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Character table for S8 point group

E S8 C4 (z) (S8)3 C2 (S8)5 (C4)3 (S8)7 linear,
rotations
quadratic
A 1 1 1 1 1 1 1 1 Rz x2+y2, z2
B 1 -1 1 -1 1 -1 1 -1 z
E1 1
1
e
e*
i
-i
-e*
-e
-1
-1
-e
-e*
-i
i
e*
e
x+iy
x-iy
E2 1
1
i
-i
-1
-1
-i
i
1
1
i
-i
-1
-1
-i
i
(x2-y2, xy)
E3 1
1
-e
-e*
i
-i
e*
e
-1
-1
e
e*
-i
i
-e*
-e
Rx+iRy
Rx-iRy
(xz, yz)

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