Group #11923775 — 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
size	1	1	2	2	2	2	2	3	3	6	6	6	6	6	6	6	6	6	12	12	12	12	12	12	12	12	12	12	32	32	32	32	32	32	32	32	32	32	32	32	72	72	72	72	72	72	72	72
order	1	2	3	4	6	12	12	2	2	2	2	4	4	4	6	6	12	12	2	4	6	6	6	6	12	12	12	12	3	3	3	6	6	6	12	12	12	12	12	12	2	2	4	4	8	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
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
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
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
χ₅	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	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₆	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	2	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	0	0	0	0	0	0	0	0
χ₇	2	2	-1	2	-1	-1	-1	2	2	2	2	2	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	-1	-1	2	-1	-1	2	2	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₈	2	2	-1	2	-1	-1	-1	2	2	2	2	2	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	-1	-1	2	-1	-1	-1	2	2	-1	-1	0	0	0	0	0	0	0	0
χ₉	2	2	-1	2	-1	-1	-1	2	2	2	2	2	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	-1	-1	2	-1	-1	-1	-1	2	2	0	0	0	0	0	0	0	0
χ₁₀	2	2	-1	-2	-1	1	1	2	2	-2	-2	-2	2	2	-1	-1	1	1	-2	2	1	1	1	1	-1	-1	-1	-1	2	-1	-1	2	-1	-1	-2	-2	1	1	1	1	0	0	0	0	0	0	0	0
χ₁₁	2	2	-1	-2	-1	1	1	2	2	-2	-2	-2	2	2	-1	-1	1	1	-2	2	1	1	1	1	-1	-1	-1	-1	-1	2	-1	-1	2	-1	1	1	-2	-2	1	1	0	0	0	0	0	0	0	0
χ₁₂	2	2	-1	-2	-1	1	1	2	2	-2	-2	-2	2	2	-1	-1	1	1	-2	2	1	1	1	1	-1	-1	-1	-1	-1	-1	2	-1	-1	2	1	1	1	1	-2	-2	0	0	0	0	0	0	0	0
χ₁₃	3	3	3	3	3	3	3	3	3	-1	-1	3	-1	-1	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	-1	-1	-1	-1
χ₁₄	3	3	3	3	3	3	3	3	3	-1	-1	3	-1	-1	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	1	1	1	1
χ₁₅	3	3	3	3	3	3	3	-1	-1	3	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	1	1	-1	-1	1	-1	1	-1
χ₁₆	3	3	3	3	3	3	3	-1	-1	3	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1	-1	1	-1	1
χ₁₇	3	3	3	3	3	3	3	-1	-1	-1	3	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	3	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	1	1	-1	-1	-1	1	-1	1
χ₁₈	3	3	3	3	3	3	3	-1	-1	-1	3	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	3	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1	1	-1	1	-1
χ₁₉	3	3	3	-3	3	-3	-3	3	3	1	1	-3	-1	-1	3	3	-3	-3	1	-1	1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	1	-1	-1	-1	1	1
χ₂₀	3	3	3	-3	3	-3	-3	3	3	1	1	-3	-1	-1	3	3	-3	-3	1	-1	1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	-1	1	1	1	-1	-1
χ₂₁	3	3	3	-3	3	-3	-3	-1	-1	1	-3	1	-1	3	-1	-1	1	1	1	-1	1	-3	1	1	-1	3	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	-1	1	-1	1	1	-1
χ₂₂	3	3	3	-3	3	-3	-3	-1	-1	1	-3	1	-1	3	-1	-1	1	1	1	-1	1	-3	1	1	-1	3	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	1	-1	1	-1	-1	1
χ₂₃	3	3	3	-3	3	-3	-3	-1	-1	-3	1	1	3	-1	-1	-1	1	1	1	-1	-3	1	1	1	3	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	-1	1	1	-1	-1	1
χ₂₄	3	3	3	-3	3	-3	-3	-1	-1	-3	1	1	3	-1	-1	-1	1	1	1	-1	-3	1	1	1	3	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	1	-1	-1	1	1	-1
χ₂₅	4	-4	4	0	-4	0	0	-4	4	0	0	0	0	0	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	-1	-1	-1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0
χ₂₆	4	-4	4	0	-4	0	0	-4	4	0	0	0	0	0	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	-1	-1	-1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0
χ₂₇	4	-4	4	0	-4	0	0	-4	4	0	0	0	0	0	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	-2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	-4	-2	0	2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	-4	4	0	0	0	0	0	-2	2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	1	1	-2	-1	-1	2	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	-4	-2	0	2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	-4	4	0	0	0	0	0	-2	2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	1	-2	1	-1	2	-1	$- \sqrt{3}$	$\sqrt{3}$	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0
χ₃₀	4	-4	-2	0	2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	-4	4	0	0	0	0	0	-2	2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	-2	1	1	2	-1	-1	0	0	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0
χ₃₁	4	-4	-2	0	2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	-4	4	0	0	0	0	0	-2	2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	1	1	-2	-1	-1	2	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	-4	-2	0	2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	-4	4	0	0	0	0	0	-2	2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	1	-2	1	-1	2	-1	$\sqrt{3}$	$- \sqrt{3}$	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0
χ₃₃	4	-4	-2	0	2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	-4	4	0	0	0	0	0	-2	2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	-2	1	1	2	-1	-1	0	0	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0
χ₃₄	6	6	6	6	6	6	6	-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	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	6	6	6	-6	6	-6	-6	-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	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	6	6	-3	6	-3	-3	-3	6	6	-2	-2	6	-2	-2	-3	-3	-3	-3	-2	-2	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	6	6	-3	6	-3	-3	-3	-2	-2	6	-2	-2	6	-2	1	1	1	1	-2	-2	-3	1	1	1	-3	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	6	6	-3	6	-3	-3	-3	-2	-2	-2	6	-2	-2	6	1	1	1	1	-2	-2	1	-3	1	1	1	-3	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	6	6	-3	6	-3	-3	-3	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	2	2	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	6	6	-3	6	-3	-3	-3	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	2	2	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	6	6	-3	-6	-3	3	3	6	6	2	2	-6	-2	-2	-3	-3	3	3	2	-2	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	6	6	-3	-6	-3	3	3	-2	-2	2	2	2	-2	-2	1	1	-1	-1	-2	2	-1	-1	$1 - 2 i \sqrt{3}$	$1 + 2 i \sqrt{3}$	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	6	6	-3	-6	-3	3	3	-2	-2	2	2	2	-2	-2	1	1	-1	-1	-2	2	-1	-1	$1 + 2 i \sqrt{3}$	$1 - 2 i \sqrt{3}$	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	6	6	-3	-6	-3	3	3	-2	-2	2	-6	2	-2	6	1	1	-1	-1	2	-2	-1	3	-1	-1	1	-3	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	6	6	-3	-6	-3	3	3	-2	-2	-6	2	2	6	-2	1	1	-1	-1	2	-2	3	-1	-1	-1	-3	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	12	-12	12	0	-12	0	0	4	-4	0	0	0	0	0	-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	0	0	0	0
χ₄₇	12	-12	-6	0	6	$6 \sqrt{3}$	$- 6 \sqrt{3}$	4	-4	0	0	0	0	0	2	-2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	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
χ₄₈	12	-12	-6	0	6	$- 6 \sqrt{3}$	$6 \sqrt{3}$	4	-4	0	0	0	0	0	2	-2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	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 #11923775