Trigonal: S₆ (-3)

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S6	E	C3	C32	i	S65	S6
Ag	1	1	1	1	1	1	Iz	x2+y2, z2
Eg	1 1	ω ω*	ω* ω	1 1	ω ω*	ω* ω	(Ix, Iy)	(yz, zx), (x2-y2, xy)
Au	1	1	1	-1	-1	-1	z		z3, y(3x2−y2), x(x2−3y2), z(x2+y2)
Eu	1 1	ω ω*	ω* ω	-1 -1	-ω -ω*	-ω* -ω	(x, y)		(xz2, yz2), [xyz, z(x2−y2)], [x(x2+y2), y(x2+y2)]
ω=exp(2πi/3)

Stereograph	3D object

• S₆ correlation table
• S₆ product tables