This document is provided by the Chemical Portal www.webqc.org D3h point group

not Abelian, 6(8) irreducible representations

Subgroups: Cs, C2, C3, D3, C2v, C3v, C3h

Character table

	E	2C3	3C'2	σh	2S3	3σv	linear, rotations	quadratic
A'1	1	1	1	1	1	1		x2+y2, z2
A'2	1	1	-1	1	1	-1	Rz
E'	2	-1	0	2	-1	0	(x, y)	(x2-y2, xy)
A''1	1	1	1	-1	-1	-1
A''2	1	1	-1	-1	-1	1	z
E''	2	-1	0	-2	1	0	(Rx, Ry)	(xz, yz)

Product table

	A'1	A'2	E'	A''1	A''2	E''
A'1	A'1	A'2	E'	A''1	A''2	E''
A'2	A'2	A'1	E'	A''2	A''1	E''
E'	E'	E'	A'1+A'2+E'	E''	E''	A''1+A''2+E''
A''1	A''1	A''2	E''	A'1	A'2	E'
A''2	A''2	A''1	E''	A'2	A'1	E'
E''	E''	E''	A''1+A''2+E''	E'	E'	A'1+A'2+E'

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