This document is provided by the Chemical Portal www.webqc.org Td point group

Abelian, 5(10) irreducible representations

Character table

	E	8C3	3C2	6S4	6σd	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

	A1	A2	E	T1	T2
A1	A1	A2	E	T1	T2
A2	A2	A1	E	T2	T1
E	E	E	A1+A2+E	T1+T2	T1+T2
T1	T1	T2	T1+T2	A1+E+T1+T2	A2+E+T1+T2
T2	T2	T1	T1+T2	A2+E+T1+T2	A1+E+T1+T2

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