Group #10593157 — 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
size	1	1	2	8	8	8	8	9	9	12	12	12	12	18	18	18	24	24	24	24	36	36	36	36	36	72	72
order	1	2	4	3	6	12	12	2	2	8	8	8	8	4	4	4	24	24	24	24	4	8	8	8	8	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
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
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
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
χ₅	1	1	-1	1	1	-1	-1	1	1	$i$	$i$	$- i$	$- i$	-1	-1	-1	$i$	$i$	$- i$	$- i$	1	$i$	$i$	$- i$	$- i$	1	-1
χ₆	1	1	-1	1	1	-1	-1	1	1	$i$	$i$	$- i$	$- i$	-1	-1	-1	$i$	$i$	$- i$	$- i$	1	$- i$	$- i$	$i$	$i$	-1	1
χ₇	1	1	-1	1	1	-1	-1	1	1	$- i$	$- i$	$i$	$i$	-1	-1	-1	$- i$	$- i$	$i$	$i$	1	$i$	$i$	$- i$	$- i$	-1	1
χ₈	1	1	-1	1	1	-1	-1	1	1	$- i$	$- i$	$i$	$i$	-1	-1	-1	$- i$	$- i$	$i$	$i$	1	$- i$	$- i$	$i$	$i$	1	-1
χ₉	2	2	2	2	2	2	2	2	2	0	0	0	0	2	-2	-2	0	0	0	0	-2	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	2	2	-2	-2	0	0	0	0	-2	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0
χ₁₁	2	2	2	2	2	2	2	-2	-2	0	0	0	0	-2	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0
χ₁₂	2	2	-2	2	2	-2	-2	2	2	0	0	0	0	-2	2	2	0	0	0	0	-2	0	0	0	0	0	0
χ₁₃	2	2	-2	2	2	-2	-2	-2	-2	0	0	0	0	2	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₁₄	2	2	-2	2	2	-2	-2	-2	-2	0	0	0	0	2	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₁₅	2	-2	0	2	-2	0	0	-2	2	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	-2	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0
χ₁₆	2	-2	0	2	-2	0	0	-2	2	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	-2	2	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0
χ₁₇	2	-2	0	2	-2	0	0	-2	2	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	-2	2	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0
χ₁₈	2	-2	0	2	-2	0	0	-2	2	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	-2	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0
χ₁₉	4	-4	0	4	-4	0	0	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	8	8	8	-1	-1	-1	-1	0	0	2	2	2	2	0	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0
χ₂₁	8	8	8	-1	-1	-1	-1	0	0	-2	-2	-2	-2	0	0	0	1	1	1	1	0	0	0	0	0	0	0
χ₂₂	8	8	-8	-1	-1	1	1	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0	0
χ₂₃	8	8	-8	-1	-1	1	1	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0	0
χ₂₄	8	-8	0	-1	1	$3 i$	$- 3 i$	0	0	2ζ	−2ζ	2ζ³	−2ζ³	0	0	0	−ζ	ζ	−ζ³	ζ³	0	0	0	0	0	0	0
χ₂₅	8	-8	0	-1	1	$3 i$	$- 3 i$	0	0	−2ζ	2ζ	−2ζ³	2ζ³	0	0	0	ζ	−ζ	ζ³	−ζ³	0	0	0	0	0	0	0
χ₂₆	8	-8	0	-1	1	$- 3 i$	$3 i$	0	0	2ζ³	−2ζ³	2ζ	−2ζ	0	0	0	−ζ³	ζ³	−ζ	ζ	0	0	0	0	0	0	0
χ₂₇	8	-8	0	-1	1	$- 3 i$	$3 i$	0	0	−2ζ³	2ζ³	−2ζ	2ζ	0	0	0	ζ³	−ζ³	ζ	−ζ	0	0	0	0	0	0	0

Character table — Group #10593157