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Character table for C6h point group

E C6(z) C3 C2 (C3)2 (C6)5 i (S3)5 (S6)5 σh S6 S3 linear,
rotations
quadratic
Ag 1 1 1 1 1 1 1 1 1 1 1 Rz x2+y2, z2
Bg 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1
E1g 1
1
e
e*
-e*
-e
-1
-1
-e
-e*
e*
e
1
1
e
e*
-e*
-e
-1
-1
-e
-e*
e*
e
Rx+iRy
Rx-iRy
(xz, yz)
E2g 1
1
-e*
-e
-e
-e*
1
1
-e*
-e
-e
-e*
1
1
-e*
-e
-e
-e*
1
1
-e*
-e
-e
-e*
(x2-y2, xy)
Au 1 1 1 1 1 1 -1 -1 -1 -1 -1 -1 z
Bu 1 -1 1 -1 1 -1 -1 1 -1 1 -1 1
E1u 1
1
e
e*
-e*
-e
-1
-1
-e
-e*
e*
e
-1
-1
-e
-e*
e*
e
1
1
e
e*
-e*
-e
x+iy
x-iy
E2u 1
1
-e*
-e
-e
-e*
1
1
-e*
-e
-e
-e*
-1
-1
e*
e
e
e*
-1
-1
e*
e
e
e*

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