c6h - Point Group Symmetry Character Tables

C_6h Point Group

Abelian, 8(12) irreducible representations
Subgroups of C_6h point group: C_s, C_i, C₂, C₃, C₆, C_2h, C_3h, S₆

	E	C₆(z)	C₃	C₂	(C₃)²	(C₆)⁵	i	(S₃)⁵	(S₆)⁵	σ_h	S₆	S₃	linear, rotations	quadratic
A_g	1	1	1	1	1	1	1	1	1	1	1	R_z	x²+y², z²
B_g	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1
E_1g	1 1	e e^*	-e^* -e	-1 -1	-e -e^*	e^* e	1 1	e e^*	-e^* -e	-1 -1	-e -e^*	e^* e	R_x+iR_y R_x-iR_y	(xz, yz)
E_2g	1 1	-e^* -e	-e -e^*	1 1	-e^* -e	-e -e^*	1 1	-e^* -e	-e -e^*	1 1	-e^* -e	-e -e^*		(x²-y², xy)
A_u	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	z
B_u	1	-1	1	-1	1	-1	-1	1	-1	1	-1	1
E_1u	1 1	e e^*	-e^* -e	-1 -1	-e -e^*	e^* e	-1 -1	-e -e^*	e^* e	1 1	e e^*	-e^* -e	x+iy x-iy
E_2u	1 1	-e^* -e	-e -e^*	1 1	-e^* -e	-e -e^*	-1 -1	e^* e	e e^*	-1 -1	e^* e	e e^*

e = exp(πi/3)

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