Group #10593160 — 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	9	9	16	18	18	18	18	18	18	18	18	18	18	18	18	18	24	24	48	48	72	72
order	1	2	4	3	6	2	2	12	4	8	8	8	8	16	16	16	16	16	16	16	16	2	2	6	6	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	1	1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	-1	1	-1	$i$	$- i$
χ₆	1	1	-1	1	1	-1	-1	-1	1	1	1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	1	-1	1	$- i$	$i$
χ₇	1	1	-1	1	1	-1	-1	-1	1	1	1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	-1	1	-1	$- i$	$i$
χ₈	1	1	-1	1	1	-1	-1	-1	1	1	1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	1	-1	1	$i$	$- i$
χ₉	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
χ₁₀	2	2	2	2	2	-2	-2	2	-2	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0
χ₁₁	2	2	2	2	2	-2	-2	2	-2	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0
χ₁₂	2	2	-2	2	2	2	2	-2	-2	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0
χ₁₃	2	2	-2	2	2	2	2	-2	-2	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0
χ₁₄	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
χ₁₅	2	-2	0	2	-2	2	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	ζ+ζ⁷	−ζ−ζ⁷	ζ³+ζ⁵	−ζ³−ζ⁵	ζ³+ζ⁵	−ζ³−ζ⁵	ζ+ζ⁷	−ζ−ζ⁷	0	0	0	0	0	0
χ₁₆	2	-2	0	2	-2	2	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	−ζ−ζ⁷	ζ+ζ⁷	−ζ³−ζ⁵	ζ³+ζ⁵	−ζ³−ζ⁵	ζ³+ζ⁵	−ζ−ζ⁷	ζ+ζ⁷	0	0	0	0	0	0
χ₁₇	2	-2	0	2	-2	2	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	ζ³+ζ⁵	−ζ³−ζ⁵	−ζ−ζ⁷	ζ+ζ⁷	−ζ−ζ⁷	ζ+ζ⁷	ζ³+ζ⁵	−ζ³−ζ⁵	0	0	0	0	0	0
χ₁₈	2	-2	0	2	-2	2	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	−ζ³−ζ⁵	ζ³+ζ⁵	ζ+ζ⁷	−ζ−ζ⁷	ζ+ζ⁷	−ζ−ζ⁷	−ζ³−ζ⁵	ζ³+ζ⁵	0	0	0	0	0	0
χ₁₉	2	-2	0	2	-2	-2	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	ζ³−ζ⁵	−ζ³+ζ⁵	ζ−ζ⁷	−ζ+ζ⁷	−ζ+ζ⁷	ζ−ζ⁷	−ζ³+ζ⁵	ζ³−ζ⁵	0	0	0	0	0	0
χ₂₀	2	-2	0	2	-2	-2	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	−ζ³+ζ⁵	ζ³−ζ⁵	−ζ+ζ⁷	ζ−ζ⁷	ζ−ζ⁷	−ζ+ζ⁷	ζ³−ζ⁵	−ζ³+ζ⁵	0	0	0	0	0	0
χ₂₁	2	-2	0	2	-2	-2	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	ζ−ζ⁷	−ζ+ζ⁷	−ζ³+ζ⁵	ζ³−ζ⁵	ζ³−ζ⁵	−ζ³+ζ⁵	−ζ+ζ⁷	ζ−ζ⁷	0	0	0	0	0	0
χ₂₂	2	-2	0	2	-2	-2	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	−ζ+ζ⁷	ζ−ζ⁷	ζ³−ζ⁵	−ζ³+ζ⁵	−ζ³+ζ⁵	ζ³−ζ⁵	ζ−ζ⁷	−ζ+ζ⁷	0	0	0	0	0	0
χ₂₃	8	8	8	-1	-1	0	0	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-1	-1	0	0
χ₂₄	8	8	8	-1	-1	0	0	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	1	1	0	0
χ₂₅	8	8	-8	-1	-1	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	-1	1	0	0
χ₂₆	8	8	-8	-1	-1	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	1	-1	0	0
χ₂₇	16	-16	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

Character table — Group #10593160