Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); (2); (3)
Multiplicity, Wyckoff letter,
Site symmetry | Coordinates |
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| | |
| | (1) x, y, z | (2) -x + 1/2, -y, z + 1/2 | (3) -x, y + 1/2, -z + 1/2 | (4) x + 1/2, -y + 1/2, -z |
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I Maximal translationengleiche subgroups
| [2] P1121 (4) | 1; 2 |
| 1/4, 0, 0
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| [2] P1211 (4) | 1; 3 |
| 0, 0, 1/4
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| [2] P2111 (4, P1211) | 1; 4 | c, a, b
| 0, 1/4, 0
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II Maximal klassengleiche subgroups
[3] a' = 3a
 | P212121 (19) | <3; 2 + (1, 0, 0)> | 3a, b, c | | | P212121 (19) | <2 + (3, 0, 0); 3 + (2, 0, 0)> | 3a, b, c | 1, 0, 0 | | P212121 (19) | <2 + (5, 0, 0); 3 + (4, 0, 0)> | 3a, b, c | 2, 0, 0 |
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[3] b' = 3b
| P212121 (19) | <2; 3 + (0, 1, 0)> | a, 3b, c | | | P212121 (19) | <2 + (0, 2, 0); 3 + (0, 1, 0)> | a, 3b, c | 0, 1, 0 | | P212121 (19) | <2 + (0, 4, 0); 3 + (0, 1, 0)> | a, 3b, c | 0, 2, 0 |
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[3] c' = 3c
| P212121 (19) | <(2; 3) + (0, 0, 1)> | a, b, 3c | | | P212121 (19) | <2 + (0, 0, 1); 3 + (0, 0, 3)> | a, b, 3c | 0, 0, 1 | | P212121 (19) | <2 + (0, 0, 1); 3 + (0, 0, 5)> | a, b, 3c | 0, 0, 2 |
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- Series of maximal isomorphic subgroups
[p] a' = pa
| P212121 (19) | <2 + (p/2 - 1/2 + 2u, 0, 0); 3 + (2u, 0, 0)> | pa, b, c | u, 0, 0 | | | p > 2; 0 ≤ u < p
p conjugate subgroups for the prime p |
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[p] b' = pb
| P212121 (19) | <2 + (0, 2u, 0); 3 + (0, p/2 - 1/2, 0)> | a, pb, c | 0, u, 0 | | | p > 2; 0 ≤ u < p
p conjugate subgroups for the prime p |
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[p] c' = pc
| P212121 (19) | <2 + (0, 0, p/2 - 1/2); 3 + (0, 0, p/2 - 1/2 + 2u)> | a, b, pc | 0, 0, u | | | p > 2; 0 ≤ u < p
p conjugate subgroups for the prime p |
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I Minimal translationengleiche supergroups
| [2] Pbca (61); [2] Pnma (62); [2] P41212 (92); [2] P43212 (96); [3] P213 (198) |
II Minimal non-isomorphic klassengleiche supergroups
- Additional centring translations
| [2] A2122 (20, C2221); [2] B2212 (20, C2221); [2] C2221 (20); [2] I212121 (24) |
| [2] a' = 1/2a P22121 (18, P21212); [2] b' = 1/2b P21221 (18, P21212); [2] c' = 1/2c P21212 (18) |
