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d5 - Point Group Symmetry Character Tables

D5 Point Group

not Abelian, 4(6) irreducible representations
Subgroups of D5 point group: C2, C5

Character table for D5 point group

E2C5 (z)2(C5)25C'2linear,
rotations
quadratic
A11111x2+y2, z2
A2111-1z, Rz
E122cos(2π/5)2cos(4π/5)0(x, y) (Rx, Ry)(xz, yz)
E222cos(4π/5)2cos(2π/5)0

Product table for D5 point group

 A1A2E1E2
A1A1A2E1E2
A2A2A1E1E2
E1E1E1A1+A2+E2E1+E2
E2E2E2E1+E2A1+A2+E2

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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