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s4 - Point Group Symmetry Character Tables

S4 Point Group

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

Character table for S4 point group

ES4C2(S4)3linear,
rotations
quadratic
A1111Rzx2+y2, z2
B1-11-1zx2-y2, xy
E1
1
i
-i
-1
-1
-i
i
x+iy; Rx+iRy
x-iy; Rx-iRy
(xz, yz)

Product table for S4 point group

 ABE
AABE
BBAE
EEE2A+2B

C1 Cs Ci
C2 C3 C4 C5 C6
C2v C3v C4v C5v C6v
C2h C3h C4h C5h C6h
D2 D3 D4 D5 D6
D2h D3h D4h D5h D6h
D2d D3d D4d D5d D6d
S4 S6 S8 S10
Td Oh Ih
C∞v D∞h

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