Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); (2); (4); (7)
Multiplicity, Wyckoff letter,
Site symmetry | Coordinates |
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| | (1) x, y, z | (2) -y, x - y, z | (3) -x + y, -x, z | | (4) x, y, -z + 1/2 | (5) -y, x - y, -z + 1/2 | (6) -x + y, -x, -z + 1/2 | | (7) y, x, -z | (8) x - y, -y, -z | (9) -x, -x + y, -z | | (10) y, x, z + 1/2 | (11) x - y, -y, z + 1/2 | (12) -x, -x + y, z + 1/2 |
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I Maximal translationengleiche subgroups
| [2] P-611 (174, P-6) | 1; 2; 3; 4; 5; 6 |
| 0, 0, 1/4
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| [2] P31c (159) | 1; 2; 3; 10; 11; 12 |
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| [2] P321 (150) | 1; 2; 3; 7; 8; 9 |
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 | [3] Pm2c (40, Ama2) | 1; 4; 7; 10 | c, -a + b, -a - b
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| | [3] Pm2c (40, Ama2) | 1; 4; 8; 11 | c, -a - 2b, a
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| | [3] Pm2c (40, Ama2) | 1; 4; 9; 12 | c, 2a + b, b
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II Maximal klassengleiche subgroups
[3] c' = 3c
| P-62c (190) | <2; 7; 4 + (0, 0, 1)> | a, b, 3c | | | P-62c (190) | <2; 4 + (0, 0, 3); 7 + (0, 0, 2)> | a, b, 3c | 0, 0, 1 | | P-62c (190) | <2; 4 + (0, 0, 5); 7 + (0, 0, 4)> | a, b, 3c | 0, 0, 2 |
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[3] a' = 3a, b' = 3b
| H-62c (188, P-6c2) | <2; 4; 7> | a - b, a + 2b, c | |
[4] a' = 2a, b' = 2b
 | P-62c (190) | <2; 4; 7> | 2a, 2b, c | | | P-62c (190) | <4; (2; 7) + (1, -1, 0)> | 2a, 2b, c | 1, 0, 0 | | P-62c (190) | <4; 2 + (1, 2, 0); 7 + (-1, 1, 0)> | 2a, 2b, c | 0, 1, 0 | | P-62c (190) | <4; 7; 2 + (2, 1, 0)> | 2a, 2b, c | 1, 1, 0 |
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- Series of maximal isomorphic subgroups
[p] c' = pc
| P-62c (190) | <2; 4 + (0, 0, p/2 - 1/2 + 2u); 7 + (0, 0, 2u)> | a, b, pc | 0, 0, u | | | p > 2; 0 ≤ u < p
p conjugate subgroups for the prime p |
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[p2] a' = pa, b' = pb
| P-62c (190) | <4; 2 + (u + v, -u + 2v, 0); 7 + (u - v, -u + v, 0)> | pa, pb, c | u, v, 0 | | | p > 1; p ≠ 3; 0 ≤ u < p; 0 ≤ v < p
p2 conjugate subgroups for the prime p |
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I Minimal translationengleiche supergroups
| [2] P6/mcc (192); [2] P63/mmc (194) |
II Minimal non-isomorphic klassengleiche supergroups
- Additional centring translations
| [2] c' = 1/2c P-62m (189) |
