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Magnetic Point Group Tables of 6'/mmm' (#27.4.103)

Useful data about magnetic point group 6'/mmm'

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This group is

This group is

Symmetry operations of the group

N | (x,y,z) form | matrix form | Seitz symbol | ||||
---|---|---|---|---|---|---|---|

1 | m _{x},m_{y},m_{z} |
| 1 | ||||

2 | -m _{y},m_{x}-m_{y},m_{z} |
| 3_{z} | ||||

3 | -m _{x}+m_{y},-m_{x},m_{z} |
| 3_{z}^{-1} | ||||

4 | m _{x},m_{x}-m_{y},-m_{z} |
| 2_{1} | ||||

5 | -m _{x}+m_{y},m_{y},-m_{z} |
| 2_{2} | ||||

6 | -m _{y},-m_{x},-m_{z} |
| 2_{3} | ||||

7 | m _{x}-m_{y}, m_{x}, m_{z} |
| -6_{z} | ||||

8 | -m _{x}, -m_{y}, m_{z} |
| m_{z} | ||||

9 | m _{y}, -m_{x}+m_{y}, m_{z} |
| -6_{z}^{-1} | ||||

10 | m _{x}-m_{y}, -m_{y}, -m_{z} |
| m_{x} | ||||

11 | m _{y}, m_{x}, -m_{z} |
| m_{x}_{y} | ||||

12 | -m _{x}, -m_{x}+m_{y}, -m_{z} |
| m_{y} | ||||

13 | -m _{x}+m_{y}, -m_{x}, -m_{z} |
| 6_{z}' | ||||

14 | m _{x}, m_{y}, -m_{z} |
| 2_{z}' | ||||

15 | -m _{y}, m_{x}-m_{y}, -m_{z} |
| 6_{z}^{-1}' | ||||

16 | -m _{x}+m_{y}, m_{y}, m_{z} |
| 2_{x}' | ||||

17 | -m _{y}, -m_{x}, m_{z} |
| 2_{x}_{y}' | ||||

18 | m _{x}, m_{x}-m_{y}, m_{z} |
| 2_{y}' | ||||

19 | -m _{x},-m_{y},-m_{z} |
| -1' | ||||

20 | m _{y},-m_{x}+m_{y},-m_{z} |
| -3_{z}' | ||||

21 | m _{x}-m_{y},m_{x},-m_{z} |
| -3_{z}^{-1}' | ||||

22 | -m _{x},-m_{x}+m_{y},m_{z} |
| m1' | ||||

23 | m _{x}-m_{y},-m_{y},m_{z} |
| m2' | ||||

24 | m _{y},m_{x},m_{z} |
| m3' |

Subgroups Table

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