Group #88577 — 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	C₃₆	C₃₇	C₃₈	C₃₉	C₄₀	C₄₁	C₄₂
size	1	2	2	2	2	3	6	6	6	6	8	8	8	8	8	8	8	8	8	54	54	1	2	2	2	2	3	6	6	6	6	8	8	8	8	8	8	8	8	8	54	54
order	1	3	9	9	9	2	6	18	18	18	27	27	27	27	27	27	27	27	27	2	4	2	6	18	18	18	2	6	18	18	18	54	54	54	54	54	54	54	54	54	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	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	1	1	1	1	1	-1	-1
χ₃	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0
χ₄	2	2	-1	-1	-1	2	2	-1	-1	-1	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	0	0	2	2	-1	-1	-1	2	2	-1	-1	-1	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	0	0
χ₅	2	2	-1	-1	-1	2	2	-1	-1	-1	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	0	0	2	2	-1	-1	-1	2	2	-1	-1	-1	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	0	0
χ₆	2	2	-1	-1	-1	2	2	-1	-1	-1	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	0	0	2	2	-1	-1	-1	2	2	-1	-1	-1	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	0	0
χ₇	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ²+ζ²⁵	ζ⁷+ζ²⁰	ζ¹¹+ζ¹⁶	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	0	0	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ²+ζ²⁵	ζ⁷+ζ²⁰	ζ¹¹+ζ¹⁶	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	0	0
χ₈	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ¹¹+ζ¹⁶	ζ²+ζ²⁵	ζ⁷+ζ²⁰	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	0	0	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ¹¹+ζ¹⁶	ζ²+ζ²⁵	ζ⁷+ζ²⁰	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	0	0
χ₉	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ⁷+ζ²⁰	ζ¹¹+ζ¹⁶	ζ²+ζ²⁵	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ⁵+ζ²²	0	0	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ⁷+ζ²⁰	ζ¹¹+ζ¹⁶	ζ²+ζ²⁵	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ⁵+ζ²²	0	0
χ₁₀	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ⁴+ζ²³	ζ¹³+ζ¹⁴	ζ⁵+ζ²²	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	0	0	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ⁴+ζ²³	ζ¹³+ζ¹⁴	ζ⁵+ζ²²	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	0	0
χ₁₁	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ¹³+ζ¹⁴	ζ⁵+ζ²²	ζ⁴+ζ²³	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	0	0	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ¹³+ζ¹⁴	ζ⁵+ζ²²	ζ⁴+ζ²³	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	0	0
χ₁₂	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ⁵+ζ²²	ζ⁴+ζ²³	ζ¹³+ζ¹⁴	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ⁸+ζ¹⁹	0	0	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ⁵+ζ²²	ζ⁴+ζ²³	ζ¹³+ζ¹⁴	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ⁸+ζ¹⁹	0	0
χ₁₃	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁸+ζ¹⁹	ζ+ζ²⁶	ζ¹⁰+ζ¹⁷	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	0	0	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁸+ζ¹⁹	ζ+ζ²⁶	ζ¹⁰+ζ¹⁷	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	0	0
χ₁₄	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ¹⁰+ζ¹⁷	ζ⁸+ζ¹⁹	ζ+ζ²⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	0	0	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ¹⁰+ζ¹⁷	ζ⁸+ζ¹⁹	ζ+ζ²⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	0	0
χ₁₅	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ+ζ²⁶	ζ¹⁰+ζ¹⁷	ζ⁸+ζ¹⁹	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	0	0	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ+ζ²⁶	ζ¹⁰+ζ¹⁷	ζ⁸+ζ¹⁹	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	0	0
χ₁₆	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	1	-1	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	1	-1
χ₁₇	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	-1	1	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	-1	1
χ₁₈	6	6	-3	-3	-3	-2	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	6	6	-3	-3	-3	-2	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	6	-3	3ζ³+3ζ²⁴	3ζ⁶+3ζ²¹	3ζ¹²+3ζ¹⁵	-2	1	−ζ³−ζ²⁴	−ζ⁶−ζ²¹	−ζ¹²−ζ¹⁵	0	0	0	0	0	0	0	0	0	0	0	6	-3	3ζ³+3ζ²⁴	3ζ⁶+3ζ²¹	3ζ¹²+3ζ¹⁵	-2	1	−ζ³−ζ²⁴	−ζ⁶−ζ²¹	−ζ¹²−ζ¹⁵	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	6	-3	3ζ⁶+3ζ²¹	3ζ¹²+3ζ¹⁵	3ζ³+3ζ²⁴	-2	1	−ζ⁶−ζ²¹	−ζ¹²−ζ¹⁵	−ζ³−ζ²⁴	0	0	0	0	0	0	0	0	0	0	0	6	-3	3ζ⁶+3ζ²¹	3ζ¹²+3ζ¹⁵	3ζ³+3ζ²⁴	-2	1	−ζ⁶−ζ²¹	−ζ¹²−ζ¹⁵	−ζ³−ζ²⁴	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	6	-3	3ζ¹²+3ζ¹⁵	3ζ³+3ζ²⁴	3ζ⁶+3ζ²¹	-2	1	−ζ¹²−ζ¹⁵	−ζ³−ζ²⁴	−ζ⁶−ζ²¹	0	0	0	0	0	0	0	0	0	0	0	6	-3	3ζ¹²+3ζ¹⁵	3ζ³+3ζ²⁴	3ζ⁶+3ζ²¹	-2	1	−ζ¹²−ζ¹⁵	−ζ³−ζ²⁴	−ζ⁶−ζ²¹	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	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	-1	-1	-1	-1	-1	-1	-1
χ₂₃	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	-1	-1	-1	-1	-1	1	1
χ₂₄	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	1	1	1	0	0
χ₂₅	2	2	-1	-1	-1	2	2	-1	-1	-1	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	0	0	-2	-2	1	1	1	-2	-2	1	1	1	−ζ³−ζ²⁴	−ζ³−ζ²⁴	−ζ³−ζ²⁴	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ¹²−ζ¹⁵	−ζ¹²−ζ¹⁵	−ζ¹²−ζ¹⁵	0	0
χ₂₆	2	2	-1	-1	-1	2	2	-1	-1	-1	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	0	0	-2	-2	1	1	1	-2	-2	1	1	1	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ¹²−ζ¹⁵	−ζ¹²−ζ¹⁵	−ζ¹²−ζ¹⁵	−ζ³−ζ²⁴	−ζ³−ζ²⁴	−ζ³−ζ²⁴	0	0
χ₂₇	2	2	-1	-1	-1	2	2	-1	-1	-1	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	0	0	-2	-2	1	1	1	-2	-2	1	1	1	−ζ¹²−ζ¹⁵	−ζ¹²−ζ¹⁵	−ζ¹²−ζ¹⁵	−ζ³−ζ²⁴	−ζ³−ζ²⁴	−ζ³−ζ²⁴	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	0	0
χ₂₈	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ²+ζ²⁵	ζ⁷+ζ²⁰	ζ¹¹+ζ¹⁶	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	0	0	-2	1	−ζ³−ζ²⁴	−ζ⁶−ζ²¹	−ζ¹²−ζ¹⁵	-2	1	−ζ³−ζ²⁴	−ζ⁶−ζ²¹	−ζ¹²−ζ¹⁵	−ζ−ζ²⁶	−ζ⁸−ζ¹⁹	−ζ¹⁰−ζ¹⁷	−ζ²−ζ²⁵	−ζ⁷−ζ²⁰	−ζ¹¹−ζ¹⁶	−ζ⁴−ζ²³	−ζ⁵−ζ²²	−ζ¹³−ζ¹⁴	0	0
χ₂₉	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ¹¹+ζ¹⁶	ζ²+ζ²⁵	ζ⁷+ζ²⁰	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	0	0	-2	1	−ζ³−ζ²⁴	−ζ⁶−ζ²¹	−ζ¹²−ζ¹⁵	-2	1	−ζ³−ζ²⁴	−ζ⁶−ζ²¹	−ζ¹²−ζ¹⁵	−ζ⁸−ζ¹⁹	−ζ¹⁰−ζ¹⁷	−ζ−ζ²⁶	−ζ¹¹−ζ¹⁶	−ζ²−ζ²⁵	−ζ⁷−ζ²⁰	−ζ⁵−ζ²²	−ζ¹³−ζ¹⁴	−ζ⁴−ζ²³	0	0
χ₃₀	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ⁷+ζ²⁰	ζ¹¹+ζ¹⁶	ζ²+ζ²⁵	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ⁵+ζ²²	0	0	-2	1	−ζ³−ζ²⁴	−ζ⁶−ζ²¹	−ζ¹²−ζ¹⁵	-2	1	−ζ³−ζ²⁴	−ζ⁶−ζ²¹	−ζ¹²−ζ¹⁵	−ζ¹⁰−ζ¹⁷	−ζ−ζ²⁶	−ζ⁸−ζ¹⁹	−ζ⁷−ζ²⁰	−ζ¹¹−ζ¹⁶	−ζ²−ζ²⁵	−ζ¹³−ζ¹⁴	−ζ⁴−ζ²³	−ζ⁵−ζ²²	0	0
χ₃₁	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ⁴+ζ²³	ζ¹³+ζ¹⁴	ζ⁵+ζ²²	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	0	0	-2	1	−ζ⁶−ζ²¹	−ζ¹²−ζ¹⁵	−ζ³−ζ²⁴	-2	1	−ζ⁶−ζ²¹	−ζ¹²−ζ¹⁵	−ζ³−ζ²⁴	−ζ²−ζ²⁵	−ζ¹¹−ζ¹⁶	−ζ⁷−ζ²⁰	−ζ⁴−ζ²³	−ζ¹³−ζ¹⁴	−ζ⁵−ζ²²	−ζ⁸−ζ¹⁹	−ζ¹⁰−ζ¹⁷	−ζ−ζ²⁶	0	0
χ₃₂	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ¹³+ζ¹⁴	ζ⁵+ζ²²	ζ⁴+ζ²³	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	0	0	-2	1	−ζ⁶−ζ²¹	−ζ¹²−ζ¹⁵	−ζ³−ζ²⁴	-2	1	−ζ⁶−ζ²¹	−ζ¹²−ζ¹⁵	−ζ³−ζ²⁴	−ζ⁷−ζ²⁰	−ζ²−ζ²⁵	−ζ¹¹−ζ¹⁶	−ζ¹³−ζ¹⁴	−ζ⁵−ζ²²	−ζ⁴−ζ²³	−ζ−ζ²⁶	−ζ⁸−ζ¹⁹	−ζ¹⁰−ζ¹⁷	0	0
χ₃₃	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ⁵+ζ²²	ζ⁴+ζ²³	ζ¹³+ζ¹⁴	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ⁸+ζ¹⁹	0	0	-2	1	−ζ⁶−ζ²¹	−ζ¹²−ζ¹⁵	−ζ³−ζ²⁴	-2	1	−ζ⁶−ζ²¹	−ζ¹²−ζ¹⁵	−ζ³−ζ²⁴	−ζ¹¹−ζ¹⁶	−ζ⁷−ζ²⁰	−ζ²−ζ²⁵	−ζ⁵−ζ²²	−ζ⁴−ζ²³	−ζ¹³−ζ¹⁴	−ζ¹⁰−ζ¹⁷	−ζ−ζ²⁶	−ζ⁸−ζ¹⁹	0	0
χ₃₄	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁸+ζ¹⁹	ζ+ζ²⁶	ζ¹⁰+ζ¹⁷	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	0	0	-2	1	−ζ¹²−ζ¹⁵	−ζ³−ζ²⁴	−ζ⁶−ζ²¹	-2	1	−ζ¹²−ζ¹⁵	−ζ³−ζ²⁴	−ζ⁶−ζ²¹	−ζ⁴−ζ²³	−ζ⁵−ζ²²	−ζ¹³−ζ¹⁴	−ζ⁸−ζ¹⁹	−ζ−ζ²⁶	−ζ¹⁰−ζ¹⁷	−ζ¹¹−ζ¹⁶	−ζ⁷−ζ²⁰	−ζ²−ζ²⁵	0	0
χ₃₅	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ¹⁰+ζ¹⁷	ζ⁸+ζ¹⁹	ζ+ζ²⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	0	0	-2	1	−ζ¹²−ζ¹⁵	−ζ³−ζ²⁴	−ζ⁶−ζ²¹	-2	1	−ζ¹²−ζ¹⁵	−ζ³−ζ²⁴	−ζ⁶−ζ²¹	−ζ⁵−ζ²²	−ζ¹³−ζ¹⁴	−ζ⁴−ζ²³	−ζ¹⁰−ζ¹⁷	−ζ⁸−ζ¹⁹	−ζ−ζ²⁶	−ζ⁷−ζ²⁰	−ζ²−ζ²⁵	−ζ¹¹−ζ¹⁶	0	0
χ₃₆	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ+ζ²⁶	ζ¹⁰+ζ¹⁷	ζ⁸+ζ¹⁹	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	0	0	-2	1	−ζ¹²−ζ¹⁵	−ζ³−ζ²⁴	−ζ⁶−ζ²¹	-2	1	−ζ¹²−ζ¹⁵	−ζ³−ζ²⁴	−ζ⁶−ζ²¹	−ζ¹³−ζ¹⁴	−ζ⁴−ζ²³	−ζ⁵−ζ²²	−ζ−ζ²⁶	−ζ¹⁰−ζ¹⁷	−ζ⁸−ζ¹⁹	−ζ²−ζ²⁵	−ζ¹¹−ζ¹⁶	−ζ⁷−ζ²⁰	0	0
χ₃₇	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	1	-1	-3	-3	-3	-3	-3	1	1	1	1	1	0	0	0	0	0	0	0	0	0	-1	1
χ₃₈	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	-1	1	-3	-3	-3	-3	-3	1	1	1	1	1	0	0	0	0	0	0	0	0	0	1	-1
χ₃₉	6	6	-3	-3	-3	-2	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	-6	-6	3	3	3	2	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	6	-3	3ζ³+3ζ²⁴	3ζ⁶+3ζ²¹	3ζ¹²+3ζ¹⁵	-2	1	−ζ³−ζ²⁴	−ζ⁶−ζ²¹	−ζ¹²−ζ¹⁵	0	0	0	0	0	0	0	0	0	0	0	-6	3	−3ζ³−3ζ²⁴	−3ζ⁶−3ζ²¹	−3ζ¹²−3ζ¹⁵	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	6	-3	3ζ⁶+3ζ²¹	3ζ¹²+3ζ¹⁵	3ζ³+3ζ²⁴	-2	1	−ζ⁶−ζ²¹	−ζ¹²−ζ¹⁵	−ζ³−ζ²⁴	0	0	0	0	0	0	0	0	0	0	0	-6	3	−3ζ⁶−3ζ²¹	−3ζ¹²−3ζ¹⁵	−3ζ³−3ζ²⁴	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	6	-3	3ζ¹²+3ζ¹⁵	3ζ³+3ζ²⁴	3ζ⁶+3ζ²¹	-2	1	−ζ¹²−ζ¹⁵	−ζ³−ζ²⁴	−ζ⁶−ζ²¹	0	0	0	0	0	0	0	0	0	0	0	-6	3	−3ζ¹²−3ζ¹⁵	−3ζ³−3ζ²⁴	−3ζ⁶−3ζ²¹	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #88577