Group #63164 — 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	2	2	2	2	2	3	6	6	6	6	6	8	8	8	8	8	8	8	8	8	8	8	66	66
order	1	11	11	11	11	11	2	22	22	22	22	22	3	33	33	33	33	33	33	33	33	33	33	2	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
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	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0
χ₄	2	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	2	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	2	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ−ζ¹⁰−ζ²³−ζ³²	0	0
χ₅	2	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	2	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	-1	ζ⁴+ζ²⁹	ζ⁷+ζ²⁶	ζ²+ζ³¹	ζ¹³+ζ²⁰	ζ¹⁴+ζ¹⁹	ζ⁸+ζ²⁵	ζ¹⁶+ζ¹⁷	ζ⁵+ζ²⁸	ζ¹⁰+ζ²³	ζ+ζ³²	0	0
χ₆	2	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	2	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	-1	ζ⁷+ζ²⁶	ζ⁴+ζ²⁹	ζ¹³+ζ²⁰	ζ²+ζ³¹	ζ⁸+ζ²⁵	ζ¹⁴+ζ¹⁹	ζ⁵+ζ²⁸	ζ¹⁶+ζ¹⁷	ζ+ζ³²	ζ¹⁰+ζ²³	0	0
χ₇	2	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	2	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	2	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	0	0
χ₈	2	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	2	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	-1	ζ²+ζ³¹	ζ¹³+ζ²⁰	ζ+ζ³²	ζ¹⁰+ζ²³	ζ⁷+ζ²⁶	ζ⁴+ζ²⁹	ζ⁸+ζ²⁵	ζ¹⁴+ζ¹⁹	ζ⁵+ζ²⁸	ζ¹⁶+ζ¹⁷	0	0
χ₉	2	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	2	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	-1	ζ¹³+ζ²⁰	ζ²+ζ³¹	ζ¹⁰+ζ²³	ζ+ζ³²	ζ⁴+ζ²⁹	ζ⁷+ζ²⁶	ζ¹⁴+ζ¹⁹	ζ⁸+ζ²⁵	ζ¹⁶+ζ¹⁷	ζ⁵+ζ²⁸	0	0
χ₁₀	2	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	2	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	2	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ²−ζ¹³−ζ²⁰−ζ³¹	0	0
χ₁₁	2	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	2	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	-1	ζ¹⁴+ζ¹⁹	ζ⁸+ζ²⁵	ζ⁷+ζ²⁶	ζ⁴+ζ²⁹	ζ¹⁶+ζ¹⁷	ζ⁵+ζ²⁸	ζ¹⁰+ζ²³	ζ+ζ³²	ζ²+ζ³¹	ζ¹³+ζ²⁰	0	0
χ₁₂	2	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	2	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	-1	ζ⁸+ζ²⁵	ζ¹⁴+ζ¹⁹	ζ⁴+ζ²⁹	ζ⁷+ζ²⁶	ζ⁵+ζ²⁸	ζ¹⁶+ζ¹⁷	ζ+ζ³²	ζ¹⁰+ζ²³	ζ¹³+ζ²⁰	ζ²+ζ³¹	0	0
χ₁₃	2	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	2	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	2	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	0	0
χ₁₄	2	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	2	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	-1	ζ¹⁶+ζ¹⁷	ζ⁵+ζ²⁸	ζ⁸+ζ²⁵	ζ¹⁴+ζ¹⁹	ζ¹⁰+ζ²³	ζ+ζ³²	ζ²+ζ³¹	ζ¹³+ζ²⁰	ζ⁷+ζ²⁶	ζ⁴+ζ²⁹	0	0
χ₁₅	2	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	2	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	-1	ζ⁵+ζ²⁸	ζ¹⁶+ζ¹⁷	ζ¹⁴+ζ¹⁹	ζ⁸+ζ²⁵	ζ+ζ³²	ζ¹⁰+ζ²³	ζ¹³+ζ²⁰	ζ²+ζ³¹	ζ⁴+ζ²⁹	ζ⁷+ζ²⁶	0	0
χ₁₆	2	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	2	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	2	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	0	0
χ₁₇	2	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	2	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	-1	ζ¹⁰+ζ²³	ζ+ζ³²	ζ⁵+ζ²⁸	ζ¹⁶+ζ¹⁷	ζ²+ζ³¹	ζ¹³+ζ²⁰	ζ⁷+ζ²⁶	ζ⁴+ζ²⁹	ζ⁸+ζ²⁵	ζ¹⁴+ζ¹⁹	0	0
χ₁₈	2	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	2	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	-1	ζ+ζ³²	ζ¹⁰+ζ²³	ζ¹⁶+ζ¹⁷	ζ⁵+ζ²⁸	ζ¹³+ζ²⁰	ζ²+ζ³¹	ζ⁴+ζ²⁹	ζ⁷+ζ²⁶	ζ¹⁴+ζ¹⁹	ζ⁸+ζ²⁵	0	0
χ₁₉	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	1	-1
χ₂₀	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	-1	1
χ₂₁	6	−3ζ⁴−3ζ⁷−3ζ²⁶−3ζ²⁹	−3ζ²−3ζ¹³−3ζ²⁰−3ζ³¹	−3ζ⁸−3ζ¹⁴−3ζ¹⁹−3ζ²⁵	−3ζ⁵−3ζ¹⁶−3ζ¹⁷−3ζ²⁸	−3ζ−3ζ¹⁰−3ζ²³−3ζ³²	-2	ζ⁴+ζ⁷+ζ²⁶+ζ²⁹	ζ²+ζ¹³+ζ²⁰+ζ³¹	ζ⁸+ζ¹⁴+ζ¹⁹+ζ²⁵	ζ⁵+ζ¹⁶+ζ¹⁷+ζ²⁸	ζ+ζ¹⁰+ζ²³+ζ³²	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	6	−3ζ²−3ζ¹³−3ζ²⁰−3ζ³¹	−3ζ−3ζ¹⁰−3ζ²³−3ζ³²	−3ζ⁴−3ζ⁷−3ζ²⁶−3ζ²⁹	−3ζ⁸−3ζ¹⁴−3ζ¹⁹−3ζ²⁵	−3ζ⁵−3ζ¹⁶−3ζ¹⁷−3ζ²⁸	-2	ζ²+ζ¹³+ζ²⁰+ζ³¹	ζ+ζ¹⁰+ζ²³+ζ³²	ζ⁴+ζ⁷+ζ²⁶+ζ²⁹	ζ⁸+ζ¹⁴+ζ¹⁹+ζ²⁵	ζ⁵+ζ¹⁶+ζ¹⁷+ζ²⁸	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	6	−3ζ⁸−3ζ¹⁴−3ζ¹⁹−3ζ²⁵	−3ζ⁴−3ζ⁷−3ζ²⁶−3ζ²⁹	−3ζ⁵−3ζ¹⁶−3ζ¹⁷−3ζ²⁸	−3ζ−3ζ¹⁰−3ζ²³−3ζ³²	−3ζ²−3ζ¹³−3ζ²⁰−3ζ³¹	-2	ζ⁸+ζ¹⁴+ζ¹⁹+ζ²⁵	ζ⁴+ζ⁷+ζ²⁶+ζ²⁹	ζ⁵+ζ¹⁶+ζ¹⁷+ζ²⁸	ζ+ζ¹⁰+ζ²³+ζ³²	ζ²+ζ¹³+ζ²⁰+ζ³¹	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	6	−3ζ⁵−3ζ¹⁶−3ζ¹⁷−3ζ²⁸	−3ζ⁸−3ζ¹⁴−3ζ¹⁹−3ζ²⁵	−3ζ−3ζ¹⁰−3ζ²³−3ζ³²	−3ζ²−3ζ¹³−3ζ²⁰−3ζ³¹	−3ζ⁴−3ζ⁷−3ζ²⁶−3ζ²⁹	-2	ζ⁵+ζ¹⁶+ζ¹⁷+ζ²⁸	ζ⁸+ζ¹⁴+ζ¹⁹+ζ²⁵	ζ+ζ¹⁰+ζ²³+ζ³²	ζ²+ζ¹³+ζ²⁰+ζ³¹	ζ⁴+ζ⁷+ζ²⁶+ζ²⁹	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	6	−3ζ−3ζ¹⁰−3ζ²³−3ζ³²	−3ζ⁵−3ζ¹⁶−3ζ¹⁷−3ζ²⁸	−3ζ²−3ζ¹³−3ζ²⁰−3ζ³¹	−3ζ⁴−3ζ⁷−3ζ²⁶−3ζ²⁹	−3ζ⁸−3ζ¹⁴−3ζ¹⁹−3ζ²⁵	-2	ζ+ζ¹⁰+ζ²³+ζ³²	ζ⁵+ζ¹⁶+ζ¹⁷+ζ²⁸	ζ²+ζ¹³+ζ²⁰+ζ³¹	ζ⁴+ζ⁷+ζ²⁶+ζ²⁹	ζ⁸+ζ¹⁴+ζ¹⁹+ζ²⁵	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #63164