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Character table for C4h point group

E C4(z) C2 (C4)3 i (S4)3 σh S4 linear,
rotations
quadratic
Ag 1 1 1 1 1 1 1 1 Rz x2+y2, z2
Bg 1 -1 1 -1 1 -1 1 -1 x2-y2, xy
Eg 1
1
i
-i
-1
-1
-i
i
1
1
i
-i
-1
-1
-i
i
Rx+iRy
Rx-iRy
(xz, yz)
Au 1 1 1 1 -1 -1 -1 -1 z
Bu 1 -1 1 -1 -1 1 -1 1
Eu 1
1
i
-i
-1
-1
-i
i
-1
-1
-i
i
1
1
i
-i
x+iy
x-iy

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