Character Tables

C₇ Character Table

C₇	E	C₇	C₇²	C₇³	C₇⁴	C₇⁵	C₇⁶	Linear Functions	Quadratic Functions
A	1	1	1	1	1	1	1	z, R_z	x² + y², z²
E₁	1	ε	ε²	ε³	ε^3*	ε^2*	ε*	(x,y), (R_x,R_y)	(xz,yz)
E₁	1	ε*	ε^2*	ε^3*	ε³	ε²	ε	(x,y), (R_x,R_y)	(xz,yz)
E₂	1	ε²	ε^3*	ε*	ε	ε³	ε^2*		(x² - y²,xy)
E₂	1	ε^2*	ε³	ε	ε*	ε^3*	ε²		(x² - y²,xy)
E₃	1	ε³	ε*	ε²	ε^2*	ε	ε^3*
E₃	1	ε^3*	ε	ε^2*	ε²	ε*	ε³

ε = e^(2πi)/7, ε* = e^(2π-i)/7
i = -1^½

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