Group #11921689 — 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	C₅₁	C₅₂	C₅₃	C₅₄	C₅₅	C₅₆	C₅₇
size	1	1	1	1	2	2	2	2	4	4	4	6	6	6	6	8	8	8	8	12	12	12	12	12	12	16	16	16	16	16	16	16	16	16	16	24	24	24	24	24	24	24	24	36	36	36	36	36	36	48	48	48	48	48	48	72	72
order	1	2	2	2	3	6	6	6	4	12	12	2	2	4	4	3	6	6	6	4	4	8	8	12	12	3	6	6	6	12	12	12	12	12	12	4	4	8	12	24	24	24	24	2	4	4	4	8	8	6	6	12	12	12	12	2	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	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	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	-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	-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	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
χ₆	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	1	-1	1	-1	-1	1	1
χ₇	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	-1	1	-1	1	1	1	1
χ₈	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	-1	-1	1	1	1	-1	-1
χ₉	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	2	2	0	0	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	2	0	0	0	0	2	2	0	0	0	0	-1	-1	0	0	-1	-1	0	0
χ₁₀	2	2	2	2	2	2	2	2	2	2	2	-2	-2	2	2	-1	-1	-1	-1	-2	2	0	0	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	2	0	0	0	0	-2	-2	0	0	0	0	1	1	0	0	1	1	0	0
χ₁₁	2	2	2	2	2	2	2	2	-2	-2	-2	2	2	2	2	-1	-1	-1	-1	-2	-2	0	0	2	2	-1	-1	-1	-1	1	1	1	1	1	1	0	0	0	-2	0	0	0	0	-2	2	0	0	0	0	-1	-1	0	0	1	1	0	0
χ₁₂	2	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	2	2	-1	-1	-1	-1	2	-2	0	0	2	2	-1	-1	-1	-1	1	1	1	1	1	1	0	0	0	-2	0	0	0	0	2	-2	0	0	0	0	1	1	0	0	-1	-1	0	0
χ₁₃	2	2	2	2	-1	-1	-1	-1	2	-1	-1	0	0	2	2	2	2	2	2	0	2	2	2	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0
χ₁₄	2	2	2	2	-1	-1	-1	-1	2	-1	-1	0	0	2	2	2	2	2	2	0	2	-2	-2	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-2	-2	-2	-1	1	1	1	1	0	0	0	0	0	0	0	0	1	1	0	0	0	0
χ₁₅	2	2	2	2	-1	-1	-1	-1	-2	1	1	0	0	2	2	2	2	2	2	0	-2	2	2	-1	-1	-1	-1	-1	-1	-2	-2	1	1	1	1	2	-2	-2	1	-1	-1	1	1	0	0	0	0	0	0	0	0	-1	1	0	0	0	0
χ₁₆	2	2	2	2	-1	-1	-1	-1	-2	1	1	0	0	2	2	2	2	2	2	0	-2	-2	-2	-1	-1	-1	-1	-1	-1	-2	-2	1	1	1	1	-2	2	2	1	1	1	-1	-1	0	0	0	0	0	0	0	0	1	-1	0	0	0	0
χ₁₇	2	-2	2	-2	2	-2	2	-2	0	0	0	0	0	2	-2	2	-2	-2	2	0	0	0	0	2	-2	2	2	-2	-2	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
χ₁₈	2	-2	2	-2	2	-2	2	-2	0	0	0	0	0	2	-2	2	-2	-2	2	0	0	0	0	2	-2	2	2	-2	-2	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
χ₁₉	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	0	0	0	0	3	-1	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	-1	-1	1	-1	1	1	1	1	-1	-1	-1	-1	1	1	0	0	-1	-1	0	0	-1	1
χ₂₀	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	0	0	0	0	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	0	0	1	1	0	0	1	-1
χ₂₁	3	3	3	3	3	3	3	3	3	3	3	-3	-3	-1	-1	0	0	0	0	-3	-1	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	-1	-1	1	-1	1	1	1	1	1	1	1	1	-1	-1	0	0	-1	-1	0	0	1	-1
χ₂₂	3	3	3	3	3	3	3	3	3	3	3	-3	-3	-1	-1	0	0	0	0	-3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	1	1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	1	0	0	1	1	0	0	-1	1
χ₂₃	3	3	3	3	3	3	3	3	-3	-3	-3	3	3	-1	-1	0	0	0	0	-3	1	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	-1	1	-1	1	1	1	-1	-1	1	-1	-1	-1	1	1	0	0	-1	1	0	0	1	-1
χ₂₄	3	3	3	3	3	3	3	3	-3	-3	-3	3	3	-1	-1	0	0	0	0	-3	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	1	-1	1	1	-1	-1	1	1	1	-1	1	1	-1	-1	0	0	1	-1	0	0	-1	1
χ₂₅	3	3	3	3	3	3	3	3	-3	-3	-3	-3	-3	-1	-1	0	0	0	0	3	1	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	-1	1	-1	1	1	1	-1	-1	-1	1	1	1	-1	-1	0	0	-1	1	0	0	-1	1
χ₂₆	3	3	3	3	3	3	3	3	-3	-3	-3	-3	-3	-1	-1	0	0	0	0	3	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	1	-1	1	1	-1	-1	1	1	-1	1	-1	-1	1	1	0	0	1	-1	0	0	1	-1
χ₂₇	4	4	4	4	-2	-2	-2	-2	4	-2	-2	0	0	4	4	-2	-2	-2	-2	0	4	0	0	-2	-2	1	1	1	1	-2	-2	1	1	1	1	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	4	4	-2	-2	-2	-2	-4	2	2	0	0	4	4	-2	-2	-2	-2	0	-4	0	0	-2	-2	1	1	1	1	2	2	-1	-1	-1	-1	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	-4	-4	4	4	-4	-4	0	0	0	0	0	0	0	-2	2	-2	2	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	-4	-4	4	4	-4	-4	0	0	0	0	0	0	0	-2	2	-2	2	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	4	-4	-4	-2	-2	2	2	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	-2	2	-2	2	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	1	-1	-1	1	0	0	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$i \sqrt{6}$	$- i \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	4	-4	-4	-2	-2	2	2	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	-2	2	-2	2	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	1	-1	-1	1	0	0	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- i \sqrt{6}$	$i \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	4	-4	-4	-2	-2	2	2	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	-2	2	-2	2	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	1	-1	-1	1	0	0	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- i \sqrt{6}$	$i \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	4	-4	-4	-2	-2	2	2	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	-2	2	-2	2	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	1	-1	-1	1	0	0	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$i \sqrt{6}$	$- i \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	-4	4	-4	4	-4	4	-4	0	0	0	0	0	4	-4	-2	2	2	-2	0	0	0	0	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
χ₃₆	4	-4	4	-4	-2	2	-2	2	0	0	0	0	0	4	-4	4	-4	-4	4	0	0	0	0	-2	2	-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
χ₃₇	4	-4	4	-4	-2	2	-2	2	0	0	0	0	0	4	-4	-2	2	2	-2	0	0	0	0	-2	2	1	1	-1	-1	0	0	$3 i$	$- 3 i$	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	-4	4	-4	-2	2	-2	2	0	0	0	0	0	4	-4	-2	2	2	-2	0	0	0	0	-2	2	1	1	-1	-1	0	0	$- 3 i$	$3 i$	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	4	-4	-4	4	4	-4	-4	4	0	0	0	4	-4	0	0	1	1	-1	-1	0	0	0	0	0	0	1	-1	1	-1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	0
χ₄₀	4	-4	-4	4	4	-4	-4	4	0	0	0	4	-4	0	0	1	1	-1	-1	0	0	0	0	0	0	1	-1	1	-1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	0
χ₄₁	4	-4	-4	4	4	-4	-4	4	0	0	0	4	-4	0	0	-2	-2	2	2	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	0	0	0	-2	2	0	0	0	0	0	0
χ₄₂	4	-4	-4	4	4	-4	-4	4	0	0	0	-4	4	0	0	1	1	-1	-1	0	0	0	0	0	0	1	-1	1	-1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	0
χ₄₃	4	-4	-4	4	4	-4	-4	4	0	0	0	-4	4	0	0	1	1	-1	-1	0	0	0	0	0	0	1	-1	1	-1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	0
χ₄₄	4	-4	-4	4	4	-4	-4	4	0	0	0	-4	4	0	0	-2	-2	2	2	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	0	0	0	2	-2	0	0	0	0	0	0
χ₄₅	6	6	6	6	-3	-3	-3	-3	6	-3	-3	0	0	-2	-2	0	0	0	0	0	-2	2	2	1	1	0	0	0	0	0	0	0	0	0	0	-2	-2	2	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	0	0	0	0
χ₄₆	6	6	6	6	-3	-3	-3	-3	6	-3	-3	0	0	-2	-2	0	0	0	0	0	-2	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	2	2	-2	1	1	1	1	1	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0
χ₄₇	6	6	6	6	-3	-3	-3	-3	-6	3	3	0	0	-2	-2	0	0	0	0	0	2	2	2	1	1	0	0	0	0	0	0	0	0	0	0	-2	2	-2	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	1	-1	0	0	0	0
χ₄₈	6	6	6	6	-3	-3	-3	-3	-6	3	3	0	0	-2	-2	0	0	0	0	0	2	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	2	-2	2	-1	1	1	-1	-1	0	0	0	0	0	0	0	0	-1	1	0	0	0	0
χ₄₉	6	-6	6	-6	6	-6	6	-6	0	0	0	0	0	-2	2	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	0	0	0	$2 i$	$- 2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0
χ₅₀	6	-6	6	-6	6	-6	6	-6	0	0	0	0	0	-2	2	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	0	0	0	$- 2 i$	$2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0
χ₅₁	8	8	-8	-8	8	8	-8	-8	0	0	0	0	0	0	0	2	-2	2	-2	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	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	8	8	-8	-8	-4	-4	4	4	0	$- 4 i \sqrt{3}$	$4 i \sqrt{3}$	0	0	0	0	2	-2	2	-2	0	0	0	0	0	0	-1	1	1	-1	0	0	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	8	8	-8	-8	-4	-4	4	4	0	$4 i \sqrt{3}$	$- 4 i \sqrt{3}$	0	0	0	0	2	-2	2	-2	0	0	0	0	0	0	-1	1	1	-1	0	0	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	8	-8	-8	8	-4	4	4	-4	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	-1	1	-1	1	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	8	-8	-8	8	-4	4	4	-4	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	-1	1	-1	1	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₆	8	-8	-8	8	-4	4	4	-4	0	0	0	0	0	0	0	-4	-4	4	4	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	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	12	-12	12	-12	-6	6	-6	6	0	0	0	0	0	-4	4	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #11921689