Group #7536 — 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
size	1	1	2	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	16	16	32	32	32	32	32
order	1	2	2	4	4	4	8	8	8	8	8	8	8	8	8	8	8	8	2	4	4	4	4	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
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
χ₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	$i$	$- i$	$i$	$- i$
χ₄	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	$- i$	$i$	$- i$	$i$
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
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
χ₇	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	$i$	$- i$	$- i$	$i$
χ₈	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	$- i$	$i$	$i$	$- i$
χ₉	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
χ₁₀	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
χ₁₁	4	4	4	4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₂	4	4	4	-4	0	0	0	0	0	0	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0
χ₁₃	4	4	4	-4	0	0	0	0	0	0	-2	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0
χ₁₄	4	4	-4	0	0	0	2	2	-2	-2	0	0	0	0	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0
χ₁₅	4	4	-4	0	0	0	2	2	-2	-2	0	0	0	0	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0
χ₁₆	4	4	-4	0	0	0	-2	-2	2	2	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0
χ₁₇	4	4	-4	0	0	0	-2	-2	2	2	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0
χ₁₈	4	-4	0	0	2	-2	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	ζ+2i−ζ³	−ζ−2i+ζ³	ζ−2i−ζ³	−ζ+2i+ζ³	0	0	0	0	0	0	0
χ₁₉	4	-4	0	0	2	-2	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	−ζ−2i+ζ³	ζ+2i−ζ³	−ζ+2i+ζ³	ζ−2i−ζ³	0	0	0	0	0	0	0
χ₂₀	4	-4	0	0	2	-2	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	ζ−2i−ζ³	−ζ+2i+ζ³	ζ+2i−ζ³	−ζ−2i+ζ³	0	0	0	0	0	0	0
χ₂₁	4	-4	0	0	2	-2	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	−ζ+2i+ζ³	ζ−2i−ζ³	−ζ−2i+ζ³	ζ+2i−ζ³	0	0	0	0	0	0	0
χ₂₂	4	-4	0	0	-2	2	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	ζ+2i−ζ³	−ζ−2i+ζ³	ζ−2i−ζ³	−ζ+2i+ζ³	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0
χ₂₃	4	-4	0	0	-2	2	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	−ζ−2i+ζ³	ζ+2i−ζ³	−ζ+2i+ζ³	ζ−2i−ζ³	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0
χ₂₄	4	-4	0	0	-2	2	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	ζ−2i−ζ³	−ζ+2i+ζ³	ζ+2i−ζ³	−ζ−2i+ζ³	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0
χ₂₅	4	-4	0	0	-2	2	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	−ζ+2i+ζ³	ζ−2i−ζ³	−ζ−2i+ζ³	ζ+2i−ζ³	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0

Character table — Group #7536