1: P1 (unique axis: )
  1: 1a: x,y,z  
2: P-1 (unique axis: )
  1: 2i: x,y,z
  2: 1h: 1/2,1/2,1/2
  3: 1g: 0,1/2,1/2
  4: 1f: 1/2,0,1/2
  5: 1e: 1/2,1/2,0
  6: 1d: 1/2,0,0
  7: 1c: 0,1/2,0
  8: 1b: 0,0,1/2
  9: 1a: 0,0,0  
3: P2 (unique axis: b)
  1: 2e: x,y,z
  2: 1d: 1/2,y,1/2
  3: 1c: 1/2,y,0
  4: 1b: 0,y,1/2
  5: 1a: 0,y,0  
4: P2<sub>1</sub> (unique axis: b)
  1: 2a: x,y,z  
5: C2 (unique axis: b)
  1: 4c: x,y,z
  2: 2b: 0,y,1/2
  3: 2a: 0,y,0  
6: Pm (unique axis: b)
  1: 2c: x,y,z
  2: 1b: x,1/2,z
  3: 1a: x,0,z  
7: Pc (unique axis: b)
  1: 2a: x,y,z  
8: Cm (unique axis: b)
  1: 4b: x,y,z
  2: 2a: x,0,z  
9: Cc (unique axis: b)
  1: 4a: x,y,z  
10: P2/m (unique axis: b)
  1: 4o: x,y,z
  2: 2n: x,1/2,z
  3: 2m: x,0,z
  4: 2l: 1/2,y,1/2
  5: 2k: 0,y,1/2
  6: 2j: 1/2,y,0
  7: 2i: 0,y,0
  8: 1h: 1/2,1/2,1/2
  9: 1g: 1/2,0,1/2
  10: 1f: 0,1/2,1/2
  11: 1e: 1/2,1/2,0
  12: 1d: 1/2,0,0
  13: 1c: 0,0,1/2
  14: 1b: 0,1/2,0
  15: 1a: 0,0,0  
11: P2<sub>1</sub>/m (unique axis: b)
  1: 4f: x,y,z
  2: 2e: x,1/4,z
  3: 2d: 1/2,0,1/2
  4: 2c: 0,0,1/2
  5: 2b: 1/2,0,0
  6: 2a: 0,0,0  
12: C2/m (unique axis: b)
  1: 8j: x,y,z
  2: 4i: x,0,z
  3: 4h: 0,y,1/2
  4: 4g: 0,y,0
  5: 4f: 1/4,1/4,1/2
  6: 4e: 1/4,1/4,0
  7: 2d: 0,1/2,1/2
  8: 2c: 0,0,1/2
  9: 2b: 0,1/2,0
  10: 2a: 0,0,0  
13: P2/c (unique axis: b)
  1: 4g: x,y,z
  2: 2f: 1/2,y,1/4
  3: 2e: 0,y,1/4
  4: 2d: 1/2,0,0
  5: 2c: 0,1/2,0
  6: 2b: 1/2,1/2,0
  7: 2a: 0,0,0  
14: P2<sub>1</sub>/c (unique axis: b)
  1: 4e: x,y,z
  2: 2d: 1/2,0,1/2
  3: 2c: 0,0,1/2
  4: 2b: 1/2,0,0
  5: 2a: 0,0,0  
15: C2/c (unique axis: b)
  1: 8f: x,y,z
  2: 4e: 0,y,1/4
  3: 4d: 1/4,1/4,1/2
  4: 4c: 1/4,1/4,0
  5: 4b: 0,1/2,0
  6: 4a: 0,0,0  
16: P222 (unique axis: )
  1: 4u: x,y,z
  2: 2t: 1/2,1/2,z
  3: 2s: 0,1/2,z
  4: 2r: 1/2,0,z
  5: 2q: 0,0,z
  6: 2p: 1/2,y,1/2
  7: 2o: 1/2,y,0
  8: 2n: 0,y,1/2
  9: 2m: 0,y,0
  10: 2l: x,1/2,1/2
  11: 2k: x,1/2,0
  12: 2j: x,0,1/2
  13: 2i: x,0,0
  14: 1h: 1/2,1/2,1/2
  15: 1g: 0,1/2,1/2
  16: 1f: 1/2,0,1/2
  17: 1e: 1/2,1/2,0
  18: 1d: 0,0,1/2
  19: 1c: 0,1/2,0
  20: 1b: 1/2,0,0
  21: 1a: 0,0,0  
17: P222<sub>1</sub> (unique axis: )
  1: 4e: x,y,z
  2: 2d: 1/2,y,1/4
  3: 2c: 0,y,1/4
  4: 2b: x,1/2,0
  5: 2a: x,0,0  
18: P2<sub>1</sub>2<sub>1</sub>2 (unique axis: )
  1: 4c: x,y,z
  2: 2b: 0,1/2,z
  3: 2a: 0,0,z  
19: P2<sub>1</sub>2<sub>1</sub>2<sub>1</sub> (unique axis: )
  1: 4a: x,y,z  
20: C222<sub>1</sub> (unique axis: )
  1: 8c: x,y,z
  2: 4b: 0,y,1/4
  3: 4a: x,0,0  
21: C222 (unique axis: )
  1: 8l: x,y,z
  2: 4k: 1/4,1/4,z
  3: 4j: 0,1/2,z
  4: 4i: 0,0,z
  5: 4h: 0,y,1/2
  6: 4g: 0,y,0
  7: 4f: x,0,1/2
  8: 4e: x,0,0
  9: 2d: 0,0,1/2
  10: 2c: 1/2,0,1/2
  11: 2b: 0,1/2,0
  12: 2a: 0,0,0  
22: F222 (unique axis: )
  1: 16k: x,y,z
  2: 8j: x,1/4,1/4
  3: 8i: 1/4,y,1/4
  4: 8h: 1/4,1/4,z
  5: 8g: 0,0,z
  6: 8f: 0,y,0
  7: 8e: x,0,0
  8: 4d: 1/4,1/4,3/4
  9: 4c: 1/4,1/4,1/4
  10: 4b: 0,0,1/2
  11: 4a: 0,0,0  
23: I222 (unique axis: )
  1: 8k: x,y,z
  2: 4j: 0,1/2,z
  3: 4i: 0,0,z
  4: 4h: 1/2,y,0
  5: 4g: 0,y,0
  6: 4f: x,0,1/2
  7: 4e: x,0,0
  8: 2d: 0,1/2,0
  9: 2c: 0,0,1/2
  10: 2b: 1/2,0,0
  11: 2a: 0,0,0  
24: I2<sub>1</sub>2<sub>1</sub>2<sub>1</sub> (unique axis: )
  1: 8d: x,y,z
  2: 4c: 0,1/4,z
  3: 4b: 1/4,y,0
  4: 4a: x,0,1/4  
25: Pmm2 (unique axis: )
  1: 4i: x,y,z
  2: 2h: 1/2,y,z
  3: 2g: 0,y,z
  4: 2f: x,1/2,z
  5: 2e: x,0,z
  6: 1d: 1/2,1/2,z
  7: 1c: 1/2,0,z
  8: 1b: 0,1/2,z
  9: 1a: 0,0,z  
26: Pmc2<sub>1</sub> (unique axis: )
  1: 4c: x,y,z
  2: 2b: 1/2,y,z
  3: 2a: 0,y,z  
27: Pcc2 (unique axis: )
  1: 4e: x,y,z
  2: 2d: 1/2,1/2,z
  3: 2c: 1/2,0,z
  4: 2b: 0,1/2,z
  5: 2a: 0,0,z  
28: Pma2 (unique axis: )
  1: 4d: x,y,z
  2: 2c: 1/4,y,z
  3: 2b: 0,1/2,z
  4: 2a: 0,0,z  
29: Pca2<sub>1</sub> (unique axis: )
  1: 4a: x,y,z  
30: Pnc2 (unique axis: )
  1: 4c: x,y,z
  2: 2b: 1/2,0,z
  3: 2a: 0,0,z  
31: Pmn2<sub>1</sub> (unique axis: )
  1: 4b: x,y,z
  2: 2a: 0,y,z  
32: Pba2 (unique axis: )
  1: 4c: x,y,z
  2: 2b: 0,1/2,z
  3: 2a: 0,0,z  
33: Pna2<sub>1</sub> (unique axis: )
  1: 4a: x,y,z  
34: Pnn2 (unique axis: )
  1: 4c: x,y,z
  2: 2b: 0,1/2,z
  3: 2a: 0,0,z  
35: Cmm2 (unique axis: )
  1: 8f: x,y,z
  2: 4e: 0,y,z
  3: 4d: x,0,z
  4: 4c: 1/4,1/4,z
  5: 2b: 0,1/2,z
  6: 2a: 0,0,z  
36: Cmc2<sub>1</sub> (unique axis: )
  1: 8b: x,y,z
  2: 4a: 0,y,z  
37: Ccc2 (unique axis: )
  1: 8d: x,y,z
  2: 4c: 1/4,1/4,z
  3: 4b: 0,1/2,z
  4: 4a: 0,0,z  
38: Amm2 (unique axis: )
  1: 8f: x,y,z
  2: 4e: 1/2,y,z
  3: 4d: 0,y,z
  4: 4c: x,0,z
  5: 2b: 1/2,0,z
  6: 2a: 0,0,z  
39: Aem2 (unique axis: )
  1: 8d: x,y,z
  2: 4c: x,1/4,z
  3: 4b: 1/2,0,z
  4: 4a: 0,0,z  
40: Ama2 (unique axis: )
  1: 8c: x,y,z
  2: 4b: 1/4,y,z
  3: 4a: 0,0,z  
41: Aea2 (unique axis: )
  1: 8b: x,y,z
  2: 4a: 0,0,z  
42: Fmm2 (unique axis: )
  1: 16e: x,y,z
  2: 8d: x,0,z
  3: 8c: 0,y,z
  4: 8b: 1/4,1/4,z
  5: 4a: 0,0,z  
43: Fdd2 (unique axis: )
  1: 16b: x,y,z
  2: 8a: 0,0,z  
44: Imm2 (unique axis: )
  1: 8e: x,y,z
  2: 4d: 0,y,z
  3: 4c: x,0,z
  4: 2b: 0,1/2,z
  5: 2a: 0,0,z  
45: Iba2 (unique axis: )
  1: 8c: x,y,z
  2: 4b: 0,1/2,z
  3: 4a: 0,0,z  
46: Ima2 (unique axis: )
  1: 8c: x,y,z
  2: 4b: 1/4,y,z
  3: 4a: 0,0,z  
47: Pmmm (unique axis: )
  1: 4z: x,y,1/2
  2: 4y: x,y,0
  3: 4x: x,1/2,z
  4: 4w: x,0,z
  5: 4v: 1/2,y,z
  6: 4u: 0,y,z
  7: 2t: 1/2,1/2,z
  8: 2s: 1/2,0,z
  9: 2r: 0,1/2,z
  10: 2q: 0,0,z
  11: 2p: 1/2,y,1/2
  12: 2o: 1/2,y,0
  13: 2n: 0,y,1/2
  14: 2m: 0,y,0
  15: 2l: x,1/2,1/2
  16: 2k: x,1/2,0
  17: 2j: x,0,1/2
  18: 2i: x,0,0
  19: 1h: 1/2,1/2,1/2
  20: 1g: 0,1/2,1/2
  21: 1f: 1/2,1/2,0
  22: 1e: 0,1/2,0
  23: 1d: 1/2,0,1/2
  24: 1c: 0,0,1/2
  25: 1b: 1/2,0,0
  26: 1a: 0,0,0
  27: 8A: x,y,z  
48: Pnnn (unique axis: )
  1: 8m: x,y,z
  2: 4l: 1/4,3/4,z
  3: 4k: 1/4,1/4,z
  4: 4j: 3/4,y,1/4
  5: 4i: 1/4,y,1/4
  6: 4h: x,1/4,3/4
  7: 4g: x,1/4,1/4
  8: 4f: 0,0,0
  9: 4e: 1/2,1/2,1/2
  10: 2d: 1/4,3/4,1/4
  11: 2c: 1/4,1/4,3/4
  12: 2b: 3/4,1/4,1/4
  13: 2a: 1/4,1/4,1/4  
49: Pccm (unique axis: )
  1: 8r: x,y,z
  2: 4q: x,y,0
  3: 4p: 1/2,0,z
  4: 4o: 0,1/2,z
  5: 4n: 1/2,1/2,z
  6: 4m: 0,0,z
  7: 4l: 1/2,y,1/4
  8: 4k: 0,y,1/4
  9: 4j: x,1/2,1/4
  10: 4i: x,0,1/4
  11: 2h: 1/2,1/2,1/4
  12: 2g: 0,1/2,1/4
  13: 2f: 1/2,0,1/4
  14: 2e: 0,0,1/4
  15: 2d: 1/2,0,0
  16: 2c: 0,1/2,0
  17: 2b: 1/2,1/2,0
  18: 2a: 0,0,0  
50: Pban (unique axis: )
  1: 8m: x,y,z
  2: 4l: 1/4,3/4,z
  3: 4k: 1/4,1/4,z
  4: 4j: 1/4,y,1/2
  5: 4i: 1/4,y,0
  6: 4h: x,1/4,1/2
  7: 4g: x,1/4,0
  8: 4f: 0,0,1/2
  9: 4e: 0,0,0
  10: 2d: 1/4,1/4,1/2
  11: 2c: 3/4,1/4,1/2
  12: 2b: 3/4,1/4,0
  13: 2a: 1/4,1/4,0  
51: Pmma (unique axis: )
  1: 8l: x,y,z
  2: 4k: 1/4,y,z
  3: 4j: x,1/2,z
  4: 4i: x,0,z
  5: 4h: 0,y,1/2
  6: 4g: 0,y,0
  7: 2f: 1/4,1/2,z
  8: 2e: 1/4,0,z
  9: 2d: 0,1/2,1/2
  10: 2c: 0,0,1/2
  11: 2b: 0,1/2,0
  12: 2a: 0,0,0  
52: Pnna (unique axis: )
  1: 8e: x,y,z
  2: 4d: x,1/4,1/4
  3: 4c: 1/4,0,z
  4: 4b: 0,0,1/2
  5: 4a: 0,0,0  
53: Pmna (unique axis: )
  1: 8i: x,y,z
  2: 4h: 0,y,z
  3: 4g: 1/4,y,1/4
  4: 4f: x,1/2,0
  5: 4e: x,0,0
  6: 2d: 0,1/2,0
  7: 2c: 1/2,1/2,0
  8: 2b: 1/2,0,0
  9: 2a: 0,0,0  
54: Pcca (unique axis: )
  1: 8f: x,y,z
  2: 4e: 1/4,1/2,z
  3: 4d: 1/4,0,z
  4: 4c: 0,y,1/4
  5: 4b: 0,1/2,0
  6: 4a: 0,0,0  
55: Pbam (unique axis: )
  1: 8i: x,y,z
  2: 4h: x,y,1/2
  3: 4g: x,y,0
  4: 4f: 0,1/2,z
  5: 4e: 0,0,z
  6: 2d: 0,1/2,1/2
  7: 2c: 0,1/2,0
  8: 2b: 0,0,1/2
  9: 2a: 0,0,0  
56: Pccn (unique axis: )
  1: 8e: x,y,z
  2: 4d: 1/4,3/4,z
  3: 4c: 1/4,1/4,z
  4: 4b: 0,0,1/2
  5: 4a: 0,0,0  
57: Pbcm (unique axis: )
  1: 8e: x,y,z
  2: 4d: x,y,1/4
  3: 4c: x,1/4,0
  4: 4b: 1/2,0,0
  5: 4a: 0,0,0  
58: Pnnm (unique axis: )
  1: 8h: x,y,z
  2: 4g: x,y,0
  3: 4f: 0,1/2,z
  4: 4e: 0,0,z
  5: 2d: 0,1/2,1/2
  6: 2c: 0,1/2,0
  7: 2b: 0,0,1/2
  8: 2a: 0,0,0  
59: Pmmn (unique axis: )
  1: 8g: x,y,z
  2: 4f: x,1/4,z
  3: 4e: 1/4,y,z
  4: 4d: 0,0,1/2
  5: 4c: 0,0,0
  6: 2b: 1/4,3/4,z
  7: 2a: 1/4,1/4,z  
60: Pbcn (unique axis: )
  1: 8d: x,y,z
  2: 4c: 0,y,1/4
  3: 4b: 0,1/2,0
  4: 4a: 0,0,0  
61: Pbca (unique axis: )
  1: 8c: x,y,z
  2: 4b: 0,0,1/2
  3: 4a: 0,0,0  
62: Pnma (unique axis: )
  1: 8d: x,y,z
  2: 4c: x,1/4,z
  3: 4b: 0,0,1/2
  4: 4a: 0,0,0  
63: Cmcm (unique axis: )
  1: 16h: x,y,z
  2: 8g: x,y,1/4
  3: 8f: 0,y,z
  4: 8e: x,0,0
  5: 8d: 1/4,1/4,0
  6: 4c: 0,y,1/4
  7: 4b: 0,1/2,0
  8: 4a: 0,0,0  
64: Cmce (unique axis: )
  1: 16g: x,y,z
  2: 8f: 0,y,z
  3: 8e: 1/4,y,1/4
  4: 8d: x,0,0
  5: 8c: 1/4,1/4,0
  6: 4b: 1/2,0,0
  7: 4a: 0,0,0  
65: Cmmm (unique axis: )
  1: 16r: x,y,z
  2: 8q: x,y,1/2
  3: 8p: x,y,0
  4: 8o: x,0,z
  5: 8n: 0,y,z
  6: 8m: 1/4,1/4,z
  7: 4l: 0,1/2,z
  8: 4k: 0,0,z
  9: 4j: 0,y,1/2
  10: 4i: 0,y,0
  11: 4h: x,0,1/2
  12: 4g: x,0,0
  13: 4f: 1/4,1/4,1/2
  14: 4e: 1/4,1/4,0
  15: 2d: 0,0,1/2
  16: 2c: 1/2,0,1/2
  17: 2b: 1/2,0,0
  18: 2a: 0,0,0  
66: Cccm (unique axis: )
  1: 16m: x,y,z
  2: 8l: x,y,0
  3: 8k: 1/4,1/4,z
  4: 8j: 0,1/2,z
  5: 8i: 0,0,z
  6: 8h: 0,y,1/4
  7: 8g: x,0,1/4
  8: 4f: 1/4,3/4,0
  9: 4e: 1/4,1/4,0
  10: 4d: 0,1/2,0
  11: 4c: 0,0,0
  12: 4b: 0,1/2,1/4
  13: 4a: 0,0,1/4  
67: Cmme (unique axis: )
  1: 16o: x,y,z
  2: 8n: x,1/4,z
  3: 8m: 0,y,z
  4: 8l: 1/4,0,z
  5: 8k: 1/4,y,1/2
  6: 8j: 1/4,y,0
  7: 8i: x,0,1/2
  8: 8h: x,0,0
  9: 4g: 0,1/4,z
  10: 4f: 1/4,1/4,1/2
  11: 4e: 1/4,1/4,0
  12: 4d: 0,0,1/2
  13: 4c: 0,0,0
  14: 4b: 1/4,0,1/2
  15: 4a: 1/4,0,0  
68: Ccce (unique axis: )
  1: 16i: x,y,z
  2: 8h: 1/4,0,z
  3: 8g: 0,1/4,z
  4: 8f: 0,y,1/4
  5: 8e: x,1/4,1/4
  6: 8d: 0,0,0
  7: 8c: 1/4,3/4,0
  8: 4b: 0,1/4,3/4
  9: 4a: 0,1/4,1/4  
69: Fmmm (unique axis: )
  1: 32p: x,y,z
  2: 16o: x,y,0
  3: 16n: x,0,z
  4: 16m: 0,y,z
  5: 16l: x,1/4,1/4
  6: 16k: 1/4,y,1/4
  7: 16j: 1/4,1/4,z
  8: 8i: 0,0,z
  9: 8h: 0,y,0
  10: 8g: x,0,0
  11: 8f: 1/4,1/4,1/4
  12: 8e: 1/4,1/4,0
  13: 8d: 1/4,0,1/4
  14: 8c: 0,1/4,1/4
  15: 4b: 0,0,1/2
  16: 4a: 0,0,0  
70: Fddd (unique axis: )
  1: 32h: x,y,z
  2: 16g: 1/8,1/8,z
  3: 16f: 1/8,y,1/8
  4: 16e: x,1/8,1/8
  5: 16d: 1/2,1/2,1/2
  6: 16c: 0,0,0
  7: 8b: 1/8,1/8,5/8
  8: 8a: 1/8,1/8,1/8  
71: Immm (unique axis: )
  1: 16o: x,y,z
  2: 8n: x,y,0
  3: 8m: x,0,z
  4: 8l: 0,y,z
  5: 8k: 1/4,1/4,1/4
  6: 4j: 1/2,0,z
  7: 4i: 0,0,z
  8: 4h: 0,y,1/2
  9: 4g: 0,y,0
  10: 4f: x,1/2,0
  11: 4e: x,0,0
  12: 2d: 1/2,0,1/2
  13: 2c: 1/2,1/2,0
  14: 2b: 0,1/2,1/2
  15: 2a: 0,0,0  
72: Ibam (unique axis: )
  1: 16k: x,y,z
  2: 8j: x,y,0
  3: 8i: 0,1/2,z
  4: 8h: 0,0,z
  5: 8g: 0,y,1/4
  6: 8f: x,0,1/4
  7: 8e: 1/4,1/4,1/4
  8: 4d: 1/2,0,0
  9: 4c: 0,0,0
  10: 4b: 1/2,0,1/4
  11: 4a: 0,0,1/4  
73: Ibca (unique axis: )
  1: 16f: x,y,z
  2: 8e: 0,1/4,z
  3: 8d: 1/4,y,0
  4: 8c: x,0,1/4
  5: 8b: 1/4,1/4,1/4
  6: 8a: 0,0,0  
74: Imma (unique axis: )
  1: 16j: x,y,z
  2: 8i: x,1/4,z
  3: 8h: 0,y,z
  4: 8g: 1/4,y,1/4
  5: 8f: x,0,0
  6: 4e: 0,1/4,z
  7: 4d: 1/4,1/4,3/4
  8: 4c: 1/4,1/4,1/4
  9: 4b: 0,0,1/2
  10: 4a: 0,0,0  
75: P4 (unique axis: )
  1: 4d: x,y,z
  2: 2c: 0,1/2,z
  3: 1b: 1/2,1/2,z
  4: 1a: 0,0,z  
76: P4<sub>1</sub> (unique axis: )
  1: 4a: x,y,z  
77: P4<sub>2</sub> (unique axis: )
  1: 4d: x,y,z
  2: 2c: 0,1/2,z
  3: 2b: 1/2,1/2,z
  4: 2a: 0,0,z  
78: P4<sub>3</sub> (unique axis: )
  1: 4a: x,y,z  
79: I4 (unique axis: )
  1: 8c: x,y,z
  2: 4b: 0,1/2,z
  3: 2a: 0,0,z  
80: I4<sub>1</sub> (unique axis: )
  1: 8b: x,y,z
  2: 4a: 0,0,z  
81: P-4 (unique axis: )
  1: 4h: x,y,z
  2: 2g: 0,1/2,z
  3: 2f: 1/2,1/2,z
  4: 2e: 0,0,z
  5: 1d: 1/2,1/2,1/2
  6: 1c: 1/2,1/2,0
  7: 1b: 0,0,1/2
  8: 1a: 0,0,0  
82: I-4 (unique axis: )
  1: 8g: x,y,z
  2: 4f: 0,1/2,z
  3: 4e: 0,0,z
  4: 2d: 0,1/2,3/4
  5: 2c: 0,1/2,1/4
  6: 2b: 0,0,1/2
  7: 2a: 0,0,0  
83: P4/m (unique axis: )
  1: 8l: x,y,z
  2: 4k: x,y,1/2
  3: 4j: x,y,0
  4: 4i: 0,1/2,z
  5: 2h: 1/2,1/2,z
  6: 2g: 0,0,z
  7: 2f: 0,1/2,1/2
  8: 2e: 0,1/2,0
  9: 1d: 1/2,1/2,1/2
  10: 1c: 1/2,1/2,0
  11: 1b: 0,0,1/2
  12: 1a: 0,0,0  
84: P4<sub>2</sub>/m (unique axis: )
  1: 8k: x,y,z
  2: 4j: x,y,0
  3: 4i: 0,1/2,z
  4: 4h: 1/2,1/2,z
  5: 4g: 0,0,z
  6: 2f: 1/2,1/2,1/4
  7: 2e: 0,0,1/4
  8: 2d: 0,1/2,1/2
  9: 2c: 0,1/2,0
  10: 2b: 1/2,1/2,0
  11: 2a: 0,0,0  
85: P4/n (unique axis: )
  1: 8g: x,y,z
  2: 4f: 1/4,3/4,z
  3: 4e: 0,0,1/2
  4: 4d: 0,0,0
  5: 2c: 1/4,1/4,z
  6: 2b: 1/4,3/4,1/2
  7: 2a: 1/4,3/4,0  
86: P4<sub>2</sub>/n (unique axis: )
  1: 8g: x,y,z
  2: 4f: 1/4,1/4,z
  3: 4e: 3/4,1/4,z
  4: 4d: 0,0,1/2
  5: 4c: 0,0,0
  6: 2b: 1/4,1/4,3/4
  7: 2a: 1/4,1/4,1/4  
87: I4/m (unique axis: )
  1: 16i: x,y,z
  2: 8h: x,y,0
  3: 8g: 0,1/2,z
  4: 8f: 1/4,1/4,1/4
  5: 4e: 0,0,z
  6: 4d: 0,1/2,1/4
  7: 4c: 0,1/2,0
  8: 2b: 0,0,1/2
  9: 2a: 0,0,0  
88: I4<sub>1</sub>/a (unique axis: )
  1: 16f: x,y,z
  2: 8e: 0,1/4,z
  3: 8d: 0,0,1/2
  4: 8c: 0,0,0
  5: 4b: 0,1/4,5/8
  6: 4a: 0,1/4,1/8  
89: P422 (unique axis: )
  1: 8p: x,y,z
  2: 4o: x,1/2,0
  3: 4n: x,0,1/2
  4: 4m: x,1/2,1/2
  5: 4l: x,0,0
  6: 4k: x,x,1/2
  7: 4j: x,x,0
  8: 4i: 0,1/2,z
  9: 2h: 1/2,1/2,z
  10: 2g: 0,0,z
  11: 2f: 1/2,0,1/2
  12: 2e: 1/2,0,0
  13: 1d: 1/2,1/2,1/2
  14: 1c: 1/2,1/2,0
  15: 1b: 0,0,1/2
  16: 1a: 0,0,0  
90: P42<sub>1</sub>2 (unique axis: )
  1: 8g: x,y,z
  2: 4f: x,x,1/2
  3: 4e: x,x,0
  4: 4d: 0,0,z
  5: 2c: 0,1/2,z
  6: 2b: 0,0,1/2
  7: 2a: 0,0,0  
91: P4<sub>1</sub>22 (unique axis: )
  1: 8d: x,y,z
  2: 4c: x,x,3/8
  3: 4b: 1/2,y,0
  4: 4a: 0,y,0  
92: P4<sub>1</sub>2<sub>1</sub>2 (unique axis: )
  1: 8b: x,y,z
  2: 4a: x,x,0  
93: P4<sub>2</sub>22 (unique axis: )
  1: 8p: x,y,z
  2: 4o: x,x,3/4
  3: 4n: x,x,1/4
  4: 4m: x,1/2,0
  5: 4l: x,0,1/2
  6: 4k: x,1/2,1/2
  7: 4j: x,0,0
  8: 4i: 0,1/2,z
  9: 4h: 1/2,1/2,z
  10: 4g: 0,0,z
  11: 2f: 1/2,1/2,1/4
  12: 2e: 0,0,1/4
  13: 2d: 0,1/2,1/2
  14: 2c: 0,1/2,0
  15: 2b: 1/2,1/2,0
  16: 2a: 0,0,0  
94: P4<sub>2</sub>2<sub>1</sub>2 (unique axis: )
  1: 8g: x,y,z
  2: 4f: x,x,1/2
  3: 4e: x,x,0
  4: 4d: 0,1/2,z
  5: 4c: 0,0,z
  6: 2b: 0,0,1/2
  7: 2a: 0,0,0  
95: P4<sub>3</sub>22 (unique axis: )
  1: 8d: x,y,z
  2: 4c: x,x,5/8
  3: 4b: 1/2,y,0
  4: 4a: 0,y,0  
96: P4<sub>3</sub>2<sub>1</sub>2 (unique axis: )
  1: 8b: x,y,z
  2: 4a: x,x,0  
97: I422 (unique axis: )
  1: 16k: x,y,z
  2: 8j: x,x+1/2,1/4
  3: 8i: x,0,1/2
  4: 8h: x,0,0
  5: 8g: x,x,0
  6: 8f: 0,1/2,z
  7: 4e: 0,0,z
  8: 4d: 0,1/2,1/4
  9: 4c: 0,1/2,0
  10: 2b: 0,0,1/2
  11: 2a: 0,0,0  
98: I4<sub>1</sub>22 (unique axis: )
  1: 16g: x,y,z
  2: 8f: x,1/4,1/8
  3: 8e: -x,x,0
  4: 8d: x,x,0
  5: 8c: 0,0,z
  6: 4b: 0,0,1/2
  7: 4a: 0,0,0  
99: P4mm (unique axis: )
  1: 8g: x,y,z
  2: 4f: x,1/2,z
  3: 4e: x,0,z
  4: 4d: x,x,z
  5: 2c: 1/2,0,z
  6: 1b: 1/2,1/2,z
  7: 1a: 0,0,z  
100: P4bm (unique axis: )
  1: 8d: x,y,z
  2: 4c: x,x+1/2,z
  3: 2b: 1/2,0,z
  4: 2a: 0,0,z  
101: P4<sub>2</sub>cm (unique axis: )
  1: 8e: x,y,z
  2: 4d: x,x,z
  3: 4c: 0,1/2,z
  4: 2b: 1/2,1/2,z
  5: 2a: 0,0,z  
102: P4<sub>2</sub>nm (unique axis: )
  1: 8d: x,y,z
  2: 4c: x,x,z
  3: 4b: 0,1/2,z
  4: 2a: 0,0,z  
103: P4cc (unique axis: )
  1: 8d: x,y,z
  2: 4c: 0,1/2,z
  3: 2b: 1/2,1/2,z
  4: 2a: 0,0,z  
104: P4nc (unique axis: )
  1: 8c: x,y,z
  2: 4b: 0,1/2,z
  3: 2a: 0,0,z  
105: P4<sub>2</sub>mc (unique axis: )
  1: 8f: x,y,z
  2: 4e: x,1/2,z
  3: 4d: x,0,z
  4: 2c: 0,1/2,z
  5: 2b: 1/2,1/2,z
  6: 2a: 0,0,z  
106: P4<sub>2</sub>bc (unique axis: )
  1: 8c: x,y,z
  2: 4b: 0,1/2,z
  3: 4a: 0,0,z  
107: I4mm (unique axis: )
  1: 16e: x,y,z
  2: 8d: x,0,z
  3: 8c: x,x,z
  4: 4b: 0,1/2,z
  5: 2a: 0,0,z  
108: I4cm (unique axis: )
  1: 16d: x,y,z
  2: 8c: x,x+1/2,z
  3: 4b: 1/2,0,z
  4: 4a: 0,0,z  
109: I4<sub>1</sub>md (unique axis: )
  1: 16c: x,y,z
  2: 8b: 0,y,z
  3: 4a: 0,0,z  
110: I4<sub>1</sub>cd (unique axis: )
  1: 16b: x,y,z
  2: 8a: 0,0,z  
111: P-42m (unique axis: )
  1: 8o: x,y,z
  2: 4n: x,x,z
  3: 4m: 0,1/2,z
  4: 4l: x,1/2,0
  5: 4k: x,0,1/2
  6: 4j: x,1/2,1/2
  7: 4i: x,0,0
  8: 2h: 1/2,1/2,z
  9: 2g: 0,0,z
  10: 2f: 1/2,0,1/2
  11: 2e: 1/2,0,0
  12: 1d: 1/2,1/2,0
  13: 1c: 0,0,1/2
  14: 1b: 1/2,1/2,1/2
  15: 1a: 0,0,0  
112: P-42c (unique axis: )
  1: 8n: x,y,z
  2: 4m: 0,1/2,z
  3: 4l: 1/2,1/2,z
  4: 4k: 0,0,z
  5: 4j: 0,y,1/4
  6: 4i: x,1/2,1/4
  7: 4h: 1/2,y,1/4
  8: 4g: x,0,1/4
  9: 2f: 1/2,1/2,0
  10: 2e: 0,0,0
  11: 2d: 0,1/2,1/4
  12: 2c: 1/2,1/2,1/4
  13: 2b: 1/2,0,1/4
  14: 2a: 0,0,1/4  
113: P-42<sub>1</sub>m (unique axis: )
  1: 8f: x,y,z
  2: 4e: x,x+1/2,z
  3: 4d: 0,0,z
  4: 2c: 0,1/2,z
  5: 2b: 0,0,1/2
  6: 2a: 0,0,0  
114: P-42<sub>1</sub>c (unique axis: )
  1: 8e: x,y,z
  2: 4d: 0,1/2,z
  3: 4c: 0,0,z
  4: 2b: 0,0,1/2
  5: 2a: 0,0,0  
115: P-4m2 (unique axis: )
  1: 8l: x,y,z
  2: 4k: x,1/2,z
  3: 4j: x,0,z
  4: 4i: x,x,1/2
  5: 4h: x,x,0
  6: 2g: 0,1/2,z
  7: 2f: 1/2,1/2,z
  8: 2e: 0,0,z
  9: 1d: 0,0,1/2
  10: 1c: 1/2,1/2,1/2
  11: 1b: 1/2,1/2,0
  12: 1a: 0,0,0  
116: P-4c2 (unique axis: )
  1: 8j: x,y,z
  2: 4i: 0,1/2,z
  3: 4h: 1/2,1/2,z
  4: 4g: 0,0,z
  5: 4f: x,x,3/4
  6: 4e: x,x,1/4
  7: 2d: 1/2,1/2,0
  8: 2c: 0,0,0
  9: 2b: 1/2,1/2,1/4
  10: 2a: 0,0,1/4  
117: P-4b2 (unique axis: )
  1: 8i: x,y,z
  2: 4h: x,x+1/2,1/2
  3: 4g: x,x+1/2,0
  4: 4f: 0,1/2,z
  5: 4e: 0,0,z
  6: 2d: 0,1/2,1/2
  7: 2c: 0,1/2,0
  8: 2b: 0,0,1/2
  9: 2a: 0,0,0  
118: P-4n2 (unique axis: )
  1: 8i: x,y,z
  2: 4h: 0,1/2,z
  3: 4g: x,x+1/2,1/4
  4: 4f: x,-x+1/2,1/4
  5: 4e: 0,0,z
  6: 2d: 0,1/2,3/4
  7: 2c: 0,1/2,1/4
  8: 2b: 0,0,1/2
  9: 2a: 0,0,0  
119: I-4m2 (unique axis: )
  1: 16j: x,y,z
  2: 8i: x,0,z
  3: 8h: x,x+1/2,1/4
  4: 8g: x,x,0
  5: 4f: 0,1/2,z
  6: 4e: 0,0,z
  7: 2d: 0,1/2,3/4
  8: 2c: 0,1/2,1/4
  9: 2b: 0,0,1/2
  10: 2a: 0,0,0  
120: I-4c2 (unique axis: )
  1: 16i: x,y,z
  2: 8h: x,x+1/2,0
  3: 8g: 0,1/2,z
  4: 8f: 0,0,z
  5: 8e: x,x,1/4
  6: 4d: 0,1/2,0
  7: 4c: 0,1/2,1/4
  8: 4b: 0,0,0
  9: 4a: 0,0,1/4  
121: I-42m (unique axis: )
  1: 16j: x,y,z
  2: 8i: x,x,z
  3: 8h: 0,1/2,z
  4: 8g: x,0,1/2
  5: 8f: x,0,0
  6: 4e: 0,0,z
  7: 4d: 0,1/2,1/4
  8: 4c: 0,1/2,0
  9: 2b: 0,0,1/2
  10: 2a: 0,0,0  
122: I-42d (unique axis: )
  1: 16e: x,y,z
  2: 8d: x,1/4,1/8
  3: 8c: 0,0,z
  4: 4b: 0,0,1/2
  5: 4a: 0,0,0  
123: P4/mmm (unique axis: )
  1: 16u: x,y,z
  2: 8t: x,1/2,z
  3: 8s: x,0,z
  4: 8r: x,x,z
  5: 8q: x,y,1/2
  6: 8p: x,y,0
  7: 4o: x,1/2,1/2
  8: 4n: x,1/2,0
  9: 4m: x,0,1/2
  10: 4l: x,0,0
  11: 4k: x,x,1/2
  12: 4j: x,x,0
  13: 4i: 0,1/2,z
  14: 2h: 1/2,1/2,z
  15: 2g: 0,0,z
  16: 2f: 0,1/2,0
  17: 2e: 0,1/2,1/2
  18: 1d: 1/2,1/2,1/2
  19: 1c: 1/2,1/2,0
  20: 1b: 0,0,1/2
  21: 1a: 0,0,0  
124: P4/mcc (unique axis: )
  1: 16n: x,y,z
  2: 8m: x,y,0
  3: 8l: x,1/2,1/4
  4: 8k: x,0,1/4
  5: 8j: x,x,1/4
  6: 8i: 0,1/2,z
  7: 4h: 1/2,1/2,z
  8: 4g: 0,0,z
  9: 4f: 0,1/2,1/4
  10: 4e: 0,1/2,0
  11: 2d: 1/2,1/2,0
  12: 2c: 1/2,1/2,1/4
  13: 2b: 0,0,0
  14: 2a: 0,0,1/4  
125: P4/nbm (unique axis: )
  1: 16n: x,y,z
  2: 8m: x,-x,z
  3: 8l: x,1/4,1/2
  4: 8k: x,1/4,0
  5: 8j: x,x,1/2
  6: 8i: x,x,0
  7: 4h: 3/4,1/4,z
  8: 4g: 1/4,1/4,z
  9: 4f: 0,0,1/2
  10: 4e: 0,0,0
  11: 2d: 3/4,1/4,1/2
  12: 2c: 3/4,1/4,0
  13: 2b: 1/4,1/4,1/2
  14: 2a: 1/4,1/4,0  
126: P4/nnc (unique axis: )
  1: 16k: x,y,z
  2: 8j: x,3/4,1/4
  3: 8i: x,1/4,1/4
  4: 8h: x,x,1/4
  5: 8g: 1/4,3/4,z
  6: 8f: 0,0,0
  7: 4e: 1/4,1/4,z
  8: 4d: 1/4,3/4,0
  9: 4c: 1/4,3/4,3/4
  10: 2b: 1/4,1/4,3/4
  11: 2a: 1/4,1/4,1/4  
127: P4/mbm (unique axis: )
  1: 16l: x,y,z
  2: 8k: x,x+1/2,z
  3: 8j: x,y,1/2
  4: 8i: x,y,0
  5: 4h: x,x+1/2,1/2
  6: 4g: x,x+1/2,0
  7: 4f: 0,1/2,z
  8: 4e: 0,0,z
  9: 2d: 0,1/2,0
  10: 2c: 0,1/2,1/2
  11: 2b: 0,0,1/2
  12: 2a: 0,0,0  
128: P4/mnc (unique axis: )
  1: 16i: x,y,z
  2: 8h: x,y,0
  3: 8g: x,x+1/2,1/4
  4: 8f: 0,1/2,z
  5: 4e: 0,0,z
  6: 4d: 0,1/2,1/4
  7: 4c: 0,1/2,0
  8: 2b: 0,0,1/2
  9: 2a: 0,0,0  
129: P4/nmm (unique axis: )
  1: 16k: x,y,z
  2: 8j: x,x,z
  3: 8i: 1/4,y,z
  4: 8h: x,-x,1/2
  5: 8g: x,-x,0
  6: 4f: 3/4,1/4,z
  7: 4e: 0,0,1/2
  8: 4d: 0,0,0
  9: 2c: 1/4,1/4,z
  10: 2b: 3/4,1/4,1/2
  11: 2a: 3/4,1/4,0  
130: P4/ncc (unique axis: )
  1: 16g: x,y,z
  2: 8f: x,-x,1/4
  3: 8e: 3/4,1/4,z
  4: 8d: 0,0,0
  5: 4c: 1/4,1/4,z
  6: 4b: 3/4,1/4,0
  7: 4a: 3/4,1/4,1/4  
131: P4<sub>2</sub>/mmc (unique axis: )
  1: 16r: x,y,z
  2: 8q: x,y,0
  3: 8p: 1/2,y,z
  4: 8o: 0,y,z
  5: 8n: x,x,1/4
  6: 4m: x,1/2,0
  7: 4l: x,0,1/2
  8: 4k: x,1/2,1/2
  9: 4j: x,0,0
  10: 4i: 0,1/2,z
  11: 4h: 1/2,1/2,z
  12: 4g: 0,0,z
  13: 2f: 1/2,1/2,1/4
  14: 2e: 0,0,1/4
  15: 2d: 0,1/2,1/2
  16: 2c: 0,1/2,0
  17: 2b: 1/2,1/2,0
  18: 2a: 0,0,0  
132: P4<sub>2</sub>/mcm (unique axis: )
  1: 16p: x,y,z
  2: 8o: x,x,z
  3: 8n: x,y,0
  4: 8m: x,1/2,1/4
  5: 8l: x,0,1/4
  6: 8k: 0,1/2,z
  7: 4j: x,x,1/2
  8: 4i: x,x,0
  9: 4h: 1/2,1/2,z
  10: 4g: 0,0,z
  11: 4f: 0,1/2,0
  12: 4e: 0,1/2,1/4
  13: 2d: 1/2,1/2,1/4
  14: 2c: 1/2,1/2,0
  15: 2b: 0,0,1/4
  16: 2a: 0,0,0  
133: P4<sub>2</sub>/nbc (unique axis: )
  1: 16k: x,y,z
  2: 8j: x,x,1/4
  3: 8i: x,1/4,1/2
  4: 8h: x,1/4,0
  5: 8g: 3/4,1/4,z
  6: 8f: 1/4,1/4,z
  7: 8e: 0,0,0
  8: 4d: 3/4,1/4,3/4
  9: 4c: 1/4,1/4,1/4
  10: 4b: 3/4,1/4,0
  11: 4a: 1/4,1/4,0  
134: P4<sub>2</sub>/nnm (unique axis: )
  1: 16n: x,y,z
  2: 8m: x,-x,z
  3: 8l: x,x,1/2
  4: 8k: x,x,0
  5: 8j: x,1/4,1/4
  6: 8i: x,1/4,3/4
  7: 8h: 1/4,1/4,z
  8: 4g: 3/4,1/4,z
  9: 4f: 0,0,0
  10: 4e: 0,0,1/2
  11: 4d: 1/4,1/4,0
  12: 4c: 1/4,1/4,1/4
  13: 2b: 3/4,1/4,1/4
  14: 2a: 1/4,3/4,1/4  
135: P4<sub>2</sub>/mbc (unique axis: )
  1: 16i: x,y,z
  2: 8h: x,y,0
  3: 8g: x,x+1/2,1/4
  4: 8f: 0,1/2,z
  5: 8e: 0,0,z
  6: 4d: 0,1/2,1/4
  7: 4c: 0,1/2,0
  8: 4b: 0,0,1/4
  9: 4a: 0,0,0  
136: P4<sub>2</sub>/mnm (unique axis: )
  1: 16k: x,y,z
  2: 8j: x,x,z
  3: 8i: x,y,0
  4: 8h: 0,1/2,z
  5: 4g: x,-x,0
  6: 4f: x,x,0
  7: 4e: 0,0,z
  8: 4d: 0,1/2,1/4
  9: 4c: 0,1/2,0
  10: 2b: 0,0,1/2
  11: 2a: 0,0,0  
137: P4<sub>2</sub>/nmc (unique axis: )
  1: 16h: x,y,z
  2: 8g: 1/4,y,z
  3: 8f: x,-x,1/4
  4: 8e: 0,0,0
  5: 4d: 1/4,1/4,z
  6: 4c: 3/4,1/4,z
  7: 2b: 3/4,1/4,1/4
  8: 2a: 3/4,1/4,3/4  
138: P4<sub>2</sub>/ncm (unique axis: )
  1: 16j: x,y,z
  2: 8i: x,x,z
  3: 8h: x,-x,0
  4: 8g: x,-x,1/2
  5: 8f: 3/4,1/4,z
  6: 4e: 1/4,1/4,z
  7: 4d: 0,0,0
  8: 4c: 0,0,1/2
  9: 4b: 3/4,1/4,3/4
  10: 4a: 3/4,1/4,0  
139: I4/mmm (unique axis: )
  1: 32o: x,y,z
  2: 16n: 0,y,z
  3: 16m: x,x,z
  4: 16l: x,y,0
  5: 16k: x,x+1/2,1/4
  6: 8j: x,1/2,0
  7: 8i: x,0,0
  8: 8h: x,x,0
  9: 8g: 0,1/2,z
  10: 8f: 1/4,1/4,1/4
  11: 4e: 0,0,z
  12: 4d: 0,1/2,1/4
  13: 4c: 0,1/2,0
  14: 2b: 0,0,1/2
  15: 2a: 0,0,0  
140: I4/mcm (unique axis: )
  1: 32m: x,y,z
  2: 16l: x,x+1/2,z
  3: 16k: x,y,0
  4: 16j: x,0,1/4
  5: 16i: x,x,1/4
  6: 8h: x,x+1/2,0
  7: 8g: 0,1/2,z
  8: 8f: 0,0,z
  9: 8e: 1/4,1/4,1/4
  10: 4d: 0,1/2,0
  11: 4c: 0,0,0
  12: 4b: 0,1/2,1/4
  13: 4a: 0,0,1/4  
141: I4<sub>1</sub>/amd (unique axis: )
  1: 32i: x,y,z
  2: 16h: 0,y,z
  3: 16g: x,x+1/4,7/8
  4: 16f: x,0,0
  5: 8e: 0,1/4,z
  6: 8d: 0,0,1/2
  7: 8c: 0,0,0
  8: 4b: 0,1/4,3/8
  9: 4a: 0,3/4,1/8  
142: I4<sub>1</sub>/acd (unique axis: )
  1: 32g: x,y,z
  2: 16f: x,x+1/4,1/8
  3: 16e: x,0,1/4
  4: 16d: 0,1/4,z
  5: 16c: 0,0,0
  6: 8b: 0,1/4,1/8
  7: 8a: 0,1/4,3/8  
143: P3 (unique axis: )
  1: 3d: x,y,z
  2: 1c: 2/3,1/3,z
  3: 1b: 1/3,2/3,z
  4: 1a: 0,0,z  
144: P3<sub>1</sub> (unique axis: )
  1: 3a: x,y,z  
145: P3<sub>2</sub> (unique axis: )
  1: 3a: x,y,z  
146: R3 (unique axis: )
  1: 9b: x,y,z
  2: 3a: 0,0,z  
147: P-3 (unique axis: )
  1: 6g: x,y,z
  2: 3f: 1/2,0,1/2
  3: 3e: 1/2,0,0
  4: 2d: 1/3,2/3,z
  5: 2c: 0,0,z
  6: 1b: 0,0,1/2
  7: 1a: 0,0,0  
148: R-3 (unique axis: )
  1: 18f: x,y,z
  2: 9e: 1/2,0,0
  3: 9d: 1/2,0,1/2
  4: 6c: 0,0,z
  5: 3b: 0,0,1/2
  6: 3a: 0,0,0  
149: P312 (unique axis: )
  1: 6l: x,y,z
  2: 3k: x,-x,1/2
  3: 3j: x,-x,0
  4: 2i: 2/3,1/3,z
  5: 2h: 1/3,2/3,z
  6: 2g: 0,0,z
  7: 1f: 2/3,1/3,1/2
  8: 1e: 2/3,1/3,0
  9: 1d: 1/3,2/3,1/2
  10: 1c: 1/3,2/3,0
  11: 1b: 0,0,1/2
  12: 1a: 0,0,0  
150: P321 (unique axis: )
  1: 6g: x,y,z
  2: 3f: x,0,1/2
  3: 3e: x,0,0
  4: 2d: 1/3,2/3,z
  5: 2c: 0,0,z
  6: 1b: 0,0,1/2
  7: 1a: 0,0,0  
151: P3<sub>1</sub>12 (unique axis: )
  1: 6c: x,y,z
  2: 3b: x,-x,5/6
  3: 3a: x,-x,1/3  
152: P3<sub>1</sub>21 (unique axis: )
  1: 6c: x,y,z
  2: 3b: x,0,5/6
  3: 3a: x,0,1/3  
153: P3<sub>2</sub>12 (unique axis: )
  1: 6c: x,y,z
  2: 3b: x,-x,1/6
  3: 3a: x,-x,2/3  
154: P3<sub>2</sub>21 (unique axis: )
  1: 6c: x,y,z
  2: 3b: x,0,1/6
  3: 3a: x,0,2/3  
155: R32 (unique axis: )
  1: 18f: x,y,z
  2: 9e: x,0,1/2
  3: 9d: x,0,0
  4: 6c: 0,0,z
  5: 3b: 0,0,1/2
  6: 3a: 0,0,0  
156: P3m1 (unique axis: )
  1: 6e: x,y,z
  2: 3d: x,-x,z
  3: 1c: 2/3,1/3,z
  4: 1b: 1/3,2/3,z
  5: 1a: 0,0,z  
157: P31m (unique axis: )
  1: 6d: x,y,z
  2: 3c: x,0,z
  3: 2b: 1/3,2/3,z
  4: 1a: 0,0,z  
158: P3c1 (unique axis: )
  1: 6d: x,y,z
  2: 2c: 2/3,1/3,z
  3: 2b: 1/3,2/3,z
  4: 2a: 0,0,z  
159: P31c (unique axis: )
  1: 6c: x,y,z
  2: 2b: 1/3,2/3,z
  3: 2a: 0,0,z  
160: R3m (unique axis: )
  1: 18c: x,y,z
  2: 9b: x,-x,z
  3: 3a: 0,0,z  
161: R3c (unique axis: )
  1: 18b: x,y,z
  2: 6a: 0,0,z  
162: P-31m (unique axis: )
  1: 12l: x,y,z
  2: 6k: x,0,z
  3: 6j: x,-x,1/2
  4: 6i: x,-x,0
  5: 4h: 1/3,2/3,z
  6: 3g: 1/2,0,1/2
  7: 3f: 1/2,0,0
  8: 2e: 0,0,z
  9: 2d: 1/3,2/3,1/2
  10: 2c: 1/3,2/3,0
  11: 1b: 0,0,1/2
  12: 1a: 0,0,0  
163: P-31c (unique axis: )
  1: 12i: x,y,z
  2: 6h: x,-x,1/4
  3: 6g: 1/2,0,0
  4: 4f: 1/3,2/3,z
  5: 4e: 0,0,z
  6: 2d: 2/3,1/3,1/4
  7: 2c: 1/3,2/3,1/4
  8: 2b: 0,0,0
  9: 2a: 0,0,1/4  
164: P-3m1 (unique axis: )
  1: 12j: x,y,z
  2: 6i: x,-x,z
  3: 6h: x,0,1/2
  4: 6g: x,0,0
  5: 3f: 1/2,0,1/2
  6: 3e: 1/2,0,0
  7: 2d: 1/3,2/3,z
  8: 2c: 0,0,z
  9: 1b: 0,0,1/2
  10: 1a: 0,0,0  
165: P-3c1 (unique axis: )
  1: 12g: x,y,z
  2: 6f: x,0,1/4
  3: 6e: 1/2,0,0
  4: 4d: 1/3,2/3,z
  5: 4c: 0,0,z
  6: 2b: 0,0,0
  7: 2a: 0,0,1/4  
166: R-3m (unique axis: )
  1: 36i: x,y,z
  2: 18h: x,-x,z
  3: 18g: x,0,1/2
  4: 18f: x,0,0
  5: 9e: 1/2,0,0
  6: 9d: 1/2,0,1/2
  7: 6c: 0,0,z
  8: 3b: 0,0,1/2
  9: 3a: 0,0,0  
167: R-3c (unique axis: )
  1: 36f: x,y,z
  2: 18e: x,0,1/4
  3: 18d: 1/2,0,0
  4: 12c: 0,0,z
  5: 6b: 0,0,0
  6: 6a: 0,0,1/4  
168: P6 (unique axis: )
  1: 6d: x,y,z
  2: 3c: 1/2,0,z
  3: 2b: 1/3,2/3,z
  4: 1a: 0,0,z  
169: P6<sub>1</sub> (unique axis: )
  1: 6a: x,y,z  
170: P6<sub>5</sub> (unique axis: )
  1: 6a: x,y,z  
171: P6<sub>2</sub> (unique axis: )
  1: 6c: x,y,z
  2: 3b: 1/2,1/2,z
  3: 3a: 0,0,z  
172: P6<sub>4</sub> (unique axis: )
  1: 6c: x,y,z
  2: 3b: 1/2,1/2,z
  3: 3a: 0,0,z  
173: P6<sub>3</sub> (unique axis: )
  1: 6c: x,y,z
  2: 2b: 1/3,2/3,z
  3: 2a: 0,0,z  
174: P-6 (unique axis: )
  1: 6l: x,y,z
  2: 3k: x,y,1/2
  3: 3j: x,y,0
  4: 2i: 2/3,1/3,z
  5: 2h: 1/3,2/3,z
  6: 2g: 0,0,z
  7: 1f: 2/3,1/3,1/2
  8: 1e: 2/3,1/3,0
  9: 1d: 1/3,2/3,1/2
  10: 1c: 1/3,2/3,0
  11: 1b: 0,0,1/2
  12: 1a: 0,0,0  
175: P6/m (unique axis: )
  1: 12l: x,y,z
  2: 6k: x,y,1/2
  3: 6j: x,y,0
  4: 6i: 1/2,0,z
  5: 4h: 1/3,2/3,z
  6: 3g: 1/2,0,1/2
  7: 3f: 1/2,0,0
  8: 2e: 0,0,z
  9: 2d: 1/3,2/3,1/2
  10: 2c: 1/3,2/3,0
  11: 1b: 0,0,1/2
  12: 1a: 0,0,0  
176: P6<sub>3</sub>/m (unique axis: )
  1: 12i: x,y,z
  2: 6h: x,y,1/4
  3: 6g: 1/2,0,0
  4: 4f: 1/3,2/3,z
  5: 4e: 0,0,z
  6: 2d: 2/3,1/3,1/4
  7: 2c: 1/3,2/3,1/4
  8: 2b: 0,0,0
  9: 2a: 0,0,1/4  
177: P622 (unique axis: )
  1: 12n: x,y,z
  2: 6m: x,-x,1/2
  3: 6l: x,-x,0
  4: 6k: x,0,1/2
  5: 6j: x,0,0
  6: 6i: 1/2,0,z
  7: 4h: 1/3,2/3,z
  8: 3g: 1/2,0,1/2
  9: 3f: 1/2,0,0
  10: 2e: 0,0,z
  11: 2d: 1/3,2/3,1/2
  12: 2c: 1/3,2/3,0
  13: 1b: 0,0,1/2
  14: 1a: 0,0,0  
178: P6<sub>1</sub>22 (unique axis: )
  1: 12c: x,y,z
  2: 6b: x,2x,1/4
  3: 6a: x,0,0  
179: P6<sub>5</sub>22 (unique axis: )
  1: 12c: x,y,z
  2: 6b: x,2x,3/4
  3: 6a: x,0,0  
180: P6<sub>2</sub>22 (unique axis: )
  1: 12k: x,y,z
  2: 6j: x,2x,1/2
  3: 6i: x,2x,0
  4: 6h: x,0,1/2
  5: 6g: x,0,0
  6: 6f: 1/2,0,z
  7: 6e: 0,0,z
  8: 3d: 1/2,0,1/2
  9: 3c: 1/2,0,0
  10: 3b: 0,0,1/2
  11: 3a: 0,0,0  
181: P6<sub>4</sub>22 (unique axis: )
  1: 12k: x,y,z
  2: 6j: x,2x,1/2
  3: 6i: x,2x,0
  4: 6h: x,0,1/2
  5: 6g: x,0,0
  6: 6f: 1/2,0,z
  7: 6e: 0,0,z
  8: 3d: 1/2,0,1/2
  9: 3c: 1/2,0,0
  10: 3b: 0,0,1/2
  11: 3a: 0,0,0  
182: P6<sub>3</sub>22 (unique axis: )
  1: 12i: x,y,z
  2: 6h: x,2x,1/4
  3: 6g: x,0,0
  4: 4f: 1/3,2/3,z
  5: 4e: 0,0,z
  6: 2d: 1/3,2/3,3/4
  7: 2c: 1/3,2/3,1/4
  8: 2b: 0,0,1/4
  9: 2a: 0,0,0  
183: P6mm (unique axis: )
  1: 12f: x,y,z
  2: 6e: x,-x,z
  3: 6d: x,0,z
  4: 3c: 1/2,0,z
  5: 2b: 1/3,2/3,z
  6: 1a: 0,0,z  
184: P6cc (unique axis: )
  1: 12d: x,y,z
  2: 6c: 1/2,0,z
  3: 4b: 1/3,2/3,z
  4: 2a: 0,0,z  
185: P6<sub>3</sub>cm (unique axis: )
  1: 12d: x,y,z
  2: 6c: x,0,z
  3: 4b: 1/3,2/3,z
  4: 2a: 0,0,z  
186: P6<sub>3</sub>mc (unique axis: )
  1: 12d: x,y,z
  2: 6c: x,-x,z
  3: 2b: 1/3,2/3,z
  4: 2a: 0,0,z  
187: P-6m2 (unique axis: )
  1: 12o: x,y,z
  2: 6n: x,-x,z
  3: 6m: x,y,1/2
  4: 6l: x,y,0
  5: 3k: x,-x,1/2
  6: 3j: x,-x,0
  7: 2i: 2/3,1/3,z
  8: 2h: 1/3,2/3,z
  9: 2g: 0,0,z
  10: 1f: 2/3,1/3,1/2
  11: 1e: 2/3,1/3,0
  12: 1d: 1/3,2/3,1/2
  13: 1c: 1/3,2/3,0
  14: 1b: 0,0,1/2
  15: 1a: 0,0,0  
188: P-6c2 (unique axis: )
  1: 12l: x,y,z
  2: 6k: x,y,1/4
  3: 6j: x,-x,0
  4: 4i: 2/3,1/3,z
  5: 4h: 1/3,2/3,z
  6: 4g: 0,0,z
  7: 2f: 2/3,1/3,1/4
  8: 2e: 2/3,1/3,0
  9: 2d: 1/3,2/3,1/4
  10: 2c: 1/3,2/3,0
  11: 2b: 0,0,1/4
  12: 2a: 0,0,0  
189: P-62m (unique axis: )
  1: 12l: x,y,z
  2: 6k: x,y,1/2
  3: 6j: x,y,0
  4: 6i: x,0,z
  5: 4h: 1/3,2/3,z
  6: 3g: x,0,1/2
  7: 3f: x,0,0
  8: 2e: 0,0,z
  9: 2d: 1/3,2/3,1/2
  10: 2c: 1/3,2/3,0
  11: 1b: 0,0,1/2
  12: 1a: 0,0,0  
190: P-62c (unique axis: )
  1: 12i: x,y,z
  2: 6h: x,y,1/4
  3: 6g: x,0,0
  4: 4f: 1/3,2/3,z
  5: 4e: 0,0,z
  6: 2d: 2/3,1/3,1/4
  7: 2c: 1/3,2/3,1/4
  8: 2b: 0,0,1/4
  9: 2a: 0,0,0  
191: P6/mmm (unique axis: )
  1: 24r: x,y,z
  2: 12q: x,y,1/2
  3: 12p: x,y,0
  4: 12o: x,2x,z
  5: 12n: x,0,z
  6: 6m: x,2x,1/2
  7: 6l: x,2x,0
  8: 6k: x,0,1/2
  9: 6j: x,0,0
  10: 6i: 1/2,0,z
  11: 4h: 1/3,2/3,z
  12: 3g: 1/2,0,1/2
  13: 3f: 1/2,0,0
  14: 2e: 0,0,z
  15: 2d: 1/3,2/3,1/2
  16: 2c: 1/3,2/3,0
  17: 1b: 0,0,1/2
  18: 1a: 0,0,0  
192: P6/mcc (unique axis: )
  1: 24m: x,y,z
  2: 12l: x,y,0
  3: 12k: x,2x,1/4
  4: 12j: x,0,1/4
  5: 12i: 1/2,0,z
  6: 8h: 1/3,2/3,z
  7: 6g: 1/2,0,0
  8: 6f: 1/2,0,1/4
  9: 4e: 0,0,z
  10: 4d: 1/3,2/3,0
  11: 4c: 1/3,2/3,1/4
  12: 2b: 0,0,0
  13: 2a: 0,0,1/4  
193: P6<sub>3</sub>/mcm (unique axis: )
  1: 24l: x,y,z
  2: 12k: x,0,z
  3: 12j: x,y,1/4
  4: 12i: x,2x,0
  5: 8h: 1/3,2/3,z
  6: 6g: x,0,1/4
  7: 6f: 1/2,0,0
  8: 4e: 0,0,z
  9: 4d: 1/3,2/3,0
  10: 4c: 1/3,2/3,1/4
  11: 2b: 0,0,0
  12: 2a: 0,0,1/4  
194: P6<sub>3</sub>/mmc (unique axis: )
  1: 24l: x,y,z
  2: 12k: x,2x,z
  3: 12j: x,y,1/4
  4: 12i: x,0,0
  5: 6h: x,2x,1/4
  6: 6g: 1/2,0,0
  7: 4f: 1/3,2/3,z
  8: 4e: 0,0,z
  9: 2d: 1/3,2/3,3/4
  10: 2c: 1/3,2/3,1/4
  11: 2b: 0,0,1/4
  12: 2a: 0,0,0  
195: P23 (unique axis: )
  1: 12j: x,y,z
  2: 6i: x,1/2,1/2
  3: 6h: x,1/2,0
  4: 6g: x,0,1/2
  5: 6f: x,0,0
  6: 4e: x,x,x
  7: 3d: 1/2,0,0
  8: 3c: 0,1/2,1/2
  9: 1b: 1/2,1/2,1/2
  10: 1a: 0,0,0  
196: F23 (unique axis: )
  1: 48h: x,y,z
  2: 24g: x,1/4,1/4
  3: 24f: x,0,0
  4: 16e: x,x,x
  5: 4d: 3/4,3/4,3/4
  6: 4c: 1/4,1/4,1/4
  7: 4b: 1/2,1/2,1/2
  8: 4a: 0,0,0  
197: I23 (unique axis: )
  1: 24f: x,y,z
  2: 12e: x,1/2,0
  3: 12d: x,0,0
  4: 8c: x,x,x
  5: 6b: 0,1/2,1/2
  6: 2a: 0,0,0  
198: P2<sub>1</sub>3 (unique axis: )
  1: 12b: x,y,z
  2: 4a: x,x,x  
199: I2<sub>1</sub>3 (unique axis: )
  1: 24c: x,y,z
  2: 12b: x,0,1/4
  3: 8a: x,x,x  
200: Pm-3 (unique axis: )
  1: 24l: x,y,z
  2: 12k: 1/2,y,z
  3: 12j: 0,y,z
  4: 8i: x,x,x
  5: 6h: x,1/2,1/2
  6: 6g: x,1/2,0
  7: 6f: x,0,1/2
  8: 6e: x,0,0
  9: 3d: 1/2,0,0
  10: 3c: 0,1/2,1/2
  11: 1b: 1/2,1/2,1/2
  12: 1a: 0,0,0  
201: Pn-3 (unique axis: )
  1: 24h: x,y,z
  2: 12g: x,3/4,1/4
  3: 12f: x,1/4,1/4
  4: 8e: x,x,x
  5: 6d: 1/4,3/4,3/4
  6: 4c: 1/2,1/2,1/2
  7: 4b: 0,0,0
  8: 2a: 1/4,1/4,1/4  
202: Fm-3 (unique axis: )
  1: 96i: x,y,z
  2: 48h: 0,y,z
  3: 48g: x,1/4,1/4
  4: 32f: x,x,x
  5: 24e: x,0,0
  6: 24d: 0,1/4,1/4
  7: 8c: 1/4,1/4,1/4
  8: 4b: 1/2,1/2,1/2
  9: 4a: 0,0,0  
203: Fd-3 (unique axis: )
  1: 96g: x,y,z
  2: 48f: x,1/8,1/8
  3: 32e: x,x,x
  4: 16d: 1/2,1/2,1/2
  5: 16c: 0,0,0
  6: 8b: 5/8,5/8,5/8
  7: 8a: 1/8,1/8,1/8  
204: Im-3 (unique axis: )
  1: 48h: x,y,z
  2: 24g: 0,y,z
  3: 16f: x,x,x
  4: 12e: x,0,1/2
  5: 12d: x,0,0
  6: 8c: 1/4,1/4,1/4
  7: 6b: 0,1/2,1/2
  8: 2a: 0,0,0  
205: Pa-3 (unique axis: )
  1: 24d: x,y,z
  2: 8c: x,x,x
  3: 4b: 1/2,1/2,1/2
  4: 4a: 0,0,0  
206: Ia-3 (unique axis: )
  1: 48e: x,y,z
  2: 24d: x,0,1/4
  3: 16c: x,x,x
  4: 8b: 1/4,1/4,1/4
  5: 8a: 0,0,0  
207: P432 (unique axis: )
  1: 24k: x,y,z
  2: 12j: 1/2,y,y
  3: 12i: 0,y,y
  4: 12h: x,1/2,0
  5: 8g: x,x,x
  6: 6f: x,1/2,1/2
  7: 6e: x,0,0
  8: 3d: 1/2,0,0
  9: 3c: 0,1/2,1/2
  10: 1b: 1/2,1/2,1/2
  11: 1a: 0,0,0  
208: P4<sub>2</sub>32 (unique axis: )
  1: 24m: x,y,z
  2: 12l: 1/4,y,y+1/2
  3: 12k: 1/4,y,-y+1/2
  4: 12j: x,1/2,0
  5: 12i: x,0,1/2
  6: 12h: x,0,0
  7: 8g: x,x,x
  8: 6f: 1/4,1/2,0
  9: 6e: 1/4,0,1/2
  10: 6d: 0,1/2,1/2
  11: 4c: 3/4,3/4,3/4
  12: 4b: 1/4,1/4,1/4
  13: 2a: 0,0,0  
209: F432 (unique axis: )
  1: 96j: x,y,z
  2: 48i: x,1/4,1/4
  3: 48h: 1/2,y,y
  4: 48g: 0,y,y
  5: 32f: x,x,x
  6: 24e: x,0,0
  7: 24d: 0,1/4,1/4
  8: 8c: 1/4,1/4,1/4
  9: 4b: 1/2,1/2,1/2
  10: 4a: 0,0,0  
210: F4<sub>1</sub>32 (unique axis: )
  1: 96h: x,y,z
  2: 48g: 1/8,y,-y+1/4
  3: 48f: x,0,0
  4: 32e: x,x,x
  5: 16d: 5/8,5/8,5/8
  6: 16c: 1/8,1/8,1/8
  7: 8b: 1/2,1/2,1/2
  8: 8a: 0,0,0  
211: I432 (unique axis: )
  1: 48j: x,y,z
  2: 24i: 1/4,y,-y+1/2
  3: 24h: 0,y,y
  4: 24g: x,1/2,0
  5: 16f: x,x,x
  6: 12e: x,0,0
  7: 12d: 1/4,1/2,0
  8: 8c: 1/4,1/4,1/4
  9: 6b: 0,1/2,1/2
  10: 2a: 0,0,0  
212: P4<sub>3</sub>32 (unique axis: )
  1: 24e: x,y,z
  2: 12d: 1/8,y,-y+1/4
  3: 8c: x,x,x
  4: 4b: 5/8,5/8,5/8
  5: 4a: 1/8,1/8,1/8  
213: P4<sub>1</sub>32 (unique axis: )
  1: 24e: x,y,z
  2: 12d: 1/8,y,y+1/4
  3: 8c: x,x,x
  4: 4b: 7/8,7/8,7/8
  5: 4a: 3/8,3/8,3/8  
214: I4<sub>1</sub>32 (unique axis: )
  1: 48i: x,y,z
  2: 24h: 1/8,y,-y+1/4
  3: 24g: 1/8,y,y+1/4
  4: 24f: x,0,1/4
  5: 16e: x,x,x
  6: 12d: 5/8,0,1/4
  7: 12c: 1/8,0,1/4
  8: 8b: 7/8,7/8,7/8
  9: 8a: 1/8,1/8,1/8  
215: P-43m (unique axis: )
  1: 24j: x,y,z
  2: 12i: x,x,z
  3: 12h: x,1/2,0
  4: 6g: x,1/2,1/2
  5: 6f: x,0,0
  6: 4e: x,x,x
  7: 3d: 1/2,0,0
  8: 3c: 0,1/2,1/2
  9: 1b: 1/2,1/2,1/2
  10: 1a: 0,0,0  
216: F-43m (unique axis: )
  1: 96i: x,y,z
  2: 48h: x,x,z
  3: 24g: x,1/4,1/4
  4: 24f: x,0,0
  5: 16e: x,x,x
  6: 4d: 3/4,3/4,3/4
  7: 4c: 1/4,1/4,1/4
  8: 4b: 1/2,1/2,1/2
  9: 4a: 0,0,0  
217: I-43m (unique axis: )
  1: 48h: x,y,z
  2: 24g: x,x,z
  3: 24f: x,1/2,0
  4: 12e: x,0,0
  5: 12d: 1/4,1/2,0
  6: 8c: x,x,x
  7: 6b: 0,1/2,1/2
  8: 2a: 0,0,0  
218: P-43n (unique axis: )
  1: 24i: x,y,z
  2: 12h: x,0,1/2
  3: 12g: x,1/2,0
  4: 12f: x,0,0
  5: 8e: x,x,x
  6: 6d: 1/4,0,1/2
  7: 6c: 1/4,1/2,0
  8: 6b: 0,1/2,1/2
  9: 2a: 0,0,0  
219: F-43c (unique axis: )
  1: 96h: x,y,z
  2: 48g: x,1/4,1/4
  3: 48f: x,0,0
  4: 32e: x,x,x
  5: 24d: 1/4,0,0
  6: 24c: 0,1/4,1/4
  7: 8b: 1/4,1/4,1/4
  8: 8a: 0,0,0  
220: I-43d (unique axis: )
  1: 48e: x,y,z
  2: 24d: x,0,1/4
  3: 16c: x,x,x
  4: 12b: 7/8,0,1/4
  5: 12a: 3/8,0,1/4  
221: Pm-3m (unique axis: )
  1: 48n: x,y,z
  2: 24m: x,x,z
  3: 24l: 1/2,y,z
  4: 24k: 0,y,z
  5: 12j: 1/2,y,y
  6: 12i: 0,y,y
  7: 12h: x,1/2,0
  8: 8g: x,x,x
  9: 6f: x,1/2,1/2
  10: 6e: x,0,0
  11: 3d: 1/2,0,0
  12: 3c: 0,1/2,1/2
  13: 1b: 1/2,1/2,1/2
  14: 1a: 0,0,0  
222: Pn-3n (unique axis: )
  1: 48i: x,y,z
  2: 24h: 1/4,y,y
  3: 24g: x,3/4,1/4
  4: 16f: x,x,x
  5: 12e: x,1/4,1/4
  6: 12d: 0,3/4,1/4
  7: 8c: 0,0,0
  8: 6b: 3/4,1/4,1/4
  9: 2a: 1/4,1/4,1/4  
223: Pm-3n (unique axis: )
  1: 48l: x,y,z
  2: 24k: 0,y,z
  3: 24j: 1/4,y,y+1/2
  4: 16i: x,x,x
  5: 12h: x,1/2,0
  6: 12g: x,0,1/2
  7: 12f: x,0,0
  8: 8e: 1/4,1/4,1/4
  9: 6d: 1/4,1/2,0
  10: 6c: 1/4,0,1/2
  11: 6b: 0,1/2,1/2
  12: 2a: 0,0,0  
224: Pn-3m (unique axis: )
  1: 48l: x,y,z
  2: 24k: x,x,z
  3: 24j: 1/2,y,-y
  4: 24i: 1/2,y,y+1/2
  5: 24h: x,1/4,3/4
  6: 12g: x,1/4,1/4
  7: 12f: 1/2,1/4,3/4
  8: 8e: x,x,x
  9: 6d: 1/4,3/4,3/4
  10: 4c: 1/2,1/2,1/2
  11: 4b: 0,0,0
  12: 2a: 1/4,1/4,1/4  
225: Fm-3m (unique axis: )
  1: 192l: x,y,z
  2: 96k: x,x,z
  3: 96j: 0,y,z
  4: 48i: 1/2,y,y
  5: 48h: 0,y,y
  6: 48g: x,1/4,1/4
  7: 32f: x,x,x
  8: 24e: x,0,0
  9: 24d: 0,1/4,1/4
  10: 8c: 1/4,1/4,1/4
  11: 4b: 1/2,1/2,1/2
  12: 4a: 0,0,0  
226: Fm-3c (unique axis: )
  1: 192j: x,y,z
  2: 96i: 0,y,z
  3: 96h: 1/4,y,y
  4: 64g: x,x,x
  5: 48f: x,1/4,1/4
  6: 48e: x,0,0
  7: 24d: 0,1/4,1/4
  8: 24c: 1/4,0,0
  9: 8b: 0,0,0
  10: 8a: 1/4,1/4,1/4  
227: Fd-3m (unique axis: )
  1: 192i: x,y,z
  2: 96h: 0,y,-y
  3: 96g: x,x,z
  4: 48f: x,1/8,1/8
  5: 32e: x,x,x
  6: 16d: 1/2,1/2,1/2
  7: 16c: 0,0,0
  8: 8b: 3/8,3/8,3/8
  9: 8a: 1/8,1/8,1/8  
228: Fd-3c (unique axis: )
  1: 192h: x,y,z
  2: 96g: 1/4,y,-y
  3: 96f: x,1/8,1/8
  4: 64e: x,x,x
  5: 48d: 7/8,1/8,1/8
  6: 32c: 0,0,0
  7: 32b: 1/4,1/4,1/4
  8: 16a: 1/8,1/8,1/8  
229: Im-3m (unique axis: )
  1: 96l: x,y,z
  2: 48k: x,x,z
  3: 48j: 0,y,z
  4: 48i: 1/4,y,-y+1/2
  5: 24h: 0,y,y
  6: 24g: x,0,1/2
  7: 16f: x,x,x
  8: 12e: x,0,0
  9: 12d: 1/4,0,1/2
  10: 8c: 1/4,1/4,1/4
  11: 6b: 0,1/2,1/2
  12: 2a: 0,0,0  
230: Ia-3d (unique axis: )
  1: 96h: x,y,z
  2: 48g: 1/8,y,-y+1/4
  3: 48f: x,0,1/4
  4: 32e: x,x,x
  5: 24d: 3/8,0,1/4
  6: 24c: 1/8,0,1/4
  7: 16b: 1/8,1/8,1/8
  8: 16a: 0,0,0