Finite Group Databasebeta

← Group #91873

Character table — Group #91873

Order 480.

	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	20	20	20	20	20	24	24	30	30	30	1	1	20	20	20	20	20	24	24	30	30	30
order	1	2	3	4	6	12	12	5	10	4	8	8	2	2	6	4	6	12	12	10	10	4	8	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	4	4	1	2	1	-1	-1	-1	-1	0	0	0	4	4	1	2	1	-1	-1	-1	-1	0	0	0
χ₄	4	4	1	-2	1	1	1	-1	-1	0	0	0	4	4	1	-2	1	1	1	-1	-1	0	0	0
χ₅	4	-4	1	0	-1	$\sqrt{3}$	$- \sqrt{3}$	-1	1	0	0	0	4	-4	1	0	-1	$\sqrt{3}$	$- \sqrt{3}$	-1	1	0	0	0
χ₆	4	-4	1	0	-1	$- \sqrt{3}$	$\sqrt{3}$	-1	1	0	0	0	4	-4	1	0	-1	$- \sqrt{3}$	$\sqrt{3}$	-1	1	0	0	0
χ₇	4	-4	-2	0	2	0	0	-1	1	0	0	0	4	-4	-2	0	2	0	0	-1	1	0	0	0
χ₈	5	5	-1	1	-1	1	1	0	0	1	-1	-1	5	5	-1	1	-1	1	1	0	0	1	-1	-1
χ₉	5	5	-1	-1	-1	-1	-1	0	0	1	1	1	5	5	-1	-1	-1	-1	-1	0	0	1	1	1
χ₁₀	6	6	0	0	0	0	0	1	1	-2	0	0	6	6	0	0	0	0	0	1	1	-2	0	0
χ₁₁	6	-6	0	0	0	0	0	1	-1	0	$\sqrt{2}$	$- \sqrt{2}$	6	-6	0	0	0	0	0	1	-1	0	$\sqrt{2}$	$- \sqrt{2}$
χ₁₂	6	-6	0	0	0	0	0	1	-1	0	$- \sqrt{2}$	$\sqrt{2}$	6	-6	0	0	0	0	0	1	-1	0	$- \sqrt{2}$	$\sqrt{2}$
χ₁₃	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₄	1	1	1	-1	1	-1	-1	1	1	1	-1	-1	-1	-1	-1	1	-1	1	1	-1	-1	-1	1	1
χ₁₅	4	4	1	2	1	-1	-1	-1	-1	0	0	0	-4	-4	-1	-2	-1	1	1	1	1	0	0	0
χ₁₆	4	4	1	-2	1	1	1	-1	-1	0	0	0	-4	-4	-1	2	-1	-1	-1	1	1	0	0	0
χ₁₇	4	-4	1	0	-1	$\sqrt{3}$	$- \sqrt{3}$	-1	1	0	0	0	-4	4	-1	0	1	$- \sqrt{3}$	$\sqrt{3}$	1	-1	0	0	0
χ₁₈	4	-4	1	0	-1	$- \sqrt{3}$	$\sqrt{3}$	-1	1	0	0	0	-4	4	-1	0	1	$\sqrt{3}$	$- \sqrt{3}$	1	-1	0	0	0
χ₁₉	4	-4	-2	0	2	0	0	-1	1	0	0	0	-4	4	2	0	-2	0	0	1	-1	0	0	0
χ₂₀	5	5	-1	1	-1	1	1	0	0	1	-1	-1	-5	-5	1	-1	1	-1	-1	0	0	-1	1	1
χ₂₁	5	5	-1	-1	-1	-1	-1	0	0	1	1	1	-5	-5	1	1	1	1	1	0	0	-1	-1	-1
χ₂₂	6	6	0	0	0	0	0	1	1	-2	0	0	-6	-6	0	0	0	0	0	-1	-1	2	0	0
χ₂₃	6	-6	0	0	0	0	0	1	-1	0	$\sqrt{2}$	$- \sqrt{2}$	-6	6	0	0	0	0	0	-1	1	0	$- \sqrt{2}$	$\sqrt{2}$
χ₂₄	6	-6	0	0	0	0	0	1	-1	0	$- \sqrt{2}$	$\sqrt{2}$	-6	6	0	0	0	0	0	-1	1	0	$\sqrt{2}$	$- \sqrt{2}$