Finite Group Databasebeta

← Group #91868

Character table — Group #91868

Order 480.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉
size	1	1	2	15	15	20	20	20	20	24	24	24	24	30	40	40	40	60	60
order	1	2	4	2	2	2	2	3	6	5	10	20	20	4	6	6	12	4	4
χ₁	1	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	-1
χ₃	1	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	1
χ₅	2	-2	0	-2	2	0	0	2	-2	2	-2	0	0	0	0	0	0	0	0
χ₆	4	4	4	0	0	2	2	1	1	-1	-1	-1	-1	0	-1	-1	1	0	0
χ₇	4	4	4	0	0	-2	-2	1	1	-1	-1	-1	-1	0	1	1	1	0	0
χ₈	4	4	-4	0	0	2	-2	1	1	-1	-1	1	1	0	-1	1	-1	0	0
χ₉	4	4	-4	0	0	-2	2	1	1	-1	-1	1	1	0	1	-1	-1	0	0
χ₁₀	5	5	5	1	1	1	1	-1	-1	0	0	0	0	1	1	1	-1	-1	-1
χ₁₁	5	5	5	1	1	-1	-1	-1	-1	0	0	0	0	1	-1	-1	-1	1	1
χ₁₂	5	5	-5	1	1	1	-1	-1	-1	0	0	0	0	-1	1	-1	1	-1	1
χ₁₃	5	5	-5	1	1	-1	1	-1	-1	0	0	0	0	-1	-1	1	1	1	-1
χ₁₄	6	6	6	-2	-2	0	0	0	0	1	1	1	1	-2	0	0	0	0	0
χ₁₅	6	6	-6	-2	-2	0	0	0	0	1	1	-1	-1	2	0	0	0	0	0
χ₁₆	6	-6	0	2	-2	0	0	0	0	1	-1	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	0	0	0	0
χ₁₇	6	-6	0	2	-2	0	0	0	0	1	-1	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	0	0	0	0
χ₁₈	8	-8	0	0	0	0	0	2	-2	-2	2	0	0	0	0	0	0	0	0
χ₁₉	10	-10	0	-2	2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0

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