Group #6078 — 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
size	1	2	2	2	2	2	2	2	2	17	2	4	4	4	4	4	4	4	4	34	3	6	6	6	6	6	6	6	6	51
order	1	17	17	17	17	17	17	17	17	2	3	51	51	51	51	51	51	51	51	6	2	34	34	34	34	34	34	34	34	2
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
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
χ₃	2	ζ+ζ¹⁶	ζ²+ζ¹⁵	ζ³+ζ¹⁴	ζ⁴+ζ¹³	ζ⁵+ζ¹²	ζ⁶+ζ¹¹	ζ⁷+ζ¹⁰	ζ⁸+ζ⁹	0	2	ζ+ζ¹⁶	ζ²+ζ¹⁵	ζ³+ζ¹⁴	ζ⁴+ζ¹³	ζ⁵+ζ¹²	ζ⁶+ζ¹¹	ζ⁷+ζ¹⁰	ζ⁸+ζ⁹	0	2	ζ+ζ¹⁶	ζ²+ζ¹⁵	ζ³+ζ¹⁴	ζ⁴+ζ¹³	ζ⁵+ζ¹²	ζ⁶+ζ¹¹	ζ⁷+ζ¹⁰	ζ⁸+ζ⁹	0
χ₄	2	ζ²+ζ¹⁵	ζ⁴+ζ¹³	ζ⁶+ζ¹¹	ζ⁸+ζ⁹	ζ⁷+ζ¹⁰	ζ⁵+ζ¹²	ζ³+ζ¹⁴	ζ+ζ¹⁶	0	2	ζ²+ζ¹⁵	ζ⁴+ζ¹³	ζ⁶+ζ¹¹	ζ⁸+ζ⁹	ζ⁷+ζ¹⁰	ζ⁵+ζ¹²	ζ³+ζ¹⁴	ζ+ζ¹⁶	0	2	ζ²+ζ¹⁵	ζ⁴+ζ¹³	ζ⁶+ζ¹¹	ζ⁸+ζ⁹	ζ⁷+ζ¹⁰	ζ⁵+ζ¹²	ζ³+ζ¹⁴	ζ+ζ¹⁶	0
χ₅	2	ζ³+ζ¹⁴	ζ⁶+ζ¹¹	ζ⁸+ζ⁹	ζ⁵+ζ¹²	ζ²+ζ¹⁵	ζ+ζ¹⁶	ζ⁴+ζ¹³	ζ⁷+ζ¹⁰	0	2	ζ³+ζ¹⁴	ζ⁶+ζ¹¹	ζ⁸+ζ⁹	ζ⁵+ζ¹²	ζ²+ζ¹⁵	ζ+ζ¹⁶	ζ⁴+ζ¹³	ζ⁷+ζ¹⁰	0	2	ζ³+ζ¹⁴	ζ⁶+ζ¹¹	ζ⁸+ζ⁹	ζ⁵+ζ¹²	ζ²+ζ¹⁵	ζ+ζ¹⁶	ζ⁴+ζ¹³	ζ⁷+ζ¹⁰	0
χ₆	2	ζ⁴+ζ¹³	ζ⁸+ζ⁹	ζ⁵+ζ¹²	ζ+ζ¹⁶	ζ³+ζ¹⁴	ζ⁷+ζ¹⁰	ζ⁶+ζ¹¹	ζ²+ζ¹⁵	0	2	ζ⁴+ζ¹³	ζ⁸+ζ⁹	ζ⁵+ζ¹²	ζ+ζ¹⁶	ζ³+ζ¹⁴	ζ⁷+ζ¹⁰	ζ⁶+ζ¹¹	ζ²+ζ¹⁵	0	2	ζ⁴+ζ¹³	ζ⁸+ζ⁹	ζ⁵+ζ¹²	ζ+ζ¹⁶	ζ³+ζ¹⁴	ζ⁷+ζ¹⁰	ζ⁶+ζ¹¹	ζ²+ζ¹⁵	0
χ₇	2	ζ⁵+ζ¹²	ζ⁷+ζ¹⁰	ζ²+ζ¹⁵	ζ³+ζ¹⁴	ζ⁸+ζ⁹	ζ⁴+ζ¹³	ζ+ζ¹⁶	ζ⁶+ζ¹¹	0	2	ζ⁵+ζ¹²	ζ⁷+ζ¹⁰	ζ²+ζ¹⁵	ζ³+ζ¹⁴	ζ⁸+ζ⁹	ζ⁴+ζ¹³	ζ+ζ¹⁶	ζ⁶+ζ¹¹	0	2	ζ⁵+ζ¹²	ζ⁷+ζ¹⁰	ζ²+ζ¹⁵	ζ³+ζ¹⁴	ζ⁸+ζ⁹	ζ⁴+ζ¹³	ζ+ζ¹⁶	ζ⁶+ζ¹¹	0
χ₈	2	ζ⁶+ζ¹¹	ζ⁵+ζ¹²	ζ+ζ¹⁶	ζ⁷+ζ¹⁰	ζ⁴+ζ¹³	ζ²+ζ¹⁵	ζ⁸+ζ⁹	ζ³+ζ¹⁴	0	2	ζ⁶+ζ¹¹	ζ⁵+ζ¹²	ζ+ζ¹⁶	ζ⁷+ζ¹⁰	ζ⁴+ζ¹³	ζ²+ζ¹⁵	ζ⁸+ζ⁹	ζ³+ζ¹⁴	0	2	ζ⁶+ζ¹¹	ζ⁵+ζ¹²	ζ+ζ¹⁶	ζ⁷+ζ¹⁰	ζ⁴+ζ¹³	ζ²+ζ¹⁵	ζ⁸+ζ⁹	ζ³+ζ¹⁴	0
χ₉	2	ζ⁷+ζ¹⁰	ζ³+ζ¹⁴	ζ⁴+ζ¹³	ζ⁶+ζ¹¹	ζ+ζ¹⁶	ζ⁸+ζ⁹	ζ²+ζ¹⁵	ζ⁵+ζ¹²	0	2	ζ⁷+ζ¹⁰	ζ³+ζ¹⁴	ζ⁴+ζ¹³	ζ⁶+ζ¹¹	ζ+ζ¹⁶	ζ⁸+ζ⁹	ζ²+ζ¹⁵	ζ⁵+ζ¹²	0	2	ζ⁷+ζ¹⁰	ζ³+ζ¹⁴	ζ⁴+ζ¹³	ζ⁶+ζ¹¹	ζ+ζ¹⁶	ζ⁸+ζ⁹	ζ²+ζ¹⁵	ζ⁵+ζ¹²	0
χ₁₀	2	ζ⁸+ζ⁹	ζ+ζ¹⁶	ζ⁷+ζ¹⁰	ζ²+ζ¹⁵	ζ⁶+ζ¹¹	ζ³+ζ¹⁴	ζ⁵+ζ¹²	ζ⁴+ζ¹³	0	2	ζ⁸+ζ⁹	ζ+ζ¹⁶	ζ⁷+ζ¹⁰	ζ²+ζ¹⁵	ζ⁶+ζ¹¹	ζ³+ζ¹⁴	ζ⁵+ζ¹²	ζ⁴+ζ¹³	0	2	ζ⁸+ζ⁹	ζ+ζ¹⁶	ζ⁷+ζ¹⁰	ζ²+ζ¹⁵	ζ⁶+ζ¹¹	ζ³+ζ¹⁴	ζ⁵+ζ¹²	ζ⁴+ζ¹³	0
χ₁₁	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
χ₁₂	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
χ₁₃	2	ζ+ζ¹⁶	ζ²+ζ¹⁵	ζ³+ζ¹⁴	ζ⁴+ζ¹³	ζ⁵+ζ¹²	ζ⁶+ζ¹¹	ζ⁷+ζ¹⁰	ζ⁸+ζ⁹	0	2	ζ+ζ¹⁶	ζ²+ζ¹⁵	ζ³+ζ¹⁴	ζ⁴+ζ¹³	ζ⁵+ζ¹²	ζ⁶+ζ¹¹	ζ⁷+ζ¹⁰	ζ⁸+ζ⁹	0	-2	−ζ−ζ¹⁶	−ζ²−ζ¹⁵	−ζ³−ζ¹⁴	−ζ⁴−ζ¹³	−ζ⁵−ζ¹²	−ζ⁶−ζ¹¹	−ζ⁷−ζ¹⁰	−ζ⁸−ζ⁹	0
χ₁₄	2	ζ²+ζ¹⁵	ζ⁴+ζ¹³	ζ⁶+ζ¹¹	ζ⁸+ζ⁹	ζ⁷+ζ¹⁰	ζ⁵+ζ¹²	ζ³+ζ¹⁴	ζ+ζ¹⁶	0	2	ζ²+ζ¹⁵	ζ⁴+ζ¹³	ζ⁶+ζ¹¹	ζ⁸+ζ⁹	ζ⁷+ζ¹⁰	ζ⁵+ζ¹²	ζ³+ζ¹⁴	ζ+ζ¹⁶	0	-2	−ζ²−ζ¹⁵	−ζ⁴−ζ¹³	−ζ⁶−ζ¹¹	−ζ⁸−ζ⁹	−ζ⁷−ζ¹⁰	−ζ⁵−ζ¹²	−ζ³−ζ¹⁴	−ζ−ζ¹⁶	0
χ₁₅	2	ζ³+ζ¹⁴	ζ⁶+ζ¹¹	ζ⁸+ζ⁹	ζ⁵+ζ¹²	ζ²+ζ¹⁵	ζ+ζ¹⁶	ζ⁴+ζ¹³	ζ⁷+ζ¹⁰	0	2	ζ³+ζ¹⁴	ζ⁶+ζ¹¹	ζ⁸+ζ⁹	ζ⁵+ζ¹²	ζ²+ζ¹⁵	ζ+ζ¹⁶	ζ⁴+ζ¹³	ζ⁷+ζ¹⁰	0	-2	−ζ³−ζ¹⁴	−ζ⁶−ζ¹¹	−ζ⁸−ζ⁹	−ζ⁵−ζ¹²	−ζ²−ζ¹⁵	−ζ−ζ¹⁶	−ζ⁴−ζ¹³	−ζ⁷−ζ¹⁰	0
χ₁₆	2	ζ⁴+ζ¹³	ζ⁸+ζ⁹	ζ⁵+ζ¹²	ζ+ζ¹⁶	ζ³+ζ¹⁴	ζ⁷+ζ¹⁰	ζ⁶+ζ¹¹	ζ²+ζ¹⁵	0	2	ζ⁴+ζ¹³	ζ⁸+ζ⁹	ζ⁵+ζ¹²	ζ+ζ¹⁶	ζ³+ζ¹⁴	ζ⁷+ζ¹⁰	ζ⁶+ζ¹¹	ζ²+ζ¹⁵	0	-2	−ζ⁴−ζ¹³	−ζ⁸−ζ⁹	−ζ⁵−ζ¹²	−ζ−ζ¹⁶	−ζ³−ζ¹⁴	−ζ⁷−ζ¹⁰	−ζ⁶−ζ¹¹	−ζ²−ζ¹⁵	0
χ₁₇	2	ζ⁵+ζ¹²	ζ⁷+ζ¹⁰	ζ²+ζ¹⁵	ζ³+ζ¹⁴	ζ⁸+ζ⁹	ζ⁴+ζ¹³	ζ+ζ¹⁶	ζ⁶+ζ¹¹	0	2	ζ⁵+ζ¹²	ζ⁷+ζ¹⁰	ζ²+ζ¹⁵	ζ³+ζ¹⁴	ζ⁸+ζ⁹	ζ⁴+ζ¹³	ζ+ζ¹⁶	ζ⁶+ζ¹¹	0	-2	−ζ⁵−ζ¹²	−ζ⁷−ζ¹⁰	−ζ²−ζ¹⁵	−ζ³−ζ¹⁴	−ζ⁸−ζ⁹	−ζ⁴−ζ¹³	−ζ−ζ¹⁶	−ζ⁶−ζ¹¹	0
χ₁₈	2	ζ⁶+ζ¹¹	ζ⁵+ζ¹²	ζ+ζ¹⁶	ζ⁷+ζ¹⁰	ζ⁴+ζ¹³	ζ²+ζ¹⁵	ζ⁸+ζ⁹	ζ³+ζ¹⁴	0	2	ζ⁶+ζ¹¹	ζ⁵+ζ¹²	ζ+ζ¹⁶	ζ⁷+ζ¹⁰	ζ⁴+ζ¹³	ζ²+ζ¹⁵	ζ⁸+ζ⁹	ζ³+ζ¹⁴	0	-2	−ζ⁶−ζ¹¹	−ζ⁵−ζ¹²	−ζ−ζ¹⁶	−ζ⁷−ζ¹⁰	−ζ⁴−ζ¹³	−ζ²−ζ¹⁵	−ζ⁸−ζ⁹	−ζ³−ζ¹⁴	0
χ₁₉	2	ζ⁷+ζ¹⁰	ζ³+ζ¹⁴	ζ⁴+ζ¹³	ζ⁶+ζ¹¹	ζ+ζ¹⁶	ζ⁸+ζ⁹	ζ²+ζ¹⁵	ζ⁵+ζ¹²	0	2	ζ⁷+ζ¹⁰	ζ³+ζ¹⁴	ζ⁴+ζ¹³	ζ⁶+ζ¹¹	ζ+ζ¹⁶	ζ⁸+ζ⁹	ζ²+ζ¹⁵	ζ⁵+ζ¹²	0	-2	−ζ⁷−ζ¹⁰	−ζ³−ζ¹⁴	−ζ⁴−ζ¹³	−ζ⁶−ζ¹¹	−ζ−ζ¹⁶	−ζ⁸−ζ⁹	−ζ²−ζ¹⁵	−ζ⁵−ζ¹²	0
χ₂₀	2	ζ⁸+ζ⁹	ζ+ζ¹⁶	ζ⁷+ζ¹⁰	ζ²+ζ¹⁵	ζ⁶+ζ¹¹	ζ³+ζ¹⁴	ζ⁵+ζ¹²	ζ⁴+ζ¹³	0	2	ζ⁸+ζ⁹	ζ+ζ¹⁶	ζ⁷+ζ¹⁰	ζ²+ζ¹⁵	ζ⁶+ζ¹¹	ζ³+ζ¹⁴	ζ⁵+ζ¹²	ζ⁴+ζ¹³	0	-2	−ζ⁸−ζ⁹	−ζ−ζ¹⁶	−ζ⁷−ζ¹⁰	−ζ²−ζ¹⁵	−ζ⁶−ζ¹¹	−ζ³−ζ¹⁴	−ζ⁵−ζ¹²	−ζ⁴−ζ¹³	0
χ₂₁	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₂₂	2	2	2	2	2	2	2	2	2	-2	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	2ζ+2ζ¹⁶	2ζ²+2ζ¹⁵	2ζ³+2ζ¹⁴	2ζ⁴+2ζ¹³	2ζ⁵+2ζ¹²	2ζ⁶+2ζ¹¹	2ζ⁷+2ζ¹⁰	2ζ⁸+2ζ⁹	0	-2	−ζ−ζ¹⁶	−ζ²−ζ¹⁵	−ζ³−ζ¹⁴	−ζ⁴−ζ¹³	−ζ⁵−ζ¹²	−ζ⁶−ζ¹¹	−ζ⁷−ζ¹⁰	−ζ⁸−ζ⁹	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	2ζ²+2ζ¹⁵	2ζ⁴+2ζ¹³	2ζ⁶+2ζ¹¹	2ζ⁸+2ζ⁹	2ζ⁷+2ζ¹⁰	2ζ⁵+2ζ¹²	2ζ³+2ζ¹⁴	2ζ+2ζ¹⁶	0	-2	−ζ²−ζ¹⁵	−ζ⁴−ζ¹³	−ζ⁶−ζ¹¹	−ζ⁸−ζ⁹	−ζ⁷−ζ¹⁰	−ζ⁵−ζ¹²	−ζ³−ζ¹⁴	−ζ−ζ¹⁶	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	2ζ³+2ζ¹⁴	2ζ⁶+2ζ¹¹	2ζ⁸+2ζ⁹	2ζ⁵+2ζ¹²	2ζ²+2ζ¹⁵	2ζ+2ζ¹⁶	2ζ⁴+2ζ¹³	2ζ⁷+2ζ¹⁰	0	-2	−ζ³−ζ¹⁴	−ζ⁶−ζ¹¹	−ζ⁸−ζ⁹	−ζ⁵−ζ¹²	−ζ²−ζ¹⁵	−ζ−ζ¹⁶	−ζ⁴−ζ¹³	−ζ⁷−ζ¹⁰	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	2ζ⁴+2ζ¹³	2ζ⁸+2ζ⁹	2ζ⁵+2ζ¹²	2ζ+2ζ¹⁶	2ζ³+2ζ¹⁴	2ζ⁷+2ζ¹⁰	2ζ⁶+2ζ¹¹	2ζ²+2ζ¹⁵	0	-2	−ζ⁴−ζ¹³	−ζ⁸−ζ⁹	−ζ⁵−ζ¹²	−ζ−ζ¹⁶	−ζ³−ζ¹⁴	−ζ⁷−ζ¹⁰	−ζ⁶−ζ¹¹	−ζ²−ζ¹⁵	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	2ζ⁵+2ζ¹²	2ζ⁷+2ζ¹⁰	2ζ²+2ζ¹⁵	2ζ³+2ζ¹⁴	2ζ⁸+2ζ⁹	2ζ⁴+2ζ¹³	2ζ+2ζ¹⁶	2ζ⁶+2ζ¹¹	0	-2	−ζ⁵−ζ¹²	−ζ⁷−ζ¹⁰	−ζ²−ζ¹⁵	−ζ³−ζ¹⁴	−ζ⁸−ζ⁹	−ζ⁴−ζ¹³	−ζ−ζ¹⁶	−ζ⁶−ζ¹¹	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	2ζ⁶+2ζ¹¹	2ζ⁵+2ζ¹²	2ζ+2ζ¹⁶	2ζ⁷+2ζ¹⁰	2ζ⁴+2ζ¹³	2ζ²+2ζ¹⁵	2ζ⁸+2ζ⁹	2ζ³+2ζ¹⁴	0	-2	−ζ⁶−ζ¹¹	−ζ⁵−ζ¹²	−ζ−ζ¹⁶	−ζ⁷−ζ¹⁰	−ζ⁴−ζ¹³	−ζ²−ζ¹⁵	−ζ⁸−ζ⁹	−ζ³−ζ¹⁴	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	2ζ⁷+2ζ¹⁰	2ζ³+2ζ¹⁴	2ζ⁴+2ζ¹³	2ζ⁶+2ζ¹¹	2ζ+2ζ¹⁶	2ζ⁸+2ζ⁹	2ζ²+2ζ¹⁵	2ζ⁵+2ζ¹²	0	-2	−ζ⁷−ζ¹⁰	−ζ³−ζ¹⁴	−ζ⁴−ζ¹³	−ζ⁶−ζ¹¹	−ζ−ζ¹⁶	−ζ⁸−ζ⁹	−ζ²−ζ¹⁵	−ζ⁵−ζ¹²	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	2ζ⁸+2ζ⁹	2ζ+2ζ¹⁶	2ζ⁷+2ζ¹⁰	2ζ²+2ζ¹⁵	2ζ⁶+2ζ¹¹	2ζ³+2ζ¹⁴	2ζ⁵+2ζ¹²	2ζ⁴+2ζ¹³	0	-2	−ζ⁸−ζ⁹	−ζ−ζ¹⁶	−ζ⁷−ζ¹⁰	−ζ²−ζ¹⁵	−ζ⁶−ζ¹¹	−ζ³−ζ¹⁴	−ζ⁵−ζ¹²	−ζ⁴−ζ¹³	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #6078