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Axes |
Coordinates |
Wyckoff positions |
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2a |
2b |
2c |
2d |
4e |
| I Maximal translationengleiche subgroups |
| [2] P1121 (4) |
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2a |
2a |
2a |
2a |
2 × 2a |
| [2] P211 (3) |
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1a; 1c |
1b; 1d |
2e |
2e |
2 × 2e |
![[conventional setting]](/graphics/sg/Wconv.gif) P121 |
c, a, b |
z, x, y |
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| [2] P121 (3) |
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x, y, z + (1/4) |
2e |
2e |
1a; 1b |
1c; 1d |
2 × 2e |
| II Maximal klassengleiche subgroups |
| Enlarged unit cell, non-isomorphic |
| [2] C2221 (20) |
2a, 2b, c |
(1/2)x, (1/2)y, z; +((1/2), 0, 0) |
2 × 4a |
8c |
2 × 4b |
8c |
2 × 8c |
| [2] C2221 (20) |
2a, 2b, c |
(1/2)x + (1/4), (1/2)y, z; +((1/2), 0, 0) |
2 × 4a |
8c |
8c |
2 × 4b |
2 × 8c |
| [2] C2221 (20) |
2a, 2b, c |
(1/2)x, (1/2)y + (1/4), z; +((1/2), 0, 0) |
8c |
2 × 4a |
2 × 4b |
8c |
2 × 8c |
| [2] C2221 (20) |
2a, 2b, c |
(1/2)x + (1/4), (1/2)y + (1/4), z; +((1/2), 0, 0) |
8c |
2 × 4a |
8c |
2 × 4b |
2 × 8c |
| [2] P21221 (18) |
2a, b, c |
(1/2)x, y, z + (1/4); +((1/2), 0, 0) |
4c |
4c |
2a; 2b |
4c |
2 × 4c |
| P21212 |
c, 2a, b |
z + (1/4), (1/2)x, y; +(0, (1/2), 0) |
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| [2] P21221 (18) |
2a, b, c |
(1/2)x + (1/4), y, z + (1/4); +((1/2), 0, 0) |
4c |
4c |
4c |
2a; 2b |
2 × 4c |
| P21212 |
c, 2a, b |
z + (1/4), (1/2)x + (1/4), y; +(0, (1/2), 0) |
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| [2] P22121 (18) |
a, 2b, c |
x, (1/2)y, z; +(0, (1/2), 0) |
2a; 2b |
4c |
4c |
4c |
2 × 4c |
| P21212 |
2b, c, a |
(1/2)y, z, x; +((1/2), 0, 0) |
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| [2] P22121 (18) |
a, 2b, c |
x, (1/2)y + (1/4), z; +(0, (1/2), 0) |
4c |
2a; 2b |
4c |
4c |
2 × 4c |
| P21212 |
2b, c, a |
(1/2)y + (1/4), z, x; +((1/2), 0, 0) |
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| Enlarged unit cell, isomorphic |
| [2] P2221 |
2a, b, c |
(1/2)x, y, z; +((1/2), 0, 0) |
2 × 2a |
2 × 2b |
2c; 2d |
4e |
2 × 4e |
| [2] P2221 |
2a, b, c |
(1/2)x + (1/4), y, z; +((1/2), 0, 0) |
2 × 2a |
2 × 2b |
4e |
2c; 2d |
2 × 4e |
| [3] P2221 |
3a, b, c |
(1/3)x, y, z; ±((1/3), 0, 0) |
3 × 2a |
3 × 2b |
2c; 4e |
2d; 4e |
3 × 4e |
| [p] P2221 |
pa, b, c |
(1/p)x, y, z; +((u/p), 0, 0) |
p × 2a |
p × 2b |
2c; ((p - 1)/2) × 4e |
2d; ((p - 1)/2) × 4e |
p × 4e |
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p = prime > 2; u = 1, . . ., p - 1 |
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| [2] P2221 |
a, 2b, c |
x, (1/2)y, z; +(0, (1/2), 0) |
2a; 2b |
4e |
2 × 2c |
2 × 2d |
2 × 4e |
| [2] P2221 |
a, 2b, c |
x, (1/2)y + (1/4), z; +(0, (1/2), 0) |
4e |
2a; 2b |
2 × 2c |
2 × 2d |
2 × 4e |
| [3] P2221 |
a, 3b, c |
x, (1/3)y, z; ±(0, (1/3), 0) |
2a; 4e |
2b; 4e |
3 × 2c |
3 × 2d |
3 × 4e |
| [p] P2221 |
a, pb, c |
x, (1/p)y, z; +(0, (u/p), 0) |
2a; ((p - 1)/2) × 4e |
2b; ((p - 1)/2) × 4e |
p × 2c |
p × 2d |
p × 4e |
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p = prime > 2; u = 1, . . ., p - 1 |
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| [3] P2221 |
a, b, 3c |
x, y, (1/3)z; ±(0, 0, (1/3)) |
2a; 4e |
2b; 4e |
2c; 4e |
2d; 4e |
3 × 4e |
| [p] P2221 |
a, b, pc |
x, y, (1/p)z; +(0, 0, (u/p)) |
2a; ((p - 1)/2) × 4e |
2b; ((p - 1)/2) × 4e |
2c; ((p - 1)/2) × 4e |
2d; ((p - 1)/2) × 4e |
p × 4e |
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p = prime > 2; u = 1, . . ., p - 1 |
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