y,1/2+X,1/2-Z
 1/2+X,1/2+Y,1/2+Z
 -X,-Y,Z
 1/2-Y,X,3/4+Z
 Y,1/2-X,1/4+Z
 1/2-X,-Y,3/4-Z
 X,1/2+Y,1/4-Z
 1/2+Y,1/2-X,1/2-Z
 -Y,X,-Z
89 8 8 P422 PG422 TETRAGONAL 'P 4 2 2'
 X,Y,Z
 -X,-Y,Z
 -Y,X,Z
 Y,-X,Z
 -X,Y,-Z
 X,-Y,-Z
 Y,X,-Z
 -Y,-X,-Z
90 8 8 P4212 PG422 TETRAGONAL 'P 4 21 2'
 X,Y,Z
 -X,-Y,Z
 1/2-Y,1/2+X,Z
 1/2+Y,1/2-X,Z
 1/2-X,1/2+Y,-Z
 1/2+X,1/2-Y,-Z
 Y,X,-Z
 -Y,-X,-Z
91 8 8 P4122 PG422 TETRAGONAL 'P 41 2 2'
 X,Y,Z
 -X,-Y,1/2+Z
 -Y,X,1/4+Z
 Y,-X,3/4+Z
 -X,Y,-Z
 X,-Y,1/2-Z
 Y,X,3/4-Z
 -Y,-X,1/4-Z
92 8 8 P41212 PG422 TETRAGONAL 'P 41 21 2'
 X,Y,Z
 -X,-Y,1/2+Z
 1/2-Y,1/2+X,1/4+Z
 1/2+Y,1/2-X,3/4+Z
 1/2-X,1/2+Y,1/4-Z
 1/2+X,1/2-Y,3/4-Z
 Y,X,-Z
 -Y,-X,1/2-Z
93 8 8 P4222 PG422 TETRAGONAL 'P 42 2 2'
 X,Y,Z
 -X,-Y,Z
 -Y,X,1/2+Z
 Y,-X,1/2+Z
 -X,Y,-Z
 X,-Y,-Z
 Y,X,1/2-Z
 -Y,-X,1/2-Z
94 8 8 P42212 PG422 TETRAGONAL 'P 42 21 2'
 X,Y,Z
 -X,-Y,Z
 1/2-Y,1/2+X,1/2+Z
 1/2+Y,1/2-X,1/2+Z
 1/2-X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,1/2-Z
 Y,X,-Z
 -Y,-X,-Z
95 8 8 P4322 PG422 TETRAGONAL 'P 43 2 2'
 X,Y,Z
 -X,-Y,1/2+Z
 -Y,X,3/4+Z
 Y,-X,1/4+Z
 -X,Y,-Z
 X,-Y,1/2-Z
 Y,X,1/4-Z
 -Y,-X,3/4-Z
96 8 8 P43212 PG422 TETRAGONAL 'P 43 21 2'
 X,Y,Z
 -X,-Y,1/2+Z
 1/2-Y,1/2+X,3/4+Z
 1/2+Y,1/2-X,1/4+Z
 1/2-X,1/2+Y,3/4-Z
 1/2+X,1/2-Y,1/4-Z
 Y,X,-Z
 -Y,-X,1/2-Z
97 16 8 I422 PG422 TETRAGONAL 'I 4 2 2'
 X,Y,Z
 -X,-Y,Z
 -Y,X,Z
 Y,-X,Z
 -X,Y,-Z
 X,-Y,-Z
 Y,X,-Z
 -Y,-X,-Z
 1/2+X,1/2+Y,1/2+Z
 1/2-X,1/2-Y,1/2+Z
 1/2-Y,1/2+X,1/2+Z
 1/2+Y,1/2-X,1/2+Z
 1/2-X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,1/2-Z
 1/2+Y,1/2+X,1/2-Z
 1/2-Y,1/2-X,1/2-Z
98 16 8 I4122 PG422 TETRAGONAL 'I 41 2 2'
 X,Y,Z
 1/2-X,1/2-Y,1/2+Z
 -Y,1/2+X,1/4+Z
 1/2+Y,-X,3/4+Z
 1/2-X,Y,3/4-Z
 X,1/2-Y,1/4-Z
 1/2+Y,1/2+X,1/2-Z
 -Y,-X,-Z
 1/2+X,1/2+Y,1/2+Z
 -X,-Y,Z
 1/2-Y,X,3/4+Z
 Y,1/2-X,1/4+Z
 -X,1/2+Y,1/4-Z
 1/2+X,-Y,3/4-Z
 Y,X,-Z
 1/2-Y,1/2-X,1/2-Z
99 8 8 P4mm PG4mm TETRAGONAL 'P 4 m m'
 X,Y,Z
 -X,-Y,Z
 -Y,X,Z
 Y,-X,Z
 X,-Y,Z
 -X,Y,Z
 -Y,-X,Z
 Y,X,Z
100 8 8 P4bm PG4mm TETRAGONAL 'P 4 b m'
 X,Y,Z
 -X,-Y,Z
 -Y,X,Z
 Y,-X,Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
 1/2-Y,1/2-X,Z
 1/2+Y,1/2+X,Z
101 8 8 P42cm PG4mm TETRAGONAL 'P 42 c m'
 X,Y,Z
 -X,-Y,Z
 -Y,X,1/2+Z
 Y,-X,1/2+Z
 X,-Y,1/2+Z
 -X,Y,1/2+Z
 -Y,-X,Z
 Y,X,Z
102 8 8 P42nm PG4mm TETRAGONAL 'P 42 n m'
 X,Y,Z
 -X,-Y,Z
 1/2-Y,1/2+X,1/2+Z
 1/2+Y,1/2-X,1/2+Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
 -Y,-X,Z
 Y,X,Z
103 8 8 P4cc PG4mm TETRAGONAL 'P 4 c c'
 X,Y,Z
 -X,-Y,Z
 -Y,X,Z
 Y,-X,Z
 X,-Y,1/2+Z
 -X,Y,1/2+Z
 -Y,-X,1/2+Z
 Y,X,1/2+Z
104 8 8 P4nc PG4mm TETRAGONAL 'P 4 n c'
 X,Y,Z
 -X,-Y,Z
 -Y,X,Z
 Y,-X,Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
 1/2-Y,1/2-X,1/2+Z
 1/2+Y,1/2+X,1/2+Z
105 8 8 P42mc PG4mm TETRAGONAL 'P 42 m c'
 X,Y,Z
 -X,-Y,Z
 -Y,X,1/2+Z
 Y,-X,1/2+Z
 X,-Y,Z
 -X,Y,Z
 -Y,-X,1/2+Z
 Y,X,1/2+Z
106 8 8 P42bc PG4mm TETRAGONAL 'P 42 b c'
 X,Y,Z
 -X,-Y,Z
 -Y,X,1/2+Z
 Y,-X,1/2+Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
 1/2-Y,1/2-X,1/2+Z
 1/2+Y,1/2+X,1/2+Z
107 16 8 I4mm PG4mm TETRAGONAL 'I 4 m m'
 X,Y,Z
 -X,-Y,Z
 -Y,X,Z
 Y,-X,Z
 X,-Y,Z
 -X,Y,Z
 -Y,-X,Z
 Y,X,Z
 1/2+X,1/2+Y,1/2+Z
 1/2-X,1/2-Y,1/2+Z
 1/2-Y,1/2+X,1/2+Z
 1/2+Y,1/2-X,1/2+Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
 1/2-Y,1/2-X,1/2+Z
 1/2+Y,1/2+X,1/2+Z
108 16 8 I4cm PG4mm TETRAGONAL 'I 4 c m'
 X,Y,Z
 -X,-Y,Z
 -Y,X,Z
 Y,-X,Z
 X,-Y,1/2+Z
 -X,Y,1/2+Z
 -Y,-X,1/2+Z
 Y,X,1/2+Z
 1/2+X,1/2+Y,1/2+Z
 1/2-X,1/2-Y,1/2+Z
 1/2-Y,1/2+X,1/2+Z
 1/2+Y,1/2-X,1/2+Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
 1/2-Y,1/2-X,Z
 1/2+Y,1/2+X,Z
109 16 8 I41md PG4mm TETRAGONAL 'I 41 m d'
 X,Y,Z
 1/2-X,1/2-Y,1/2+Z
 -Y,1/2+X,1/4+Z
 1/2+Y,-X,3/4+Z
 X,-Y,Z
 1/2-X,1/2+Y,1/2+Z
 -Y,1/2-X,1/4+Z
 1/2+Y,X,3/4+Z
 1/2+X,1/2+Y,1/2+Z
 -X,-Y,Z
 1/2-Y,X,3/4+Z
 Y,1/2-X,1/4+Z
 1/2+X,1/2-Y,1/2+Z
 -X,Y,Z
 1/2-Y,-X,3/4+Z
 Y,1/2+X,1/4+Z
110 16 8 I41cd PG4mm TETRAGONAL 'I 41 c d'
 X,Y,Z
 1/2-X,1/2-Y,1/2+Z
 -Y,1/2+X,1/4+Z
 1/2+Y,-X,3/4+Z
 X,-Y,1/2+Z
 1/2-X,1/2+Y,Z
 -Y,1/2-X,3/4+Z
 1/2+Y,X,1/4+Z
 1/2+X,1/2+Y,1/2+Z
 -X,-Y,Z
 1/2-Y,X,3/4+Z
 Y,1/2-X,1/4+Z
 1/2+X,1/2-Y,Z
 -X,Y,1/2+Z
 1/2-Y,-X,1/4+Z
 Y,1/2+X,3/4+Z
111 8 8 P-42m PG4bar2m TETRAGONAL 'P -4 2 m'
 X,Y,Z
 -X,-Y,Z
 -Y,X,-Z
 Y,-X,-Z
 -X,Y,-Z
 X,-Y,-Z
 -Y,-X,Z
 Y,X,Z
112 8 8 P-42c PG4bar2m TETRAGONAL 'P -4 2 c'
 X,Y,Z
 -X,-Y,Z
 -Y,X,-Z
 Y,-X,-Z
 -X,Y,1/2-Z
 X,-Y,1/2-Z
 -Y,-X,1/2+Z
 Y,X,1/2+Z
113 8 8 P-421m PG4bar2m TETRAGONAL 'P -4 21 m'
 X,Y,Z
 -X,-Y,Z
 -Y,X,-Z
 Y,-X,-Z
 1/2-X,1/2+Y,-Z
 1/2+X,1/2-Y,-Z
 1/2-Y,1/2-X,Z
 1/2+Y,1/2+X,Z
114 8 8 P-421c PG4bar2m TETRAGONAL 'P -4 21 c'
 X,Y,Z
 -X,-Y,Z
 -Y,X,-Z
 Y,-X,-Z
 1/2-X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,1/2-Z
 1/2-Y,1/2-X,1/2+Z
 1/2+Y,1/2+X,1/2+Z
115 8 8 P-4m2 PG4barm2 TETRAGONAL 'P -4 m 2'
 X,Y,Z
 -X,-Y,Z
 Y,-X,-Z
 -Y,X,-Z
 X,-Y,Z
 -X,Y,Z
 Y,X,-Z
 -Y,-X,-Z
116 8 8 P-4c2 PG4barm2 TETRAGONAL 'P -4 c 2'
 X,Y,Z
 -X,-Y,Z
 -Y,X,-Z
 Y,-X,-Z
 X,-Y,1/2+Z
 -X,Y,1/2+Z
 Y,X,1/2-Z
 -Y,-X,1/2-Z
117 8 8 P-4b2 PG4barm2 TETRAGONAL 'P -4 b 2'
 X,Y,Z
 -X,-Y,Z
 -Y,X,-Z
 Y,-X,-Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
 1/2+Y,1/2+X,-Z
 1/2-Y,1/2-X,-Z
118 8 8 P-4n2 PG4barm2 TETRAGONAL 'P -4 n 2'
 X,Y,Z
 -X,-Y,Z
 -Y,X,-Z
 Y,-X,-Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
 1/2+Y,1/2+X,1/2-Z
 1/2-Y,1/2-X,1/2-Z
119 16 8 I-4m2 PG4barm2 TETRAGONAL 'I -4 m 2'
 X,Y,Z
 -X,-Y,Z
 -Y,X,-Z
 Y,-X,-Z
 X,-Y,Z
 -X,Y,Z
 Y,X,-Z
 -Y,-X,-Z
 1/2+X,1/2+Y,1/2+Z
 1/2-X,1/2-Y,1/2+Z
 1/2-Y,1/2+X,1/2-Z
 1/2+Y,1/2-X,1/2-Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
 1/2+Y,1/2+X,1/2-Z
 1/2-Y,1/2-X,1/2-Z
120 16 8 I-4c2 PG4barm2 TETRAGONAL 'I -4 c 2'
 X,Y,Z
 -X,-Y,Z
 -Y,X,-Z
 Y,-X,-Z
 X,-Y,1/2+Z
 -X,Y,1/2+Z
 Y,X,1/2-Z
 -Y,-X,1/2-Z
 1/2+X,1/2+Y,1/2+Z
 1/2-X,1/2-Y,1/2+Z
 1/2-Y,1/2+X,1/2-Z
 1/2+Y,1/2-X,1/2-Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
 1/2+Y,1/2+X,-Z
 1/2-Y,1/2-X,-Z
121 16 8 I-42m PG4bar2m TETRAGONAL 'I -4 2 m'
 X,Y,Z
 -X,-Y,Z
 -Y,X,-Z
 Y,-X,-Z
 -X,Y,-Z
 X,-Y,-Z
 -Y,-X,Z
 Y,X,Z
 1/2+X,1/2+Y,1/2+Z
 1/2-X,1/2-Y,1/2+Z
 1/2-Y,1/2+X,1/2-Z
 1/2+Y,1/2-X,1/2-Z
 1/2-X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,1/2-Z
 1/2-Y,1/2-X,1/2+Z
 1/2+Y,1/2+X,1/2+Z
122 16 8 I-42d PG4bar2m TETRAGONAL 'I -4 2 d'
 X,Y,Z
 -X,-Y,Z
 -Y,X,-Z
 Y,-X,-Z
 1/2-X,Y,3/4-Z
 1/2+X,-Y,3/4-Z
 1/2-Y,-X,3/4+Z
 1/2+Y,X,3/4+Z
 1/2+X,1/2+Y,1/2+Z
 1/2-X,1/2-Y,1/2+Z
 1/2-Y,1/2+X,1/2-Z
 1/2+Y,1/2-X,1/2-Z
 -X,1/2+Y,1/4-Z
 X,1/2-Y,1/4-Z
 -Y,1/2-X,1/4+Z
 Y,1/2+X,1/4+Z
123 16 16 P4/mmm PG4/mmm TETRAGONAL 'P 4/m 2/m 2/m' 'P4/m m m'
 X,Y,Z
 -X,-Y,Z
 -Y,X,Z
 Y,-X,Z
 -X,Y,-Z
 X,-Y,-Z
 Y,X,-Z
 -Y,-X,-Z
 -X,-Y,-Z
 X,Y,-Z
 Y,-X,-Z
 -Y,X,-Z
 X,-Y,Z
 -X,Y,Z
 -Y,-X,Z
 Y,X,Z
124 16 16 P4/mcc PG4/mmm TETRAGONAL 'P 4/m 2/c 2/c' 'P4/m c c'
 X,Y,Z
 -X,-Y,Z
 -Y,X,Z
 Y,-X,Z
 -X,Y,1/2-Z
 X,-Y,1/2-Z
 Y,X,1/2-Z
 -Y,-X,1/2-Z
 -X,-Y,-Z
 X,Y,-Z
 Y,-X,-Z
 -Y,X,-Z
 X,-Y,1/2+Z
 -X,Y,1/2+Z
 -Y,-X,1/2+Z
 Y,X,1/2+Z
125 16 16 P4/nbm PG4/mmm TETRAGONAL 'P 4/n 2/b 2/m' 'P4/n b m'
 X,Y,Z
 -X,-Y,Z
 -Y,X,Z
 Y,-X,Z
 -X,Y,-Z
 X,-Y,-Z
 Y,X,-Z
 -Y,-X,-Z
 1/2-X,1/2-Y,-Z
 1/2+X,1/2+Y,-Z
 1/2+Y,1/2-X,-Z
 1/2-Y,1/2+X,-Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
 1/2-Y,1/2-X,Z
 1/2+Y,1/2+X,Z
126 16 16 P4/nnc PG4/mmm TETRAGONAL 'P 4/n 2/n 2/c' 'P4/n n c'
 X,Y,Z
 -X,-Y,Z
 -Y,X,Z
 Y,-X,Z
 -X,Y,-Z
 X,-Y,-Z
 Y,X,-Z
 -Y,-X,-Z
 1/2-X,1/2-Y,1/2-Z
 1/2+X,1/2+Y,1/2-Z
 1/2+Y,1/2-X,1/2-Z
 1/2-Y,1/2+X,1/2-Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
 1/2-Y,1/2-X,1/2+Z
 1/2+Y,1/2+X,1/2+Z
127 16 16 P4/mbm PG4/mmm TETRAGONAL 'P 4/m 21/b 2/m' 'P4/m b m'
 X,Y,Z
 -X,-Y,Z
 -Y,X,Z
 Y,-X,Z
 1/2-X,1/2+Y,-Z
 1/2+X,1/2-Y,-Z
 1/2+Y,1/2+X,-Z
 1/2-Y,1/2-X,-Z
 -X,-Y,-Z
 X,Y,-Z
 Y,-X,-Z
 -Y,X,-Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
 1/2-Y,1/2-X,Z
 1/2+Y,1/2+X,Z
128 16 16 P4/mnc PG4/mmm TETRAGONAL 'P 4/m 21/n 2/c' 'P4/m n c'
 X,Y,Z
 -X,-Y,Z
 -Y,X,Z
 Y,-X,Z
 1/2-X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,1/2-Z
 1/2+Y,1/2+X,1/2-Z
 1/2-Y,1/2-X,1/2-Z
 -X,-Y,-Z
 X,Y,-Z
 Y,-X,-Z
 -Y,X,-Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
 1/2-Y,1/2-X,1/2+Z
 1/2+Y,1/2+X,1/2+Z
129 16 16 P4/nmm PG4/mmm TETRAGONAL 'P 4/n 21/m 2/m' 'P4/n m m'
 X,Y,Z
 -X,-Y,Z
 1/2-Y,1/2+X,Z
 1/2+Y,1/2-X,Z
 1/2-X,1/2+Y,-Z
 1/2+X,1/2-Y,-Z
 Y,X,-Z
 -Y,-X,-Z
 1/2-X,1/2-Y,-Z
 1/2+X,1/2+Y,-Z
 Y,-X,-Z
 -Y,X,-Z
 X,-Y,Z
 -X,Y,Z
 1/2-Y,1/2-X,Z
 1/2+Y,1/2+X,Z
130 16 16 P4/ncc PG4/mmm TETRAGONAL 'P 4/n 2/c 2/c' 'P4/n c c'
 X,Y,Z
 -X,-Y,Z
 1/2-Y,1/2+X,Z
 1/2+Y,1/2-X,Z
 1/2-X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,1/2-Z
 Y,X,1/2-Z
 -Y,-X,1/2-Z
 1/2-X,1/2-Y,-Z
 1/2+X,1/2+Y,-Z
 Y,-X,-Z
 -Y,X,-Z
 X,-Y,1/2+Z
 -X,Y,1/2+Z
 1/2-Y,1/2-X,1/2+Z
 1/2+Y,1/2+X,1/2+Z
131 16 16 P42/mmc PG4/mmm TETRAGONAL 'P 42/m 2/m 2/c' 'P42/m m c'
 X,Y,Z
 -X,-Y,Z
 -Y,X,1/2+Z
 Y,-X,1/2+Z
 -X,Y,-Z
 X,-Y,-Z
 Y,X,1/2-Z
 -Y,-X,1/2-Z
 -X,-Y,-Z
 X,Y,-Z
 Y,-X,1/2-Z
 -Y,X,1/2-Z
 X,-Y,Z
 -X,Y,Z
 -Y,-X,1/2+Z
 Y,X,1/2+Z
132 16 16 P42/mcm PG4/mmm TETRAGONAL 'P 42/m 2/c 2/m' 'P42/m c m'
 X,Y,Z
 -X,-Y,Z
 -Y,X,1/2+Z
 Y,-X,1/2+Z
 -X,Y,1/2-Z
 X,-Y,1/2-Z
 Y,X,-Z
 -Y,-X,-Z
 -X,-Y,-Z
 X,Y,-Z
 Y,-X,1/2-Z
 -Y,X,1/2-Z
 X,-Y,1/2+Z
 -X,Y,1/2+Z
 -Y,-X,Z
 Y,X,Z
133 16 16 P42/nbc PG4/mmm TETRAGONAL 'P 42/n 2/b 2/c' 'P42/n b c'
 X,Y,Z
 -X,-Y,Z
 1/2-Y,1/2+X,1/2+Z
 1/2+Y,1/2-X,1/2+Z
 -X,Y,1/2-Z
 X,-Y,1/2-Z
 1/2+Y,1/2+X,-Z
 1/2-Y,1/2-X,-Z
 1/2-X,1/2-Y,1/2-Z
 1/2+X,1/2+Y,1/2-Z
 Y,-X,-Z
 -Y,X,-Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
 -Y,-X,1/2+Z
 Y,X,1/2+Z
134 16 16 P42/nnm PG4/mmm TETRAGONAL 'P 42/n 2/n 2/m' 'P42/n n m'
 X,Y,Z
 -X,-Y,Z
 1/2-Y,1/2+X,1/2+Z
 1/2+Y,1/2-X,1/2+Z
 -X,Y,-Z
 X,-Y,-Z
 1/2+Y,1/2+X,1/2-Z
 1/2-Y,1/2-X,1/2-Z
 1/2-X,1/2-Y,1/2-Z
 1/2+X,1/2+Y,1/2-Z
 Y,-X,-Z
 -Y,X,-Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
 -Y,-X,Z
 Y,X,Z
135 16 16 P42/mbc PG4/mmm TETRAGONAL 'P 42/m 21/b 2/c' 'P42/m b c'
 X,Y,Z
 -X,-Y,Z
 -Y,X,1/2+Z
 Y,-X,1/2+Z
 1/2-X,1/2+Y,-Z
 1/2+X,1/2-Y,-Z
 1/2+Y,1/2+X,1/2-Z
 1/2-Y,1/2-X,1/2-Z
 -X,-Y,-Z
 X,Y,-Z
 Y,-X,1/2-Z
 -Y,X,1/2-Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
 1/2-Y,1/2-X,1/2+Z
 1/2+Y,1/2+X,1/2+Z
136 16 16 P42/mnm PG4/mmm TETRAGONAL 'P 42/m 21/n 2/m' 'P42/m n m'
 X,Y,Z
 -X,-Y,Z
 1/2-Y,X+1/2,Z+1/2
 Y+1/2,1/2-X,Z+1/2
 1/2-X,Y+1/2,1/2-Z
 X+1/2,1/2-Y,1/2-Z
 Y,X,-Z
 -Y,-X,-Z
 -X,-Y,-Z
 X,Y,-Z
 Y+1/2,1/2-X,1/2-Z
 1/2-Y,X+1/2,1/2-Z
 X+1/2,1/2-Y,Z+1/2
 1/2-X,Y+1/2,Z+1/2
 -Y,-X,Z
 Y,X,Z
137 16 16 P42/nmc PG4/mmm TETRAGONAL 'P 42/n 21/m 2/c' 'P42/n m c'
 X,Y,Z
 -X,-Y,Z
 1/2-Y,1/2+X,1/2+Z
 1/2+Y,1/2-X,1/2+Z
 1/2-X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,1/2-Z
 Y,X,-Z
 -Y,-X,-Z
 1/2-X,1/2-Y,1/2-Z
 1/2+X,1/2+Y,1/2-Z
 Y,-X,-Z
 -Y,X,-Z
 X,-Y,Z
 -X,Y,Z
 1/2-Y,1/2-X,1/2+Z
 1/2+Y,1/2+X,1/2+Z
138 16 16 P42/ncm PG4/mmm TETRAGONAL 'P 42/n 21/c 2/m' 'P42/n c m'
 X,Y,Z
 -X,-Y,Z
 1/2-Y,1/2+X,1/2+Z
 1/2+Y,1/2-X,1/2+Z
 1/2-X,1/2+Y,-Z
 1/2+X,1/2-Y,-Z
 Y,X,1/2-Z
 -Y,-X,1/2-Z
 1/2-X,1/2-Y,1/2-Z
 1/2+X,1/2+Y,1/2-Z
 Y,-X,-Z
 -Y,X,-Z
 X,-Y,1/2+Z
 -X,Y,1/2+Z
 1/2-Y,1/2-X,Z
 1/2+Y,1/2+X,Z
139 32 16 I4/mmm PG4/mmm TETRAGONAL 'I 4/m 2/m 2/m' 'I4/m m m'
 X,Y,Z
 -X,-Y,Z
 -Y,X,Z
 Y,-X,Z
 -X,Y,-Z
 X,-Y,-Z
 Y,X,-Z
 -Y,-X,-Z
 -X,-Y,-Z
 X,Y,-Z
 Y,-X,-Z
 -Y,X,-Z
 X,-Y,Z
 -X,Y,Z
 -Y,-X,Z
 Y,X,Z
 1/2+X,1/2+Y,1/2+Z
 1/2-X,1/2-Y,1/2+Z
 1/2-Y,1/2+X,1/2+Z
 1/2+Y,1/2-X,1/2+Z
 1/2-X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,1/2-Z
 1/2+Y,1/2+X,1/2-Z
 1/2-Y,1/2-X,1/2-Z
 1/2-X,1/2-Y,1/2-Z
 1/2+X,1/2+Y,1/2-Z
 1/2+Y,1/2-X,1/2-Z
 1/2-Y,1/2+X,1/2-Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
 1/2-Y,1/2-X,1/2+Z
 1/2+Y,1/2+X,1/2+Z
140 32 16 I4/mcm PG4/mmm TETRAGONAL 'I 4/m 2/c 2/m' 'I4/m c m'
 X,Y,Z
 -X,-Y,Z
 -Y,X,Z
 Y,-X,Z
 -X,Y,1/2-Z
 X,-Y,1/2-Z
 Y,X,1/2-Z
 -Y,-X,1/2-Z
 -X,-Y,-Z
 X,Y,-Z
 Y,-X,-Z
 -Y,X,-Z
 X,-Y,1/2+Z
 -X,Y,1/2+Z
 -Y,-X,1/2+Z
 Y,X,1/2+Z
 1/2+X,1/2+Y,1/2+Z
 1/2-X,1/2-Y,1/2+Z
 1/2-Y,1/2+X,1/2+Z
 1/2+Y,1/2-X,1/2+Z
 1/2-X,1/2+Y,-Z
 1/2+X,1/2-Y,-Z
 1/2+Y,1/2+X,-Z
 1/2-Y,1/2-X,-Z
 1/2-X,1/2-Y,1/2-Z
 1/2+X,1/2+Y,1/2-Z
 1/2+Y,1/2-X,1/2-Z
 1/2-Y,1/2+X,1/2-Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
 1/2-Y,1/2-X,Z
 1/2+Y,1/2+X,Z
141 32 16 I41/amd PG4/mmm TETRAGONAL 'I 41/a 2/m 2/d' 'I41/a m d'
 X,Y,Z
 1/2-X,1/2-Y,1/2+Z
 -Y,1/2+X,1/4+Z
 1/2+Y,-X,3/4+Z
 1/2-X,Y,3/4-Z
 X,1/2-Y,1/4-Z
 1/2+Y,1/2+X,1/2-Z
 -Y,-X,-Z
 -X,1/2-Y,1/4-Z
 1/2+X,Y,3/4-Z
 Y,-X,-Z
 1/2-Y,1/2+X,1/2-Z
 1/2+X,1/2-Y,1/2+Z
 -X,Y,Z
 1/2-Y,-X,3/4+Z
 Y,1/2+X,1/4+Z
 1/2+X,1/2+Y,1/2+Z
 -X,-Y,Z
 1/2-Y,X,3/4+Z
 Y,1/2-X,1/4+Z
 -X,1/2+Y,1/4-Z
 1/2+X,-Y,3/4-Z
 Y,X,-Z
 1/2-Y,1/2-X,1/2-Z
 1/2-X,-Y,3/4-Z
 X,1/2+Y,1/4-Z
 1/2+Y,1/2-X,1/2-Z
 -Y,X,-Z
 X,-Y,Z
 1/2-X,1/2+Y,1/2+Z
 -Y,1/2-X,1/4+Z
 1/2+Y,X,3/4+Z
142 32 16 I41/acd PG4/mmm TETRAGONAL 'I 41/a 2/c 2/d' 'I41/a c d'
 X,Y,Z
 1/2-X,1/2-Y,1/2+Z
 -Y,1/2+X,1/4+Z
 1/2+Y,-X,3/4+Z
 1/2-X,Y,1/4-Z
 X,1/2-Y,3/4-Z
 1/2+Y,1/2+X,-Z
 -Y,-X,1/2-Z
 -X,1/2-Y,1/4-Z
 1/2+X,Y,3/4-Z
 Y,-X,-Z
 1/2-Y,1/2+X,1/2-Z
 1/2+X,1/2-Y,Z
 -X,Y,1/2+Z
 1/2-Y,-X,1/4+Z
 Y,1/2+X,3/4+Z
 1/2+X,1/2+Y,1/2+Z
 -X,-Y,Z
 1/2-Y,X,3/4+Z
 Y,1/2-X,1/4+Z
 -X,1/2+Y,3/4-Z
 1/2+X,-Y,1/4-Z
 Y,X,1/2-Z
 1/2-Y,1/2-X,-Z
 1/2-X,-Y,3/4-Z
 X,1/2+Y,1/4-Z
 1/2+Y,1/2-X,1/2-Z
 -Y,X,-Z
 X,-Y,1/2+Z
 1/2-X,1/2+Y,Z
 -Y,1/2-X,3/4+Z
 1/2+Y,X,1/4+Z
143 3 3 P3 PG3 TRIGONAL 'P 3'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z
144 3 3 P31 PG3 TRIGONAL 'P 31'
 X,Y,Z
 -Y,X-Y,Z+1/3
 Y-X,-X,Z+2/3
145 3 3 P32 PG3 TRIGONAL 'P 32'
 X,Y,Z
 -Y,X-Y,Z+2/3
 Y-X,-X,Z+1/3
146 9 3 R3 PG3 TRIGONAL 'R 3'
 X,Y,Z
 -Y,X-Y,Z
 Y-X,-X,Z
 X+2/3,Y+1/3,Z+1/3
 -Y+2/3,X-Y+1/3,Z+1/3
 Y-X+2/3,-X+1/3,Z+1/3
 X+1/3,Y+2/3,Z+2/3
 -Y+1/3,X-Y+2/3,Z+2/3
 Y-X+1/3,-X+2/3,Z+2/3
147 6 6 P-3 PG3bar TRIGONAL 'P -3'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z
 -X,-Y,-Z
 Y,Y-X,-Z
 X-Y,X,-Z
148 18 6 R-3 PG3bar TRIGONAL 'R -3'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z
 -X,-Y,-Z
 Y,Y-X,-Z
 X-Y,X,-Z
 2/3+X,1/3+Y,1/3+Z 
 2/3-Y,1/3+X-Y,1/3+Z 
 2/3+Y-X,1/3-X,1/3+Z
 2/3-X,1/3-Y,1/3-Z
 2/3+Y,1/3+Y-X,1/3-Z
 2/3+X-Y,1/3+X,1/3-Z
 1/3+X,2/3+Y,2/3+Z 
 1/3-Y,2/3+X-Y,2/3+Z 
 1/3+Y-X,2/3-X,2/3+Z
 1/3-X,2/3-Y,2/3-Z
 1/3+Y,2/3+Y-X,2/3-Z
 1/3+X-Y,2/3+X,2/3-Z
149 6 6 P312 PG312 TRIGONAL 'P 3 1 2'
 X,Y,Z
 -Y,X-Y,Z
 Y-X,-X,Z
 -Y,-X,-Z
 Y-X,Y,-Z
 X,X-Y,-Z
150 6 6 P321 PG321 TRIGONAL 'P 3 2 1'
 X,Y,Z
 -Y,X-Y,Z
 Y-X,-X,Z
 Y,X,-Z
 X-Y,-Y,-Z
 -X,Y-X,-Z
151 6 6 P3112 PG312 TRIGONAL 'P 31 1 2'
 X,Y,Z
 -Y,X-Y,1/3+Z
 Y-X,-X,2/3+Z
 -Y,-X,2/3-Z
 Y-X,Y,1/3-Z
 X,X-Y,-Z
152 6 6 P3121 PG321 TRIGONAL 'P 31 2 1'
 X,Y,Z
 -Y,X-Y,Z+1/3
 Y-X,-X,Z+2/3
 Y,X,-Z
 X-Y,-Y,2/3-Z
 -X,Y-X,1/3-Z
153 6 6 P3212 PG312 TRIGONAL 'P 32 1 2'
 X,Y,Z
 -Y,X-Y,2/3+Z
 Y-X,-X,1/3+Z
 -Y,-X,1/3-Z
 Y-X,Y,2/3-Z
 X,X-Y,-Z
154 6 6 P3221 PG321 TRIGONAL 'P 32 2 1'
 X,Y,Z
 -Y,X-Y,Z+2/3
 Y-X,-X,Z+1/3
 Y,X,-Z
 X-Y,-Y,1/3-Z
 -X,Y-X,2/3-Z
155 18 6 R32 PG32 TRIGONAL 'R 3 2'
 X,Y,Z
 -Y,X-Y,Z
 Y-X,-X,Z
 Y,X,-Z
 X-Y,-Y,-Z 
 -X,Y-X,-Z
 2/3+X,1/3+Y,1/3+Z
 2/3-Y,1/3+X-Y,1/3+Z
 2/3+Y-X,1/3-X,1/3+Z
 2/3+Y,1/3+X,1/3-Z
 2/3+X-Y,1/3-Y,1/3-Z 
 2/3-X,1/3+Y-X,1/3-Z
 1/3+X,2/3+Y,2/3+Z
 1/3-Y,2/3+X-Y,2/3+Z
 1/3+Y-X,2/3-X,2/3+Z
 1/3+Y,2/3+X,2/3-Z
 1/3+X-Y,2/3-Y,2/3-Z 
 1/3-X,2/3+Y-X,2/3-Z
156 6 6 P3m1 PG3m1 TRIGONAL 'P 3 m 1'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z
 -Y,-X,Z
 Y-X,Y,Z
 X,X-Y,Z
157 6 6 P31m PG31m TRIGONAL 'P 3 1 m'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z
 Y,X,Z
 X-Y,-Y,Z
 -X,Y-X,Z
158 6 6 P3c1 PG3m1 TRIGONAL 'P 3 c 1'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z
 -Y,-X,1/2+Z
 Y-X,Y,1/2+Z
 X,X-Y,1/2+Z
159 6 6 P31c PG31m TRIGONAL 'P 3 1 c'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z
 Y,X,1/2+Z
 X-Y,-Y,1/2+Z
 -X,Y-X,1/2+Z
160 18 6 R3m PG3m TRIGONAL 'R 3 m'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z
 -Y,-X,Z
 Y-X,Y,Z
 X,X-Y,Z
 2/3+X,1/3+Y,1/3+Z 
 2/3-Y,1/3+X-Y,1/3+Z 
 2/3+Y-X,1/3-X,1/3+Z
 2/3-Y,1/3-X,1/3+Z
 2/3+Y-X,1/3+Y,1/3+Z
 2/3+X,1/3+X-Y,1/3+Z
 1/3+X,2/3+Y,2/3+Z 
 1/3-Y,2/3+X-Y,2/3+Z 
 1/3+Y-X,2/3-X,2/3+Z
 1/3-Y,2/3-X,2/3+Z
 1/3+Y-X,2/3+Y,2/3+Z
 1/3+X,2/3+X-Y,2/3+Z
161 18 6 R3c PG3m TRIGONAL 'R 3 c'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z
 -Y,-X,1/2+Z
 Y-X,Y,1/2+Z
 X,X-Y,1/2+Z
 2/3+X,1/3+Y,1/3+Z 
 2/3-Y,1/3+X-Y,1/3+Z 
 2/3+Y-X,1/3-X,1/3+Z
 2/3-Y,1/3-X,5/6+Z
 2/3+Y-X,1/3+Y,5/6+Z
 2/3+X,1/3+X-Y,5/6+Z
 1/3+X,2/3+Y,2/3+Z 
 1/3-Y,2/3+X-Y,2/3+Z 
 1/3+Y-X,2/3-X,2/3+Z
 1/3-Y,2/3-X,1/6+Z
 1/3+Y-X,2/3+Y,1/6+Z
 1/3+X,2/3+X-Y,1/6+Z
162 12 12 P-31m PG3bar1m TRIGONAL 'P -3 1 2/m' 'P -3 1 m'
 X,Y,Z
 -Y,X-Y,Z
 Y-X,-X,Z
 -Y,-X,-Z
 Y-X,Y,-Z
 X,X-Y,-Z
 -X,-Y,-Z
 Y,Y-X,-Z
 X-Y,X,-Z
 Y,X,Z
 X-Y,-Y,Z
 -X,Y-X,Z
163 12 12 P-31c PG3bar1m TRIGONAL 'P -3 1 2/c' 'P -3 1 c'
 X,Y,Z
 -Y,X-Y,Z
 Y-X,-X,Z
 -Y,-X,1/2-Z
 Y-X,Y,1/2-Z
 X,X-Y,1/2-Z
 -X,-Y,-Z
 Y,Y-X,-Z
 X-Y,X,-Z
 Y,X,1/2+Z
 X-Y,-Y,1/2+Z
 -X,Y-X,1/2+Z
164 12 12 P-3m1 PG3barm1 TRIGONAL 'P -3 2/m 1' 'P -3 m 1'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z
 Y,X,-Z
 X-Y,-Y,-Z
 -X,Y-X,-Z
 -X,-Y,-Z
 Y,Y-X,-Z
 X-Y,X,-Z
 -Y,-X,Z
 Y-X,Y,Z
 X,X-Y,Z
165 12 12 P-3c1 PG3barm1 TRIGONAL 'P -3 2/c 1' 'P -3 c 1'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z
 Y,X,1/2-Z
 X-Y,-Y,1/2-Z
 -X,Y-X,1/2-Z
 -X,-Y,-Z
 Y,Y-X,-Z
 X-Y,X,-Z
 -Y,-X,1/2+Z
 Y-X,Y,1/2+Z
 X,X-Y,1/2+Z
166 36 12 R-3m PG3barm TRIGONAL 'R -3 2/m' 'R -3 m'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z
 Y,X,-Z
 X-Y,-Y,-Z
 -X,Y-X,-Z
 -X,-Y,-Z
 Y,Y-X,-Z
 X-Y,X,-Z
 -Y,-X,Z
 Y-X,Y,Z
 X,X-Y,Z
 2/3+X,1/3+Y,1/3+Z 
 2/3-Y,1/3+X-Y,1/3+Z 
 2/3+Y-X,1/3-X,1/3+Z
 2/3+Y,1/3+X,1/3-Z
 2/3+X-Y,1/3-Y,1/3-Z
 2/3-X,1/3+Y-X,1/3-Z
 2/3-X,1/3-Y,1/3-Z
 2/3+Y,1/3+Y-X,1/3-Z
 2/3+X-Y,1/3+X,1/3-Z
 2/3-Y,1/3-X,1/3+Z
 2/3+Y-X,1/3+Y,1/3+Z
 2/3+X,1/3+X-Y,1/3+Z
 1/3+X,2/3+Y,2/3+Z 
 1/3-Y,2/3+X-Y,2/3+Z 
 1/3+Y-X,2/3-X,2/3+Z
 1/3+Y,2/3+X,2/3-Z
 1/3+X-Y,2/3-Y,2/3-Z
 1/3-X,2/3+Y-X,2/3-Z
 1/3-X,2/3-Y,2/3-Z
 1/3+Y,2/3+Y-X,2/3-Z
 1/3+X-Y,2/3+X,2/3-Z
 1/3-Y,2/3-X,2/3+Z
 1/3+Y-X,2/3+Y,2/3+Z
 1/3+X,2/3+X-Y,2/3+Z
167 36 12 R-3c PG3barm TRIGONAL 'R -3 2/c' 'R -3 c'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z
 Y,X,1/2-Z
 X-Y,-Y,1/2-Z
 -X,Y-X,1/2-Z
 -X,-Y,-Z
 Y,Y-X,-Z
 X-Y,X,-Z
 -Y,-X,1/2+Z
 Y-X,Y,1/2+Z
 X,X-Y,1/2+Z
 2/3+X,1/3+Y,1/3+Z 
 2/3-Y,1/3+X-Y,1/3+Z 
 2/3+Y-X,1/3-X,1/3+Z
 2/3+Y,1/3+X,5/6-Z
 2/3+X-Y,1/3-Y,5/6-Z
 2/3-X,1/3+Y-X,5/6-Z
 2/3-X,1/3-Y,1/3-Z
 2/3+Y,1/3+Y-X,1/3-Z
 2/3+X-Y,1/3+X,1/3-Z
 2/3-Y,1/3-X,5/6+Z
 2/3+Y-X,1/3+Y,5/6+Z
 2/3+X,1/3+X-Y,5/6+Z
 1/3+X,2/3+Y,2/3+Z 
 1/3-Y,2/3+X-Y,2/3+Z 
 1/3+Y-X,2/3-X,2/3+Z
 1/3+Y,2/3+X,1/6-Z
 1/3+X-Y,2/3-Y,1/6-Z
 1/3-X,2/3+Y-X,1/6-Z
 1/3-X,2/3-Y,2/3-Z
 1/3+Y,2/3+Y-X,2/3-Z
 1/3+X-Y,2/3+X,2/3-Z
 1/3-Y,2/3-X,1/6+Z
 1/3+Y-X,2/3+Y,1/6+Z
 1/3+X,2/3+X-Y,1/6+Z
168 6 6 P6 PG6 HEXAGONAL 'P 6'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z 
 -X,-Y,Z 
 Y,Y-X,Z 
 X-Y,X,Z 
169 6 6 P61 PG6 HEXAGONAL 'P 61'
 X,Y,Z
 -Y,X-Y,Z+1/3
 Y-X,-X,Z+2/3
 -X,-Y,Z+1/2
 Y,Y-X,Z+5/6
 X-Y,X,Z+1/6
170 6 6 P65 PG6 HEXAGONAL 'P 65'
 X,Y,Z
 -Y,X-Y,Z+2/3
 Y-X,-X,Z+1/3
 -X,-Y,Z+1/2
 Y,Y-X,Z+1/6
 X-Y,X,Z+5/6
171 6 6 P62 PG6 HEXAGONAL 'P 62'
 X,Y,Z 
 -Y,X-Y,2/3+Z 
 Y-X,-X,1/3+Z 
 -X,-Y,Z 
 Y,Y-X,2/3+Z 
 X-Y,X,1/3+Z
172 6 6 P64 PG6 HEXAGONAL 'P 64'
 X,Y,Z 
 -Y,X-Y,1/3+Z 
 Y-X,-X,2/3+Z 
 -X,-Y,Z 
 Y,Y-X,1/3+Z 
 X-Y,X,2/3+Z
173 6 6 P63 PG6 HEXAGONAL 'P 63'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z 
 -X,-Y,1/2+Z 
 Y,Y-X,1/2+Z 
 X-Y,X,1/2+Z 
174 6 6 P-6 PG6bar HEXAGONAL 'P -6'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z 
 X,Y,-Z
 -Y,X-Y,-Z
 Y-X,-X,-Z
175 12 12 P6/m PG6/m HEXAGONAL 'P 6/m'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z 
 -X,-Y,Z 
 Y,Y-X,Z 
 X-Y,X,Z 
 -X,-Y,-Z
 Y,Y-X,-Z
 X-Y,X,-Z
 X,Y,-Z
 -Y,X-Y,-Z
 Y-X,-X,-Z
176 12 12 P63/m PG6/m HEXAGONAL 'P 63/m'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z 
 -X,-Y,1/2+Z 
 Y,Y-X,1/2+Z 
 X-Y,X,1/2+Z 
 -X,-Y,-Z
 Y,Y-X,-Z
 X-Y,X,-Z
 X,Y,1/2-Z
 -Y,X-Y,1/2-Z
 Y-X,-X,1/2-Z
177 12 12 P622 PG622 HEXAGONAL 'P 6 2 2'
 X,Y,Z        
 -Y,X-Y,Z       
 Y-X,-X,Z
 -X,-Y,Z
 Y,Y-X,Z
 X-Y,X,Z
 Y,X,-Z       
 X-Y,-Y,-Z
 -X,Y-X,-Z      
 -Y,-X,-Z     
 Y-X,Y,-Z
 X,X-Y,-Z      
178 12 12 P6122 PG622 HEXAGONAL 'P 61 2 2'
 X,Y,Z        
 -Y,X-Y,1/3+Z   
 Y-X,-X,2/3+Z
 -X,-Y,1/2+Z  
 Y,Y-X,5/6+Z   
 X-Y,X,1/6+Z
 Y,X,1/3-Z  
 X-Y,-Y,-Z
 -X,Y-X,2/3-Z
 -Y,-X,5/6-Z
 Y-X,Y,1/2-Z
 X,X-Y,1/6-Z
179 12 12 P6522 PG622 HEXAGONAL 'P 65 2 2'
 X,Y,Z       
 -Y,X-Y,2/3+Z   
 Y-X,-X,1/3+Z
 -X,-Y,1/2+Z  
 Y,Y-X,1/6+Z   
 X-Y,X,5/6+Z
 Y,X,2/3-Z  
 X-Y,-Y,-Z
 -X,Y-X,1/3-Z   
 -Y,-X,1/6-Z  
 Y-X,Y,1/2-Z
 X,X-Y,5/6-Z   
180 12 12 P6222 PG622 HEXAGONAL 'P 62 2 2'
 X,Y,Z        
 -Y,X-Y,2/3+Z       
 Y-X,-X,1/3+Z
 -X,-Y,Z
 Y,Y-X,2/3+Z
 X-Y,X,1/3+Z
 Y,X,2/3-Z       
 X-Y,-Y,-Z
 -X,Y-X,1/3-Z      
 -Y,-X,2/3-Z     
 Y-X,Y,-Z
 X,X-Y,1/3-Z      
181 12 12 P6422 PG622 HEXAGONAL 'P 64 2 2'
 X,Y,Z        
 -Y,X-Y,1/3+Z       
 Y-X,-X,2/3+Z
 -X,-Y,Z
 Y,Y-X,1/3+Z
 X-Y,X,2/3+Z
 Y,X,1/3-Z       
 X-Y,-Y,-Z
 -X,Y-X,2/3-Z      
 -Y,-X,1/3-Z     
 Y-X,Y,-Z
 X,X-Y,2/3-Z      
182 12 12 P6322 PG622 HEXAGONAL 'P 63 2 2'
 X,Y,Z        
 -Y,X-Y,Z       
 Y-X,-X,Z
 -X,-Y,1/2+Z
 Y,Y-X,1/2+Z
 X-Y,X,1/2+Z
 Y,X,-Z       
 X-Y,-Y,-Z
 -X,Y-X,-Z      
 -Y,-X,1/2-Z     
 Y-X,Y,1/2-Z
 X,X-Y,1/2-Z      
183 12 12 P6mm PG6mm HEXAGONAL 'P 6 m m'
 X,Y,Z        
 -Y,X-Y,Z       
 Y-X,-X,Z
 -X,-Y,Z
 Y,Y-X,Z
 X-Y,X,Z
 -Y,-X,Z
 Y-X,Y,Z
 X,X-Y,Z
 Y,X,Z
 X-Y,-Y,Z
 -X,Y-X,Z
184 12 12 P6cc PG6mm HEXAGONAL 'P 6 c c'
 X,Y,Z        
 -Y,X-Y,Z       
 Y-X,-X,Z
 -X,-Y,Z
 Y,Y-X,Z
 X-Y,X,Z
 -Y,-X,1/2+Z
 Y-X,Y,1/2+Z
 X,X-Y,1/2+Z
 Y,X,1/2+Z
 X-Y,-Y,1/2+Z
 -X,Y-X,1/2+Z
185 12 12 P63cm PG6mm HEXAGONAL 'P 63 c m'
 X,Y,Z        
 -Y,X-Y,Z       
 Y-X,-X,Z
 -X,-Y,1/2+Z
 Y,Y-X,1/2+Z
 X-Y,X,1/2+Z
 -Y,-X,1/2+Z
 Y-X,Y,1/2+Z
 X,X-Y,1/2+Z
 Y,X,Z
 X-Y,-Y,Z
 -X,Y-X,Z
186 12 12 P63mc PG6mm HEXAGONAL 'P 63 m c'
 X,Y,Z        
 -Y,X-Y,Z       
 Y-X,-X,Z
 -X,-Y,1/2+Z
 Y,Y-X,1/2+Z
 X-Y,X,1/2+Z
 -Y,-X,Z
 Y-X,Y,Z
 X,X-Y,Z
 Y,X,1/2+Z
 X-Y,-Y,1/2+Z
 -X,Y-X,1/2+Z
187 12 12 P-6m2 PG6barm2 HEXAGONAL 'P -6 m 2'
 X,Y,Z        
 -Y,X-Y,Z       
 Y-X,-X,Z
 X,Y,-Z
 -Y,X-Y,-Z
 Y-X,-X,-Z
 -Y,-X,Z
 Y-X,Y,Z
 X,X-Y,Z
 -Y,-X,-Z
 Y-X,Y,-Z
 X,X-Y,-Z
188 12 12 P-6c2 PG6barm2 HEXAGONAL 'P -6 c 2'
 X,Y,Z        
 -Y,X-Y,Z       
 Y-X,-X,Z
 X,Y,1/2-Z
 -Y,X-Y,1/2-Z
 Y-X,-X,1/2-Z
 -Y,-X,1/2+Z
 Y-X,Y,1/2+Z
 X,X-Y,1/2+Z
 -Y,-X,-Z
 Y-X,Y,-Z
 X,X-Y,-Z
189 12 12 P-62m PG6bar2m HEXAGONAL 'P -6 2 m'
 X,Y,Z        
 -Y,X-Y,Z       
 Y-X,-X,Z
 X,Y,-Z
 -Y,X-Y,-Z
 Y-X,-X,-Z
 Y,X,-Z
 X-Y,-Y,-Z
 -X,Y-X,-Z
 Y,X,Z
 X-Y,-Y,Z
 -X,Y-X,Z
190 12 12 P-62c PG6bar2m HEXAGONAL 'P -6 2 c'
 X,Y,Z        
 -Y,X-Y,Z       
 Y-X,-X,Z
 X,Y,1/2-Z
 -Y,X-Y,1/2-Z
 Y-X,-X,1/2-Z
 Y,X,-Z
 X-Y,-Y,-Z
 -X,Y-X,-Z
 Y,X,1/2+Z
 X-Y,-Y,1/2+Z
 -X,Y-X,1/2+Z
191 24 24 P6/mmm PG6/mmm HEXAGONAL 'P 6/m 2/m 2/m' 'P 6/m m m'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z 
 -X,-Y,Z 
 Y,Y-X,Z 
 X-Y,X,Z 
 Y,X,-Z 
 X-Y,-Y,-Z
 -X,Y-X,-Z 
 -Y,-X,-Z 
 Y-X,Y,-Z
 X,X-Y,-Z 
 -X,-Y,-Z 
 Y,Y-X,-Z 
 X-Y,X,-Z 
 X,Y,-Z 
 Y-X,-X,-Z 
 -Y,X-Y,-Z 
 -Y,-X,Z 
 Y-X,Y,Z
 X,X-Y,Z 
 Y,X,Z 
 X-Y,-Y,Z
 -X,Y-X,Z 
192 24 24 P6/mcc PG6/mmm HEXAGONAL 'P 6/m 2/c 2/c' 'P 6/m c c'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z 
 -X,-Y,Z 
 Y,Y-X,Z 
 X-Y,X,Z 
 Y,X,1/2-Z 
 X-Y,-Y,1/2-Z
 -X,Y-X,1/2-Z 
 -Y,-X,1/2-Z 
 Y-X,Y,1/2-Z
 X,X-Y,1/2-Z 
 -X,-Y,-Z 
 Y,Y-X,-Z 
 X-Y,X,-Z 
 X,Y,-Z 
 Y-X,-X,-Z 
 -Y,X-Y,-Z 
 -Y,-X,1/2+Z 
 Y-X,Y,1/2+Z
 X,X-Y,1/2+Z 
 Y,X,1/2+Z 
 X-Y,-Y,1/2+Z
 -X,Y-X,1/2+Z 
193 24 24 P63/mcm PG6/mmm HEXAGONAL 'P 63/m 2/c 2/m' 'P 63/m c m'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z 
 -X,-Y,1/2+Z 
 Y,Y-X,1/2+Z 
 X-Y,X,1/2+Z 
 Y,X,1/2-Z 
 X-Y,-Y,1/2-Z
 -X,Y-X,1/2-Z 
 -Y,-X,-Z 
 Y-X,Y,-Z
 X,X-Y,-Z 
 -X,-Y,-Z 
 Y,Y-X,-Z 
 X-Y,X,-Z 
 X,Y,1/2-Z 
 Y-X,-X,1/2-Z 
 -Y,X-Y,1/2-Z 
 -Y,-X,1/2+Z 
 Y-X,Y,1/2+Z
 X,X-Y,1/2+Z 
 Y,X,Z 
 X-Y,-Y,Z
 -X,Y-X,Z 
194 24 24 P63/mmc PG6/mmm HEXAGONAL 'P 63/m 2/m 2/c' 'P 63/m m c'
 X,Y,Z 
 -Y,X-Y,Z 
 Y-X,-X,Z 
 -X,-Y,1/2+Z 
 Y,Y-X,1/2+Z 
 X-Y,X,1/2+Z 
 Y,X,-Z 
 X-Y,-Y,-Z
 -X,Y-X,-Z 
 -Y,-X,1/2-Z 
 Y-X,Y,1/2-Z
 X,X-Y,1/2-Z 
 -X,-Y,-Z 
 Y,Y-X,-Z 
 X-Y,X,-Z 
 X,Y,1/2-Z 
 Y-X,-X,1/2-Z 
 -Y,X-Y,1/2-Z 
 -Y,-X,Z 
 Y-X,Y,Z
 X,X-Y,Z 
 Y,X,1/2+Z 
 X-Y,-Y,1/2+Z
 -X,Y-X,1/2+Z 
195 12 12 P23 PG23 CUBIC 'P 2 3'
 X,Y,Z 
 -X,-Y,Z 
 -X,Y,-Z 
 X,-Y,-Z 
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
196 48 12 F23 PG23 CUBIC 'F 2 3'
 X,Y,Z 
 -X,-Y,Z 
 -X,Y,-Z 
 X,-Y,-Z 
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 X,1/2+Y,1/2+Z 
 -X,1/2-Y,1/2+Z 
 -X,1/2+Y,1/2-Z 
 X,1/2-Y,1/2-Z 
 Z,1/2+X,1/2+Y
 Z,1/2-X,1/2-Y
 -Z,1/2-X,1/2+Y
 -Z,1/2+X,1/2-Y
 Y,1/2+Z,1/2+X
 -Y,1/2+Z,1/2-X
 Y,1/2-Z,1/2-X
 -Y,1/2-Z,1/2+X
 1/2+X,Y,1/2+Z 
 1/2-X,-Y,1/2+Z 
 1/2-X,Y,1/2-Z 
 1/2+X,-Y,1/2-Z 
 1/2+Z,X,1/2+Y
 1/2+Z,-X,1/2-Y
 1/2-Z,-X,1/2+Y
 1/2-Z,X,1/2-Y
 1/2+Y,Z,1/2+X
 1/2-Y,Z,1/2-X
 1/2+Y,-Z,1/2-X
 1/2-Y,-Z,1/2+X
 1/2+X,1/2+Y,Z 
 1/2-X,1/2-Y,Z 
 1/2-X,1/2+Y,-Z 
 1/2+X,1/2-Y,-Z 
 1/2+Z,1/2+X,Y
 1/2+Z,1/2-X,-Y
 1/2-Z,1/2-X,Y
 1/2-Z,1/2+X,-Y
 1/2+Y,1/2+Z,X
 1/2-Y,1/2+Z,-X
 1/2+Y,1/2-Z,-X
 1/2-Y,1/2-Z,X
197 24 12 I23 PG23 CUBIC 'I 2 3'
 X,Y,Z 
 -X,-Y,Z 
 -X,Y,-Z 
 X,-Y,-Z 
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 1/2+X,1/2+Y,1/2+Z 
 1/2-X,1/2-Y,1/2+Z 
 1/2-X,1/2+Y,1/2-Z 
 1/2+X,1/2-Y,1/2-Z 
 1/2+Z,1/2+X,1/2+Y
 1/2+Z,1/2-X,1/2-Y
 1/2-Z,1/2-X,1/2+Y
 1/2-Z,1/2+X,1/2-Y
 1/2+Y,1/2+Z,1/2+X
 1/2-Y,1/2+Z,1/2-X
 1/2+Y,1/2-Z,1/2-X
 1/2-Y,1/2-Z,1/2+X
198 12 12 P213 PG23 CUBIC 'P 21 3'
 X,Y,Z 
 1/2-X,-Y,1/2+Z 
 -X,1/2+Y,1/2-Z 
 1/2+X,1/2-Y,-Z 
 Z,X,Y
 1/2+Z,1/2-X,-Y
 1/2-Z,-X,1/2+Y
 -Z,1/2+X,1/2-Y
 Y,Z,X
 -Y,1/2+Z,1/2-X
 1/2+Y,1/2-Z,-X
 1/2-Y,-Z,1/2+X
199 24 12 I213 PG23 CUBIC 'I 21 3'
 X,Y,Z
 1/2-X,-Y,1/2+Z 
 -X,1/2+Y,1/2-Z 
 1/2+X,1/2-Y,-Z 
 Z,X,Y
 1/2+Z,1/2-X,-Y
 1/2-Z,-X,1/2+Y
 -Z,1/2+X,1/2-Y
 Y,Z,X
 -Y,1/2+Z,1/2-X
 1/2+Y,1/2-Z,-X
 1/2-Y,-Z,1/2+X
 1/2+X,1/2+Y,1/2+Z
 -X,1/2-Y,Z 
 1/2-X,Y,-Z 
 X,-Y,1/2-Z 
 1/2+Z,1/2+X,1/2+Y
 Z,-X,1/2-Y
 -Z,1/2-X,Y
 1/2-Z,X,-Y
 1/2+Y,1/2+Z,1/2+X
 1/2-Y,Z,-X
 Y,-Z,1/2-X
 -Y,1/2-Z,X
200 24 24 Pm-3 PGm3bar CUBIC 'P 2/m -3' 'P m -3'
 X,Y,Z 
 -X,-Y,Z 
 -X,Y,-Z 
 X,-Y,-Z 
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 -X,-Y,-Z
 X,Y,-Z
 X,-Y,Z
 -X,Y,Z
 -Z,-X,-Y
 -Z,X,Y
 Z,X,-Y
 Z,-X,Y
 -Y,-Z,-X
 Y,-Z,X
 -Y,Z,X
 Y,Z,-X
201 24 24 Pn-3 PGm3bar CUBIC 'P 2/n -3' 'P n -3'
 X,Y,Z 
 -X,-Y,Z 
 -X,Y,-Z 
 X,-Y,-Z 
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 1/2-X,1/2-Y,1/2-Z
 1/2+X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
 1/2-Z,1/2-X,1/2-Y
 1/2-Z,1/2+X,1/2+Y
 1/2+Z,1/2+X,1/2-Y
 1/2+Z,1/2-X,1/2+Y
 1/2-Y,1/2-Z,1/2-X
 1/2+Y,1/2-Z,1/2+X
 1/2-Y,1/2+Z,1/2+X
 1/2+Y,1/2+Z,1/2-X
202 96 24 Fm-3 PGm3bar CUBIC 'F 2/m -3' 'F m -3'
 X,Y,Z 
 -X,-Y,Z 
 -X,Y,-Z 
 X,-Y,-Z 
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 -X,-Y,-Z
 X,Y,-Z
 X,-Y,Z
 -X,Y,Z
 -Z,-X,-Y
 -Z,X,Y
 Z,X,-Y
 Z,-X,Y
 -Y,-Z,-X
 Y,-Z,X
 -Y,Z,X
 Y,Z,-X
 X,1/2+Y,1/2+Z 
 -X,1/2-Y,1/2+Z 
 -X,1/2+Y,1/2-Z 
 X,1/2-Y,1/2-Z 
 Z,1/2+X,1/2+Y
 Z,1/2-X,1/2-Y
 -Z,1/2-X,1/2+Y
 -Z,1/2+X,1/2-Y
 Y,1/2+Z,1/2+X
 -Y,1/2+Z,1/2-X
 Y,1/2-Z,1/2-X
 -Y,1/2-Z,1/2+X
 -X,1/2-Y,1/2-Z
 X,1/2+Y,1/2-Z
 X,1/2-Y,1/2+Z
 -X,1/2+Y,1/2+Z
 -Z,1/2-X,1/2-Y
 -Z,1/2+X,1/2+Y
 Z,1/2+X,1/2-Y
 Z,1/2-X,1/2+Y
 -Y,1/2-Z,1/2-X
 Y,1/2-Z,1/2+X
 -Y,1/2+Z,1/2+X
 Y,1/2+Z,1/2-X
 1/2+X,Y,1/2+Z 
 1/2-X,-Y,1/2+Z 
 1/2-X,Y,1/2-Z 
 1/2+X,-Y,1/2-Z 
 1/2+Z,X,1/2+Y
 1/2+Z,-X,1/2-Y
 1/2-Z,-X,1/2+Y
 1/2-Z,X,1/2-Y
 1/2+Y,Z,1/2+X
 1/2-Y,Z,1/2-X
 1/2+Y,-Z,1/2-X
 1/2-Y,-Z,1/2+X
 1/2-X,-Y,1/2-Z
 1/2+X,Y,1/2-Z
 1/2+X,-Y,1/2+Z
 1/2-X,Y,1/2+Z
 1/2-Z,-X,1/2-Y
 1/2-Z,X,1/2+Y
 1/2+Z,X,1/2-Y
 1/2+Z,-X,1/2+Y
 1/2-Y,-Z,1/2-X
 1/2+Y,-Z,1/2+X
 1/2-Y,Z,1/2+X
 1/2+Y,Z,1/2-X
 1/2+X,1/2+Y,Z 
 1/2-X,1/2-Y,Z 
 1/2-X,1/2+Y,-Z 
 1/2+X,1/2-Y,-Z 
 1/2+Z,1/2+X,Y
 1/2+Z,1/2-X,-Y
 1/2-Z,1/2-X,Y
 1/2-Z,1/2+X,-Y
 1/2+Y,1/2+Z,X
 1/2-Y,1/2+Z,-X
 1/2+Y,1/2-Z,-X
 1/2-Y,1/2-Z,X
 1/2-X,1/2-Y,-Z
 1/2+X,1/2+Y,-Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
 1/2-Z,1/2-X,-Y
 1/2-Z,1/2+X,Y
 1/2+Z,1/2+X,-Y
 1/2+Z,1/2-X,Y
 1/2-Y,1/2-Z,-X
 1/2+Y,1/2-Z,X
 1/2-Y,1/2+Z,X
 1/2+Y,1/2+Z,-X
203 96 24 Fd-3 PGm3bar CUBIC 'F 2/d -3' 'F d -3'
 X,Y,Z
 -X,-Y,Z
 -X,Y,-Z
 X,-Y,-Z
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 1/4-X,1/4-Y,1/4-Z
 1/4+X,1/4+Y,1/4-Z
 1/4+X,1/4-Y,1/4+Z
 1/4-X,1/4+Y,1/4+Z
 1/4-Z,1/4-X,1/4-Y
 1/4-Z,1/4+X,1/4+Y
 1/4+Z,1/4+X,1/4-Y
 1/4+Z,1/4-X,1/4+Y
 1/4-Y,1/4-Z,1/4-X 
 1/4+Y,1/4-Z,1/4+X
 1/4-Y,1/4+Z,1/4+X
 1/4+Y,1/4+Z,1/4-X
 X,1/2+Y,1/2+Z
 -X,1/2-Y,1/2+Z
 -X,1/2+Y,1/2-Z
 X,1/2-Y,1/2-Z
 Z,1/2+X,1/2+Y
 Z,1/2-X,1/2-Y
 -Z,1/2-X,1/2+Y
 -Z,1/2+X,1/2-Y
 Y,1/2+Z,1/2+X
 -Y,1/2+Z,1/2-X
 Y,1/2-Z,1/2-X
 -Y,1/2-Z,1/2+X
 1/4-X,3/4-Y,3/4-Z
 1/4+X,3/4+Y,3/4-Z
 1/4+X,3/4-Y,3/4+Z
 1/4-X,3/4+Y,3/4+Z
 1/4-Z,3/4-X,3/4-Y
 1/4-Z,3/4+X,3/4+Y
 1/4+Z,3/4+X,3/4-Y
 1/4+Z,3/4-X,3/4+Y
 1/4-Y,3/4-Z,3/4-X 
 1/4+Y,3/4-Z,3/4+X
 1/4-Y,3/4+Z,3/4+X
 1/4+Y,3/4+Z,3/4-X
 1/2+X,Y,1/2+Z
 1/2-X,-Y,1/2+Z
 1/2-X,Y,1/2-Z
 1/2+X,-Y,1/2-Z
 1/2+Z,X,1/2+Y
 1/2+Z,-X,1/2-Y
 1/2-Z,-X,1/2+Y
 1/2-Z,X,1/2-Y
 1/2+Y,Z,1/2+X
 1/2-Y,Z,1/2-X
 1/2+Y,-Z,1/2-X
 1/2-Y,-Z,1/2+X
 3/4-X,1/4-Y,3/4-Z
 3/4+X,1/4+Y,3/4-Z
 3/4+X,1/4-Y,3/4+Z
 3/4-X,1/4+Y,3/4+Z
 3/4-Z,1/4-X,3/4-Y
 3/4-Z,1/4+X,3/4+Y
 3/4+Z,1/4+X,3/4-Y
 3/4+Z,1/4-X,3/4+Y
 3/4-Y,1/4-Z,3/4-X 
 3/4+Y,1/4-Z,3/4+X
 3/4-Y,1/4+Z,3/4+X
 3/4+Y,1/4+Z,3/4-X
 1/2+X,1/2+Y,Z
 1/2-X,1/2-Y,Z
 1/2-X,1/2+Y,-Z
 1/2+X,1/2-Y,-Z
 1/2+Z,1/2+X,Y
 1/2+Z,1/2-X,-Y
 1/2-Z,1/2-X,Y
 1/2-Z,1/2+X,-Y
 1/2+Y,1/2+Z,X
 1/2-Y,1/2+Z,-X
 1/2+Y,1/2-Z,-X
 1/2-Y,1/2-Z,X
 3/4-X,3/4-Y,1/4-Z
 3/4+X,3/4+Y,1/4-Z
 3/4+X,3/4-Y,Z+1/4
 3/4-X,3/4+Y,Z+1/4
 3/4-Z,3/4-X,1/4-Y
 3/4-Z,3/4+X,1/4+Y
 3/4+Z,3/4+X,1/4-Y
 3/4+Z,3/4-X,1/4+Y
 3/4-Y,3/4-Z,1/4-X 
 3/4+Y,3/4-Z,1/4+X
 3/4-Y,3/4+Z,1/4+X
 3/4+Y,3/4+Z,1/4-X
204 48 24 Im-3 PGm3bar CUBIC 'I 2/m -3' 'I m -3'
 X,Y,Z 
 -X,-Y,Z 
 -X,Y,-Z 
 X,-Y,-Z 
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 -X,-Y,-Z
 X,Y,-Z
 X,-Y,Z
 -X,Y,Z
 -Z,-X,-Y
 -Z,X,Y
 Z,X,-Y
 Z,-X,Y
 -Y,-Z,-X
 Y,-Z,X
 -Y,Z,X
 Y,Z,-X
 1/2+X,1/2+Y,1/2+Z 
 1/2-X,1/2-Y,1/2+Z 
 1/2-X,1/2+Y,1/2-Z 
 1/2+X,1/2-Y,1/2-Z 
 1/2+Z,1/2+X,1/2+Y
 1/2+Z,1/2-X,1/2-Y
 1/2-Z,1/2-X,1/2+Y
 1/2-Z,1/2+X,1/2-Y
 1/2+Y,1/2+Z,1/2+X
 1/2-Y,1/2+Z,1/2-X
 1/2+Y,1/2-Z,1/2-X
 1/2-Y,1/2-Z,1/2+X
 1/2-X,1/2-Y,1/2-Z
 1/2+X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
 1/2-Z,1/2-X,1/2-Y
 1/2-Z,1/2+X,1/2+Y
 1/2+Z,1/2+X,1/2-Y
 1/2+Z,1/2-X,1/2+Y
 1/2-Y,1/2-Z,1/2-X
 1/2+Y,1/2-Z,1/2+X
 1/2-Y,1/2+Z,1/2+X
 1/2+Y,1/2+Z,1/2-X
205 24 24 Pa-3 PGm3bar CUBIC 'P 21/a -3' 'P a -3'
 X,Y,Z 
 1/2-X,-Y,1/2+Z 
 -X,1/2+Y,1/2-Z 
 1/2+X,1/2-Y,-Z 
 Z,X,Y
 1/2+Z,1/2-X,-Y
 1/2-Z,-X,1/2+Y
 -Z,1/2+X,1/2-Y
 Y,Z,X
 -Y,1/2+Z,1/2-X
 1/2+Y,1/2-Z,-X
 1/2-Y,-Z,1/2+X
 -X,-Y,-Z
 1/2+X,Y,1/2-Z
 X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,Z
 -Z,-X,-Y
 1/2-Z,1/2+X,Y
 1/2+Z,X,1/2-Y
 Z,1/2-X,1/2+Y
 -Y,-Z,-X
 Y,1/2-Z,1/2+X
 1/2-Y,1/2+Z,X
 1/2+Y,Z,1/2-X
206 48 24 Ia-3 PGm3bar CUBIC 'I 21/a -3' 'I a -3'
 X,Y,Z 
 1/2-X,-Y,1/2+Z 
 -X,1/2+Y,1/2-Z 
 1/2+X,1/2-Y,-Z 
 Z,X,Y
 1/2+Z,1/2-X,-Y
 1/2-Z,-X,1/2+Y
 -Z,1/2+X,1/2-Y
 Y,Z,X
 -Y,1/2+Z,1/2-X
 1/2+Y,1/2-Z,-X
 1/2-Y,-Z,1/2+X
 -X,-Y,-Z
 1/2+X,Y,1/2-Z
 X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,Z
 -Z,-X,-Y
 1/2-Z,1/2+X,Y
 1/2+Z,X,1/2-Y
 Z,1/2-X,1/2+Y
 -Y,-Z,-X
 Y,1/2-Z,1/2+X
 1/2-Y,1/2+Z,X
 1/2+Y,Z,1/2-X
 1/2+X,1/2+Y,1/2+Z 
 -X,1/2-Y,Z 
 1/2-X,+Y,-Z 
 X,-Y,1/2-Z 
 1/2+Z,1/2+X,1/2+Y
 Z,-X,1/2-Y
 -Z,1/2-X,Y
 1/2-Z,X,-Y
 1/2+Y,1/2+Z,1/2+X
 1/2-Y,Z,-X
 Y,-Z,1/2-X
 -Y,1/2-Z,X
 1/2-X,1/2-Y,1/2-Z
 X,1/2+Y,-Z
 1/2+X,-Y,Z
 -X,Y,1/2+Z
 1/2-Z,1/2-X,1/2-Y
 -Z,X,1/2+Y
 Z,1/2+X,-Y
 1/2+Z,-X,Y
 1/2-Y,1/2-Z,1/2-X
 1/2+Y,-Z,X
 -Y,Z,1/2+X
 Y,1/2+Z,-X
207 24 24 P432 PG432 CUBIC 'P 4 3 2'
 X,Y,Z 
 -X,-Y,Z 
 -X,Y,-Z 
 X,-Y,-Z 
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 Y,X,-Z
 -Y,-X,-Z
 Y,-X,Z
 -Y,X,Z
 X,Z,-Y
 -X,Z,Y
 -X,-Z,-Y
 X,-Z,Y
 Z,Y,-X
 Z,-Y,X
 -Z,Y,X
 -Z,-Y,-X
208 24 24 P4232 PG432 CUBIC 'P 42 3 2'
 X,Y,Z 
 -X,-Y,Z 
 -X,Y,-Z 
 X,-Y,-Z 
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 1/2+Y,1/2+X,1/2-Z
 1/2-Y,1/2-X,1/2-Z
 1/2+Y,1/2-X,1/2+Z
 1/2-Y,1/2+X,1/2+Z
 1/2+X,1/2+Z,1/2-Y
 1/2-X,1/2+Z,1/2+Y
 1/2-X,1/2-Z,1/2-Y
 1/2+X,1/2-Z,1/2+Y
 1/2+Z,1/2+Y,1/2-X
 1/2+Z,1/2-Y,1/2+X
 1/2-Z,1/2+Y,1/2+X
 1/2-Z,1/2-Y,1/2-X
209 96 24 F432 PG432 CUBIC 'F 4 3 2'
 X,Y,Z 
 -X,-Y,Z 
 -X,Y,-Z 
 X,-Y,-Z 
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 Y,X,-Z
 -Y,-X,-Z
 Y,-X,Z
 -Y,X,Z
 X,Z,-Y
 -X,Z,Y
 -X,-Z,-Y
 X,-Z,Y
 Z,Y,-X
 Z,-Y,X
 -Z,Y,X
 -Z,-Y,-X
 X,1/2+Y,1/2+Z 
 -X,1/2-Y,1/2+Z 
 -X,1/2+Y,1/2-Z 
 X,1/2-Y,1/2-Z 
 Z,1/2+X,1/2+Y
 Z,1/2-X,1/2-Y
 -Z,1/2-X,1/2+Y
 -Z,1/2+X,1/2-Y
 Y,1/2+Z,1/2+X
 -Y,1/2+Z,1/2-X
 Y,1/2-Z,1/2-X
 -Y,1/2-Z,1/2+X
 Y,1/2+X,1/2-Z
 -Y,1/2-X,1/2-Z
 Y,1/2-X,1/2+Z
 -Y,1/2+X,1/2+Z
 X,1/2+Z,1/2-Y
 -X,1/2+Z,1/2+Y
 -X,1/2-Z,1/2-Y
 X,1/2-Z,1/2+Y
 Z,1/2+Y,1/2-X
 Z,1/2-Y,1/2+X
 -Z,1/2+Y,1/2+X
 -Z,1/2-Y,1/2-X
 1/2+X,Y,1/2+Z 
 1/2-X,-Y,1/2+Z 
 1/2-X,Y,1/2-Z 
 1/2+X,-Y,1/2-Z 
 1/2+Z,X,1/2+Y
 1/2+Z,-X,1/2-Y
 1/2-Z,-X,1/2+Y
 1/2-Z,X,1/2-Y
 1/2+Y,Z,1/2+X
 1/2-Y,Z,1/2-X
 1/2+Y,-Z,1/2-X
 1/2-Y,-Z,1/2+X
 1/2+Y,X,1/2-Z
 1/2-Y,-X,1/2-Z
 1/2+Y,-X,1/2+Z
 1/2-Y,X,1/2+Z
 1/2+X,Z,1/2-Y
 1/2-X,Z,1/2+Y
 1/2-X,-Z,1/2-Y
 1/2+X,-Z,1/2+Y
 1/2+Z,Y,1/2-X
 1/2+Z,-Y,1/2+X
 1/2-Z,Y,1/2+X
 1/2-Z,-Y,1/2-X
 1/2+X,1/2+Y,Z 
 1/2-X,1/2-Y,Z 
 1/2-X,1/2+Y,-Z 
 1/2+X,1/2-Y,-Z 
 1/2+Z,1/2+X,Y
 1/2+Z,1/2-X,-Y
 1/2-Z,1/2-X,Y
 1/2-Z,1/2+X,-Y
 1/2+Y,1/2+Z,X
 1/2-Y,1/2+Z,-X
 1/2+Y,1/2-Z,-X
 1/2-Y,1/2-Z,X
 1/2+Y,1/2+X,-Z
 1/2-Y,1/2-X,-Z
 1/2+Y,1/2-X,Z
 1/2-Y,1/2+X,Z
 1/2+X,1/2+Z,-Y
 1/2-X,1/2+Z,Y
 1/2-X,1/2-Z,-Y
 1/2+X,1/2-Z,Y
 1/2+Z,1/2+Y,-X
 1/2+Z,1/2-Y,X
 1/2-Z,1/2+Y,X
 1/2-Z,1/2-Y,-X
210 96 24 F4132 PG432 CUBIC 'F 41 3 2'
 X,Y,Z 
 -X,1/2-Y,1/2+Z 
 1/2-X,1/2+Y,-Z 
 1/2+X,-Y,1/2-Z 
 Z,X,Y
 1/2+Z,-X,1/2-Y
 -Z,1/2-X,1/2+Y
 1/2-Z,1/2+X,-Y
 Y,Z,X
 1/2-Y,1/2+Z,-X
 1/2+Y,-Z,1/2-X
 -Y,1/2-Z,1/2+X
 3/4+Y,1/4+X,3/4-Z
 1/4-Y,1/4-X,1/4-Z
 1/4+Y,3/4-X,3/4+Z
 3/4-Y,3/4+X,1/4+Z
 3/4+X,1/4+Z,3/4-Y
 3/4-X,3/4+Z,1/4+Y
 1/4-X,1/4-Z,1/4-Y
 1/4+X,3/4-Z,3/4+Y
 3/4+Z,1/4+Y,3/4-X
 1/4+Z,3/4-Y,3/4+X
 3/4-Z,3/4+Y,1/4+X
 1/4-Z,1/4-Y,1/4-X
 X,1/2+Y,1/2+Z 
 -X,-Y,Z 
 1/2-X,Y,1/2-Z 
 1/2+X,1/2-Y,-Z 
 Z,1/2+X,1/2+Y
 1/2+Z,1/2-X,-Y
 -Z,-X,Y
 1/2-Z,X,1/2-Y
 Y,1/2+Z,1/2+X
 1/2-Y,Z,1/2-X
 1/2+Y,1/2-Z,-X
 -Y,-Z,X
 3/4+Y,3/4+X,1/4-Z
 1/4-Y,3/4-X,3/4-Z
 1/4+Y,1/4-X,1/4+Z
 3/4-Y,1/4+X,3/4+Z
 3/4+X,3/4+Z,1/4-Y
 3/4-X,1/4+Z,3/4+Y
 1/4-X,3/4-Z,3/4-Y
 1/4+X,1/4-Z,1/4+Y
 3/4+Z,3/4+Y,1/4-X
 1/4+Z,1/4-Y,1/4+X
 3/4-Z,1/4+Y,3/4+X
 1/4-Z,3/4-Y,3/4-X
 1/2+X,Y,1/2+Z 
 1/2-X,1/2-Y,Z 
 -X,1/2+Y,1/2-Z 
 X,-Y,-Z 
 1/2+Z,X,1/2+Y
 Z,-X,-Y
 1/2-Z,1/2-X,Y
 -Z,1/2+X,1/2-Y
 1/2+Y,Z,1/2+X
 -Y,1/2+Z,1/2-X
 Y,-Z,-X
 1/2-Y,1/2-Z,X
 1/4+Y,1/4+X,1/4-Z
 3/4-Y,1/4-X,3/4-Z
 3/4+Y,3/4-X,1/4+Z
 1/4-Y,3/4+X,3/4+Z
 1/4+X,1/4+Z,1/4-Y
 1/4-X,3/4+Z,3/4+Y
 3/4-X,1/4-Z,3/4-Y
 3/4+X,3/4-Z,1/4+Y
 1/4+Z,1/4+Y,1/4-X
 3/4+Z,3/4-Y,1/4+X
 1/4-Z,3/4+Y,3/4+X
 3/4-Z,1/4-Y,3/4-X
 1/2+X,1/2+Y,Z 
 1/2-X,-Y,1/2+Z 
 -X,Y,-Z 
 X,1/2-Y,1/2-Z 
 1/2+Z,1/2+X,Y
 Z,1/2-X,1/2-Y
 1/2-Z,-X,1/2+Y
 -Z,X,-Y
 1/2+Y,1/2+Z,X
 -Y,Z,-X
 Y,1/2-Z,1/2-X
 1/2-Y,-Z,1/2+X
 1/4+Y,3/4+X,3/4-Z
 3/4-Y,3/4-X,1/4-Z
 3/4+Y,1/4-X,3/4+Z
 1/4-Y,1/4+X,1/4+Z
 1/4+X,3/4+Z,3/4-Y
 1/4-X,1/4+Z,1/4+Y
 3/4-X,3/4-Z,1/4-Y
 3/4+X,1/4-Z,3/4+Y
 1/4+Z,3/4+Y,3/4-X
 3/4+Z,1/4-Y,3/4+X
 1/4-Z,1/4+Y,1/4+X
 3/4-Z,3/4-Y,1/4-X
211 48 24 I432 PG432 CUBIC 'I 4 3 2'
 X,Y,Z 
 -X,-Y,Z 
 -X,Y,-Z 
 X,-Y,-Z 
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 Y,X,-Z
 -Y,-X,-Z
 Y,-X,Z
 -Y,X,Z
 X,Z,-Y
 -X,Z,Y
 -X,-Z,-Y
 X,-Z,Y
 Z,Y,-X
 Z,-Y,X
 -Z,Y,X
 -Z,-Y,-X
 1/2+X,1/2+Y,1/2+Z 
 1/2-X,1/2-Y,1/2+Z 
 1/2-X,1/2+Y,1/2-Z 
 1/2+X,1/2-Y,1/2-Z 
 1/2+Z,1/2+X,1/2+Y
 1/2+Z,1/2-X,1/2-Y
 1/2-Z,1/2-X,1/2+Y
 1/2-Z,1/2+X,1/2-Y
 1/2+Y,1/2+Z,1/2+X
 1/2-Y,1/2+Z,1/2-X
 1/2+Y,1/2-Z,1/2-X
 1/2-Y,1/2-Z,1/2+X
 1/2+Y,1/2+X,1/2-Z
 1/2-Y,1/2-X,1/2-Z
 1/2+Y,1/2-X,1/2+Z
 1/2-Y,1/2+X,1/2+Z
 1/2+X,1/2+Z,1/2-Y
 1/2-X,1/2+Z,1/2+Y
 1/2-X,1/2-Z,1/2-Y
 1/2+X,1/2-Z,1/2+Y
 1/2+Z,1/2+Y,1/2-X
 1/2+Z,1/2-Y,1/2+X
 1/2-Z,1/2+Y,1/2+X
 1/2-Z,1/2-Y,1/2-X
212 24 24 P4332 PG432 CUBIC 'P 43 3 2'
 X,Y,Z 
 1/2-X,-Y,1/2+Z 
 -X,1/2+Y,1/2-Z 
 1/2+X,1/2-Y,-Z 
 Z,X,Y
 1/2+Z,1/2-X,-Y
 1/2-Z,-X,1/2+Y
 -Z,1/2+X,1/2-Y
 Y,Z,X
 -Y,1/2+Z,1/2-X
 1/2+Y,1/2-Z,-X
 1/2-Y,-Z,1/2+X
 1/4+Y,3/4+X,3/4-Z
 1/4-Y,1/4-X,1/4-Z
 3/4+Y,3/4-X,1/4+Z
 3/4-Y,1/4+X,3/4+Z
 1/4+X,3/4+Z,3/4-Y
 3/4-X,1/4+Z,3/4+Y
 1/4-X,1/4-Z,1/4-Y
 3/4+X,3/4-Z,1/4+Y
 1/4+Z,3/4+Y,3/4-X
 3/4+Z,3/4-Y,1/4+X
 3/4-Z,1/4+Y,3/4+X
 1/4-Z,1/4-Y,1/4-X
213 24 24 P4132 PG432 CUBIC 'P 41 3 2'
 X,Y,Z 
 1/2-X,-Y,1/2+Z 
 -X,1/2+Y,1/2-Z 
 1/2+X,1/2-Y,-Z 
 Z,X,Y
 1/2+Z,1/2-X,-Y
 1/2-Z,-X,1/2+Y
 -Z,1/2+X,1/2-Y
 Y,Z,X
 -Y,1/2+Z,1/2-X
 1/2+Y,1/2-Z,-X
 1/2-Y,-Z,1/2+X
 3/4+Y,1/4+X,1/4-Z
 3/4-Y,3/4-X,3/4-Z
 1/4+Y,1/4-X,3/4+Z
 1/4-Y,3/4+X,1/4+Z
 3/4+X,1/4+Z,1/4-Y
 1/4-X,3/4+Z,1/4+Y
 3/4-X,3/4-Z,3/4-Y
 1/4+X,1/4-Z,3/4+Y
 3/4+Z,1/4+Y,1/4-X
 1/4+Z,1/4-Y,3/4+X
 1/4-Z,3/4+Y,1/4+X
 3/4-Z,3/4-Y,3/4-X
214 48 24 I4132 PG432 CUBIC 'I 41 3 2'
 X,Y,Z 
 1/2-X,-Y,1/2+Z 
 -X,1/2+Y,1/2-Z 
 1/2+X,1/2-Y,-Z 
 Z,X,Y
 1/2+Z,1/2-X,-Y
 1/2-Z,-X,1/2+Y
 -Z,1/2+X,1/2-Y
 Y,Z,X
 -Y,1/2+Z,1/2-X
 1/2+Y,1/2-Z,-X
 1/2-Y,-Z,1/2+X
 3/4+Y,1/4+X,1/4-Z
 3/4-Y,3/4-X,3/4-Z
 1/4+Y,1/4-X,3/4+Z
 1/4-Y,3/4+X,1/4+Z
 3/4+X,1/4+Z,1/4-Y
 1/4-X,3/4+Z,1/4+Y
 3/4-X,3/4-Z,3/4-Y
 1/4+X,1/4-Z,3/4+Y
 3/4+Z,1/4+Y,1/4-X
 1/4+Z,1/4-Y,3/4+X
 1/4-Z,3/4+Y,1/4+X
 3/4-Z,3/4-Y,3/4-X
 1/2+X,1/2+Y,1/2+Z 
 -X,1/2-Y,Z 
 1/2-X,Y,-Z 
 X,-Y,1/2-Z 
 1/2+Z,1/2+X,1/2+Y
 Z,-X,1/2-Y
 -Z,1/2-X,Y
 1/2-Z,X,-Y
 1/2+Y,1/2+Z,1/2+X
 1/2-Y,Z,-X
 Y,-Z,1/2-X
 -Y,1/2-Z,X
 1/4+Y,3/4+X,3/4-Z
 1/4-Y,1/4-X,1/4-Z
 3/4+Y,3/4-X,1/4+Z
 3/4-Y,1/4+X,3/4+Z
 1/4+X,3/4+Z,3/4-Y
 3/4-X,1/4+Z,3/4+Y
 1/4-X,1/4-Z,1/4-Y
 3/4+X,3/4-Z,1/4+Y
 1/4+Z,3/4+Y,3/4-X
 3/4+Z,3/4-Y,1/4+X
 3/4-Z,1/4+Y,3/4+X
 1/4-Z,1/4-Y,1/4-X
215 24 24 P-43m PG4bar3m CUBIC 'P -4 3 m'
 X,Y,Z 
 -X,-Y,Z 
 -X,Y,-Z 
 X,-Y,-Z 
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 Y,X,Z
 -Y,-X,Z
 Y,-X,-Z
 -Y,X,-Z
 X,Z,Y
 -X,Z,-Y
 -X,-Z,Y
 X,-Z,-Y
 Z,Y,X
 Z,-Y,-X
 -Z,Y,-X
 -Z,-Y,X
216 96 24 F-43m PG4bar3m CUBIC 'F -4 3 m'
 X,Y,Z 
 -X,-Y,Z 
 -X,Y,-Z 
 X,-Y,-Z 
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 Y,X,Z
 -Y,-X,Z
 Y,-X,-Z
 -Y,X,-Z
 X,Z,Y
 -X,Z,-Y
 -X,-Z,Y
 X,-Z,-Y
 Z,Y,X
 Z,-Y,-X
 -Z,Y,-X
 -Z,-Y,X
 X,1/2+Y,1/2+Z 
 -X,1/2-Y,1/2+Z 
 -X,1/2+Y,1/2-Z 
 X,1/2-Y,1/2-Z 
 Z,1/2+X,1/2+Y
 Z,1/2-X,1/2-Y
 -Z,1/2-X,1/2+Y
 -Z,1/2+X,1/2-Y
 Y,1/2+Z,1/2+X
 -Y,1/2+Z,1/2-X
 Y,1/2-Z,1/2-X
 -Y,1/2-Z,1/2+X
 Y,1/2+X,1/2+Z
 -Y,1/2-X,1/2+Z
 Y,1/2-X,1/2-Z
 -Y,1/2+X,1/2-Z
 X,1/2+Z,1/2+Y
 -X,1/2+Z,1/2-Y
 -X,1/2-Z,1/2+Y
 X,1/2-Z,1/2-Y
 Z,1/2+Y,1/2+X
 Z,1/2-Y,1/2-X
 -Z,1/2+Y,1/2-X
 -Z,1/2-Y,1/2+X
 1/2+X,Y,1/2+Z 
 1/2-X,-Y,1/2+Z 
 1/2-X,Y,1/2-Z 
 1/2+X,-Y,1/2-Z 
 1/2+Z,X,1/2+Y
 1/2+Z,-X,1/2-Y
 1/2-Z,-X,1/2+Y
 1/2-Z,X,1/2-Y
 1/2+Y,Z,1/2+X
 1/2-Y,Z,1/2-X
 1/2+Y,-Z,1/2-X
 1/2-Y,-Z,1/2+X
 1/2+Y,X,1/2+Z
 1/2-Y,-X,1/2+Z
 1/2+Y,-X,1/2-Z
 1/2-Y,X,1/2-Z
 1/2+X,Z,1/2+Y
 1/2-X,Z,1/2-Y
 1/2-X,-Z,1/2+Y
 1/2+X,-Z,1/2-Y
 1/2+Z,Y,1/2+X
 1/2+Z,-Y,1/2-X
 1/2-Z,Y,1/2-X
 1/2-Z,-Y,1/2+X
 1/2+X,1/2+Y,Z 
 1/2-X,1/2-Y,Z 
 1/2-X,1/2+Y,-Z 
 1/2+X,1/2-Y,-Z 
 1/2+Z,1/2+X,Y
 1/2+Z,1/2-X,-Y
 1/2-Z,1/2-X,Y
 1/2-Z,1/2+X,-Y
 1/2+Y,1/2+Z,X
 1/2-Y,1/2+Z,-X
 1/2+Y,1/2-Z,-X
 1/2-Y,1/2-Z,X
 1/2+Y,1/2+X,Z
 1/2-Y,1/2-X,Z
 1/2+Y,1/2-X,-Z
 1/2-Y,1/2+X,-Z
 1/2+X,1/2+Z,Y
 1/2-X,1/2+Z,-Y
 1/2-X,1/2-Z,Y
 1/2+X,1/2-Z,-Y
 1/2+Z,1/2+Y,X
 1/2+Z,1/2-Y,-X
 1/2-Z,1/2+Y,-X
 1/2-Z,1/2-Y,X
217 48 24 I-43m PG4bar3m CUBIC 'I -4 3 m'
 X,Y,Z 
 -X,-Y,Z 
 -X,Y,-Z 
 X,-Y,-Z 
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 Y,X,Z
 -Y,-X,Z
 Y,-X,-Z
 -Y,X,-Z
 X,Z,Y
 -X,Z,-Y
 -X,-Z,Y
 X,-Z,-Y
 Z,Y,X
 Z,-Y,-X
 -Z,Y,-X
 -Z,-Y,X
 1/2+X,1/2+Y,1/2+Z 
 1/2-X,1/2-Y,1/2+Z 
 1/2-X,1/2+Y,1/2-Z 
 1/2+X,1/2-Y,1/2-Z 
 1/2+Z,1/2+X,1/2+Y
 1/2+Z,1/2-X,1/2-Y
 1/2-Z,1/2-X,1/2+Y
 1/2-Z,1/2+X,1/2-Y
 1/2+Y,1/2+Z,1/2+X
 1/2-Y,1/2+Z,1/2-X
 1/2+Y,1/2-Z,1/2-X
 1/2-Y,1/2-Z,1/2+X
 1/2+Y,1/2+X,1/2+Z
 1/2-Y,1/2-X,1/2+Z
 1/2+Y,1/2-X,1/2-Z
 1/2-Y,1/2+X,1/2-Z
 1/2+X,1/2+Z,1/2+Y
 1/2-X,1/2+Z,1/2-Y
 1/2-X,1/2-Z,1/2+Y
 1/2+X,1/2-Z,1/2-Y
 1/2+Z,1/2+Y,1/2+X
 1/2+Z,1/2-Y,1/2-X
 1/2-Z,1/2+Y,1/2-X
 1/2-Z,1/2-Y,1/2+X
218 24 24 P-43n PG4bar3m CUBIC 'P -4 3 n'
 X,Y,Z 
 -X,-Y,Z 
 -X,Y,-Z 
 X,-Y,-Z 
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 1/2+Y,1/2+X,1/2+Z
 1/2-Y,1/2-X,1/2+Z
 1/2+Y,1/2-X,1/2-Z
 1/2-Y,1/2+X,1/2-Z
 1/2+X,1/2+Z,1/2+Y
 1/2-X,1/2+Z,1/2-Y
 1/2-X,1/2-Z,1/2+Y
 1/2+X,1/2-Z,1/2-Y
 1/2+Z,1/2+Y,1/2+X
 1/2+Z,1/2-Y,1/2-X
 1/2-Z,1/2+Y,1/2-X
 1/2-Z,1/2-Y,1/2+X
219 96 24 F-43c PG4bar3m CUBIC 'F -4 3 c'
 X,Y,Z 
 -X,-Y,Z 
 -X,Y,-Z 
 X,-Y,-Z 
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 1/2+Y,1/2+X,1/2+Z
 1/2-Y,1/2-X,1/2+Z
 1/2+Y,1/2-X,1/2-Z
 1/2-Y,1/2+X,1/2-Z
 1/2+X,1/2+Z,1/2+Y
 1/2-X,1/2+Z,1/2-Y
 1/2-X,1/2-Z,1/2+Y
 1/2+X,1/2-Z,1/2-Y
 1/2+Z,1/2+Y,1/2+X
 1/2+Z,1/2-Y,1/2-X
 1/2-Z,1/2+Y,1/2-X
 1/2-Z,1/2-Y,1/2+X
 X,1/2+Y,1/2+Z 
 -X,1/2-Y,1/2+Z 
 -X,1/2+Y,1/2-Z 
 X,1/2-Y,1/2-Z 
 Z,1/2+X,1/2+Y
 Z,1/2-X,1/2-Y
 -Z,1/2-X,1/2+Y
 -Z,1/2+X,1/2-Y
 Y,1/2+Z,1/2+X
 -Y,1/2+Z,1/2-X
 Y,1/2-Z,1/2-X
 -Y,1/2-Z,1/2+X
 1/2+Y,X,Z
 1/2-Y,-X,Z
 1/2+Y,-X,-Z
 1/2-Y,X,-Z
 1/2+X,Z,Y
 1/2-X,Z,-Y
 1/2-X,-Z,Y
 1/2+X,-Z,-Y
 1/2+Z,Y,X
 1/2+Z,-Y,-X
 1/2-Z,Y,-X
 1/2-Z,-Y,X
 1/2+X,Y,1/2+Z 
 1/2-X,-Y,1/2+Z 
 1/2-X,Y,1/2-Z 
 1/2+X,-Y,1/2-Z 
 1/2+Z,X,1/2+Y
 1/2+Z,-X,1/2-Y
 1/2-Z,-X,1/2+Y
 1/2-Z,X,1/2-Y
 1/2+Y,Z,1/2+X
 1/2-Y,Z,1/2-X
 1/2+Y,-Z,1/2-X
 1/2-Y,-Z,1/2+X
 Y,1/2+X,Z
 -Y,1/2-X,Z
 Y,1/2-X,-Z
 -Y,1/2+X,-Z
 X,1/2+Z,Y
 -X,1/2+Z,-Y
 -X,1/2-Z,Y
 X,1/2-Z,-Y
 Z,1/2+Y,X
 Z,1/2-Y,-X
 -Z,1/2+Y,-X
 -Z,1/2-Y,X
 1/2+X,1/2+Y,Z 
 1/2-X,1/2-Y,Z 
 1/2-X,1/2+Y,-Z 
 1/2+X,1/2-Y,-Z 
 1/2+Z,1/2+X,Y
 1/2+Z,1/2-X,-Y
 1/2-Z,1/2-X,Y
 1/2-Z,1/2+X,-Y
 1/2+Y,1/2+Z,X
 1/2-Y,1/2+Z,-X
 1/2+Y,1/2-Z,-X
 1/2-Y,1/2-Z,X
 Y,X,1/2+Z
 -Y,-X,1/2+Z
 Y,-X,1/2-Z
 -Y,X,1/2-Z
 X,Z,1/2+Y
 -X,Z,1/2-Y
 -X,-Z,1/2+Y
 X,-Z,1/2-Y
 Z,Y,1/2+X
 Z,-Y,1/2-X
 -Z,Y,1/2-X
 -Z,-Y,1/2+X
220 48 24 I-43d PG4bar3m CUBIC 'I -4 3 d'
 X,Y,Z
 1/2-X,-Y,1/2+Z
 -X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,-Z
 Z,X,Y
 1/2+Z,1/2-X,-Y
 1/2-Z,-X,1/2+Y
 -Z,1/2+X,1/2-Y
 Y,Z,X
 -Y,1/2+Z,1/2-X
 1/2+Y,1/2-Z,-X
 1/2-Y,-Z,1/2+X
 1/4+Y,1/4+X,1/4+Z
 1/4-Y,3/4-X,3/4+Z
 3/4+Y,1/4-X,3/4-Z
 3/4-Y,3/4+X,1/4-Z
 1/4+X,1/4+Z,1/4+Y
 3/4-X,3/4+Z,1/4-Y
 1/4-X,3/4-Z,3/4+Y
 3/4+X,1/4-Z,3/4-Y
 1/4+Z,1/4+Y,1/4+X
 3/4+Z,1/4-Y,3/4-X
 3/4-Z,3/4+Y,1/4-X
 1/4-Z,3/4-Y,3/4+X
 1/2+X,1/2+Y,1/2+Z
 -X,1/2-Y,Z
 1/2-X,Y,-Z
 X,-Y,1/2-Z
 1/2+Z,1/2+X,1/2+Y
 Z,-X,1/2-Y
 -Z,1/2-X,Y
 1/2-Z,X,-Y
 1/2+Y,1/2+Z,1/2+X
 1/2-Y,Z,-X
 Y,-Z,1/2-X
 -Y,1/2-Z,X
 3/4+Y,3/4+X,3/4+Z
 3/4-Y,1/4-X,1/4+Z
 1/4+Y,3/4-X,1/4-Z
 1/4-Y,1/4+X,3/4-Z
 3/4+X,3/4+Z,3/4+Y
 1/4-X,1/4+Z,3/4-Y
 3/4-X,1/4-Z,1/4+Y
 1/4+X,3/4-Z,1/4-Y
 3/4+Z,3/4+Y,3/4+X
 1/4+Z,3/4-Y,1/4-X
 1/4-Z,1/4+Y,3/4-X
 3/4-Z,1/4-Y,1/4+X
221 48 48 Pm-3m PGm3barm CUBIC 'P 4/m -3 2/m' 'P m -3 m'
 X,Y,Z
 -X,-Y,Z
 -X,Y,-Z
 X,-Y,-Z
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 Y,X,-Z
 -Y,-X,-Z
 Y,-X,Z
 -Y,X,Z
 X,Z,-Y
 -X,Z,Y
 -X,-Z,-Y
 X,-Z,Y
 Z,Y,-X
 Z,-Y,X
 -Z,Y,X
 -Z,-Y,-X
 -X,-Y,-Z
 X,Y,-Z
 X,-Y,Z
 -X,Y,Z
 -Z,-X,-Y
 -Z,X,Y
 Z,X,-Y
 Z,-X,Y
 -Y,-Z,-X
 Y,-Z,X
 -Y,Z,X
 Y,Z,-X
 -Y,-X,Z
 Y,X,Z
 -Y,X,-Z
 Y,-X,-Z
 -X,-Z,Y
 X,-Z,-Y
 X,Z,Y
 -X,Z,-Y
 -Z,-Y,X
 -Z,Y,-X
 Z,-Y,-X
 Z,Y,X
222 48 48 Pn-3n PGm3barm CUBIC 'P 4/n -3 2/n' P n -3 n'
 X,Y,Z
 -X,-Y,Z
 -X,Y,-Z
 X,-Y,-Z
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 Y,X,-Z
 -Y,-X,-Z
 Y,-X,Z
 -Y,X,Z
 X,Z,-Y
 -X,Z,Y
 -X,-Z,-Y
 X,-Z,Y
 Z,Y,-X
 Z,-Y,X
 -Z,Y,X
 -Z,-Y,-X
 1/2-X,1/2-Y,1/2-Z
 1/2+X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
 1/2-Z,1/2-X,1/2-Y
 1/2-Z,1/2+X,1/2+Y
 1/2+Z,1/2+X,1/2-Y
 1/2+Z,1/2-X,1/2+Y
 1/2-Y,1/2-Z,1/2-X
 1/2+Y,1/2-Z,1/2+X
 1/2-Y,1/2+Z,1/2+X
 1/2+Y,1/2+Z,1/2-X
 1/2-Y,1/2-X,1/2+Z
 1/2+Y,1/2+X,1/2+Z
 1/2-Y,1/2+X,1/2-Z
 1/2+Y,1/2-X,1/2-Z
 1/2-X,1/2-Z,1/2+Y
 1/2+X,1/2-Z,1/2-Y
 1/2+X,1/2+Z,1/2+Y
 1/2-X,1/2+Z,1/2-Y
 1/2-Z,1/2-Y,1/2+X
 1/2-Z,1/2+Y,1/2-X
 1/2+Z,1/2-Y,1/2-X
 1/2+Z,1/2+Y,1/2+X
223 48 48 Pm-3n PGm3barm CUBIC 'P 42/m -3 2/n' 'P m -3 n'
 X,Y,Z
 -X,-Y,Z
 -X,Y,-Z
 X,-Y,-Z
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 1/2+Y,1/2+X,1/2-Z
 1/2-Y,1/2-X,1/2-Z
 1/2+Y,1/2-X,1/2+Z
 1/2-Y,1/2+X,1/2+Z
 1/2+X,1/2+Z,1/2-Y
 1/2-X,1/2+Z,1/2+Y
 1/2-X,1/2-Z,1/2-Y
 1/2+X,1/2-Z,1/2+Y
 1/2+Z,1/2+Y,1/2-X
 1/2+Z,1/2-Y,1/2+X
 1/2-Z,1/2+Y,1/2+X
 1/2-Z,1/2-Y,1/2-X
 -X,-Y,-Z
 X,Y,-Z
 X,-Y,Z
 -X,Y,Z
 -Z,-X,-Y
 -Z,X,Y
 Z,X,-Y
 Z,-X,Y
 -Y,-Z,-X
 Y,-Z,X
 -Y,Z,X
 Y,Z,-X
 1/2-Y,1/2-X,1/2+Z
 1/2+Y,1/2+X,1/2+Z
 1/2-Y,1/2+X,1/2-Z
 1/2+Y,1/2-X,1/2-Z
 1/2-X,1/2-Z,1/2+Y
 1/2+X,1/2-Z,1/2-Y
 1/2+X,1/2+Z,1/2+Y
 1/2-X,1/2+Z,1/2-Y
 1/2-Z,1/2-Y,1/2+X
 1/2-Z,1/2+Y,1/2-X
 1/2+Z,1/2-Y,1/2-X
 1/2+Z,1/2+Y,1/2+X
224 48 48 Pn-3m PGm3barm CUBIC 'P 42/n -3 2/m' 'P n -3 m'
 X,Y,Z
 -X,-Y,Z
 -X,Y,-Z
 X,-Y,-Z
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 1/2+Y,1/2+X,1/2-Z
 1/2-Y,1/2-X,1/2-Z
 1/2+Y,1/2-X,1/2+Z
 1/2-Y,1/2+X,1/2+Z
 1/2+X,1/2+Z,1/2-Y
 1/2-X,1/2+Z,1/2+Y
 1/2-X,1/2-Z,1/2-Y
 1/2+X,1/2-Z,1/2+Y
 1/2+Z,1/2+Y,1/2-X
 1/2+Z,1/2-Y,1/2+X
 1/2-Z,1/2+Y,1/2+X
 1/2-Z,1/2-Y,1/2-X
 1/2-X,1/2-Y,1/2-Z
 1/2+X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
 1/2-Z,1/2-X,1/2-Y
 1/2-Z,1/2+X,1/2+Y
 1/2+Z,1/2+X,1/2-Y
 1/2+Z,1/2-X,1/2+Y
 1/2-Y,1/2-Z,1/2-X
 1/2+Y,1/2-Z,1/2+X
 1/2-Y,1/2+Z,1/2+X
 1/2+Y,1/2+Z,1/2-X
 -Y,-X,Z
 Y,X,Z
 -Y,X,-Z
 Y,-X,-Z
 -X,-Z,Y
 X,-Z,-Y
 X,Z,Y
 -X,Z,-Y
 -Z,-Y,X
 -Z,Y,-X
 Z,-Y,-X
 Z,Y,X
225 192 48 Fm-3m PGm3barm CUBIC 'F 4/m -3 2/m' 'F m -3 m'
 X,Y,Z
 -X,-Y,Z
 -X,Y,-Z
 X,-Y,-Z
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 Y,X,-Z
 -Y,-X,-Z
 Y,-X,Z
 -Y,X,Z
 X,Z,-Y
 -X,Z,Y
 -X,-Z,-Y
 X,-Z,Y
 Z,Y,-X
 Z,-Y,X
 -Z,Y,X
 -Z,-Y,-X
 -X,-Y,-Z
 X,Y,-Z
 X,-Y,Z
 -X,Y,Z
 -Z,-X,-Y
 -Z,X,Y
 Z,X,-Y
 Z,-X,Y
 -Y,-Z,-X
 Y,-Z,X
 -Y,Z,X
 Y,Z,-X
 -Y,-X,Z
 Y,X,Z
 -Y,X,-Z
 Y,-X,-Z
 -X,-Z,Y
 X,-Z,-Y
 X,Z,Y
 -X,Z,-Y
 -Z,-Y,X
 -Z,Y,-X
 Z,-Y,-X
 Z,Y,X
 X,1/2+Y,1/2+Z
 -X,1/2-Y,1/2+Z
 -X,1/2+Y,1/2-Z
 X,1/2-Y,1/2-Z
 Z,1/2+X,1/2+Y
 Z,1/2-X,1/2-Y
 -Z,1/2-X,1/2+Y
 -Z,1/2+X,1/2-Y
 Y,1/2+Z,1/2+X
 -Y,1/2+Z,1/2-X
 Y,1/2-Z,1/2-X
 -Y,1/2-Z,1/2+X
 Y,1/2+X,1/2-Z
 -Y,1/2-X,1/2-Z
 Y,1/2-X,1/2+Z
 -Y,1/2+X,1/2+Z
 X,1/2+Z,1/2-Y
 -X,1/2+Z,1/2+Y
 -X,1/2-Z,1/2-Y
 X,1/2-Z,1/2+Y
 Z,1/2+Y,1/2-X
 Z,1/2-Y,1/2+X
 -Z,1/2+Y,1/2+X
 -Z,1/2-Y,1/2-X
 -X,1/2-Y,1/2-Z
 X,1/2+Y,1/2-Z
 X,1/2-Y,1/2+Z
 -X,1/2+Y,1/2+Z
 -Z,1/2-X,1/2-Y
 -Z,1/2+X,1/2+Y
 Z,1/2+X,1/2-Y
 Z,1/2-X,1/2+Y
 -Y,1/2-Z,1/2-X
 Y,1/2-Z,1/2+X
 -Y,1/2+Z,1/2+X
 Y,1/2+Z,1/2-X
 -Y,1/2-X,1/2+Z
 Y,1/2+X,1/2+Z
 -Y,1/2+X,1/2-Z
 Y,1/2-X,1/2-Z
 -X,1/2-Z,1/2+Y
 X,1/2-Z,1/2-Y
 X,1/2+Z,1/2+Y
 -X,1/2+Z,1/2-Y
 -Z,1/2-Y,1/2+X
 -Z,1/2+Y,1/2-X
 Z,1/2-Y,1/2-X
 Z,1/2+Y,1/2+X
 1/2+X,Y,1/2+Z
 1/2-X,-Y,1/2+Z
 1/2-X,Y,1/2-Z
 1/2+X,-Y,1/2-Z
 1/2+Z,X,1/2+Y
 1/2+Z,-X,1/2-Y
 1/2-Z,-X,1/2+Y
 1/2-Z,X,1/2-Y
 1/2+Y,Z,1/2+X
 1/2-Y,Z,1/2-X
 1/2+Y,-Z,1/2-X
 1/2-Y,-Z,1/2+X
 1/2+Y,X,1/2-Z
 1/2-Y,-X,1/2-Z
 1/2+Y,-X,1/2+Z
 1/2-Y,X,1/2+Z
 1/2+X,Z,1/2-Y
 1/2-X,Z,1/2+Y
 1/2-X,-Z,1/2-Y
 1/2+X,-Z,1/2+Y
 1/2+Z,Y,1/2-X
 1/2+Z,-Y,1/2+X
 1/2-Z,Y,1/2+X
 1/2-Z,-Y,1/2-X
 1/2-X,-Y,1/2-Z
 1/2+X,Y,1/2-Z
 1/2+X,-Y,1/2+Z
 1/2-X,Y,1/2+Z
 1/2-Z,-X,1/2-Y
 1/2-Z,X,1/2+Y
 1/2+Z,X,1/2-Y
 1/2+Z,-X,1/2+Y
 1/2-Y,-Z,1/2-X
 1/2+Y,-Z,1/2+X
 1/2-Y,Z,1/2+X
 1/2+Y,Z,1/2-X
 1/2-Y,-X,1/2+Z
 1/2+Y,X,1/2+Z
 1/2-Y,X,1/2-Z
 1/2+Y,-X,1/2-Z
 1/2-X,-Z,1/2+Y
 1/2+X,-Z,1/2-Y
 1/2+X,Z,1/2+Y
 1/2-X,Z,1/2-Y
 1/2-Z,-Y,1/2+X
 1/2-Z,Y,1/2-X
 1/2+Z,-Y,1/2-X
 1/2+Z,Y,1/2+X
 1/2+X,1/2+Y,Z
 1/2-X,1/2-Y,Z
 1/2-X,1/2+Y,-Z
 1/2+X,1/2-Y,-Z
 1/2+Z,1/2+X,Y
 1/2+Z,1/2-X,-Y
 1/2-Z,1/2-X,Y
 1/2-Z,1/2+X,-Y
 1/2+Y,1/2+Z,X
 1/2-Y,1/2+Z,-X
 1/2+Y,1/2-Z,-X
 1/2-Y,1/2-Z,X
 1/2+Y,1/2+X,-Z
 1/2-Y,1/2-X,-Z
 1/2+Y,1/2-X,Z
 1/2-Y,1/2+X,Z
 1/2+X,1/2+Z,-Y
 1/2-X,1/2+Z,Y
 1/2-X,1/2-Z,-Y
 1/2+X,1/2-Z,Y
 1/2+Z,1/2+Y,-X
 1/2+Z,1/2-Y,X
 1/2-Z,1/2+Y,X
 1/2-Z,1/2-Y,-X
 1/2-X,1/2-Y,-Z
 1/2+X,1/2+Y,-Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
 1/2-Z,1/2-X,-Y
 1/2-Z,1/2+X,Y
 1/2+Z,1/2+X,-Y
 1/2+Z,1/2-X,Y
 1/2-Y,1/2-Z,-X
 1/2+Y,1/2-Z,X
 1/2-Y,1/2+Z,X
 1/2+Y,1/2+Z,-X
 1/2-Y,1/2-X,Z
 1/2+Y,1/2+X,Z
 1/2-Y,1/2+X,-Z
 1/2+Y,1/2-X,-Z
 1/2-X,1/2-Z,Y
 1/2+X,1/2-Z,-Y
 1/2+X,1/2+Z,Y
 1/2-X,1/2+Z,-Y
 1/2-Z,1/2-Y,X
 1/2-Z,1/2+Y,-X
 1/2+Z,1/2-Y,-X
 1/2+Z,1/2+Y,X
226 192 48 Fm-3c PGm3barm CUBIC 'F 4/m -3 2/c' 'F m -3 c'
 X,Y,Z
 -X,-Y,Z
 -X,Y,-Z
 X,-Y,-Z
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 1/2+Y,1/2+X,1/2-Z
 1/2-Y,1/2-X,1/2-Z
 1/2+Y,1/2-X,1/2+Z
 1/2-Y,1/2+X,1/2+Z
 1/2+X,1/2+Z,1/2-Y
 1/2-X,1/2+Z,1/2+Y
 1/2-X,1/2-Z,1/2-Y
 1/2+X,1/2-Z,1/2+Y
 1/2+Z,1/2+Y,1/2-X
 1/2+Z,1/2-Y,1/2+X
 1/2-Z,1/2+Y,1/2+X
 1/2-Z,1/2-Y,1/2-X
 -X,-Y,-Z
 X,Y,-Z
 X,-Y,Z
 -X,Y,Z
 -Z,-X,-Y
 -Z,X,Y
 Z,X,-Y
 Z,-X,Y
 -Y,-Z,-X
 Y,-Z,X
 -Y,Z,X
 Y,Z,-X
 1/2-Y,1/2-X,1/2+Z
 1/2+Y,1/2+X,1/2+Z
 1/2-Y,1/2+X,1/2-Z
 1/2+Y,1/2-X,1/2-Z
 1/2-X,1/2-Z,1/2+Y
 1/2+X,1/2-Z,1/2-Y
 1/2+X,1/2+Z,1/2+Y
 1/2-X,1/2+Z,1/2-Y
 1/2-Z,1/2-Y,1/2+X
 1/2-Z,1/2+Y,1/2-X
 1/2+Z,1/2-Y,1/2-X
 1/2+Z,1/2+Y,1/2+X
 X,1/2+Y,1/2+Z
 -X,1/2-Y,1/2+Z
 -X,1/2+Y,1/2-Z
 X,1/2-Y,1/2-Z
 Z,1/2+X,1/2+Y
 Z,1/2-X,1/2-Y
 -Z,1/2-X,1/2+Y
 -Z,1/2+X,1/2-Y
 Y,1/2+Z,1/2+X
 -Y,1/2+Z,1/2-X
 Y,1/2-Z,1/2-X
 -Y,1/2-Z,1/2+X
 1/2+Y,X,-Z
 1/2-Y,-X,-Z
 1/2+Y,-X,Z
 1/2-Y,X,Z
 1/2+X,Z,-Y
 1/2-X,Z,Y
 1/2-X,-Z,-Y
 1/2+X,-Z,Y
 1/2+Z,Y,-X
 1/2+Z,-Y,X
 1/2-Z,Y,X
 1/2-Z,-Y,-X
 -X,1/2-Y,1/2-Z
 X,1/2+Y,1/2-Z
 X,1/2-Y,1/2+Z
 -X,1/2+Y,1/2+Z
 -Z,1/2-X,1/2-Y
 -Z,1/2+X,1/2+Y
 Z,1/2+X,1/2-Y
 Z,1/2-X,1/2+Y
 -Y,1/2-Z,1/2-X
 Y,1/2-Z,1/2+X
 -Y,1/2+Z,1/2+X
 Y,1/2+Z,1/2-X
 1/2-Y,-X,Z
 1/2+Y,X,Z
 1/2-Y,X,-Z
 1/2+Y,-X,-Z
 1/2-X,-Z,Y
 1/2+X,-Z,-Y
 1/2+X,Z,Y
 1/2-X,Z,-Y
 1/2-Z,-Y,X
 1/2-Z,Y,-X
 1/2+Z,-Y,-X
 1/2+Z,Y,X
 1/2+X,Y,1/2+Z
 1/2-X,-Y,1/2+Z
 1/2-X,Y,1/2-Z
 1/2+X,-Y,1/2-Z
 1/2+Z,X,1/2+Y
 1/2+Z,-X,1/2-Y
 1/2-Z,-X,1/2+Y
 1/2-Z,X,1/2-Y
 1/2+Y,Z,1/2+X
 1/2-Y,Z,1/2-X
 1/2+Y,-Z,1/2-X
 1/2-Y,-Z,1/2+X
 Y,1/2+X,-Z
 -Y,1/2-X,-Z
 Y,1/2-X,Z
 -Y,1/2+X,Z
 X,1/2+Z,-Y
 -X,1/2+Z,Y
 -X,1/2-Z,-Y
 X,1/2-Z,Y
 Z,1/2+Y,-X
 Z,1/2-Y,X
 -Z,1/2+Y,X
 -Z,1/2-Y,-X
 1/2-X,-Y,1/2-Z
 1/2+X,Y,1/2-Z
 1/2+X,-Y,1/2+Z
 1/2-X,Y,1/2+Z
 1/2-Z,-X,1/2-Y
 1/2-Z,X,1/2+Y
 1/2+Z,X,1/2-Y
 1/2+Z,-X,1/2+Y
 1/2-Y,-Z,1/2-X
 1/2+Y,-Z,1/2+X
 1/2-Y,Z,1/2+X
 1/2+Y,Z,1/2-X
 -Y,1/2-X,Z
 Y,1/2+X,Z
 -Y,1/2+X,-Z
 Y,1/2-X,-Z
 -X,1/2-Z,Y
 X,1/2-Z,-Y
 X,1/2+Z,Y
 -X,1/2+Z,-Y
 -Z,1/2-Y,X
 -Z,1/2+Y,-X
 Z,1/2-Y,-X
 Z,1/2+Y,X
 1/2+X,1/2+Y,Z
 1/2-X,1/2-Y,Z
 1/2-X,1/2+Y,-Z
 1/2+X,1/2-Y,-Z
 1/2+Z,1/2+X,Y
 1/2+Z,1/2-X,-Y
 1/2-Z,1/2-X,Y
 1/2-Z,1/2+X,-Y
 1/2+Y,1/2+Z,X
 1/2-Y,1/2+Z,-X
 1/2+Y,1/2-Z,-X
 1/2-Y,1/2-Z,X
 Y,X,1/2-Z
 -Y,-X,1/2-Z
 Y,-X,1/2+Z
 -Y,X,1/2+Z
 X,Z,1/2-Y
 -X,Z,1/2+Y
 -X,-Z,1/2-Y
 X,-Z,1/2+Y
 Z,Y,1/2-X
 Z,-Y,1/2+X
 -Z,Y,1/2+X
 -Z,-Y,1/2-X
 1/2-X,1/2-Y,-Z
 1/2+X,1/2+Y,-Z
 1/2+X,1/2-Y,Z
 1/2-X,1/2+Y,Z
 1/2-Z,1/2-X,-Y
 1/2-Z,1/2+X,Y
 1/2+Z,1/2+X,-Y
 1/2+Z,1/2-X,Y
 1/2-Y,1/2-Z,-X
 1/2+Y,1/2-Z,X
 1/2-Y,1/2+Z,X
 1/2+Y,1/2+Z,-X
 -Y,-X,1/2+Z
 Y,X,1/2+Z
 -Y,X,1/2-Z
 Y,-X,1/2-Z
 -X,-Z,1/2+Y
 X,-Z,1/2-Y
 X,Z,1/2+Y
 -X,Z,1/2-Y
 -Z,-Y,1/2+X
 -Z,Y,1/2-X
 Z,-Y,1/2-X
 Z,Y,1/2+X
227 192 48 Fd-3m PGm3barm CUBIC 'F 41/d -3 2/m' 'F d -3 m'
 X,Y,Z
 -X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,-Z
 1/2+X,-Y,1/2-Z
 Z,X,Y
 1/2+Z,-X,1/2-Y
 -Z,1/2-X,1/2+Y
 1/2-Z,1/2+X,-Y
 Y,Z,X
 1/2-Y,1/2+Z,-X
 1/2+Y,-Z,1/2-X
 -Y,1/2-Z,1/2+X
 3/4+Y,1/4+X,3/4-Z
 1/4-Y,1/4-X,1/4-Z
 1/4+Y,3/4-X,3/4+Z
 3/4-Y,3/4+X,1/4+Z
 3/4+X,1/4+Z,3/4-Y
 3/4-X,3/4+Z,1/4+Y
 1/4-X,1/4-Z,1/4-Y
 1/4+X,3/4-Z,3/4+Y
 3/4+Z,1/4+Y,3/4-X
 1/4+Z,3/4-Y,3/4+X
 3/4-Z,3/4+Y,1/4+X
 1/4-Z,1/4-Y,1/4-X
 1/4-X,1/4-Y,1/4-Z
 1/4+X,3/4+Y,3/4-Z
 3/4+X,3/4-Y,1/4+Z
 3/4-X,1/4+Y,3/4+Z
 1/4-Z,1/4-X,1/4-Y
 3/4-Z,1/4+X,3/4+Y
 1/4+Z,3/4+X,3/4-Y
 3/4+Z,3/4-X,1/4+Y
 1/4-Y,1/4-Z,1/4-X
 3/4+Y,3/4-Z,1/4+X
 3/4-Y,1/4+Z,3/4+X
 1/4+Y,3/4+Z,3/4-X
 1/2-Y,-X,1/2+Z
 Y,X,Z
 -Y,1/2+X,1/2-Z
 1/2+Y,1/2-X,-Z
 1/2-X,-Z,1/2+Y
 1/2+X,1/2-Z,-Y
 X,Z,Y
 -X,1/2+Z,1/2-Y
 1/2-Z,-Y,1/2+X
 -Z,1/2+Y,1/2-X
 1/2+Z,1/2-Y,-X
 Z,Y,X
 X,1/2+Y,1/2+Z
 -X,-Y,Z
 1/2-X,Y,1/2-Z
 1/2+X,1/2-Y,-Z
 Z,1/2+X,1/2+Y
 1/2+Z,1/2-X,-Y
 -Z,-X,Y
 1/2-Z,X,1/2-Y
 Y,1/2+Z,1/2+X
 1/2-Y,Z,1/2-X
 1/2+Y,1/2-Z,-X
 -Y,-Z,X
 3/4+Y,3/4+X,1/4-Z
 1/4-Y,3/4-X,3/4-Z
 1/4+Y,1/4-X,1/4+Z
 3/4-Y,1/4+X,3/4+Z
 3/4+X,3/4+Z,1/4-Y
 3/4-X,1/4+Z,3/4+Y
 1/4-X,3/4-Z,3/4-Y
 1/4+X,1/4-Z,1/4+Y
 3/4+Z,3/4+Y,1/4-X
 1/4+Z,1/4-Y,1/4+X
 3/4-Z,1/4+Y,3/4+X
 1/4-Z,3/4-Y,3/4-X
 1/4-X,3/4-Y,3/4-Z
 1/4+X,1/4+Y,1/4-Z
 3/4+X,1/4-Y,3/4+Z
 3/4-X,3/4+Y,1/4+Z
 1/4-Z,3/4-X,3/4-Y
 3/4-Z,3/4+X,1/4+Y
 1/4+Z,1/4+X,1/4-Y
 3/4+Z,1/4-X,3/4+Y
 1/4-Y,3/4-Z,3/4-X
 3/4+Y,1/4-Z,3/4+X
 3/4-Y,3/4+Z,1/4+X
 1/4+Y,1/4+Z,1/4-X
 1/2-Y,1/2-X,Z
 Y,1/2+X,1/2+Z
 -Y,X,-Z
 1/2+Y,-X,1/2-Z
 1/2-X,1/2-Z,Y
 1/2+X,-Z,1/2-Y
 X,1/2+Z,1/2+Y
 -X,Z,-Y
 1/2-Z,1/2-Y,X
 -Z,Y,-X
 1/2+Z,-Y,1/2-X
 Z,1/2+Y,1/2+X
 1/2+X,Y,1/2+Z
 1/2-X,1/2-Y,Z
 -X,1/2+Y,1/2-Z
 X,-Y,-Z
 1/2+Z,X,1/2+Y
 Z,-X,-Y
 1/2-Z,1/2-X,Y
 -Z,1/2+X,1/2-Y
 1/2+Y,Z,1/2+X
 -Y,1/2+Z,1/2-X
 Y,-Z,-X
 1/2-Y,1/2-Z,X
 1/4+Y,1/4+X,1/4-Z
 3/4-Y,1/4-X,3/4-Z
 3/4+Y,3/4-X,1/4+Z
 1/4-Y,3/4+X,3/4+Z
 1/4+X,1/4+Z,1/4-Y
 1/4-X,3/4+Z,3/4+Y
 3/4-X,1/4-Z,3/4-Y
 3/4+X,3/4-Z,1/4+Y
 1/4+Z,1/4+Y,1/4-X
 3/4+Z,3/4-Y,1/4+X
 1/4-Z,3/4+Y,3/4+X
 3/4-Z,1/4-Y,3/4-X
 3/4-X,1/4-Y,3/4-Z
 3/4+X,3/4+Y,1/4-Z
 1/4+X,3/4-Y,3/4+Z
 1/4-X,1/4+Y,1/4+Z
 3/4-Z,1/4-X,3/4-Y
 1/4-Z,1/4+X,1/4+Y
 3/4+Z,3/4+X,1/4-Y
 1/4+Z,3/4-X,3/4+Y
 3/4-Y,1/4-Z,3/4-X
 1/4+Y,3/4-Z,3/4+X
 1/4-Y,1/4+Z,1/4+X
 3/4+Y,3/4+Z,1/4-X
 -Y,-X,Z
 1/2+Y,X,1/2+Z
 1/2-Y,1/2+X,-Z
 Y,1/2-X,1/2-Z
 -X,-Z,Y
 X,1/2-Z,1/2-Y
 1/2+X,Z,1/2+Y
 1/2-X,1/2+Z,-Y
 -Z,-Y,X
 1/2-Z,1/2+Y,-X
 Z,1/2-Y,1/2-X
 1/2+Z,Y,1/2+X
 1/2+X,1/2+Y,Z
 1/2-X,-Y,1/2+Z
 -X,Y,-Z
 X,1/2-Y,1/2-Z
 1/2+Z,1/2+X,Y
 Z,1/2-X,1/2-Y
 1/2-Z,-X,1/2+Y
 -Z,X,-Y
 1/2+Y,1/2+Z,X
 -Y,Z,-X
 Y,1/2-Z,1/2-X
 1/2-Y,-Z,1/2+X
 1/4+Y,3/4+X,3/4-Z
 3/4-Y,3/4-X,1/4-Z
 3/4+Y,1/4-X,3/4+Z
 1/4-Y,1/4+X,1/4+Z
 1/4+X,3/4+Z,3/4-Y
 1/4-X,1/4+Z,1/4+Y
 3/4-X,3/4-Z,1/4-Y
 3/4+X,1/4-Z,3/4+Y
 1/4+Z,3/4+Y,3/4-X
 3/4+Z,1/4-Y,3/4+X
 1/4-Z,1/4+Y,1/4+X
 3/4-Z,3/4-Y,1/4-X
 3/4-X,3/4-Y,1/4-Z
 3/4+X,1/4+Y,3/4-Z
 1/4+X,1/4-Y,1/4+Z
 1/4-X,3/4+Y,3/4+Z
 3/4-Z,3/4-X,1/4-Y
 1/4-Z,3/4+X,3/4+Y
 3/4+Z,1/4+X,3/4-Y
 1/4+Z,1/4-X,1/4+Y
 3/4-Y,3/4-Z,1/4-X
 1/4+Y,1/4-Z,1/4+X
 1/4-Y,3/4+Z,3/4+X
 3/4+Y,1/4+Z,3/4-X
 -Y,1/2-X,1/2+Z
 1/2+Y,1/2+X,Z
 1/2-Y,X,1/2-Z
 Y,-X,-Z
 -X,1/2-Z,1/2+Y
 X,-Z,-Y
 1/2+X,1/2+Z,Y
 1/2-X,Z,1/2-Y
 -Z,1/2-Y,1/2+X
 1/2-Z,Y,1/2-X
 Z,-Y,-X
 1/2+Z,1/2+Y,X
228 192 48 Fd-3c PGm3barm CUBIC 'F 41/d -3 2/c' 'F d -3 c'
 X,Y,Z
 -X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,-Z
 1/2+X,-Y,1/2-Z
 Z,X,Y
 1/2+Z,-X,1/2-Y
 -Z,1/2-X,1/2+Y
 1/2-Z,1/2+X,-Y
 Y,Z,X
 1/2-Y,1/2+Z,-X
 1/2+Y,-Z,1/2-X
 -Y,1/2-Z,1/2+X
 3/4+Y,1/4+X,3/4-Z
 1/4-Y,1/4-X,1/4-Z
 1/4+Y,3/4-X,3/4+Z
 3/4-Y,3/4+X,1/4+Z
 3/4+X,1/4+Z,3/4-Y
 3/4-X,3/4+Z,1/4+Y
 1/4-X,1/4-Z,1/4-Y
 1/4+X,3/4-Z,3/4+Y
 3/4+Z,1/4+Y,3/4-X
 1/4+Z,3/4-Y,3/4+X
 3/4-Z,3/4+Y,1/4+X
 1/4-Z,1/4-Y,1/4-X
 3/4-X,3/4-Y,3/4-Z
 3/4+X,1/4+Y,1/4-Z
 1/4+X,1/4-Y,3/4+Z
 1/4-X,3/4+Y,1/4+Z
 3/4-Z,3/4-X,3/4-Y
 1/4-Z,3/4+X,1/4+Y
 3/4+Z,1/4+X,1/4-Y
 1/4+Z,1/4-X,3/4+Y
 3/4-Y,3/4-Z,3/4-X
 1/4+Y,1/4-Z,3/4+X
 1/4-Y,3/4+Z,1/4+X
 3/4+Y,1/4+Z,1/4-X
 -Y,1/2-X,Z
 1/2+Y,1/2+X,1/2+Z
 1/2-Y,X,-Z
 Y,-X,1/2-Z
 -X,1/2-Z,Y
 X,-Z,1/2-Y
 1/2+X,1/2+Z,1/2+Y
 1/2-X,Z,-Y
 -Z,1/2-Y,X
 1/2-Z,Y,-X
 Z,-Y,1/2-X
 1/2+Z,1/2+Y,1/2+X
 X,1/2+Y,1/2+Z
 -X,-Y,Z
 1/2-X,Y,1/2-Z
 1/2+X,1/2-Y,-Z
 Z,1/2+X,1/2+Y
 1/2+Z,1/2-X,-Y
 -Z,-X,Y
 1/2-Z,X,1/2-Y
 Y,1/2+Z,1/2+X
 1/2-Y,Z,1/2-X
 1/2+Y,1/2-Z,-X
 -Y,-Z,X
 3/4+Y,3/4+X,1/4-Z
 1/4-Y,3/4-X,3/4-Z
 1/4+Y,1/4-X,1/4+Z
 3/4-Y,1/4+X,3/4+Z
 3/4+X,3/4+Z,1/4-Y
 3/4-X,1/4+Z,3/4+Y
 1/4-X,3/4-Z,3/4-Y
 1/4+X,1/4-Z,1/4+Y
 3/4+Z,3/4+Y,1/4-X
 1/4+Z,1/4-Y,1/4+X
 3/4-Z,1/4+Y,3/4+X
 1/4-Z,3/4-Y,3/4-X
 3/4-X,1/4-Y,1/4-Z
 3/4+X,3/4+Y,3/4-Z
 1/4+X,3/4-Y,1/4+Z
 1/4-X,1/4+Y,3/4+Z
 3/4-Z,1/4-X,1/4-Y
 1/4-Z,1/4+X,3/4+Y
 3/4+Z,3/4+X,3/4-Y
 1/4+Z,3/4-X,1/4+Y
 3/4-Y,1/4-Z,1/4-X
 1/4+Y,3/4-Z,1/4+X
 1/4-Y,1/4+Z,3/4+X
 3/4+Y,3/4+Z,3/4-X
 -Y,-X,1/2+Z
 1/2+Y,X,Z
 1/2-Y,1/2+X,1/2-Z
 Y,1/2-X,-Z
 -X,-Z,1/2+Y
 X,1/2-Z,-Y
 1/2+X,Z,Y
 1/2-X,1/2+Z,1/2-Y
 -Z,-Y,1/2+X
 1/2-Z,1/2+Y,1/2-X
 Z,1/2-Y,-X
 1/2+Z,Y,X
 1/2+X,Y,1/2+Z
 1/2-X,1/2-Y,Z
 -X,1/2+Y,1/2-Z
 X,-Y,-Z
 1/2+Z,X,1/2+Y
 Z,-X,-Y
 1/2-Z,1/2-X,Y
 -Z,1/2+X,1/2-Y
 1/2+Y,Z,1/2+X
 -Y,1/2+Z,1/2-X
 Y,-Z,-X
 1/2-Y,1/2-Z,X
 1/4+Y,1/4+X,1/4-Z
 3/4-Y,1/4-X,3/4-Z
 3/4+Y,3/4-X,1/4+Z
 1/4-Y,3/4+X,3/4+Z
 1/4+X,1/4+Z,1/4-Y
 1/4-X,3/4+Z,3/4+Y
 3/4-X,1/4-Z,3/4-Y
 3/4+X,3/4-Z,1/4+Y
 1/4+Z,1/4+Y,1/4-X
 3/4+Z,3/4-Y,1/4+X
 1/4-Z,3/4+Y,3/4+X
 3/4-Z,1/4-Y,3/4-X
 1/4-X,3/4-Y,1/4-Z
 1/4+X,1/4+Y,3/4-Z
 3/4+X,1/4-Y,1/4+Z
 3/4-X,3/4+Y,3/4+Z
 1/4-Z,3/4-X,1/4-Y
 3/4-Z,3/4+X,3/4+Y
 1/4+Z,1/4+X,3/4-Y
 3/4+Z,1/4-X,1/4+Y
 1/4-Y,3/4-Z,1/4-X
 3/4+Y,1/4-Z,1/4+X
 3/4-Y,3/4+Z,3/4+X
 1/4+Y,1/4+Z,3/4-X
 1/2-Y,1/2-X,1/2+Z
 Y,1/2+X,Z
 -Y,X,1/2-Z
 1/2+Y,-X,-Z
 1/2-X,1/2-Z,1/2+Y
 1/2+X,-Z,-Y
 X,1/2+Z,Y
 -X,Z,1/2-Y
 1/2-Z,1/2-Y,1/2+X
 -Z,Y,1/2-X
 1/2+Z,-Y,-X
 Z,1/2+Y,X
 1/2+X,1/2+Y,Z
 1/2-X,-Y,1/2+Z
 -X,Y,-Z
 X,1/2-Y,1/2-Z
 1/2+Z,1/2+X,Y
 Z,1/2-X,1/2-Y
 1/2-Z,-X,1/2+Y
 -Z,X,-Y
 1/2+Y,1/2+Z,X
 -Y,Z,-X
 Y,1/2-Z,1/2-X
 1/2-Y,-Z,1/2+X
 1/4+Y,3/4+X,3/4-Z
 3/4-Y,3/4-X,1/4-Z
 3/4+Y,1/4-X,3/4+Z
 1/4-Y,1/4+X,1/4+Z
 1/4+X,3/4+Z,3/4-Y
 1/4-X,1/4+Z,1/4+Y
 3/4-X,3/4-Z,1/4-Y
 3/4+X,1/4-Z,3/4+Y
 1/4+Z,3/4+Y,3/4-X
 3/4+Z,1/4-Y,3/4+X
 1/4-Z,1/4+Y,1/4+X
 3/4-Z,3/4-Y,1/4-X
 1/4-X,1/4-Y,3/4-Z
 1/4+X,3/4+Y,1/4-Z
 3/4+X,3/4-Y,3/4+Z
 3/4-X,1/4+Y,1/4+Z
 1/4-Z,1/4-X,3/4-Y
 3/4-Z,1/4+X,1/4+Y
 1/4+Z,3/4+X,1/4-Y
 3/4+Z,3/4-X,3/4+Y
 1/4-Y,1/4-Z,3/4-X
 3/4+Y,3/4-Z,3/4+X
 3/4-Y,1/4+Z,1/4+X
 1/4+Y,3/4+Z,1/4-X
 1/2-Y,-X,Z
 Y,X,1/2+Z
 -Y,1/2+X,-Z
 1/2+Y,1/2-X,1/2-Z
 1/2-X,-Z,Y
 1/2+X,1/2-Z,1/2-Y
 X,Z,1/2+Y
 -X,1/2+Z,-Y
 1/2-Z,-Y,X
 -Z,1/2+Y,-X
 1/2+Z,1/2-Y,1/2-X
 Z,Y,1/2+X
229 96 48 Im-3m PGm3barm CUBIC 'I 4/m -3 2/m' 'I m -3 m'
 X,Y,Z
 -X,-Y,Z
 -X,Y,-Z
 X,-Y,-Z
 Z,X,Y
 Z,-X,-Y
 -Z,-X,Y
 -Z,X,-Y
 Y,Z,X
 -Y,Z,-X
 Y,-Z,-X
 -Y,-Z,X
 Y,X,-Z
 -Y,-X,-Z
 Y,-X,Z
 -Y,X,Z
 X,Z,-Y
 -X,Z,Y
 -X,-Z,-Y
 X,-Z,Y
 Z,Y,-X
 Z,-Y,X
 -Z,Y,X
 -Z,-Y,-X
 -X,-Y,-Z
 X,Y,-Z
 X,-Y,Z
 -X,Y,Z
 -Z,-X,-Y
 -Z,X,Y
 Z,X,-Y
 Z,-X,Y
 -Y,-Z,-X
 Y,-Z,X
 -Y,Z,X
 Y,Z,-X
 -Y,-X,Z
 Y,X,Z
 -Y,X,-Z
 Y,-X,-Z
 -X,-Z,Y
 X,-Z,-Y
 X,Z,Y
 -X,Z,-Y
 -Z,-Y,X
 -Z,Y,-X
 Z,-Y,-X
 Z,Y,X
 1/2+X,1/2+Y,1/2+Z
 1/2-X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,1/2-Z
 1/2+Z,1/2+X,1/2+Y
 1/2+Z,1/2-X,1/2-Y
 1/2-Z,1/2-X,1/2+Y
 1/2-Z,1/2+X,1/2-Y
 1/2+Y,1/2+Z,1/2+X
 1/2-Y,1/2+Z,1/2-X
 1/2+Y,1/2-Z,1/2-X
 1/2-Y,1/2-Z,1/2+X
 1/2+Y,1/2+X,1/2-Z
 1/2-Y,1/2-X,1/2-Z
 1/2+Y,1/2-X,1/2+Z
 1/2-Y,1/2+X,1/2+Z
 1/2+X,1/2+Z,1/2-Y
 1/2-X,1/2+Z,1/2+Y
 1/2-X,1/2-Z,1/2-Y
 1/2+X,1/2-Z,1/2+Y
 1/2+Z,1/2+Y,1/2-X
 1/2+Z,1/2-Y,1/2+X
 1/2-Z,1/2+Y,1/2+X
 1/2-Z,1/2-Y,1/2-X
 1/2-X,1/2-Y,1/2-Z
 1/2+X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,1/2+Z
 1/2-Z,1/2-X,1/2-Y
 1/2-Z,1/2+X,1/2+Y
 1/2+Z,1/2+X,1/2-Y
 1/2+Z,1/2-X,1/2+Y
 1/2-Y,1/2-Z,1/2-X
 1/2+Y,1/2-Z,1/2+X
 1/2-Y,1/2+Z,1/2+X
 1/2+Y,1/2+Z,1/2-X
 1/2-Y,1/2-X,1/2+Z
 1/2+Y,1/2+X,1/2+Z
 1/2-Y,1/2+X,1/2-Z
 1/2+Y,1/2-X,1/2-Z
 1/2-X,1/2-Z,1/2+Y
 1/2+X,1/2-Z,1/2-Y
 1/2+X,1/2+Z,1/2+Y
 1/2-X,1/2+Z,1/2-Y
 1/2-Z,1/2-Y,1/2+X
 1/2-Z,1/2+Y,1/2-X
 1/2+Z,1/2-Y,1/2-X
 1/2+Z,1/2+Y,1/2+X
230 96 48 Ia-3d PGm3barm CUBIC 'I 41/a -3 2/d' 'I a -3 d'
 X,Y,Z
 1/2-X,-Y,1/2+Z
 -X,1/2+Y,1/2-Z
 1/2+X,1/2-Y,-Z
 Z,X,Y
 1/2+Z,1/2-X,-Y
 1/2-Z,-X,1/2+Y
 -Z,1/2+X,1/2-Y
 Y,Z,X
 -Y,1/2+Z,1/2-X
 1/2+Y,1/2-Z,-X
 1/2-Y,-Z,1/2+X
 3/4+Y,1/4+X,1/4-Z
 3/4-Y,3/4-X,3/4-Z
 1/4+Y,1/4-X,3/4+Z
 1/4-Y,3/4+X,1/4+Z
 3/4+X,1/4+Z,1/4-Y
 1/4-X,3/4+Z,1/4+Y
 3/4-X,3/4-Z,3/4-Y
 1/4+X,1/4-Z,3/4+Y
 3/4+Z,1/4+Y,1/4-X
 1/4+Z,1/4-Y,3/4+X
 1/4-Z,3/4+Y,1/4+X
 3/4-Z,3/4-Y,3/4-X
 -X,-Y,-Z
 1/2+X,Y,1/2-Z
 X,1/2-Y,1/2+Z
 1/2-X,1/2+Y,Z
 -Z,-X,-Y
 1/2-Z,1/2+X,Y
 1/2+Z,X,1/2-Y
 Z,1/2-X,1/2+Y
 -Y,-Z,-X
 Y,1/2-Z,1/2+X
 1/2-Y,1/2+Z,X
 1/2+Y,Z,1/2-X
 1/4-Y,3/4-X,3/4+Z
 1/4+Y,1/4+X,1/4+Z
 3/4-Y,3/4+X,1/4-Z
 3/4+Y,1/4-X,3/4-Z
 1/4-X,3/4-Z,3/4+Y
 3/4+X,1/4-Z,3/4-Y
 1/4+X,1/4+Z,1/4+Y
 3/4-X,3/4+Z,1/4-Y
 1/4-Z,3/4-Y,3/4+X
 3/4-Z,3/4+Y,1/4-X
 3/4+Z,1/4-Y,3/4-X
 1/4+Z,1/4+Y,1/4+X
 1/2+X,1/2+Y,1/2+Z
 -X,1/2-Y,Z
 1/2-X,Y,-Z
 X,-Y,1/2-Z
 1/2+Z,1/2+X,1/2+Y
 Z,-X,1/2-Y
 -Z,1/2-X,Y
 1/2-Z,X,-Y
 1/2+Y,1/2+Z,1/2+X
 1/2-Y,Z,-X
 Y,-Z,1/2-X
 -Y,1/2-Z,X
 1/4+Y,3/4+X,3/4-Z
 1/4-Y,1/4-X,1/4-Z
 3/4+Y,3/4-X,1/4+Z
 3/4-Y,1/4+X,3/4+Z
 1/4+X,3/4+Z,3/4-Y
 3/4-X,1/4+Z,3/4+Y
 1/4-X,1/4-Z,1/4-Y
 3/4+X,3/4-Z,1/4+Y
 1/4+Z,3/4+Y,3/4-X
 3/4+Z,3/4-Y,1/4+X
 3/4-Z,1/4+Y,3/4+X
 1/4-Z,1/4-Y,1/4-X
 1/2-X,1/2-Y,1/2-Z
 X,1/2+Y,-Z
 1/2+X,-Y,Z
 -X,Y,1/2+Z
 1/2-Z,1/2-X,1/2-Y
 -Z,X,1/2+Y
 Z,1/2+X,-Y
 1/2+Z,-X,Y
 1/2-Y,1/2-Z,1/2-X
 1/2+Y,-Z,X
 -Y,Z,1/2+X
 Y,1/2+Z,-X
 3/4-Y,1/4-X,1/4+Z
 3/4+Y,3/4+X,3/4+Z
 1/4-Y,1/4+X,3/4-Z
 1/4+Y,3/4-X,1/4-Z
 3/4-X,1/4-Z,1/4+Y
 1/4+X,3/4-Z,1/4-Y
 3/4+X,3/4+Z,3/4+Y
 1/4-X,1/4+Z,3/4-Y
 3/4-Z,1/4-Y,1/4+X
 1/4-Z,1/4+Y,3/4-X
 1/4+Z,3/4-Y,1/4-X
 3/4+Z,3/4+Y,3/4+X
1003 2 2 P2 PG2 MONOCLINIC 'P 1 1 2'  !(dyad along z)
 X,Y,Z
 -X,-Y,Z
1004 2 2 P1121 PG2 MONOCLINIC 'P 1 1 21'  !(unique axis c)
 X,Y,Z 
 -X,-Y,1/2+Z
3004 4 2 I21 PG2 MONOCLINIC  'I 1 21 1'
 X,Y,Z 
 -X,1/2+Y,-Z
 X+1/2,Y+1/2,Z+1/2 
 -X+1/2,Y,1/2-Z
1005 4 2 'B 1 1 2'     MONOCLINIC B2  'B 2'
 X,Y,Z 
 -X,-Y,Z 
 1/2+X,+Y,1/2+Z 
 1/2-X,-Y,1/2+Z
2005 4 2 A2 PG2 MONOCLINIC 'A 2 1 1'  
 X, Y, Z 
 X,-Y,-Z
 X,1/2+Y,1/2+Z
 X,1/2-Y,1/2-Z
3005 4 2 C21 PG2 MONOCLINIC 'C 1 21 1' ! (Origin on screw at 1/4X)
 X, Y, Z 
 -X,1/2+Y,-Z
 1/2+X,1/2+Y,Z 
  1/2-X, Y,-Z
1006 2 2 'P 1 1 m'       1 MONOCLINIC
 X,Y,Z 
 X,Y,-Z
1007 2 2 'P 1 1 b'       1 MONOCLINIC
 X,Y,Z
 X,1/2+Y,-Z
1008 4 2 'B 1 1 m'       1 MONOCLINIC
 X,Y,Z
 X,-Y,Z
 1/2+X,1/2+Y,Z
 1/2+X,1/2-Y,Z
1009 4 2 'B 1 1 b'       1 MONOCLINIC
 X,Y,Z
 X,1/2+Y,-Z
 1/2+X,Y,1/2+Z
 1/2+X,1/2+Y,1/2-Z
1010 4 4 'P 1 1 2/m'    1 MONOCLINIC
 X,Y,Z
 X,Y,-Z
 -X,-Y,Z
 -X,-Y,-Z
1011 4 4 'P 1 1 21/m'   1 MONOCLINIC
 X,Y,Z
 -X,-Y,1/2+Z
 -X,-Y,-Z
 X,Y,1/2-Z
1012 8 4 'B 1 1 2/m'    1 MONOCLINIC
 X,Y,Z
 X,Y,-Z
 -X,-Y,Z
 -X,-Y,-Z
 1/2+X,Y,1/2+Z
 1/2+X,Y,1/2-Z
 1/2-X,-Y,1/2+Z
 1/2-X,-Y,1/2-Z
1013 4 4 'P 1 1 2/b'    1 MONOCLINIC
 X,Y,Z
 -X,1/2-Y,Z
 -X,-Y,-Z
 X,1/2+Y,-Z
1014 4 4 'P 1 1 21/b'   1 MONOCLINIC
 X,Y,Z
 -X,-Y,-Z
 -X,1/2-Y,1/2+Z
 X,1/2+Y,1/2-Z
1015 8 4 'B 1 1 2/b'    1 MONOCLINIC
 X,Y,Z
 -X,1/2-Y,Z
 -X,-Y,-Z
 X,1/2+Y,-Z
 1/2+X,Y,1/2+Z
 1/2-X,1/2-Y,1/2+Z
 1/2-X,-Y,1/2-Z
 1/2+X,1/2+Y,1/2-Z
1017 4 4 P2122 PG222 ORTHORHOMBIC 'P 21 2 2' !(unique axis a)
 X,Y,Z 
 -X,Y,-Z 
 1/2+X,-Y,-Z 
 1/2-X,-Y,Z
2017 4 4 P2212 PG222 ORTHORHOMBIC 'P 2 21 2' !(unique axis b)
  X,Y,Z 
  X,1/2-Y,-Z 
 -X,1/2+Y,-Z 
 -X,-Y,Z
1018 4 4 P21212a PG222 ORTHORHOMBIC 'P 21 21 2 (a)' ! origin on 21 21, shift (1/4,1/4,0)
 X,Y,Z 
 1/2-X,1/2-Y,Z 
 X+1/2,-Y,-Z 
 -X,Y+1/2,-Z
2018 4 4 P21221 PG222 ORTHORHOMBIC 'P 21 2 21'  !(unique axis b)
 X,Y,Z 
 -X,Y,-Z 
 1/2+X,-Y,1/2-Z 
 1/2-X,-Y,1/2+Z
3018 4 4 P22121 PG222 ORTHORHOMBIC 'P 2 21 21'  !(unique axis a)
 X,Y,Z 
  X,-Y,-Z 
 -X,1/2+Y,1/2-Z 
 -X,1/2-Y,1/2+Z
1020 8 4 C2221a PG222 ORTHORHOMBIC 'C 2 2 21a)' ! P212121 with C centring, shift(1/4,0,0)
 X,Y,Z 
 1/2-X,-Y,1/2+Z 
 1/2+X,1/2-Y,-Z 
 -X,1/2+Y,1/2-Z
 1/2+X,1/2+Y,Z 
 -X,1/2-Y,1/2+Z 
 X,-Y,-Z 
 1/2-X,Y,1/2-Z
1021 8 4 C222a PG222 ORTHORHOMBIC 'C 2 2 2a'  ! C21212a origin on 21 21
 X,Y,Z 
 1/2-X,1/2-Y,Z 
 X+1/2,-Y,-Z 
 -X,Y+1/2,-Z
 1/2+ X,1/2+Y,Z 
 -X,-Y,Z 
 X,1/2-Y,-Z 
 1/2-X,Y,-Z
1022 16 4 F222a PG222 ORTHORHOMBIC 'F 2 2 2a' ! same as 1018 with face centring  shift (1/4,0,0)
 X,Y,Z         
 1/2-X,1/2-Y,Z 
 X+1/2,-Y,-Z 
 -X,Y+1/2,-Z
 X,Y+1/2,Z+1/2 
 1/2-X,-Y,Z+1/2 
 X+1/2,-Y+1/2,-Z+1/2 
 -X,Y,-Z+1/2
 X+1/2,Y,Z+1/2 
 -X,1/2-Y,Z+1/2 
 X,-Y,-Z+1/2 
 -X+1/2,Y+1/2,-Z+1/2
 X+1/2,Y+1/2,Z 
 -X,-Y,Z 
 X,-Y+1/2,-Z 
 -X+1/2,Y,-Z
1023 8 4 I222a PG222 ORTHORHOMBIC 'I 2 2 2a'  ! as 1018 with origin shift (1/4,1/4,1/4)
 X,Y,Z 
 1/2-X,1/2-Y,Z 
 X+1/2,-Y,-Z 
 -X,Y+1/2,-Z
 1/2+X,1/2+Y,1/2+Z 
  -X,-Y,1/2+Z
 1/2-X,Y,1/2-Z 
  X,1/2-Y,1/2-Z
1059 8 8 Pmmn2 PGmmm ORTHORHOMBIC 'P 21/m 21/m 2/n'
 X,Y,Z
 1/2-X,1/2-Y,Z
 -X,1/2+Y,-Z
 1/2+X,-Y,-Z
 -X,-Y,-Z
 X+1/2,Y+1/2,-Z
 X,1/2-Y,Z
 1/2-X,Y,Z
1094 8 8 P42212a PG422 TETRAGONAL 'P 42 21 2a' ! (as P21212a) origin on 21 21 ie Shift 1/4,1/4,1/4
 X,Y,Z                 
 1/2-X,1/2-Y,Z
 -Y,X+1/2,1/2+Z        
 Y+1/2,-X,1/2+Z
 -X,Y+1/2,-Z           
 X+1/2,-Y,-Z
 Y,X,1/2-Z             
 1/2-Y,1/2-X,1/2-Z
1197 24 12 I23a PG23 CUBIC 'I 2 3a' ! Expansion of 1023 which is an expansion of 1018
 X,Y,Z
 1/2-X,1/2-Y,Z
 X+1/2,-Y,-Z
 -X,Y+1/2,-Z
 Y,Z,X
 1/2-Y,1/2-Z,X
 Y+1/2,-Z,-X
 -Y,Z+1/2,-X
 Z,X,Y
 1/2-Z,1/2-X,Y
 Z+1/2,-X,-Y
 -Z,X+1/2,-Y
 1/2+X,1/2+Y,1/2+Z
 -X,-Y,1/2+Z
 X,1/2-Y,1/2-Z
 1/2-X,Y,1/2-Z
 1/2+Y,1/2+Z,1/2+X
 -Y,-Z,1/2+X
 Y,1/2-Z,1/2-X
 1/2-Y,Z,1/2-X
 1/2+Z,1/2+X,1/2+Y
 -Z,-X,1/2+Y
 Z,1/2-X,1/2-Y
 1/2-Z,X,1/2-Y