s6 - Point Group Symmetry Character Tables
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S6 Point Group |
| Abelian, 4(6) irreducible representations |
| Subgroups of S6 point group: Ci, C3 |
| E | C3(z) | (C3)2 | i | (S6)5 | S6 | linear, rotations |
quadratic | |
|---|---|---|---|---|---|---|---|---|
| Ag | 1 | 1 | 1 | 1 | 1 | 1 | Rz | x2+y2, z2 |
| Eg | 1 1 |
e e* |
e* e |
1 1 |
e e* |
e* e |
Rx+iRy Rx-iRy |
(x2-y2, xy) (xz, yz) |
| Au | 1 | 1 | 1 | -1 | -1 | -1 | z | |
| Eu | 1 1 |
e e* |
e* e |
-1 -1 |
-e -e* |
-e* -e |
x+iy x-iy |
| Ag | Eg | Au | Eu | |
|---|---|---|---|---|
| Ag | Ag | Eg | Au | Eu |
| Eg | Eg | 2Ag+Eg | Au | 2Au+Eu |
| Au | Au | Eu | Ag | Eg |
| Eu | Au | 2Au+Eu | Eg | 2Ag+Eg |
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Printable S6 point group Printable character table for S6 point group Printable product table for S6 point group |
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