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C5v point group
not Abelian, 4(6) irreducible representations
Subgroups: Cs, C5

Character table
E 2C5 (z) 2(C5)2 v linear,
rotations
quadratic
A1 1 1 1 1 z x2+y2, z2
A2 1 1 1 -1 Rz
E1 2 2cos(2π/5) 2cos(4π/5) 0 (x, y) (Rx, Ry) (xz, yz)
E2 2 2cos(4π/5) 2cos(2π/5) 0 (x2-y2, xy)

Product table
 A1A2E1E2
A1A1A2E1E2
A2A2A1E2E1
E1E1E1A1+A2+E2E1+E2
E2E2E2E1+E2A1+A2+E2

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