Finite Group Databasebeta

← Group #10624297

Character table — Group #10624297

Order 720.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄
size	1	40	40	45	72	72	90	1	40	40	45	72	72	90
order	1	3	3	2	5	5	4	2	6	6	2	10	10	4
χ₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1
χ₂	5	2	-1	1	0	0	-1	5	2	-1	1	0	0	-1
χ₃	5	-1	2	1	0	0	-1	5	-1	2	1	0	0	-1
χ₄	8	-1	-1	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0
χ₅	8	-1	-1	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0
χ₆	9	0	0	1	-1	-1	1	9	0	0	1	-1	-1	1
χ₇	10	1	1	-2	0	0	0	10	1	1	-2	0	0	0
χ₈	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1
χ₉	5	2	-1	1	0	0	-1	-5	-2	1	-1	0	0	1
χ₁₀	5	-1	2	1	0	0	-1	-5	1	-2	-1	0	0	1
χ₁₁	8	-1	-1	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	-8	1	1	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0
χ₁₂	8	-1	-1	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	-8	1	1	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0
χ₁₃	9	0	0	1	-1	-1	1	-9	0	0	-1	1	1	-1
χ₁₄	10	1	1	-2	0	0	0	-10	-1	-1	2	0	0	0