Group #767 — 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	1	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	22	22
order	1	2	2	11	11	11	11	11	22	22	22	22	22	22	22	22	22	22	22	22	22	22	22	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	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
χ₅	2	2	2	ζ+ζ¹⁰	ζ²+ζ⁹	ζ³+ζ⁸	ζ⁴+ζ⁷	ζ⁵+ζ⁶	ζ+ζ¹⁰	ζ²+ζ⁹	ζ³+ζ⁸	ζ⁴+ζ⁷	ζ⁵+ζ⁶	ζ+ζ¹⁰	ζ+ζ¹⁰	ζ²+ζ⁹	ζ²+ζ⁹	ζ³+ζ⁸	ζ³+ζ⁸	ζ⁴+ζ⁷	ζ⁴+ζ⁷	ζ⁵+ζ⁶	ζ⁵+ζ⁶	0	0
χ₆	2	2	2	ζ²+ζ⁹	ζ⁴+ζ⁷	ζ⁵+ζ⁶	ζ³+ζ⁸	ζ+ζ¹⁰	ζ²+ζ⁹	ζ⁴+ζ⁷	ζ⁵+ζ⁶	ζ³+ζ⁸	ζ+ζ¹⁰	ζ²+ζ⁹	ζ²+ζ⁹	ζ⁴+ζ⁷	ζ⁴+ζ⁷	ζ⁵+ζ⁶	ζ⁵+ζ⁶	ζ³+ζ⁸	ζ³+ζ⁸	ζ+ζ¹⁰	ζ+ζ¹⁰	0	0
χ₇	2	2	2	ζ³+ζ⁸	ζ⁵+ζ⁶	ζ²+ζ⁹	ζ+ζ¹⁰	ζ⁴+ζ⁷	ζ³+ζ⁸	ζ⁵+ζ⁶	ζ²+ζ⁹	ζ+ζ¹⁰	ζ⁴+ζ⁷	ζ³+ζ⁸	ζ³+ζ⁸	ζ⁵+ζ⁶	ζ⁵+ζ⁶	ζ²+ζ⁹	ζ²+ζ⁹	ζ+ζ¹⁰	ζ+ζ¹⁰	ζ⁴+ζ⁷	ζ⁴+ζ⁷	0	0
χ₈	2	2	2	ζ⁴+ζ⁷	ζ³+ζ⁸	ζ+ζ¹⁰	ζ⁵+ζ⁶	ζ²+ζ⁹	ζ⁴+ζ⁷	ζ³+ζ⁸	ζ+ζ¹⁰	ζ⁵+ζ⁶	ζ²+ζ⁹	ζ⁴+ζ⁷	ζ⁴+ζ⁷	ζ³+ζ⁸	ζ³+ζ⁸	ζ+ζ¹⁰	ζ+ζ¹⁰	ζ⁵+ζ⁶	ζ⁵+ζ⁶	ζ²+ζ⁹	ζ²+ζ⁹	0	0
χ₉	2	2	2	ζ⁵+ζ⁶	ζ+ζ¹⁰	ζ⁴+ζ⁷	ζ²+ζ⁹	ζ³+ζ⁸	ζ⁵+ζ⁶	ζ+ζ¹⁰	ζ⁴+ζ⁷	ζ²+ζ⁹	ζ³+ζ⁸	ζ⁵+ζ⁶	ζ⁵+ζ⁶	ζ+ζ¹⁰	ζ+ζ¹⁰	ζ⁴+ζ⁷	ζ⁴+ζ⁷	ζ²+ζ⁹	ζ²+ζ⁹	ζ³+ζ⁸	ζ³+ζ⁸	0	0
χ₁₀	2	2	-2	ζ+ζ¹⁰	ζ²+ζ⁹	ζ³+ζ⁸	ζ⁴+ζ⁷	ζ⁵+ζ⁶	ζ+ζ¹⁰	ζ²+ζ⁹	ζ³+ζ⁸	ζ⁴+ζ⁷	ζ⁵+ζ⁶	−ζ−ζ¹⁰	−ζ−ζ¹⁰	−ζ²−ζ⁹	−ζ²−ζ⁹	−ζ³−ζ⁸	−ζ³−ζ⁸	−ζ⁴−ζ⁷	−ζ⁴−ζ⁷	−ζ⁵−ζ⁶	−ζ⁵−ζ⁶	0	0
χ₁₁	2	2	-2	ζ²+ζ⁹	ζ⁴+ζ⁷	ζ⁵+ζ⁶	ζ³+ζ⁸	ζ+ζ¹⁰	ζ²+ζ⁹	ζ⁴+ζ⁷	ζ⁵+ζ⁶	ζ³+ζ⁸	ζ+ζ¹⁰	−ζ²−ζ⁹	−ζ²−ζ⁹	−ζ⁴−ζ⁷	−ζ⁴−ζ⁷	−ζ⁵−ζ⁶	−ζ⁵−ζ⁶	−ζ³−ζ⁸	−ζ³−ζ⁸	−ζ−ζ¹⁰	−ζ−ζ¹⁰	0	0
χ₁₂	2	2	-2	ζ³+ζ⁸	ζ⁵+ζ⁶	ζ²+ζ⁹	ζ+ζ¹⁰	ζ⁴+ζ⁷	ζ³+ζ⁸	ζ⁵+ζ⁶	ζ²+ζ⁹	ζ+ζ¹⁰	ζ⁴+ζ⁷	−ζ³−ζ⁸	−ζ³−ζ⁸	−ζ⁵−ζ⁶	−ζ⁵−ζ⁶	−ζ²−ζ⁹	−ζ²−ζ⁹	−ζ−ζ¹⁰	−ζ−ζ¹⁰	−ζ⁴−ζ⁷	−ζ⁴−ζ⁷	0	0
χ₁₃	2	2	-2	ζ⁴+ζ⁷	ζ³+ζ⁸	ζ+ζ¹⁰	ζ⁵+ζ⁶	ζ²+ζ⁹	ζ⁴+ζ⁷	ζ³+ζ⁸	ζ+ζ¹⁰	ζ⁵+ζ⁶	ζ²+ζ⁹	−ζ⁴−ζ⁷	−ζ⁴−ζ⁷	−ζ³−ζ⁸	−ζ³−ζ⁸	−ζ−ζ¹⁰	−ζ−ζ¹⁰	−ζ⁵−ζ⁶	−ζ⁵−ζ⁶	−ζ²−ζ⁹	−ζ²−ζ⁹	0	0
χ₁₄	2	2	-2	ζ⁵+ζ⁶	ζ+ζ¹⁰	ζ⁴+ζ⁷	ζ²+ζ⁹	ζ³+ζ⁸	ζ⁵+ζ⁶	ζ+ζ¹⁰	ζ⁴+ζ⁷	ζ²+ζ⁹	ζ³+ζ⁸	−ζ⁵−ζ⁶	−ζ⁵−ζ⁶	−ζ−ζ¹⁰	−ζ−ζ¹⁰	−ζ⁴−ζ⁷	−ζ⁴−ζ⁷	−ζ²−ζ⁹	−ζ²−ζ⁹	−ζ³−ζ⁸	−ζ³−ζ⁸	0	0
χ₁₅	2	-2	0	2	2	2	2	2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₆	2	-2	0	ζ+ζ¹⁰	ζ²+ζ⁹	ζ³+ζ⁸	ζ⁴+ζ⁷	ζ⁵+ζ⁶	−ζ−ζ¹⁰	−ζ²−ζ⁹	−ζ³−ζ⁸	−ζ⁴−ζ⁷	−ζ⁵−ζ⁶	ζ−ζ¹⁰	−ζ+ζ¹⁰	ζ²−ζ⁹	−ζ²+ζ⁹	ζ³−ζ⁸	−ζ³+ζ⁸	ζ⁴−ζ⁷	−ζ⁴+ζ⁷	ζ⁵−ζ⁶	−ζ⁵+ζ⁶	0	0
χ₁₇	2	-2	0	ζ+ζ¹⁰	ζ²+ζ⁹	ζ³+ζ⁸	ζ⁴+ζ⁷	ζ⁵+ζ⁶	−ζ−ζ¹⁰	−ζ²−ζ⁹	−ζ³−ζ⁸	−ζ⁴−ζ⁷	−ζ⁵−ζ⁶	−ζ+ζ¹⁰	ζ−ζ¹⁰	−ζ²+ζ⁹	ζ²−ζ⁹	−ζ³+ζ⁸	ζ³−ζ⁸	−ζ⁴+ζ⁷	ζ⁴−ζ⁷	−ζ⁵+ζ⁶	ζ⁵−ζ⁶	0	0
χ₁₈	2	-2	0	ζ²+ζ⁹	ζ⁴+ζ⁷	ζ⁵+ζ⁶	ζ³+ζ⁸	ζ+ζ¹⁰	−ζ²−ζ⁹	−ζ⁴−ζ⁷	−ζ⁵−ζ⁶	−ζ³−ζ⁸	−ζ−ζ¹⁰	ζ²−ζ⁹	−ζ²+ζ⁹	ζ⁴−ζ⁷	−ζ⁴+ζ⁷	−ζ⁵+ζ⁶	ζ⁵−ζ⁶	−ζ³+ζ⁸	ζ³−ζ⁸	−ζ+ζ¹⁰	ζ−ζ¹⁰	0	0
χ₁₉	2	-2	0	ζ²+ζ⁹	ζ⁴+ζ⁷	ζ⁵+ζ⁶	ζ³+ζ⁸	ζ+ζ¹⁰	−ζ²−ζ⁹	−ζ⁴−ζ⁷	−ζ⁵−ζ⁶	−ζ³−ζ⁸	−ζ−ζ¹⁰	−ζ²+ζ⁹	ζ²−ζ⁹	−ζ⁴+ζ⁷	ζ⁴−ζ⁷	ζ⁵−ζ⁶	−ζ⁵+ζ⁶	ζ³−ζ⁸	−ζ³+ζ⁸	ζ−ζ¹⁰	−ζ+ζ¹⁰	0	0
χ₂₀	2	-2	0	ζ³+ζ⁸	ζ⁵+ζ⁶	ζ²+ζ⁹	ζ+ζ¹⁰	ζ⁴+ζ⁷	−ζ³−ζ⁸	−ζ⁵−ζ⁶	−ζ²−ζ⁹	−ζ−ζ¹⁰	−ζ⁴−ζ⁷	ζ³−ζ⁸	−ζ³+ζ⁸	−ζ⁵+ζ⁶	ζ⁵−ζ⁶	−ζ²+ζ⁹	ζ²−ζ⁹	ζ−ζ¹⁰	−ζ+ζ¹⁰	ζ⁴−ζ⁷	−ζ⁴+ζ⁷	0	0
χ₂₁	2	-2	0	ζ³+ζ⁸	ζ⁵+ζ⁶	ζ²+ζ⁹	ζ+ζ¹⁰	ζ⁴+ζ⁷	−ζ³−ζ⁸	−ζ⁵−ζ⁶	−ζ²−ζ⁹	−ζ−ζ¹⁰	−ζ⁴−ζ⁷	−ζ³+ζ⁸	ζ³−ζ⁸	ζ⁵−ζ⁶	−ζ⁵+ζ⁶	ζ²−ζ⁹	−ζ²+ζ⁹	−ζ+ζ¹⁰	ζ−ζ¹⁰	−ζ⁴+ζ⁷	ζ⁴−ζ⁷	0	0
χ₂₂	2	-2	0	ζ⁴+ζ⁷	ζ³+ζ⁸	ζ+ζ¹⁰	ζ⁵+ζ⁶	ζ²+ζ⁹	−ζ⁴−ζ⁷	−ζ³−ζ⁸	−ζ−ζ¹⁰	−ζ⁵−ζ⁶	−ζ²−ζ⁹	ζ⁴−ζ⁷	−ζ⁴+ζ⁷	−ζ³+ζ⁸	ζ³−ζ⁸	ζ−ζ¹⁰	−ζ+ζ¹⁰	ζ⁵−ζ⁶	−ζ⁵+ζ⁶	−ζ²+ζ⁹	ζ²−ζ⁹	0	0
χ₂₃	2	-2	0	ζ⁴+ζ⁷	ζ³+ζ⁸	ζ+ζ¹⁰	ζ⁵+ζ⁶	ζ²+ζ⁹	−ζ⁴−ζ⁷	−ζ³−ζ⁸	−ζ−ζ¹⁰	−ζ⁵−ζ⁶	−ζ²−ζ⁹	−ζ⁴+ζ⁷	ζ⁴−ζ⁷	ζ³−ζ⁸	−ζ³+ζ⁸	−ζ+ζ¹⁰	ζ−ζ¹⁰	−ζ⁵+ζ⁶	ζ⁵−ζ⁶	ζ²−ζ⁹	−ζ²+ζ⁹	0	0
χ₂₄	2	-2	0	ζ⁵+ζ⁶	ζ+ζ¹⁰	ζ⁴+ζ⁷	ζ²+ζ⁹	ζ³+ζ⁸	−ζ⁵−ζ⁶	−ζ−ζ¹⁰	−ζ⁴−ζ⁷	−ζ²−ζ⁹	−ζ³−ζ⁸	ζ⁵−ζ⁶	−ζ⁵+ζ⁶	−ζ+ζ¹⁰	ζ−ζ¹⁰	ζ⁴−ζ⁷	−ζ⁴+ζ⁷	−ζ²+ζ⁹	ζ²−ζ⁹	ζ³−ζ⁸	−ζ³+ζ⁸	0	0
χ₂₅	2	-2	0	ζ⁵+ζ⁶	ζ+ζ¹⁰	ζ⁴+ζ⁷	ζ²+ζ⁹	ζ³+ζ⁸	−ζ⁵−ζ⁶	−ζ−ζ¹⁰	−ζ⁴−ζ⁷	−ζ²−ζ⁹	−ζ³−ζ⁸	−ζ⁵+ζ⁶	ζ⁵−ζ⁶	ζ−ζ¹⁰	−ζ+ζ¹⁰	−ζ⁴+ζ⁷	ζ⁴−ζ⁷	ζ²−ζ⁹	−ζ²+ζ⁹	−ζ³+ζ⁸	ζ³−ζ⁸	0	0

Character table — Group #767