d3 - Point Group Symmetry Character Tables - Chemistry Online Education

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Linear
C_∞v
D_∞h

D₃ Point Group

not Abelian, 3(4) irreducible representations

Subgroups of D₃ point group: C₂, C₃

Character table for D₃ point group

	E	2C₃ (z)	3C'₂	linear, rotations	quadratic
A₁	1	1	1		x²+y², z²
A₂	1	1	-1	z, R_z
E	2	-1	0	(x, y) (R_x, R_y)	(x²-y², xy) (xz, yz)

Product table for D₃ point group

Printable: character table for D₃ product table for D₃ D₃ point group