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D6d point group
not Abelian, 9(14) irreducible representations
Subgroups: Cs, C2, C3, C6, D2, D3, D6, C2v, C3v, C6v, S4, S12

Character table
E 2S12 2C6 2S4 2C3 2(S12)5 C2 6C'2 d linear,
rotations
quadratic
A1 1 1 1 1 1 1 1 1 1 x2+y2, z2
A2 1 1 1 1 1 1 1 -1 -1 Rz
B1 1 -1 1 -1 1 -1 1 1 -1
B2 1 -1 1 -1 1 -1 1 -1 1 z
E1 2 (3)1/2 1 0 -1 -(3)1/2 -2 0 0 (x, y)
E2 2 1 -1 -2 -1 1 2 0 0 (x2-y2, xy)
E3 2 0 -2 0 2 0 -2 0 0
E4 2 -1 -1 2 -1 -1 2 0 0
E5 2 -(3)1/2 1 0 -1 (3)1/2 -2 0 0 (Rx, Ry) (xz, yz)

Product table
 A1A2B1B2E1E2E3E4E5
A1A1A2B1B2E1E2E3E4E5
A2A2A1B2B1E1E2E3E4E5
B1B1B2A1A2E5E4E3E2E1
B2B2B1A2A1E5E4E3E2E1
E1E1E1E5E5A1+A2+E2E1+E3E2+E4E3+E5B1+B2+E4
E2E2E2E4E4E1+E3A1+A2+E4E1+E5B1+B2+E3E3+E5
E3E3E3E3E3E2+E4E1+E5A1+A2+B1+B2E1+E5E2+E4
E4E4E4E2E2E3+E5B1+B2+E2E1+E5A1+A2+E4E1+E3
E5E5E5E1E1B1+B2+E4E3+E5E2+E4E1+E3A1+A2+E2

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