Group #1431 — 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	C₂₈	C₂₉	C₃₀	C₃₁	C₃₂	C₃₃	C₃₄	C₃₅
size	1	1	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	32	32
order	1	2	4	8	8	16	16	16	16	32	32	32	32	32	32	32	32	64	64	64	64	64	64	64	64	64	64	64	64	64	64	64	64	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	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	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	-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	-1	-1	-1	-1	-1	-1	-1	1
χ₅	2	2	2	2	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	0	0	0	0
χ₆	2	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0
χ₇	2	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0
χ₈	2	2	2	-2	-2	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	ζ⁴−ζ²⁸	ζ⁴−ζ²⁸	ζ⁴−ζ²⁸	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	−ζ⁴+ζ²⁸	−ζ⁴+ζ²⁸	−ζ⁴+ζ²⁸	ζ¹²−ζ²⁰	ζ¹²−ζ²⁰	ζ¹²−ζ²⁰	ζ¹²−ζ²⁰	−ζ¹²+ζ²⁰	−ζ¹²+ζ²⁰	−ζ¹²+ζ²⁰	−ζ¹²+ζ²⁰	0	0
χ₉	2	2	2	-2	-2	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	−ζ⁴+ζ²⁸	−ζ⁴+ζ²⁸	−ζ⁴+ζ²⁸	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	ζ⁴−ζ²⁸	ζ⁴−ζ²⁸	ζ⁴−ζ²⁸	−ζ¹²+ζ²⁰	−ζ¹²+ζ²⁰	−ζ¹²+ζ²⁰	−ζ¹²+ζ²⁰	ζ¹²−ζ²⁰	ζ¹²−ζ²⁰	ζ¹²−ζ²⁰	ζ¹²−ζ²⁰	0	0
χ₁₀	2	2	2	-2	-2	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	ζ¹²−ζ²⁰	ζ¹²−ζ²⁰	ζ¹²−ζ²⁰	ζ¹²−ζ²⁰	−ζ¹²+ζ²⁰	−ζ¹²+ζ²⁰	−ζ¹²+ζ²⁰	−ζ¹²+ζ²⁰	−ζ⁴+ζ²⁸	−ζ⁴+ζ²⁸	−ζ⁴+ζ²⁸	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	ζ⁴−ζ²⁸	ζ⁴−ζ²⁸	ζ⁴−ζ²⁸	0	0
χ₁₁	2	2	2	-2	-2	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	−ζ¹²+ζ²⁰	−ζ¹²+ζ²⁰	−ζ¹²+ζ²⁰	−ζ¹²+ζ²⁰	ζ¹²−ζ²⁰	ζ¹²−ζ²⁰	ζ¹²−ζ²⁰	ζ¹²−ζ²⁰	ζ⁴−ζ²⁸	ζ⁴−ζ²⁸	ζ⁴−ζ²⁸	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	−ζ⁴+ζ²⁸	−ζ⁴+ζ²⁸	−ζ⁴+ζ²⁸	0	0
χ₁₂	2	2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	ζ⁴−ζ²⁸	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	−ζ⁴+ζ²⁸	ζ¹²−ζ²⁰	ζ¹²−ζ²⁰	−ζ¹²+ζ²⁰	−ζ¹²+ζ²⁰	ζ²−ζ³⁰	ζ²−ζ³⁰	−ζ²+ζ³⁰	−ζ²+ζ³⁰	ζ¹⁴−ζ¹⁸	ζ¹⁴−ζ¹⁸	−ζ¹⁴+ζ¹⁸	−ζ¹⁴+ζ¹⁸	ζ⁶−ζ²⁶	ζ⁶−ζ²⁶	−ζ⁶+ζ²⁶	−ζ⁶+ζ²⁶	ζ¹⁰−ζ²²	ζ¹⁰−ζ²²	−ζ¹⁰+ζ²²	−ζ¹⁰+ζ²²	0	0
χ₁₃	2	2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	ζ⁴−ζ²⁸	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	−ζ⁴+ζ²⁸	ζ¹²−ζ²⁰	ζ¹²−ζ²⁰	−ζ¹²+ζ²⁰	−ζ¹²+ζ²⁰	−ζ²+ζ³⁰	−ζ²+ζ³⁰	ζ²−ζ³⁰	ζ²−ζ³⁰	−ζ¹⁴+ζ¹⁸	−ζ¹⁴+ζ¹⁸	ζ¹⁴−ζ¹⁸	ζ¹⁴−ζ¹⁸	−ζ⁶+ζ²⁶	−ζ⁶+ζ²⁶	ζ⁶−ζ²⁶	ζ⁶−ζ²⁶	−ζ¹⁰+ζ²²	−ζ¹⁰+ζ²²	ζ¹⁰−ζ²²	ζ¹⁰−ζ²²	0	0
χ₁₄	2	2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	−ζ⁴+ζ²⁸	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	ζ⁴−ζ²⁸	−ζ¹²+ζ²⁰	−ζ¹²+ζ²⁰	ζ¹²−ζ²⁰	ζ¹²−ζ²⁰	ζ¹⁴−ζ¹⁸	ζ¹⁴−ζ¹⁸	−ζ¹⁴+ζ¹⁸	−ζ¹⁴+ζ¹⁸	−ζ²+ζ³⁰	−ζ²+ζ³⁰	ζ²−ζ³⁰	ζ²−ζ³⁰	−ζ¹⁰+ζ²²	−ζ¹⁰+ζ²²	ζ¹⁰−ζ²²	ζ¹⁰−ζ²²	ζ⁶−ζ²⁶	ζ⁶−ζ²⁶	−ζ⁶+ζ²⁶	−ζ⁶+ζ²⁶	0	0
χ₁₅	2	2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	−ζ⁴+ζ²⁸	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	ζ⁴−ζ²⁸	−ζ¹²+ζ²⁰	−ζ¹²+ζ²⁰	ζ¹²−ζ²⁰	ζ¹²−ζ²⁰	−ζ¹⁴+ζ¹⁸	−ζ¹⁴+ζ¹⁸	ζ¹⁴−ζ¹⁸	ζ¹⁴−ζ¹⁸	ζ²−ζ³⁰	ζ²−ζ³⁰	−ζ²+ζ³⁰	−ζ²+ζ³⁰	ζ¹⁰−ζ²²	ζ¹⁰−ζ²²	−ζ¹⁰+ζ²²	−ζ¹⁰+ζ²²	−ζ⁶+ζ²⁶	−ζ⁶+ζ²⁶	ζ⁶−ζ²⁶	ζ⁶−ζ²⁶	0	0
χ₁₆	2	2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	ζ¹²−ζ²⁰	ζ¹²−ζ²⁰	−ζ¹²+ζ²⁰	−ζ¹²+ζ²⁰	−ζ⁴+ζ²⁸	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	ζ⁴−ζ²⁸	ζ⁶−ζ²⁶	ζ⁶−ζ²⁶	−ζ⁶+ζ²⁶	−ζ⁶+ζ²⁶	−ζ¹⁰+ζ²²	−ζ¹⁰+ζ²²	ζ¹⁰−ζ²²	ζ¹⁰−ζ²²	−ζ¹⁴+ζ¹⁸	−ζ¹⁴+ζ¹⁸	ζ¹⁴−ζ¹⁸	ζ¹⁴−ζ¹⁸	−ζ²+ζ³⁰	−ζ²+ζ³⁰	ζ²−ζ³⁰	ζ²−ζ³⁰	0	0
χ₁₇	2	2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	ζ¹²−ζ²⁰	ζ¹²−ζ²⁰	−ζ¹²+ζ²⁰	−ζ¹²+ζ²⁰	−ζ⁴+ζ²⁸	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	ζ⁴−ζ²⁸	−ζ⁶+ζ²⁶	−ζ⁶+ζ²⁶	ζ⁶−ζ²⁶	ζ⁶−ζ²⁶	ζ¹⁰−ζ²²	ζ¹⁰−ζ²²	−ζ¹⁰+ζ²²	−ζ¹⁰+ζ²²	ζ¹⁴−ζ¹⁸	ζ¹⁴−ζ¹⁸	−ζ¹⁴+ζ¹⁸	−ζ¹⁴+ζ¹⁸	ζ²−ζ³⁰	ζ²−ζ³⁰	−ζ²+ζ³⁰	−ζ²+ζ³⁰	0	0
χ₁₈	2	2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	−ζ¹²+ζ²⁰	−ζ¹²+ζ²⁰	ζ¹²−ζ²⁰	ζ¹²−ζ²⁰	ζ⁴−ζ²⁸	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	−ζ⁴+ζ²⁸	ζ¹⁰−ζ²²	ζ¹⁰−ζ²²	−ζ¹⁰+ζ²²	−ζ¹⁰+ζ²²	ζ⁶−ζ²⁶	ζ⁶−ζ²⁶	−ζ⁶+ζ²⁶	−ζ⁶+ζ²⁶	−ζ²+ζ³⁰	−ζ²+ζ³⁰	ζ²−ζ³⁰	ζ²−ζ³⁰	ζ¹⁴−ζ¹⁸	ζ¹⁴−ζ¹⁸	−ζ¹⁴+ζ¹⁸	−ζ¹⁴+ζ¹⁸	0	0
χ₁₉	2	2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	−ζ¹²+ζ²⁰	−ζ¹²+ζ²⁰	ζ¹²−ζ²⁰	ζ¹²−ζ²⁰	ζ⁴−ζ²⁸	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	−ζ⁴+ζ²⁸	−ζ¹⁰+ζ²²	−ζ¹⁰+ζ²²	ζ¹⁰−ζ²²	ζ¹⁰−ζ²²	−ζ⁶+ζ²⁶	−ζ⁶+ζ²⁶	ζ⁶−ζ²⁶	ζ⁶−ζ²⁶	ζ²−ζ³⁰	ζ²−ζ³⁰	−ζ²+ζ³⁰	−ζ²+ζ³⁰	−ζ¹⁴+ζ¹⁸	−ζ¹⁴+ζ¹⁸	ζ¹⁴−ζ¹⁸	ζ¹⁴−ζ¹⁸	0	0
χ₂₀	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	ζ¹²−ζ²⁰	−ζ¹²+ζ²⁰	ζ²−ζ³⁰	−ζ²+ζ³⁰	ζ¹⁴−ζ¹⁸	−ζ¹⁴+ζ¹⁸	ζ⁶−ζ²⁶	−ζ⁶+ζ²⁶	ζ¹⁰−ζ²²	−ζ¹⁰+ζ²²	ζ−ζ³¹	−ζ+ζ³¹	ζ¹⁵−ζ¹⁷	−ζ¹⁵+ζ¹⁷	ζ⁷−ζ²⁵	−ζ⁷+ζ²⁵	ζ⁹−ζ²³	−ζ⁹+ζ²³	ζ³−ζ²⁹	−ζ³+ζ²⁹	ζ¹³−ζ¹⁹	−ζ¹³+ζ¹⁹	ζ⁵−ζ²⁷	−ζ⁵+ζ²⁷	ζ¹¹−ζ²¹	−ζ¹¹+ζ²¹	0	0
χ₂₁	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	ζ¹²−ζ²⁰	−ζ¹²+ζ²⁰	ζ²−ζ³⁰	−ζ²+ζ³⁰	ζ¹⁴−ζ¹⁸	−ζ¹⁴+ζ¹⁸	ζ⁶−ζ²⁶	−ζ⁶+ζ²⁶	ζ¹⁰−ζ²²	−ζ¹⁰+ζ²²	−ζ+ζ³¹	ζ−ζ³¹	−ζ¹⁵+ζ¹⁷	ζ¹⁵−ζ¹⁷	−ζ⁷+ζ²⁵	ζ⁷−ζ²⁵	−ζ⁹+ζ²³	ζ⁹−ζ²³	−ζ³+ζ²⁹	ζ³−ζ²⁹	−ζ¹³+ζ¹⁹	ζ¹³−ζ¹⁹	−ζ⁵+ζ²⁷	ζ⁵−ζ²⁷	−ζ¹¹+ζ²¹	ζ¹¹−ζ²¹	0	0
χ₂₂	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	ζ¹²−ζ²⁰	−ζ¹²+ζ²⁰	−ζ²+ζ³⁰	ζ²−ζ³⁰	−ζ¹⁴+ζ¹⁸	ζ¹⁴−ζ¹⁸	−ζ⁶+ζ²⁶	ζ⁶−ζ²⁶	−ζ¹⁰+ζ²²	ζ¹⁰−ζ²²	ζ¹⁵−ζ¹⁷	−ζ¹⁵+ζ¹⁷	−ζ+ζ³¹	ζ−ζ³¹	−ζ⁹+ζ²³	ζ⁹−ζ²³	ζ⁷−ζ²⁵	−ζ⁷+ζ²⁵	−ζ¹³+ζ¹⁹	ζ¹³−ζ¹⁹	ζ³−ζ²⁹	−ζ³+ζ²⁹	ζ¹¹−ζ²¹	−ζ¹¹+ζ²¹	−ζ⁵+ζ²⁷	ζ⁵−ζ²⁷	0	0
χ₂₃	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	ζ¹²−ζ²⁰	−ζ¹²+ζ²⁰	−ζ²+ζ³⁰	ζ²−ζ³⁰	−ζ¹⁴+ζ¹⁸	ζ¹⁴−ζ¹⁸	−ζ⁶+ζ²⁶	ζ⁶−ζ²⁶	−ζ¹⁰+ζ²²	ζ¹⁰−ζ²²	−ζ¹⁵+ζ¹⁷	ζ¹⁵−ζ¹⁷	ζ−ζ³¹	−ζ+ζ³¹	ζ⁹−ζ²³	−ζ⁹+ζ²³	−ζ⁷+ζ²⁵	ζ⁷−ζ²⁵	ζ¹³−ζ¹⁹	−ζ¹³+ζ¹⁹	−ζ³+ζ²⁹	ζ³−ζ²⁹	−ζ¹¹+ζ²¹	ζ¹¹−ζ²¹	ζ⁵−ζ²⁷	−ζ⁵+ζ²⁷	0	0
χ₂₄	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	−ζ¹²+ζ²⁰	ζ¹²−ζ²⁰	ζ¹⁴−ζ¹⁸	−ζ¹⁴+ζ¹⁸	−ζ²+ζ³⁰	ζ²−ζ³⁰	−ζ¹⁰+ζ²²	ζ¹⁰−ζ²²	ζ⁶−ζ²⁶	−ζ⁶+ζ²⁶	ζ⁷−ζ²⁵	−ζ⁷+ζ²⁵	−ζ⁹+ζ²³	ζ⁹−ζ²³	ζ¹⁵−ζ¹⁷	−ζ¹⁵+ζ¹⁷	ζ−ζ³¹	−ζ+ζ³¹	−ζ¹¹+ζ²¹	ζ¹¹−ζ²¹	−ζ⁵+ζ²⁷	ζ⁵−ζ²⁷	−ζ³+ζ²⁹	ζ³−ζ²⁹	ζ¹³−ζ¹⁹	−ζ¹³+ζ¹⁹	0	0
χ₂₅	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	−ζ¹²+ζ²⁰	ζ¹²−ζ²⁰	ζ¹⁴−ζ¹⁸	−ζ¹⁴+ζ¹⁸	−ζ²+ζ³⁰	ζ²−ζ³⁰	−ζ¹⁰+ζ²²	ζ¹⁰−ζ²²	ζ⁶−ζ²⁶	−ζ⁶+ζ²⁶	−ζ⁷+ζ²⁵	ζ⁷−ζ²⁵	ζ⁹−ζ²³	−ζ⁹+ζ²³	−ζ¹⁵+ζ¹⁷	ζ¹⁵−ζ¹⁷	−ζ+ζ³¹	ζ−ζ³¹	ζ¹¹−ζ²¹	−ζ¹¹+ζ²¹	ζ⁵−ζ²⁷	−ζ⁵+ζ²⁷	ζ³−ζ²⁹	−ζ³+ζ²⁹	−ζ¹³+ζ¹⁹	ζ¹³−ζ¹⁹	0	0
χ₂₆	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	−ζ¹²+ζ²⁰	ζ¹²−ζ²⁰	−ζ¹⁴+ζ¹⁸	ζ¹⁴−ζ¹⁸	ζ²−ζ³⁰	−ζ²+ζ³⁰	ζ¹⁰−ζ²²	−ζ¹⁰+ζ²²	−ζ⁶+ζ²⁶	ζ⁶−ζ²⁶	ζ⁹−ζ²³	−ζ⁹+ζ²³	ζ⁷−ζ²⁵	−ζ⁷+ζ²⁵	ζ−ζ³¹	−ζ+ζ³¹	−ζ¹⁵+ζ¹⁷	ζ¹⁵−ζ¹⁷	−ζ⁵+ζ²⁷	ζ⁵−ζ²⁷	ζ¹¹−ζ²¹	−ζ¹¹+ζ²¹	−ζ¹³+ζ¹⁹	ζ¹³−ζ¹⁹	−ζ³+ζ²⁹	ζ³−ζ²⁹	0	0
χ₂₇	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	−ζ¹²+ζ²⁰	ζ¹²−ζ²⁰	−ζ¹⁴+ζ¹⁸	ζ¹⁴−ζ¹⁸	ζ²−ζ³⁰	−ζ²+ζ³⁰	ζ¹⁰−ζ²²	−ζ¹⁰+ζ²²	−ζ⁶+ζ²⁶	ζ⁶−ζ²⁶	−ζ⁹+ζ²³	ζ⁹−ζ²³	−ζ⁷+ζ²⁵	ζ⁷−ζ²⁵	−ζ+ζ³¹	ζ−ζ³¹	ζ¹⁵−ζ¹⁷	−ζ¹⁵+ζ¹⁷	ζ⁵−ζ²⁷	−ζ⁵+ζ²⁷	−ζ¹¹+ζ²¹	ζ¹¹−ζ²¹	ζ¹³−ζ¹⁹	−ζ¹³+ζ¹⁹	ζ³−ζ²⁹	−ζ³+ζ²⁹	0	0
χ₂₈	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹²−ζ²⁰	−ζ¹²+ζ²⁰	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	ζ⁶−ζ²⁶	−ζ⁶+ζ²⁶	−ζ¹⁰+ζ²²	ζ¹⁰−ζ²²	−ζ¹⁴+ζ¹⁸	ζ¹⁴−ζ¹⁸	−ζ²+ζ³⁰	ζ²−ζ³⁰	ζ³−ζ²⁹	−ζ³+ζ²⁹	−ζ¹³+ζ¹⁹	ζ¹³−ζ¹⁹	−ζ¹¹+ζ²¹	ζ¹¹−ζ²¹	−ζ⁵+ζ²⁷	ζ⁵−ζ²⁷	ζ⁹−ζ²³	−ζ⁹+ζ²³	−ζ⁷+ζ²⁵	ζ⁷−ζ²⁵	ζ¹⁵−ζ¹⁷	−ζ¹⁵+ζ¹⁷	−ζ+ζ³¹	ζ−ζ³¹	0	0
χ₂₉	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹²−ζ²⁰	−ζ¹²+ζ²⁰	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	ζ⁶−ζ²⁶	−ζ⁶+ζ²⁶	−ζ¹⁰+ζ²²	ζ¹⁰−ζ²²	−ζ¹⁴+ζ¹⁸	ζ¹⁴−ζ¹⁸	−ζ²+ζ³⁰	ζ²−ζ³⁰	−ζ³+ζ²⁹	ζ³−ζ²⁹	ζ¹³−ζ¹⁹	−ζ¹³+ζ¹⁹	ζ¹¹−ζ²¹	−ζ¹¹+ζ²¹	ζ⁵−ζ²⁷	−ζ⁵+ζ²⁷	−ζ⁹+ζ²³	ζ⁹−ζ²³	ζ⁷−ζ²⁵	−ζ⁷+ζ²⁵	−ζ¹⁵+ζ¹⁷	ζ¹⁵−ζ¹⁷	ζ−ζ³¹	−ζ+ζ³¹	0	0
χ₃₀	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹²−ζ²⁰	−ζ¹²+ζ²⁰	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	−ζ⁶+ζ²⁶	ζ⁶−ζ²⁶	ζ¹⁰−ζ²²	−ζ¹⁰+ζ²²	ζ¹⁴−ζ¹⁸	−ζ¹⁴+ζ¹⁸	ζ²−ζ³⁰	−ζ²+ζ³⁰	ζ¹³−ζ¹⁹	−ζ¹³+ζ¹⁹	ζ³−ζ²⁹	−ζ³+ζ²⁹	−ζ⁵+ζ²⁷	ζ⁵−ζ²⁷	ζ¹¹−ζ²¹	−ζ¹¹+ζ²¹	−ζ⁷+ζ²⁵	ζ⁷−ζ²⁵	−ζ⁹+ζ²³	ζ⁹−ζ²³	ζ−ζ³¹	−ζ+ζ³¹	ζ¹⁵−ζ¹⁷	−ζ¹⁵+ζ¹⁷	0	0
χ₃₁	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹²−ζ²⁰	−ζ¹²+ζ²⁰	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	−ζ⁶+ζ²⁶	ζ⁶−ζ²⁶	ζ¹⁰−ζ²²	−ζ¹⁰+ζ²²	ζ¹⁴−ζ¹⁸	−ζ¹⁴+ζ¹⁸	ζ²−ζ³⁰	−ζ²+ζ³⁰	−ζ¹³+ζ¹⁹	ζ¹³−ζ¹⁹	−ζ³+ζ²⁹	ζ³−ζ²⁹	ζ⁵−ζ²⁷	−ζ⁵+ζ²⁷	−ζ¹¹+ζ²¹	ζ¹¹−ζ²¹	ζ⁷−ζ²⁵	−ζ⁷+ζ²⁵	ζ⁹−ζ²³	−ζ⁹+ζ²³	−ζ+ζ³¹	ζ−ζ³¹	−ζ¹⁵+ζ¹⁷	ζ¹⁵−ζ¹⁷	0	0
χ₃₂	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹²+ζ²⁰	ζ¹²−ζ²⁰	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	ζ¹⁰−ζ²²	−ζ¹⁰+ζ²²	ζ⁶−ζ²⁶	−ζ⁶+ζ²⁶	−ζ²+ζ³⁰	ζ²−ζ³⁰	ζ¹⁴−ζ¹⁸	−ζ¹⁴+ζ¹⁸	ζ⁵−ζ²⁷	−ζ⁵+ζ²⁷	ζ¹¹−ζ²¹	−ζ¹¹+ζ²¹	−ζ³+ζ²⁹	ζ³−ζ²⁹	−ζ¹³+ζ¹⁹	ζ¹³−ζ¹⁹	ζ¹⁵−ζ¹⁷	−ζ¹⁵+ζ¹⁷	ζ−ζ³¹	−ζ+ζ³¹	−ζ⁷+ζ²⁵	ζ⁷−ζ²⁵	ζ⁹−ζ²³	−ζ⁹+ζ²³	0	0
χ₃₃	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹²+ζ²⁰	ζ¹²−ζ²⁰	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	ζ¹⁰−ζ²²	−ζ¹⁰+ζ²²	ζ⁶−ζ²⁶	−ζ⁶+ζ²⁶	−ζ²+ζ³⁰	ζ²−ζ³⁰	ζ¹⁴−ζ¹⁸	−ζ¹⁴+ζ¹⁸	−ζ⁵+ζ²⁷	ζ⁵−ζ²⁷	−ζ¹¹+ζ²¹	ζ¹¹−ζ²¹	ζ³−ζ²⁹	−ζ³+ζ²⁹	ζ¹³−ζ¹⁹	−ζ¹³+ζ¹⁹	−ζ¹⁵+ζ¹⁷	ζ¹⁵−ζ¹⁷	−ζ+ζ³¹	ζ−ζ³¹	ζ⁷−ζ²⁵	−ζ⁷+ζ²⁵	−ζ⁹+ζ²³	ζ⁹−ζ²³	0	0
χ₃₄	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹²+ζ²⁰	ζ¹²−ζ²⁰	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	−ζ¹⁰+ζ²²	ζ¹⁰−ζ²²	−ζ⁶+ζ²⁶	ζ⁶−ζ²⁶	ζ²−ζ³⁰	−ζ²+ζ³⁰	−ζ¹⁴+ζ¹⁸	ζ¹⁴−ζ¹⁸	ζ¹¹−ζ²¹	−ζ¹¹+ζ²¹	−ζ⁵+ζ²⁷	ζ⁵−ζ²⁷	ζ¹³−ζ¹⁹	−ζ¹³+ζ¹⁹	−ζ³+ζ²⁹	ζ³−ζ²⁹	−ζ+ζ³¹	ζ−ζ³¹	ζ¹⁵−ζ¹⁷	−ζ¹⁵+ζ¹⁷	ζ⁹−ζ²³	−ζ⁹+ζ²³	ζ⁷−ζ²⁵	−ζ⁷+ζ²⁵	0	0
χ₃₅	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹²+ζ²⁰	ζ¹²−ζ²⁰	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	−ζ¹⁰+ζ²²	ζ¹⁰−ζ²²	−ζ⁶+ζ²⁶	ζ⁶−ζ²⁶	ζ²−ζ³⁰	−ζ²+ζ³⁰	−ζ¹⁴+ζ¹⁸	ζ¹⁴−ζ¹⁸	−ζ¹¹+ζ²¹	ζ¹¹−ζ²¹	ζ⁵−ζ²⁷	−ζ⁵+ζ²⁷	−ζ¹³+ζ¹⁹	ζ¹³−ζ¹⁹	ζ³−ζ²⁹	−ζ³+ζ²⁹	ζ−ζ³¹	−ζ+ζ³¹	−ζ¹⁵+ζ¹⁷	ζ¹⁵−ζ¹⁷	−ζ⁹+ζ²³	ζ⁹−ζ²³	−ζ⁷+ζ²⁵	ζ⁷−ζ²⁵	0	0

Character table — Group #1431