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, -y, z | (3) x + 1/2, -y, z | (4) -x + 1/2, y, z |
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I Maximal translationengleiche subgroups
| [2] P1a1 (7, P1c1) | 1; 3 | -a - c, b, a
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| [2] Pm11 (6, P1m1) | 1; 4 | c, a, b
| 1/4, 0, 0
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| [2] P112 (3) | 1; 2 |
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II Maximal klassengleiche subgroups
[2] b' = 2b
| Pba2 (32) | <2; 3 + (0, 1, 0)> | a, 2b, c | |
| Pba2 (32) | <3; 2 + (0, 1, 0)> | a, 2b, c | 0, 1/2, 0 |
| Pma2 (28) | <2; 3> | a, 2b, c | |
| Pma2 (28) | <(2; 3) + (0, 1, 0)> | a, 2b, c | 0, 1/2, 0 |
[2] c' = 2c
| Pmn21 (31) | <(2; 3) + (0, 0, 1)> | a, b, 2c | 1/4, 0, 0 |
| Pcn2 (30, Pnc2) | <2; 3 + (0, 0, 1)> | -b, a, 2c | |
| Pca21 (29) | <3; 2 + (0, 0, 1)> | a, b, 2c | |
| Pma2 (28) | <2; 3> | a, b, 2c | |
[2] b' = 2b, c' = 2c
| Aea2 (41) | <2; 3 + (0, 1, 0)> | a, 2b, 2c | |
| Aea2 (41) | <3; 2 + (0, 1, 0)> | a, 2b, 2c | 0, 1/2, 0 |
| Ama2 (40) | <2; 3> | a, 2b, 2c | |
| Ama2 (40) | <(2; 3) + (0, 1, 0)> | a, 2b, 2c | 0, 1/2, 0 |
[3] a' = 3a
 | Pma2 (28) | <2; 3 + (1, 0, 0)> | 3a, b, c | | | Pma2 (28) | <2 + (2, 0, 0); 3 + (1, 0, 0)> | 3a, b, c | 1, 0, 0 | | Pma2 (28) | <2 + (4, 0, 0); 3 + (1, 0, 0)> | 3a, b, c | 2, 0, 0 |
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[3] b' = 3b
| Pma2 (28) | <2; 3> | a, 3b, c | | | Pma2 (28) | <(2; 3) + (0, 2, 0)> | a, 3b, c | 0, 1, 0 | | Pma2 (28) | <(2; 3) + (0, 4, 0)> | a, 3b, c | 0, 2, 0 |
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[3] c' = 3c
- Series of maximal isomorphic subgroups
[p] a' = pa
| Pma2 (28) | <2 + (2u, 0, 0); 3 + (p/2 - 1/2, 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
| Pma2 (28) | <(2; 3) + (0, 2u, 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
| Pma2 (28) | <2; 3> | a, b, pc | | | | p > 1
no conjugate subgroups |
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I Minimal translationengleiche supergroups
| [2] Pccm (49); [2] Pmma (51); [2] Pmna (53); [2] Pbcm (57) |
II Minimal non-isomorphic klassengleiche supergroups
- Additional centring translations
| [2] Cmm2 (35); [2] Bme2 (39, Aem2); [2] Ama2 (40); [2] Ima2 (46) |
