Group #14515008 — 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	C₃₇	C₃₈	C₃₉	C₄₀	C₄₁	C₄₂	C₄₃	C₄₄	C₄₅
size	1	1	1	1	2	2	4	4	20	20	20	20	24	24	24	24	30	30	40	40	40	40	40	40	40	40	48	48	48	48	48	48	60	60	60	60	60	80	80	80	80	80	120	120	120
order	1	2	2	2	4	4	4	4	3	6	6	6	5	10	10	10	4	4	8	8	12	12	24	24	24	24	20	20	20	20	20	20	4	8	8	8	8	4	12	12	12	12	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	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	-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	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	-1	1	-1	-1	1	1	-1	1	1
χ₅	2	2	2	2	-2	-2	0	0	2	2	2	2	2	2	2	2	2	2	0	0	-2	-2	0	0	0	0	-2	-2	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₆	2	-2	-2	2	0	0	0	0	2	-2	-2	2	2	-2	-2	2	-2	2	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0
χ₇	2	-2	-2	2	0	0	0	0	2	-2	-2	2	2	-2	-2	2	-2	2	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0
χ₈	4	4	4	4	4	4	4	4	1	1	1	1	-1	-1	-1	-1	0	0	2	2	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	2	1	1	-1	-1	0	0	0
χ₉	4	4	4	4	4	4	4	4	1	1	1	1	-1	-1	-1	-1	0	0	-2	-2	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	-2	1	1	1	1	0	0	0
χ₁₀	4	4	4	4	4	4	-4	-4	1	1	1	1	-1	-1	-1	-1	0	0	2	2	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	-2	-1	-1	1	1	0	0	0
χ₁₁	4	4	4	4	4	4	-4	-4	1	1	1	1	-1	-1	-1	-1	0	0	-2	-2	1	1	1	1	1	1	-1	-1	1	1	1	1	0	0	0	0	0	2	-1	-1	-1	-1	0	0	0
χ₁₂	4	4	-4	-4	4	-4	0	0	-2	2	-2	2	-1	1	-1	1	0	0	0	0	-2	2	0	0	0	0	1	-1	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₃	4	4	-4	-4	4	-4	0	0	-2	2	-2	2	-1	1	-1	1	0	0	0	0	-2	2	0	0	0	0	1	-1	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₄	4	4	-4	-4	-4	4	$4 i$	$- 4 i$	1	-1	1	-1	-1	1	-1	1	0	0	0	0	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	-1	1	$i$	$- i$	$i$	$- i$	0	0	0	0	0	0	$i$	$- i$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0
χ₁₅	4	4	-4	-4	-4	4	$4 i$	$- 4 i$	1	-1	1	-1	-1	1	-1	1	0	0	0	0	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	-1	1	$i$	$- i$	$i$	$- i$	0	0	0	0	0	0	$i$	$- i$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0
χ₁₆	4	4	-4	-4	-4	4	$4 i$	$- 4 i$	-2	2	-2	2	-1	1	-1	1	0	0	0	0	2	-2	0	0	0	0	-1	1	$i$	$- i$	$i$	$- i$	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0
χ₁₇	4	4	-4	-4	-4	4	$- 4 i$	$4 i$	1	-1	1	-1	-1	1	-1	1	0	0	0	0	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	-1	1	$- i$	$i$	$- i$	$i$	0	0	0	0	0	0	$- i$	$i$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0
χ₁₈	4	4	-4	-4	-4	4	$- 4 i$	$4 i$	1	-1	1	-1	-1	1	-1	1	0	0	0	0	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	-1	1	$- i$	$i$	$- i$	$i$	0	0	0	0	0	0	$- i$	$i$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0
χ₁₉	4	4	-4	-4	-4	4	$- 4 i$	$4 i$	-2	2	-2	2	-1	1	-1	1	0	0	0	0	2	-2	0	0	0	0	-1	1	$- i$	$i$	$- i$	$i$	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0
χ₂₀	5	5	5	5	5	5	5	5	-1	-1	-1	-1	0	0	0	0	1	1	1	1	-1	-1	1	1	1	1	0	0	0	0	0	0	1	-1	-1	-1	-1	1	-1	-1	1	1	1	-1	-1
χ₂₁	5	5	5	5	5	5	5	5	-1	-1	-1	-1	0	0	0	0	1	1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	1	1	1	1	1	-1	-1	-1	-1	-1	1	1	1
χ₂₂	5	5	5	5	5	5	-5	-5	-1	-1	-1	-1	0	0	0	0	1	1	1	1	-1	-1	1	1	1	1	0	0	0	0	0	0	1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	1	1
χ₂₃	5	5	5	5	5	5	-5	-5	-1	-1	-1	-1	0	0	0	0	1	1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	1	1	1	1	1	1	1	1	1	1	-1	-1	-1
χ₂₄	6	6	6	6	6	6	6	6	0	0	0	0	1	1	1	1	-2	-2	0	0	0	0	0	0	0	0	1	1	1	1	1	1	-2	0	0	0	0	0	0	0	0	0	-2	0	0
χ₂₅	6	6	6	6	6	6	-6	-6	0	0	0	0	1	1	1	1	-2	-2	0	0	0	0	0	0	0	0	1	1	-1	-1	-1	-1	-2	0	0	0	0	0	0	0	0	0	2	0	0
χ₂₆	6	6	6	6	-6	-6	0	0	0	0	0	0	1	1	1	1	-2	-2	0	0	0	0	0	0	0	0	-1	-1	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	6	6	6	6	-6	-6	0	0	0	0	0	0	1	1	1	1	-2	-2	0	0	0	0	0	0	0	0	-1	-1	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	6	6	-6	-6	-6	6	$6 i$	$- 6 i$	0	0	0	0	1	-1	1	-1	0	0	0	0	0	0	0	0	0	0	1	-1	$- i$	$i$	$- i$	$i$	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$
χ₂₉	6	6	-6	-6	-6	6	$6 i$	$- 6 i$	0	0	0	0	1	-1	1	-1	0	0	0	0	0	0	0	0	0	0	1	-1	$- i$	$i$	$- i$	$i$	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$
χ₃₀	6	6	-6	-6	-6	6	$- 6 i$	$6 i$	0	0	0	0	1	-1	1	-1	0	0	0	0	0	0	0	0	0	0	1	-1	$i$	$- i$	$i$	$- i$	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$
χ₃₁	6	6	-6	-6	-6	6	$- 6 i$	$6 i$	0	0	0	0	1	-1	1	-1	0	0	0	0	0	0	0	0	0	0	1	-1	$i$	$- i$	$i$	$- i$	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$
χ₃₂	8	8	8	8	-8	-8	0	0	2	2	2	2	-2	-2	-2	-2	0	0	0	0	-2	-2	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	8	8	-8	-8	8	-8	0	0	2	-2	2	-2	-2	2	-2	2	0	0	0	0	2	-2	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	8	-8	8	-8	0	0	0	0	2	2	-2	-2	-2	-2	2	2	0	0	0	0	0	0	$- i \sqrt{6}$	$i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	8	-8	8	-8	0	0	0	0	2	2	-2	-2	-2	-2	2	2	0	0	0	0	0	0	$i \sqrt{6}$	$- i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	8	-8	8	-8	0	0	0	0	-4	-4	4	4	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	8	-8	-8	8	0	0	0	0	2	-2	-2	2	-2	2	2	-2	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	8	-8	-8	8	0	0	0	0	2	-2	-2	2	-2	2	2	-2	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	10	10	10	10	-10	-10	0	0	-2	-2	-2	-2	0	0	0	0	2	2	0	0	2	2	0	0	0	0	0	0	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	10	-10	-10	10	0	0	0	0	-2	2	2	-2	0	0	0	0	-2	2	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0
χ₄₁	10	-10	-10	10	0	0	0	0	-2	2	2	-2	0	0	0	0	-2	2	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0
χ₄₂	12	12	-12	-12	12	-12	0	0	0	0	0	0	2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	12	-12	12	-12	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0
χ₄₄	12	-12	12	-12	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0
χ₄₅	12	-12	-12	12	0	0	0	0	0	0	0	0	2	-2	-2	2	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #14515008