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 + 1/2 | (3) x + 1/2, -y + 1/2, z | (4) -x + 1/2, y + 1/2, z + 1/2 |
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I Maximal translationengleiche subgroups
| [2] P1a1 (7, P1c1) | 1; 3 | -a - c, b, a
| 0, 1/4, 0
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| [2] Pn11 (7, P1c1) | 1; 4 | b, a, -b - c
| 1/4, 0, 0
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| [2] P1121 (4) | 1; 2 |
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II Maximal klassengleiche subgroups
[3] a' = 3a
 | Pna21 (33) | <2; 3 + (1, 0, 0)> | 3a, b, c | | | Pna21 (33) | <2 + (2, 0, 0); 3 + (1, 0, 0)> | 3a, b, c | 1, 0, 0 | | Pna21 (33) | <2 + (4, 0, 0); 3 + (1, 0, 0)> | 3a, b, c | 2, 0, 0 |
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[3] b' = 3b
| Pna21 (33) | <2; 3 + (0, 1, 0)> | a, 3b, c | | | Pna21 (33) | <2 + (0, 2, 0); 3 + (0, 3, 0)> | a, 3b, c | 0, 1, 0 | | Pna21 (33) | <2 + (0, 4, 0); 3 + (0, 5, 0)> | a, 3b, c | 0, 2, 0 |
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[3] c' = 3c
| Pna21 (33) | <3; 2 + (0, 0, 1)> | a, b, 3c | |
- Series of maximal isomorphic subgroups
[p] a' = pa
| Pna21 (33) | <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
| Pna21 (33) | <2 + (0, 2u, 0); 3 + (0, p/2 - 1/2 + 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
| Pna21 (33) | <3; 2 + (0, 0, p/2 - 1/2)> | a, b, pc | | | | p > 2
no conjugate subgroups |
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I Minimal translationengleiche supergroups
| [2] Pnna (52); [2] Pccn (56); [2] Pbcn (60); [2] Pnma (62) |
II Minimal non-isomorphic klassengleiche supergroups
- Additional centring translations
| [2] Ccm21 (36, Cmc21); [2] Ama2 (40); [2] Bbe2 (41, Aea2); [2] Ima2 (46) |
| [2] b' = 1/2b Pca21 (29); [2] a' = 1/2a Pnm21 (31, Pmn21); [2] c' = 1/2c Pba2 (32) |
