Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); (2); (3); (5)
Multiplicity, Wyckoff letter,
Site symmetry | Coordinates |
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| | (1) x, y, z | (2) -x + 1/2, -y + 1/2, z | (3) -x, y + 1/2, -z + 1/2 | (4) x + 1/2, -y, -z + 1/2 | | (5) -x, -y, -z | (6) x + 1/2, y + 1/2, -z | (7) x, -y + 1/2, z + 1/2 | (8) -x + 1/2, y, z + 1/2 |
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I Maximal translationengleiche subgroups
| [2] Pc21n (33, Pna21) | 1; 3; 6; 8 | c, a, b
| 0, 0, 1/4
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| [2] P21cn (33, Pna21) | 1; 4; 6; 7 | c, b, -a
| 0, 0, 1/4
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| [2] Pcc2 (27) | 1; 2; 7; 8 |
| 1/4, 1/4, 0
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| [2] P21212 (18) | 1; 2; 3; 4 |
| 1/4, 1/4, 1/4
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| [2] P121/c1 (14) | 1; 3; 5; 7 |
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| [2] P21/c11 (14, P121/c1) | 1; 4; 5; 8 | -b, a, c
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| [2] P112/n (13, P112/a) | 1; 2; 5; 6 | -a - b, a, c
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II Maximal klassengleiche subgroups
[3] a' = 3a
 | Pccn (56) | <3; 5; 2 + (1, 0, 0)> | 3a, b, c | | | Pccn (56) | <2 + (3, 0, 0); (3; 5) + (2, 0, 0)> | 3a, b, c | 1, 0, 0 | | Pccn (56) | <2 + (5, 0, 0); (3; 5) + (4, 0, 0)> | 3a, b, c | 2, 0, 0 |
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[3] b' = 3b
| Pccn (56) | <5; (2; 3) + (0, 1, 0)> | a, 3b, c | | | Pccn (56) | <2 + (0, 3, 0); 3 + (0, 1, 0); 5 + (0, 2, 0)> | a, 3b, c | 0, 1, 0 | | Pccn (56) | <2 + (0, 5, 0); 3 + (0, 1, 0); 5 + (0, 4, 0)> | a, 3b, c | 0, 2, 0 |
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[3] c' = 3c
| Pccn (56) | <2; 5; 3 + (0, 0, 1)> | a, b, 3c | | | Pccn (56) | <2; 3 + (0, 0, 3); 5 + (0, 0, 2)> | a, b, 3c | 0, 0, 1 | | Pccn (56) | <2; 3 + (0, 0, 5); 5 + (0, 0, 4)> | a, b, 3c | 0, 0, 2 |
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- Series of maximal isomorphic subgroups
[p] a' = pa
| Pccn (56) | <2 + (p/2 - 1/2 + 2u, 0, 0); (3; 5) + (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
| Pccn (56) | <2 + (0, p/2 - 1/2 + 2u, 0); 3 + (0, p/2 - 1/2, 0); 5 + (0, 2u, 0)> | a, pb, c | 0, 2u, 0 | | | p > 2; 0 ≤ u < p
p conjugate subgroups for the prime p |
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[p] c' = pc
| Pccn (56) | <2; 3 + (0, 0, p/2 - 1/2 + 2u); 5 + (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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I Minimal translationengleiche supergroups
| [2] P4/ncc (130); [2] P42/ncm (138) |
II Minimal non-isomorphic klassengleiche supergroups
- Additional centring translations
| [2] Aema (64, Cmce); [2] Bmeb (64, Cmce); [2] Cccm (66); [2] Ibam (72) |
| [2] a' = 1/2a Pccb (54, Pcca); [2] b' = 1/2b Pcca (54); [2] c' = 1/2c Pmmn (59) |
