Group #11772022 — 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
size	1	1	2	2	2	4	4	4	4	4	4	4	4	4	4	8	8	8	8	8	8	8	8	8	8	8	8	16	16	16	16	16	16	16	16	16	18	18	18	18	36	36	72	72	72	72	72	72	72	72	144
order	1	2	2	4	4	3	3	4	4	6	6	6	6	6	6	12	12	12	12	12	12	12	12	12	12	12	12	4	12	12	12	12	12	12	12	12	8	8	8	8	8	8	16	16	16	16	16	16	16	16	4
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
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
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	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-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	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-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
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
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	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	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	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	1
χ₉	2	2	2	2	2	2	2	-2	-2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	2	2	-2	-2	2	-2	0	0	0	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	2	2	-2	-2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	-2	-2	2	2	-2	2	0	0	0	0	0	0	0	0	0
χ₁₁	2	2	-2	2	-2	2	2	0	0	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0
χ₁₂	2	2	-2	2	-2	2	2	0	0	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0
χ₁₃	2	2	-2	2	-2	2	2	0	0	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	-2	-2	0	2	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0
χ₁₄	2	2	-2	2	-2	2	2	0	0	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	-2	-2	0	2	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0
χ₁₅	2	2	-2	-2	2	2	2	0	0	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	2	2	0	0	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$- \sqrt{2}$	0
χ₁₆	2	2	-2	-2	2	2	2	0	0	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	2	2	0	0	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$\sqrt{2}$	0
χ₁₇	2	2	-2	-2	2	2	2	0	0	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	-2	-2	0	0	2	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₁₈	2	2	-2	-2	2	2	2	0	0	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	-2	-2	0	0	2	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₁₉	4	4	4	4	4	1	-2	4	4	1	1	-2	-2	1	-2	1	1	1	1	-2	-2	-2	-2	1	-2	1	-2	4	1	1	1	1	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	4	4	4	4	4	1	-2	4	4	1	1	-2	-2	1	-2	1	1	1	1	-2	-2	-2	-2	1	-2	1	-2	-4	-1	-1	-1	-1	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	4	4	4	4	4	1	-2	-4	-4	1	1	-2	-2	1	-2	-1	-1	-1	-1	2	2	2	2	1	-2	1	-2	0	3	3	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	4	4	4	4	1	-2	-4	-4	1	1	-2	-2	1	-2	-1	-1	-1	-1	2	2	2	2	1	-2	1	-2	0	-3	-3	3	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	4	4	4	4	-2	1	4	4	-2	-2	1	1	-2	1	-2	-2	-2	-2	1	1	1	1	-2	1	-2	1	4	-2	-2	-2	-2	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	4	4	4	4	-2	1	4	4	-2	-2	1	1	-2	1	-2	-2	-2	-2	1	1	1	1	-2	1	-2	1	-4	2	2	2	2	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	4	4	4	4	-2	1	-4	-4	-2	-2	1	1	-2	1	2	2	2	2	-1	-1	-1	-1	-2	1	-2	1	0	0	0	0	0	3	3	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	4	4	4	4	-2	1	-4	-4	-2	-2	1	1	-2	1	2	2	2	2	-1	-1	-1	-1	-2	1	-2	1	0	0	0	0	0	-3	-3	3	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	4	4	-4	-4	1	-2	0	0	1	1	-2	-2	1	-2	3	3	-3	-3	0	0	0	0	-1	2	-1	2	0	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	4	-4	-4	1	-2	0	0	1	1	-2	-2	1	-2	3	3	-3	-3	0	0	0	0	-1	2	-1	2	0	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	4	-4	-4	1	-2	0	0	1	1	-2	-2	1	-2	-3	-3	3	3	0	0	0	0	-1	2	-1	2	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	4	-4	-4	1	-2	0	0	1	1	-2	-2	1	-2	-3	-3	3	3	0	0	0	0	-1	2	-1	2	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	4	4	-4	-4	4	4	0	0	4	4	4	4	4	4	0	0	0	0	0	0	0	0	-4	-4	-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
χ₃₂	4	4	4	-4	-4	-2	1	0	0	-2	-2	1	1	-2	1	0	0	0	0	3	3	-3	-3	2	-1	2	-1	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	4	4	-4	-4	-2	1	0	0	-2	-2	1	1	-2	1	0	0	0	0	3	3	-3	-3	2	-1	2	-1	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	4	4	-4	-4	-2	1	0	0	-2	-2	1	1	-2	1	0	0	0	0	-3	-3	3	3	2	-1	2	-1	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	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
χ₃₅	4	4	4	-4	-4	-2	1	0	0	-2	-2	1	1	-2	1	0	0	0	0	-3	-3	3	3	2	-1	2	-1	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	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
χ₃₆	4	-4	0	0	0	4	4	2	-2	0	0	0	0	-4	-4	2	-2	2	-2	2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	-4	0	0	0	4	4	2	-2	0	0	0	0	-4	-4	2	-2	2	-2	2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	-4	0	0	0	4	4	-2	2	0	0	0	0	-4	-4	-2	2	-2	2	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	4	-4	0	0	0	4	4	-2	2	0	0	0	0	-4	-4	-2	2	-2	2	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	8	8	-8	8	-8	2	-4	0	0	-2	-2	4	4	2	-4	0	0	0	0	0	0	0	0	2	-4	-2	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
χ₄₁	8	8	-8	8	-8	-4	2	0	0	4	4	-2	-2	-4	2	0	0	0	0	0	0	0	0	-4	2	4	-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
χ₄₂	8	8	-8	-8	8	2	-4	0	0	-2	-2	4	4	2	-4	0	0	0	0	0	0	0	0	-2	4	2	-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
χ₄₃	8	8	-8	-8	8	-4	2	0	0	4	4	-2	-2	-4	2	0	0	0	0	0	0	0	0	4	-2	-4	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
χ₄₄	8	-8	0	0	0	2	-4	4	-4	6	-6	0	0	-2	4	4	-4	-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
χ₄₅	8	-8	0	0	0	2	-4	4	-4	-6	6	0	0	-2	4	-2	2	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
χ₄₆	8	-8	0	0	0	2	-4	-4	4	6	-6	0	0	-2	4	-4	4	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
χ₄₇	8	-8	0	0	0	2	-4	-4	4	-6	6	0	0	-2	4	2	-2	-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
χ₄₈	8	-8	0	0	0	-4	2	4	-4	0	0	6	-6	4	-2	-2	2	-2	2	4	-4	-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
χ₄₉	8	-8	0	0	0	-4	2	4	-4	0	0	-6	6	4	-2	-2	2	-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	0
χ₅₀	8	-8	0	0	0	-4	2	-4	4	0	0	6	-6	4	-2	2	-2	2	-2	-4	4	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
χ₅₁	8	-8	0	0	0	-4	2	-4	4	0	0	-6	6	4	-2	2	-2	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	0

Character table — Group #11772022