Group #14512410 — 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	C₄₆	C₄₇	C₄₈	C₄₉	C₅₀
size	1	1	2	4	4	4	4	5	5	6	6	8	8	10	12	12	16	20	20	24	24	24	24	24	24	24	30	30	32	32	32	32	40	40	48	48	60	60	60	60	80	80	80	80	80	120	120	120	120	120
order	1	2	4	5	10	20	20	2	2	2	4	3	6	4	4	4	12	4	4	8	10	20	20	20	20	20	2	4	15	30	60	60	6	6	40	40	4	4	4	4	12	12	12	12	12	4	4	8	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	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	-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	-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	1	1	-1	1	1
χ₅	1	1	1	1	1	1	1	-1	-1	1	1	1	1	-1	1	1	1	$i$	$- i$	1	1	1	1	1	1	1	-1	-1	1	1	1	1	-1	-1	1	1	$i$	$- i$	-1	-1	-1	$i$	$i$	$- i$	$- i$	$i$	$- i$	-1	$i$	$- i$
χ₆	1	1	1	1	1	1	1	-1	-1	1	1	1	1	-1	1	1	1	$- i$	$i$	1	1	1	1	1	1	1	-1	-1	1	1	1	1	-1	-1	1	1	$- i$	$i$	-1	-1	-1	$- i$	$- i$	$i$	$i$	$- i$	$i$	-1	$- i$	$i$
χ₇	1	1	1	1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	1	$i$	$- i$	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	$i$	$- i$	1	1	-1	$i$	$i$	$- i$	$- i$	$- i$	$i$	1	$- i$	$i$
χ₈	1	1	1	1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	1	$- i$	$i$	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	$- i$	$i$	1	1	-1	$- i$	$- i$	$i$	$i$	$i$	$- i$	1	$i$	$- i$
χ₉	2	2	2	2	2	2	2	2	2	2	2	-1	-1	2	0	0	-1	2	2	0	2	2	0	0	0	0	2	2	-1	-1	-1	-1	-1	-1	0	0	2	2	0	0	-1	-1	-1	-1	-1	0	0	0	0	0
χ₁₀	2	2	2	2	2	2	2	2	2	2	2	-1	-1	2	0	0	-1	-2	-2	0	2	2	0	0	0	0	2	2	-1	-1	-1	-1	-1	-1	0	0	-2	-2	0	0	-1	1	1	1	1	0	0	0	0	0
χ₁₁	2	2	2	2	2	2	2	-2	-2	2	2	-1	-1	-2	0	0	-1	$2 i$	$- 2 i$	0	2	2	0	0	0	0	-2	-2	-1	-1	-1	-1	1	1	0	0	$2 i$	$- 2 i$	0	0	1	$- i$	$- i$	$i$	$i$	0	0	0	0	0
χ₁₂	2	2	2	2	2	2	2	-2	-2	2	2	-1	-1	-2	0	0	-1	$- 2 i$	$2 i$	0	2	2	0	0	0	0	-2	-2	-1	-1	-1	-1	1	1	0	0	$- 2 i$	$2 i$	0	0	1	$i$	$i$	$- i$	$- i$	0	0	0	0	0
χ₁₃	2	2	-2	2	2	-2	-2	2	2	-2	2	2	2	-2	0	0	-2	0	0	0	-2	2	0	0	0	0	-2	2	2	2	-2	-2	2	2	0	0	0	0	0	0	-2	0	0	0	0	0	0	0	0	0
χ₁₄	2	2	-2	2	2	-2	-2	2	2	-2	2	-1	-1	-2	0	0	1	0	0	0	-2	2	0	0	0	0	-2	2	-1	-1	1	1	-1	-1	0	0	0	0	0	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0
χ₁₅	2	2	-2	2	2	-2	-2	2	2	-2	2	-1	-1	-2	0	0	1	0	0	0	-2	2	0	0	0	0	-2	2	-1	-1	1	1	-1	-1	0	0	0	0	0	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0
χ₁₆	2	2	-2	2	2	-2	-2	-2	-2	-2	2	2	2	2	0	0	-2	0	0	0	-2	2	0	0	0	0	2	-2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0
χ₁₇	2	2	-2	2	2	-2	-2	-2	-2	-2	2	-1	-1	2	0	0	1	0	0	0	-2	2	0	0	0	0	2	-2	-1	-1	1	1	1	1	0	0	0	0	0	0	-1	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0
χ₁₈	2	2	-2	2	2	-2	-2	-2	-2	-2	2	-1	-1	2	0	0	1	0	0	0	-2	2	0	0	0	0	2	-2	-1	-1	1	1	1	1	0	0	0	0	0	0	-1	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0
χ₁₉	3	3	3	3	3	3	3	3	3	-1	-1	0	0	3	1	1	0	3	3	-1	-1	-1	1	1	1	1	-1	-1	0	0	0	0	0	0	-1	-1	-1	-1	1	1	0	0	0	0	0	-1	-1	-1	1	1
χ₂₀	3	3	3	3	3	3	3	3	3	-1	-1	0	0	3	1	1	0	-3	-3	-1	-1	-1	1	1	1	1	-1	-1	0	0	0	0	0	0	-1	-1	1	1	1	1	0	0	0	0	0	1	1	-1	-1	-1
χ₂₁	3	3	3	3	3	3	3	3	3	-1	-1	0	0	3	-1	-1	0	3	3	1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	1	1	-1	-1	-1	-1	0	0	0	0	0	1	1	1	-1	-1
χ₂₂	3	3	3	3	3	3	3	3	3	-1	-1	0	0	3	-1	-1	0	-3	-3	1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	1	1	1	1	-1	-1	0	0	0	0	0	-1	-1	1	1	1
χ₂₃	3	3	3	3	3	3	3	-3	-3	-1	-1	0	0	-3	1	1	0	$3 i$	$- 3 i$	-1	-1	-1	1	1	1	1	1	1	0	0	0	0	0	0	-1	-1	$- i$	$i$	-1	-1	0	0	0	0	0	$- i$	$i$	1	$i$	$- i$
χ₂₄	3	3	3	3	3	3	3	-3	-3	-1	-1	0	0	-3	1	1	0	$- 3 i$	$3 i$	-1	-1	-1	1	1	1	1	1	1	0	0	0	0	0	0	-1	-1	$i$	$- i$	-1	-1	0	0	0	0	0	$i$	$- i$	1	$- i$	$i$
χ₂₅	3	3	3	3	3	3	3	-3	-3	-1	-1	0	0	-3	-1	-1	0	$3 i$	$- 3 i$	1	-1	-1	-1	-1	-1	-1	1	1	0	0	0	0	0	0	1	1	$- i$	$i$	1	1	0	0	0	0	0	$i$	$- i$	-1	$- i$	$i$
χ₂₆	3	3	3	3	3	3	3	-3	-3	-1	-1	0	0	-3	-1	-1	0	$- 3 i$	$3 i$	1	-1	-1	-1	-1	-1	-1	1	1	0	0	0	0	0	0	1	1	$i$	$- i$	1	1	0	0	0	0	0	$- i$	$i$	-1	$i$	$- i$
χ₂₇	4	4	4	-1	-1	-1	-1	0	0	4	4	4	4	0	4	4	4	0	0	4	-1	-1	-1	-1	-1	-1	0	0	-1	-1	-1	-1	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	4	-1	-1	-1	-1	0	0	4	4	4	4	0	-4	-4	4	0	0	-4	-1	-1	1	1	1	1	0	0	-1	-1	-1	-1	0	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	-4	-1	-1	1	1	0	0	-4	4	4	4	0	0	0	-4	0	0	0	1	-1	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	0	0	-1	-1	1	1	0	0	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	-4	-1	-1	1	1	0	0	-4	4	4	4	0	0	0	-4	0	0	0	1	-1	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	0	0	-1	-1	1	1	0	0	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	-4	0	4	-4	0	0	4	-4	0	0	-2	2	0	2	-2	0	0	0	0	0	0	2	-2	2	-2	0	0	-2	2	0	0	2	-2	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	-4	0	4	-4	0	0	4	-4	0	0	-2	2	0	-2	2	0	0	0	0	0	0	-2	2	-2	2	0	0	-2	2	0	0	2	-2	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	-4	0	4	-4	0	0	-4	4	0	0	-2	2	0	2	-2	0	0	0	0	0	0	2	-2	2	-2	0	0	-2	2	0	0	-2	2	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	-4	0	4	-4	0	0	-4	4	0	0	-2	2	0	-2	2	0	0	0	0	0	0	-2	2	-2	2	0	0	-2	2	0	0	-2	2	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0
χ₃₅	6	6	-6	6	6	-6	-6	6	6	2	-2	0	0	-6	0	0	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	0	0	0	0	0
χ₃₆	6	6	-6	6	6	-6	-6	-6	-6	2	-2	0	0	6	0	0	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	0	0	0	0	0
χ₃₇	8	8	8	-2	-2	-2	-2	0	0	8	8	-4	-4	0	0	0	-4	0	0	0	-2	-2	0	0	0	0	0	0	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	8	8	-8	-2	-2	2	2	0	0	-8	8	-4	-4	0	0	0	4	0	0	0	2	-2	0	0	0	0	0	0	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	8	-8	0	8	-8	0	0	8	-8	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	8	-8	0	8	-8	0	0	-8	8	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	8	-8	0	-2	2	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	0	0	0	0	-4	4	0	4	-4	0	0	0	0	0	0	$- 1 - i \sqrt{5}$	$1 + i \sqrt{5}$	$- 1 + i \sqrt{5}$	$1 - i \sqrt{5}$	0	0	1	-1	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	8	-8	0	-2	2	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	0	0	0	0	-4	4	0	-4	4	0	0	0	0	0	0	$1 + i \sqrt{5}$	$- 1 - i \sqrt{5}$	$1 - i \sqrt{5}$	$- 1 + i \sqrt{5}$	0	0	1	-1	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	8	-8	0	-2	2	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	0	0	0	0	-4	4	0	4	-4	0	0	0	0	0	0	$- 1 + i \sqrt{5}$	$1 - i \sqrt{5}$	$- 1 - i \sqrt{5}$	$1 + i \sqrt{5}$	0	0	1	-1	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	8	-8	0	-2	2	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	0	0	0	0	-4	4	0	-4	4	0	0	0	0	0	0	$1 - i \sqrt{5}$	$- 1 + i \sqrt{5}$	$1 + i \sqrt{5}$	$- 1 - i \sqrt{5}$	0	0	1	-1	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	12	12	12	-3	-3	-3	-3	0	0	-4	-4	0	0	0	4	4	0	0	0	-4	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	12	12	12	-3	-3	-3	-3	0	0	-4	-4	0	0	0	-4	-4	0	0	0	4	1	1	1	1	1	1	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	12	12	-12	-3	-3	3	3	0	0	4	-4	0	0	0	0	0	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	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	12	12	-12	-3	-3	3	3	0	0	4	-4	0	0	0	0	0	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	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	16	-16	0	-4	4	$- 4 i \sqrt{5}$	$4 i \sqrt{5}$	0	0	0	0	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	16	-16	0	-4	4	$4 i \sqrt{5}$	$- 4 i \sqrt{5}$	0	0	0	0	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #14512410