Group #371 — character table

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉
size	1	1	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	16	16
order	1	2	4	8	8	16	16	16	16	32	32	32	32	32	32	32	32	2	2
χ₁	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
χ₃	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
χ₅	2	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0
χ₆	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
χ₇	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
χ₈	2	2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	ζ²−ζ¹⁴	ζ²−ζ¹⁴	−ζ²+ζ¹⁴	−ζ²+ζ¹⁴	ζ⁶−ζ¹⁰	ζ⁶−ζ¹⁰	−ζ⁶+ζ¹⁰	−ζ⁶+ζ¹⁰	0	0
χ₉	2	2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	−ζ²+ζ¹⁴	−ζ²+ζ¹⁴	ζ²−ζ¹⁴	ζ²−ζ¹⁴	−ζ⁶+ζ¹⁰	−ζ⁶+ζ¹⁰	ζ⁶−ζ¹⁰	ζ⁶−ζ¹⁰	0	0
χ₁₀	2	2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	ζ⁶−ζ¹⁰	ζ⁶−ζ¹⁰	−ζ⁶+ζ¹⁰	−ζ⁶+ζ¹⁰	−ζ²+ζ¹⁴	−ζ²+ζ¹⁴	ζ²−ζ¹⁴	ζ²−ζ¹⁴	0	0
χ₁₁	2	2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	−ζ⁶+ζ¹⁰	−ζ⁶+ζ¹⁰	ζ⁶−ζ¹⁰	ζ⁶−ζ¹⁰	ζ²−ζ¹⁴	ζ²−ζ¹⁴	−ζ²+ζ¹⁴	−ζ²+ζ¹⁴	0	0
χ₁₂	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²−ζ¹⁴	−ζ²+ζ¹⁴	ζ⁶−ζ¹⁰	−ζ⁶+ζ¹⁰	ζ−ζ¹⁵	−ζ+ζ¹⁵	ζ⁷−ζ⁹	−ζ⁷+ζ⁹	ζ³−ζ¹³	−ζ³+ζ¹³	ζ⁵−ζ¹¹	−ζ⁵+ζ¹¹	0	0
χ₁₃	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²−ζ¹⁴	−ζ²+ζ¹⁴	ζ⁶−ζ¹⁰	−ζ⁶+ζ¹⁰	−ζ+ζ¹⁵	ζ−ζ¹⁵	−ζ⁷+ζ⁹	ζ⁷−ζ⁹	−ζ³+ζ¹³	ζ³−ζ¹³	−ζ⁵+ζ¹¹	ζ⁵−ζ¹¹	0	0
χ₁₄	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²+ζ¹⁴	ζ²−ζ¹⁴	−ζ⁶+ζ¹⁰	ζ⁶−ζ¹⁰	ζ⁷−ζ⁹	−ζ⁷+ζ⁹	−ζ+ζ¹⁵	ζ−ζ¹⁵	−ζ⁵+ζ¹¹	ζ⁵−ζ¹¹	ζ³−ζ¹³	−ζ³+ζ¹³	0	0
χ₁₅	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²+ζ¹⁴	ζ²−ζ¹⁴	−ζ⁶+ζ¹⁰	ζ⁶−ζ¹⁰	−ζ⁷+ζ⁹	ζ⁷−ζ⁹	ζ−ζ¹⁵	−ζ+ζ¹⁵	ζ⁵−ζ¹¹	−ζ⁵+ζ¹¹	−ζ³+ζ¹³	ζ³−ζ¹³	0	0
χ₁₆	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ⁶−ζ¹⁰	−ζ⁶+ζ¹⁰	−ζ²+ζ¹⁴	ζ²−ζ¹⁴	ζ³−ζ¹³	−ζ³+ζ¹³	−ζ⁵+ζ¹¹	ζ⁵−ζ¹¹	−ζ⁷+ζ⁹	ζ⁷−ζ⁹	−ζ+ζ¹⁵	ζ−ζ¹⁵	0	0
χ₁₇	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ⁶−ζ¹⁰	−ζ⁶+ζ¹⁰	−ζ²+ζ¹⁴	ζ²−ζ¹⁴	−ζ³+ζ¹³	ζ³−ζ¹³	ζ⁵−ζ¹¹	−ζ⁵+ζ¹¹	ζ⁷−ζ⁹	−ζ⁷+ζ⁹	ζ−ζ¹⁵	−ζ+ζ¹⁵	0	0
χ₁₈	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ⁶+ζ¹⁰	ζ⁶−ζ¹⁰	ζ²−ζ¹⁴	−ζ²+ζ¹⁴	ζ⁵−ζ¹¹	−ζ⁵+ζ¹¹	ζ³−ζ¹³	−ζ³+ζ¹³	−ζ+ζ¹⁵	ζ−ζ¹⁵	ζ⁷−ζ⁹	−ζ⁷+ζ⁹	0	0
χ₁₉	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ⁶+ζ¹⁰	ζ⁶−ζ¹⁰	ζ²−ζ¹⁴	−ζ²+ζ¹⁴	−ζ⁵+ζ¹¹	ζ⁵−ζ¹¹	−ζ³+ζ¹³	ζ³−ζ¹³	ζ−ζ¹⁵	−ζ+ζ¹⁵	−ζ⁷+ζ⁹	ζ⁷−ζ⁹	0	0

Character table — Group #371