Finite Group Databasebeta

← Group #91872

Character table — Group #91872

Order 480.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈
size	1	1	2	20	20	20	20	24	24	24	24	30	30	40	40	40	60	60
order	1	2	4	2	2	3	6	5	10	20	20	2	4	6	6	12	8	8
χ₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
χ₂	1	1	1	-1	-1	1	1	1	1	1	1	1	1	-1	-1	1	-1	-1
χ₃	1	1	-1	1	-1	1	1	1	1	-1	-1	-1	1	1	-1	-1	1	-1
χ₄	1	1	-1	-1	1	1	1	1	1	-1	-1	-1	1	-1	1	-1	-1	1
χ₅	4	4	4	2	2	1	1	-1	-1	-1	-1	0	0	-1	-1	1	0	0
χ₆	4	4	4	-2	-2	1	1	-1	-1	-1	-1	0	0	1	1	1	0	0
χ₇	4	4	-4	2	-2	1	1	-1	-1	1	1	0	0	-1	1	-1	0	0
χ₈	4	4	-4	-2	2	1	1	-1	-1	1	1	0	0	1	-1	-1	0	0
χ₉	4	-4	0	0	0	-2	2	-1	1	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	0	0	0	0	0
χ₁₀	4	-4	0	0	0	-2	2	-1	1	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	0	0	0	0	0
χ₁₁	5	5	5	1	1	-1	-1	0	0	0	0	1	1	1	1	-1	-1	-1
χ₁₂	5	5	5	-1	-1	-1	-1	0	0	0	0	1	1	-1	-1	-1	1	1
χ₁₃	5	5	-5	1	-1	-1	-1	0	0	0	0	-1	1	1	-1	1	-1	1
χ₁₄	5	5	-5	-1	1	-1	-1	0	0	0	0	-1	1	-1	1	1	1	-1
χ₁₅	6	6	6	0	0	0	0	1	1	1	1	-2	-2	0	0	0	0	0
χ₁₆	6	6	-6	0	0	0	0	1	1	-1	-1	2	-2	0	0	0	0	0
χ₁₇	8	-8	0	0	0	2	-2	-2	2	0	0	0	0	0	0	0	0	0
χ₁₈	12	-12	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0

Here i is the imaginary unit (i² = −1).