Group #505 — character table

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁	C₂₂
size	1	1	2	2	2	2	2	2	2	8	8	1	1	2	2	2	2	2	2	2	8	8
order	1	2	4	8	8	16	16	16	16	2	2	2	2	4	8	8	16	16	16	16	2	2
χ₁	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
χ₃	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
χ₅	2	2	2	-2	-2	0	0	0	0	0	0	2	2	2	-2	-2	0	0	0	0	0	0
χ₆	2	2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	2	2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0
χ₇	2	2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	2	2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0
χ₈	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ−ζ⁷	−ζ+ζ⁷	ζ³−ζ⁵	−ζ³+ζ⁵	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ−ζ⁷	−ζ+ζ⁷	ζ³−ζ⁵	−ζ³+ζ⁵	0	0
χ₉	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ+ζ⁷	ζ−ζ⁷	−ζ³+ζ⁵	ζ³−ζ⁵	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ+ζ⁷	ζ−ζ⁷	−ζ³+ζ⁵	ζ³−ζ⁵	0	0
χ₁₀	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ³−ζ⁵	−ζ³+ζ⁵	−ζ+ζ⁷	ζ−ζ⁷	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ³−ζ⁵	−ζ³+ζ⁵	−ζ+ζ⁷	ζ−ζ⁷	0	0
χ₁₁	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ³+ζ⁵	ζ³−ζ⁵	ζ−ζ⁷	−ζ+ζ⁷	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ³+ζ⁵	ζ³−ζ⁵	ζ−ζ⁷	−ζ+ζ⁷	0	0
χ₁₂	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₃	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1
χ₁₄	1	1	1	1	1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	1
χ₁₅	1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	1	1	1	1	1	-1
χ₁₆	2	2	2	-2	-2	0	0	0	0	0	0	-2	-2	-2	2	2	0	0	0	0	0	0
χ₁₇	2	2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	-2	-2	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0
χ₁₈	2	2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	-2	-2	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0
χ₁₉	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ−ζ⁷	−ζ+ζ⁷	ζ³−ζ⁵	−ζ³+ζ⁵	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ+ζ⁷	ζ−ζ⁷	−ζ³+ζ⁵	ζ³−ζ⁵	0	0
χ₂₀	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ+ζ⁷	ζ−ζ⁷	−ζ³+ζ⁵	ζ³−ζ⁵	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ−ζ⁷	−ζ+ζ⁷	ζ³−ζ⁵	−ζ³+ζ⁵	0	0
χ₂₁	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ³−ζ⁵	−ζ³+ζ⁵	−ζ+ζ⁷	ζ−ζ⁷	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ³+ζ⁵	ζ³−ζ⁵	ζ−ζ⁷	−ζ+ζ⁷	0	0
χ₂₂	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ³+ζ⁵	ζ³−ζ⁵	ζ−ζ⁷	−ζ+ζ⁷	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ³−ζ⁵	−ζ³+ζ⁵	−ζ+ζ⁷	ζ−ζ⁷	0	0

Character table — Group #505