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s6 - Point Group Symmetry Character Tables
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 |
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e = exp(2πi/3)
Product table for S6 point group | Ag | Eg | Au | Eu |
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Ag | Ag | Eg | Au | Eu |
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Eg | Eg | 2Ag+Eg | Au | 2Au+Eu |
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Au | Au | Eu | Ag | Eg |
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Eu | Au | 2Au+Eu | Eg | 2Ag+Eg |
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