Generators selected (1); t(1, 0); t(0, 1); (2); (4); (7)
Multiplicity, Wyckoff letter,
Site symmetry | Coordinates |
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| | (1) x, y | (2) -y, x - y | (3) -x + y, -x | | (4) -x, -y | (5) y, -x + y | (6) x - y, x | | (7) -y, -x | (8) -x + y, y | (9) x, x - y | | (10) y, x | (11) x - y, -y | (12) -x, -x + y |
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I Maximal translationengleiche subgroups
| [2] p611 (16, p6) | 1; 2; 3; 4; 5; 6 |
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| [2] p31m (15) | 1; 2; 3; 10; 11; 12 |
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| [2] p3m1 (14) | 1; 2; 3; 7; 8; 9 |
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 | [3] p2mm (9, c2mm) | 1; 4; 7; 10 | a - b, a + b
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| | [3] p2mm (9, c2mm) | 1; 4; 8; 11 | a + 2b, -a
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| | [3] p2mm (9, c2mm) | 1; 4; 9; 12 | 2a + b, b
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II Maximal klassengleiche subgroups
[3] a' = 3a, b' = 3b
| h6mm (17, p6mm) | <2; 4; 7> | a - b, a + 2b | | | h6mm (17, p6mm) | <2 + (1, -1); 4 + (2, 0); 7 + (1, 1)> | a - b, a + 2b | 1, 0 | | h6mm (17, p6mm) | <2 + (2, -2); 4 + (4, 0); 7 + (2, 2)> | a - b, a + 2b | 2, 0 |
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[4] a' = 2a, b' = 2b
 | p6mm (17) | <2; 4; 7> | 2a, 2b | | | p6mm (17) | <2 + (1, -1); 4 + (2, 0); 7 + (1, 1)> | 2a, 2b | 1, 0 | | p6mm (17) | <2 + (1, 2); 4 + (0, 2); 7 + (1, 1)> | 2a, 2b | 0, 1 | | p6mm (17) | <2 + (2, 1); (4; 7) + (2, 2)> | 2a, 2b | 1, 1 |
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- Series of maximal isomorphic subgroups
[p2] a' = pa, b' = pb
| p6mm (17) | <2 + (u + v, -u + 2v); 4 + (2u, 2v); 7 + (u + v, u + v)> | pa, pb | u, v |
| | p > 1; p ≠ 3; 0 ≤ u < p; 0 ≤ v < p
p2 conjugate subgroups for the prime p |
I Minimal translationengleiche supergroups
II Minimal non-isomorphic klassengleiche supergroups
- Additional centring translations
