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D6 point group
not Abelian, 6(8) irreducible representations
Subgroups: C2, C3, C6, D2, D3

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

Product table
 A1A2B1B2E1E2
A1A1A2B1B2E1E2
A2A2A1B2B1E1E2
B1B1B2A1A2E2E1
B2B2B1A2A1E2E1
E1E1E1E2E2A1+A2+E2B1+B2+E1
E2E2E2E1E1B1+B2+E1A1+A2+E2

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