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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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