Generators selected (1); t(1, 0); t(0, 1); t(1/2, 1/2); (2); (3)
Multiplicity, Wyckoff letter,
Site symmetry | Coordinates |
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| | (0, 0)+ (1/2, 1/2)+ |
| | (1) x, y | (2) -x, -y | (3) -x, y | (4) x, -y |
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I Maximal translationengleiche subgroups
| [2] c1m1 (5, cm) | (1; 3)+ |
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| [2] c11m (5, cm) | (1; 4)+ | b, -a
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| [2] c211 (2, p2) | (1; 2)+ | 1/2(a - b), 1/2(a + b)
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II Maximal klassengleiche subgroups
- Loss of centring translations
| [2] p2gg (8) | 1; 2; (3; 4) + (1/2, 1/2) |
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| [2] p2gm (7, p2mg) | 1; 4; (2; 3) + (1/2, 1/2) | b, -a
| 1/4, 1/4
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| [2] p2mg (7) | 1; 3; (2; 4) + (1/2, 1/2) |
| 1/4, 1/4
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| [2] p2mm (6) | 1; 2; 3; 4 |
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[3] a' = 3a
 | c2mm (9) | <2; 3> | 3a, b | | | c2mm (9) | <(2; 3) + (2, 0)> | 3a, b | 1, 0 | | c2mm (9) | <(2; 3) + (4, 0)> | 3a, b | 2, 0 |
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[3] b' = 3b
| c2mm (9) | <2; 3> | a, 3b | | | c2mm (9) | <3; 2 + (0, 2)> | a, 3b | 0, 1 | | c2mm (9) | <3; 2 + (0, 4)> | a, 3b | 0, 2 |
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- Series of maximal isomorphic subgroups
[p] a' = pa
| c2mm (9) | <(2; 3) + (2u, 0)> | pa, b | u, 0 |
| | p > 2; 0 ≤ u < p
p conjugate subgroups for the prime p |
[p] b' = pb
| c2mm (9) | <3; 2 + (0, 2u)> | a, pb | 0, u |
| | p > 2; 0 ≤ u < p
p conjugate subgroups for the prime p |
I Minimal translationengleiche supergroups
| [2] p4mm (11); [2] p4gm (12); [3] p6mm (17) |
II Minimal non-isomorphic klassengleiche supergroups
- Additional centring translations
| [2] a' = 1/2a, b' = 1/2b p2mm (6) |
