Finite Group Databasebeta

← Group #10623940

Character table — Group #10623940

Order 720.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃
size	1	1	40	40	40	40	72	72	72	72	90	90	90
order	1	2	3	3	6	6	5	5	10	10	4	8	8
χ₁	1	1	1	1	1	1	1	1	1	1	1	1	1
χ₂	4	-4	1	-2	2	-1	-1	-1	1	1	0	0	0
χ₃	4	-4	-2	1	-1	2	-1	-1	1	1	0	0	0
χ₄	5	5	2	-1	-1	2	0	0	0	0	1	-1	-1
χ₅	5	5	-1	2	2	-1	0	0	0	0	1	-1	-1
χ₆	8	8	-1	-1	-1	-1	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0
χ₇	8	8	-1	-1	-1	-1	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0
χ₈	8	-8	-1	-1	1	1	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0
χ₉	8	-8	-1	-1	1	1	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0
χ₁₀	9	9	0	0	0	0	-1	-1	-1	-1	1	1	1
χ₁₁	10	10	1	1	1	1	0	0	0	0	-2	0	0
χ₁₂	10	-10	1	1	-1	-1	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$
χ₁₃	10	-10	1	1	-1	-1	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$