Table 1. Character table for the point group C_3v.

C3v	E	2C3	3σv	Linear	Quadratic	Cubic
A1	+1	+1	+1	z	x2 + y2, z2	z3, x(x2 − 3y2), z(x2 + y2)
A2	+1	+1	−1	Rz	—	y(3x2 − y2)
E	+2	−1	0	(x, y), (Rx, Ry)	(x2 − y2, xy), (xz, yz)	(xz2, yz2), (xyz, z(x2 − y2)), (x(x2 + y2), y(x2 + y2))