Group #11715619 — 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
size	1	1	1	1	1	1	1	1	6	6	6	6	6	6	6	6	12	12	12	12	12	12	12	12	12	12	24	24	24	24	24	24	24	24	24	24	32	32	32	32	32	32	32	32	48	48
order	1	2	2	2	4	4	4	4	2	2	4	4	4	4	4	4	4	4	8	8	8	8	8	8	8	8	4	4	8	8	8	8	8	8	8	8	3	6	6	6	12	12	12	12	4	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
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
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
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
χ₅	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	2	2	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	-1	-1	0	0
χ₆	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	2	-2	0	0	0	0	0	0	0	0	-1	-1	-1	-1	1	1	1	1	0	0
χ₇	2	2	-2	-2	2	2	-2	-2	2	-2	2	0	0	0	0	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	-1	1	1	-1	1	1	-1	-1	0	0
χ₈	2	2	-2	-2	2	2	-2	-2	2	-2	2	0	0	0	0	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	-1	1	1	-1	1	1	-1	-1	0	0
χ₉	2	2	-2	-2	-2	-2	2	2	-2	2	2	0	0	0	0	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	-1	1	1	-1	-1	-1	1	1	0	0
χ₁₀	2	2	-2	-2	-2	-2	2	2	-2	2	2	0	0	0	0	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	-1	1	1	-1	-1	-1	1	1	0	0
χ₁₁	2	-2	2	-2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	$2 i$	$- 2 i$	2	-2	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	-1	1	-1	1	$i$	$- i$	$i$	$- i$	0	0
χ₁₂	2	-2	2	-2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	$2 i$	$- 2 i$	2	-2	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	-1	1	-1	1	$i$	$- i$	$i$	$- i$	0	0
χ₁₃	2	-2	2	-2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	$- 2 i$	$2 i$	2	-2	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	-1	1	-1	1	$- i$	$i$	$- i$	$i$	0	0
χ₁₄	2	-2	2	-2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	$- 2 i$	$2 i$	2	-2	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	-1	1	-1	1	$- i$	$i$	$- i$	$i$	0	0
χ₁₅	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	3	-1	-1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1
χ₁₆	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	1	1
χ₁₇	3	3	3	3	3	3	3	3	-1	-1	-1	3	3	3	3	-1	-1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	-1	-1
χ₁₈	3	3	3	3	3	3	3	3	-1	-1	-1	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1
χ₁₉	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	3	3	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1
χ₂₀	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	-1	-1
χ₂₁	3	3	3	3	-3	-3	-3	-3	1	1	-1	1	1	-1	-1	-1	-3	3	1	1	1	1	-1	-1	-1	-1	-1	1	-1	-1	1	1	-1	-1	1	1	0	0	0	0	0	0	0	0	1	-1
χ₂₂	3	3	3	3	-3	-3	-3	-3	1	1	-1	1	1	-1	-1	-1	-3	3	-1	-1	-1	-1	1	1	1	1	-1	1	1	1	-1	-1	1	1	-1	-1	0	0	0	0	0	0	0	0	-1	1
χ₂₃	3	3	3	3	-3	-3	-3	-3	1	1	-1	-3	-3	3	3	-1	1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	-1	1	1	1	1	-1	-1	0	0	0	0	0	0	0	0	-1	1
χ₂₄	3	3	3	3	-3	-3	-3	-3	1	1	-1	-3	-3	3	3	-1	1	-1	-1	-1	-1	-1	1	1	1	1	-1	1	1	1	-1	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	1	-1
χ₂₅	3	3	3	3	-3	-3	-3	-3	-3	-3	3	1	1	-1	-1	3	1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	-1	1
χ₂₆	3	3	3	3	-3	-3	-3	-3	-3	-3	3	1	1	-1	-1	3	1	-1	-1	-1	-1	-1	1	1	1	1	-1	1	-1	-1	1	1	1	1	-1	-1	0	0	0	0	0	0	0	0	1	-1
χ₂₇	4	4	-4	-4	4	4	-4	-4	4	-4	4	0	0	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	-1	1	-1	-1	1	1	0	0
χ₂₈	4	4	-4	-4	-4	-4	4	4	-4	4	4	0	0	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	-1	1	1	1	-1	-1	0	0
χ₂₉	4	-4	4	-4	$4 i$	$- 4 i$	$4 i$	$- 4 i$	0	0	0	$4 i$	$- 4 i$	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	1	-1	$- i$	$i$	$- i$	$i$	0	0
χ₃₀	4	-4	4	-4	$- 4 i$	$4 i$	$- 4 i$	$4 i$	0	0	0	$- 4 i$	$4 i$	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	1	-1	$i$	$- i$	$i$	$- i$	0	0
χ₃₁	4	-4	-4	4	$4 i$	$- 4 i$	$- 4 i$	$4 i$	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	$- 2 i$	$2 i$	2	-2	-2	2	0	0	0	0	0	0	0	0	0	0	1	1	-1	-1	$i$	$- i$	$- i$	$i$	0	0
χ₃₂	4	-4	-4	4	$4 i$	$- 4 i$	$- 4 i$	$4 i$	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	$2 i$	$- 2 i$	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	1	1	-1	-1	$i$	$- i$	$- i$	$i$	0	0
χ₃₃	4	-4	-4	4	$- 4 i$	$4 i$	$4 i$	$- 4 i$	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	$- 2 i$	$2 i$	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	1	1	-1	-1	$- i$	$i$	$i$	$- i$	0	0
χ₃₄	4	-4	-4	4	$- 4 i$	$4 i$	$4 i$	$- 4 i$	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	$2 i$	$- 2 i$	2	-2	-2	2	0	0	0	0	0	0	0	0	0	0	1	1	-1	-1	$- i$	$i$	$i$	$- i$	0	0
χ₃₅	6	6	6	6	6	6	6	6	-2	-2	-2	-2	-2	-2	-2	-2	-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
χ₃₆	6	6	6	6	-6	-6	-6	-6	2	2	-2	2	2	-2	-2	-2	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
χ₃₇	6	6	-6	-6	6	6	-6	-6	-2	2	-2	0	0	0	0	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	6	6	-6	-6	6	6	-6	-6	-2	2	-2	0	0	0	0	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	6	6	-6	-6	-6	-6	6	6	2	-2	-2	0	0	0	0	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	6	6	-6	-6	-6	-6	6	6	2	-2	-2	0	0	0	0	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	6	-6	6	-6	$6 i$	$- 6 i$	$6 i$	$- 6 i$	0	0	0	$- 2 i$	$2 i$	-2	2	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₄₂	6	-6	6	-6	$6 i$	$- 6 i$	$6 i$	$- 6 i$	0	0	0	$- 2 i$	$2 i$	-2	2	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₄₃	6	-6	6	-6	$- 6 i$	$6 i$	$- 6 i$	$6 i$	0	0	0	$2 i$	$- 2 i$	-2	2	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₄₄	6	-6	6	-6	$- 6 i$	$6 i$	$- 6 i$	$6 i$	0	0	0	$2 i$	$- 2 i$	-2	2	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₄₅	8	-8	-8	8	$8 i$	$- 8 i$	$- 8 i$	$8 i$	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	-1	-1	1	1	$- i$	$i$	$i$	$- i$	0	0
χ₄₆	8	-8	-8	8	$- 8 i$	$8 i$	$8 i$	$- 8 i$	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	-1	-1	1	1	$i$	$- i$	$- i$	$i$	0	0

Character table — Group #11715619