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S4 point group
Abelian, 3(4) irreducible representations
Subgroups: C2

Character table
E S4 C2 (S4)3 linear,
rotations
quadratic
A 1 1 1 1 Rz x2+y2, z2
B 1 -1 1 -1 z x2-y2, xy
E 1
1
i
-i
-1
-1
-i
i
x+iy; Rx+iRy
x-iy; Rx-iRy
(xz, yz)

Product table
 ABE
AABE
BBAE
EEE2A+2B

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