Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); t(1/2, 1/2, 0); (2); (3)
Multiplicity, Wyckoff letter,
Site symmetry | Coordinates |
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| | (0, 0, 0)+ (1/2, 1/2, 0)+ |
| | (1) x, y, z | (2) -x, -y, z | (3) x, -y, z + 1/2 | (4) -x, y, z + 1/2 |
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I Maximal translationengleiche subgroups
| [2] C1c1 (9) | (1; 3)+ |
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| [2] Cc11 (9, C1c1) | (1; 4)+ | -b, a, c
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| [2] C112 (3, P112) | (1; 2)+ | 1/2(a - b), 1/2(a + b), c
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II Maximal klassengleiche subgroups
- Loss of centring translations
| [2] Pnn2 (34) | 1; 2; (3; 4) + (1/2, 1/2, 0) | | |
| [2] Pnc2 (30) | 1; 3; (2; 4) + (1/2, 1/2, 0) | | 1/4, 1/4, 0 |
| [2] Pcn2 (30, Pnc2) | 1; 4; (2; 3) + (1/2, 1/2, 0) | -b, a, c | 1/4, 1/4, 0 |
| [2] Pcc2 (27) | 1; 2; 3; 4 | | |
[3] a' = 3a
 | Ccc2 (37) | <2; 3> | 3a, b, c | | | Ccc2 (37) | <3; 2 + (2, 0, 0)> | 3a, b, c | 1, 0, 0 | | Ccc2 (37) | <3; 2 + (4, 0, 0)> | 3a, b, c | 2, 0, 0 |
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[3] b' = 3b
| Ccc2 (37) | <2; 3> | a, 3b, c | | | Ccc2 (37) | <(2; 3) + (0, 2, 0)> | a, 3b, c | 0, 1, 0 | | Ccc2 (37) | <(2; 3) + (0, 4, 0)> | a, 3b, c | 0, 2, 0 |
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[3] c' = 3c
| Ccc2 (37) | <2; 3 + (0, 0, 1)> | a, b, 3c | |
- Series of maximal isomorphic subgroups
[p] a' = pa
| Ccc2 (37) | <3; 2 + (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
| Ccc2 (37) | <(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
| Ccc2 (37) | <2; 3 + (0, 0, p/2 - 1/2)> | a, b, pc | | | | p > 2
no conjugate subgroups |
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I Minimal translationengleiche supergroups
| [2] Cccm (66); [2] Ccce (68); [2] P4cc (103); [2] P4nc (104); [2] P42mc (105); [2] P42bc (106); [2] P-42c (112); [2] P-421c (114); [3] P6cc (184) |
II Minimal non-isomorphic klassengleiche supergroups
- Additional centring translations
| [2] a' = 1/2a, b' = 1/2b Pcc2 (27); [2] c' = 1/2c Cmm2 (35) |
