Group #13088293 — character table

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁	C₂₂	C₂₃	C₂₄	C₂₅	C₂₆	C₂₇	C₂₈	C₂₉	C₃₀	C₃₁	C₃₂	C₃₃	C₃₄	C₃₅	C₃₆
size	1	1	2	2	3	3	20	20	20	20	20	24	24	30	30	30	40	40	40	40	40	48	48	60	60	60	60	60	60	60	60	72	72	90	90	90
order	1	2	3	6	4	4	2	3	6	6	6	5	10	4	8	8	3	6	6	6	6	15	30	4	12	12	12	12	12	24	24	20	20	2	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	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	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	-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	-1	-1	1	1	1	-1	-1	-1	-1	-1	1	1
χ₅	2	2	-1	-1	0	0	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	-1	-1	-1	0	0	0	0	0
χ₆	2	2	-1	-1	0	0	-2	2	-2	-2	2	2	2	2	-2	-2	-1	1	-1	1	1	-1	-1	0	0	0	0	0	-1	1	1	0	0	0	0	0
χ₇	4	4	4	4	4	4	2	1	-1	-1	1	-1	-1	0	0	0	1	2	1	-1	-1	-1	-1	2	1	1	-1	-1	0	0	0	-1	-1	0	0	0
χ₈	4	4	4	4	4	4	-2	1	1	1	1	-1	-1	0	0	0	1	-2	1	1	1	-1	-1	-2	1	1	1	1	0	0	0	-1	-1	0	0	0
χ₉	4	4	4	4	-4	-4	2	1	-1	-1	1	-1	-1	0	0	0	1	2	1	-1	-1	-1	-1	-2	-1	-1	1	1	0	0	0	1	1	0	0	0
χ₁₀	4	4	4	4	-4	-4	-2	1	1	1	1	-1	-1	0	0	0	1	-2	1	1	1	-1	-1	2	-1	-1	-1	-1	0	0	0	1	1	0	0	0
χ₁₁	4	-4	4	-4	$4 i$	$- 4 i$	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	-1	-1	1	0	0	0	1	0	-1	$- i \sqrt{3}$	$i \sqrt{3}$	-1	1	0	$i$	$- i$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	$i$	$- i$	0	0	0
χ₁₂	4	-4	4	-4	$4 i$	$- 4 i$	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	-1	-1	1	0	0	0	1	0	-1	$i \sqrt{3}$	$- i \sqrt{3}$	-1	1	0	$i$	$- i$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	$i$	$- i$	0	0	0
χ₁₃	4	-4	4	-4	$4 i$	$- 4 i$	0	-2	0	0	2	-1	1	0	0	0	-2	0	2	0	0	-1	1	0	$- 2 i$	$2 i$	0	0	0	0	0	$i$	$- i$	0	0	0
χ₁₄	4	-4	4	-4	$- 4 i$	$4 i$	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	-1	-1	1	0	0	0	1	0	-1	$- i \sqrt{3}$	$i \sqrt{3}$	-1	1	0	$- i$	$i$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	$- i$	$i$	0	0	0
χ₁₅	4	-4	4	-4	$- 4 i$	$4 i$	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	-1	-1	1	0	0	0	1	0	-1	$i \sqrt{3}$	$- i \sqrt{3}$	-1	1	0	$- i$	$i$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	$- i$	$i$	0	0	0
χ₁₆	4	-4	4	-4	$- 4 i$	$4 i$	0	-2	0	0	2	-1	1	0	0	0	-2	0	2	0	0	-1	1	0	$2 i$	$- 2 i$	0	0	0	0	0	$- i$	$i$	0	0	0
χ₁₇	5	5	5	5	5	5	1	-1	1	1	-1	0	0	1	-1	-1	-1	1	-1	1	1	0	0	1	-1	-1	1	1	1	-1	-1	0	0	1	-1	-1
χ₁₈	5	5	5	5	5	5	-1	-1	-1	-1	-1	0	0	1	1	1	-1	-1	-1	-1	-1	0	0	-1	-1	-1	-1	-1	1	1	1	0	0	1	1	1
χ₁₉	5	5	5	5	-5	-5	1	-1	1	1	-1	0	0	1	-1	-1	-1	1	-1	1	1	0	0	-1	1	1	-1	-1	1	-1	-1	0	0	-1	1	1
χ₂₀	5	5	5	5	-5	-5	-1	-1	-1	-1	-1	0	0	1	1	1	-1	-1	-1	-1	-1	0	0	1	1	1	1	1	1	1	1	0	0	-1	-1	-1
χ₂₁	6	6	6	6	6	6	0	0	0	0	0	1	1	-2	0	0	0	0	0	0	0	1	1	0	0	0	0	0	-2	0	0	1	1	-2	0	0
χ₂₂	6	6	6	6	-6	-6	0	0	0	0	0	1	1	-2	0	0	0	0	0	0	0	1	1	0	0	0	0	0	-2	0	0	-1	-1	2	0	0
χ₂₃	6	-6	6	-6	$6 i$	$- 6 i$	0	0	0	0	0	1	-1	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	1	-1	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i$	$i$	0	$\sqrt{2}$	$- \sqrt{2}$
χ₂₄	6	-6	6	-6	$6 i$	$- 6 i$	0	0	0	0	0	1	-1	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	1	-1	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i$	$i$	0	$- \sqrt{2}$	$\sqrt{2}$
χ₂₅	6	-6	6	-6	$- 6 i$	$6 i$	0	0	0	0	0	1	-1	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	1	-1	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i$	$- i$	0	$- \sqrt{2}$	$\sqrt{2}$
χ₂₆	6	-6	6	-6	$- 6 i$	$6 i$	0	0	0	0	0	1	-1	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	1	-1	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i$	$- i$	0	$\sqrt{2}$	$- \sqrt{2}$
χ₂₇	8	8	-4	-4	0	0	4	2	-2	-2	2	-2	-2	0	0	0	-1	-2	-1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	8	8	-4	-4	0	0	-4	2	2	2	2	-2	-2	0	0	0	-1	2	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	8	-8	-4	4	0	0	0	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-2	-2	2	0	0	0	-1	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	8	-8	-4	4	0	0	0	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-2	-2	2	0	0	0	-1	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	8	-8	-4	4	0	0	0	-4	0	0	4	-2	2	0	0	0	2	0	-2	0	0	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	10	10	-5	-5	0	0	2	-2	2	2	-2	0	0	2	-2	-2	1	-1	1	-1	-1	0	0	0	0	0	0	0	-1	1	1	0	0	0	0	0
χ₃₃	10	10	-5	-5	0	0	-2	-2	-2	-2	-2	0	0	2	2	2	1	1	1	1	1	0	0	0	0	0	0	0	-1	-1	-1	0	0	0	0	0
χ₃₄	12	12	-6	-6	0	0	0	0	0	0	0	2	2	-4	0	0	0	0	0	0	0	-1	-1	0	0	0	0	0	2	0	0	0	0	0	0	0
χ₃₅	12	-12	-6	6	0	0	0	0	0	0	0	2	-2	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	-1	1	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0
χ₃₆	12	-12	-6	6	0	0	0	0	0	0	0	2	-2	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	-1	1	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0

Character table — Group #13088293