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S6 Point Group
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| Abelian, 4(6) irreducible representations | |
Subgroups of S6 point group: Ci, C3 | Character table for S6 point group
|
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 |
|
Product table for S6 point group| | 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 |
|---|
|