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Td point group
not Abelian, 5(10) irreducible representations

Character table
E 8C3 3C2 6S4 d linear,
rotations
quadratic
A1 1 1 1 1 1 x2+y2+z2
A2 1 1 1 -1 -1
E 2 -1 2 0 0 (2z2-x2-y2, x2-y2)
T1 3 0 -1 1 -1 (Rx, Ry, Rz)
T2 3 0 -1 -1 1 (x, y, z) (xy, xz, yz)

Product table
 A1A2ET1T2
A1A1A2ET1T2
A2A2A1ET2T1
EEEA1+A2+ET1+T2T1+T2
T1T1T2T1+T2A1+E+T1+T2A2+E+T1+T2
T2T2T1T1+T2A2+E+T1+T2A1+E+T1+T2

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