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 | (4) -x, y, z |
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I Maximal translationengleiche subgroups
| [2] C1m1 (8) | (1; 3)+ |
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| [2] Cm11 (8, C1m1) | (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] Pba2 (32) | 1; 2; (3; 4) + (1/2, 1/2, 0) | | |
| [2] Pbm2 (28, Pma2) | 1; 3; (2; 4) + (1/2, 1/2, 0) | -b, a, c | 1/4, 1/4, 0 |
| [2] Pma2 (28) | 1; 4; (2; 3) + (1/2, 1/2, 0) | | 1/4, 1/4, 0 |
| [2] Pmm2 (25) | 1; 2; 3; 4 | | |
[2] c' = 2c
| Ima2 (46) | <(2; 3) + (0, 0, 1)> | a, b, 2c | 1/4, 1/4, 0 |
| Ibm2 (46, Ima2) | <3; 2 + (0, 0, 1)> | -b, a, 2c | 1/4, 1/4, 0 |
| Iba2 (45) | <2; 3 + (0, 0, 1)> | a, b, 2c | |
| Imm2 (44) | <2; 3> | a, b, 2c | |
| Ccc2 (37) | <2; 3 + (0, 0, 1)> | a, b, 2c | |
| Cmc21 (36) | <(2; 3) + (0, 0, 1)> | a, b, 2c | |
| Ccm21 (36, Cmc21) | <3; 2 + (0, 0, 1)> | -b, a, 2c | |
| Cmm2 (35) | <2; 3> | a, b, 2c | |
[3] a' = 3a
 | Cmm2 (35) | <2; 3> | 3a, b, c | | | Cmm2 (35) | <3; 2 + (2, 0, 0)> | 3a, b, c | 1, 0, 0 | | Cmm2 (35) | <3; 2 + (4, 0, 0)> | 3a, b, c | 2, 0, 0 |
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[3] b' = 3b
| Cmm2 (35) | <2; 3> | a, 3b, c | | | Cmm2 (35) | <(2; 3) + (0, 2, 0)> | a, 3b, c | 0, 1, 0 | | Cmm2 (35) | <(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
| Cmm2 (35) | <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
| Cmm2 (35) | <(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
| Cmm2 (35) | <2; 3> | a, b, pc | | | | p > 1
no conjugate subgroups |
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I Minimal translationengleiche supergroups
| [2] Cmmm (65); [2] Cmme (67); [2] P4mm (99); [2] P4bm (100); [2] P42cm (101); [2] P42nm (102); [2] P-42m (111); [2] P-421m (113); [3] P6mm (183) |
II Minimal non-isomorphic klassengleiche supergroups
- Additional centring translations
| [2] a' = 1/2a, b' = 1/2b Pmm2 (25) |
