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c4h - Point Group Symmetry Character Tables

C4h Point Group

Abelian, 6(8) irreducible representations
Subgroups of C4h point group: Cs, Ci, C2, C4, C2h, S4

Character table for C4h point group

EC4(z)C2(C4)3i(S4)3σhS4linear,
rotations
quadratic
Ag11111111Rzx2+y2, z2
Bg1-11-11-11-1x2-y2, xy
Eg1
1
i
-i
-1
-1
-i
i
1
1
i
-i
-1
-1
-i
i
Rx+iRy
Rx-iRy
(xz, yz)
Au1111-1-1-1-1z
Bu1-11-1-11-11
Eu1
1
i
-i
-1
-1
-i
i
-1
-1
-i
i
1
1
i
-i
x+iy
x-iy

Product table for C4h point group

 AgBgEgAuBuEu
AgAgBgEgAuBuEu
BgBgAgEgBuAuEu
EgEgEgAg+Bg+EgEuEuAu+Bu+Eu
AuAuBuEuAgBgEg
BuBuAuEuBgAgEg
EuEuEuAu+Bu+EuEgEgAg+Bg+Eg

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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