Finite Group Databasebeta

← Group #11751521

Character table — Group #11751521

Order 960.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁	C₂₂	C₂₃	C₂₄
size	1	1	2	4	20	20	24	24	30	30	40	40	40	40	40	48	48	48	60	60	60	80	80	120
order	1	2	4	2	3	6	5	10	2	4	2	8	12	24	24	10	10	20	4	4	4	6	6	8
χ₁	1	1	1	1	1	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	-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	-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	1	1	-1	-1	-1
χ₅	2	2	-2	0	2	2	2	2	-2	2	0	0	-2	0	0	0	0	-2	0	0	0	0	0	0
χ₆	4	4	4	4	1	1	-1	-1	0	0	2	2	1	-1	-1	-1	-1	-1	0	0	0	1	-1	0
χ₇	4	4	4	4	1	1	-1	-1	0	0	-2	-2	1	1	1	-1	-1	-1	0	0	0	1	1	0
χ₈	4	4	4	-4	1	1	-1	-1	0	0	2	-2	1	1	1	1	1	-1	0	0	0	-1	-1	0
χ₉	4	4	4	-4	1	1	-1	-1	0	0	-2	2	1	-1	-1	1	1	-1	0	0	0	-1	1	0
χ₁₀	5	5	5	5	-1	-1	0	0	1	1	1	1	-1	1	1	0	0	0	1	-1	-1	-1	1	-1
χ₁₁	5	5	5	5	-1	-1	0	0	1	1	-1	-1	-1	-1	-1	0	0	0	1	1	1	-1	-1	1
χ₁₂	5	5	5	-5	-1	-1	0	0	1	1	1	-1	-1	-1	-1	0	0	0	-1	1	1	1	1	-1
χ₁₃	5	5	5	-5	-1	-1	0	0	1	1	-1	1	-1	1	1	0	0	0	-1	-1	-1	1	-1	1
χ₁₄	6	6	6	6	0	0	1	1	-2	-2	0	0	0	0	0	1	1	1	-2	0	0	0	0	0
χ₁₅	6	6	6	-6	0	0	1	1	-2	-2	0	0	0	0	0	-1	-1	1	2	0	0	0	0	0
χ₁₆	6	6	-6	0	0	0	1	1	2	-2	0	0	0	0	0	$- \sqrt{5}$	$\sqrt{5}$	-1	0	0	0	0	0	0
χ₁₇	6	6	-6	0	0	0	1	1	2	-2	0	0	0	0	0	$\sqrt{5}$	$- \sqrt{5}$	-1	0	0	0	0	0	0
χ₁₈	8	8	-8	0	2	2	-2	-2	0	0	0	0	-2	0	0	0	0	2	0	0	0	0	0	0
χ₁₉	8	-8	0	0	2	-2	-2	2	0	0	0	0	0	$- i \sqrt{6}$	$i \sqrt{6}$	0	0	0	0	0	0	0	0	0
χ₂₀	8	-8	0	0	2	-2	-2	2	0	0	0	0	0	$i \sqrt{6}$	$- i \sqrt{6}$	0	0	0	0	0	0	0	0	0
χ₂₁	8	-8	0	0	-4	4	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	10	10	-10	0	-2	-2	0	0	-2	2	0	0	2	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	12	-12	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0
χ₂₄	12	-12	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0

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