Group #766 — 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
size	1	1	2	2	2	2	2	2	2	2	2	2	11	11	1	1	2	2	2	2	2	2	2	2	2	2	11	11
order	1	2	11	11	11	11	11	22	22	22	22	22	4	4	2	2	22	22	22	22	22	22	22	22	22	22	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
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
χ₃	1	-1	1	1	1	1	1	-1	-1	-1	-1	-1	$i$	$- i$	1	-1	1	1	1	1	1	-1	-1	-1	-1	-1	$i$	$- i$
χ₄	1	-1	1	1	1	1	1	-1	-1	-1	-1	-1	$- i$	$i$	1	-1	1	1	1	1	1	-1	-1	-1	-1	-1	$- i$	$i$
χ₅	2	2	−ζ¹⁸−ζ²⁶	−ζ⁶−ζ³⁸	−ζ¹⁴−ζ³⁰	−ζ¹⁰−ζ³⁴	−ζ²−ζ⁴²	−ζ¹⁸−ζ²⁶	−ζ⁶−ζ³⁸	−ζ¹⁴−ζ³⁰	−ζ¹⁰−ζ³⁴	−ζ²−ζ⁴²	0	0	2	2	−ζ¹⁸−ζ²⁶	−ζ⁶−ζ³⁸	−ζ¹⁴−ζ³⁰	−ζ¹⁰−ζ³⁴	−ζ²−ζ⁴²	−ζ¹⁸−ζ²⁶	−ζ⁶−ζ³⁸	−ζ¹⁴−ζ³⁰	−ζ¹⁰−ζ³⁴	−ζ²−ζ⁴²	0	0
χ₆	2	2	−ζ⁶−ζ³⁸	−ζ²−ζ⁴²	−ζ¹⁰−ζ³⁴	−ζ¹⁸−ζ²⁶	−ζ¹⁴−ζ³⁰	−ζ⁶−ζ³⁸	−ζ²−ζ⁴²	−ζ¹⁰−ζ³⁴	−ζ¹⁸−ζ²⁶	−ζ¹⁴−ζ³⁰	0	0	2	2	−ζ⁶−ζ³⁸	−ζ²−ζ⁴²	−ζ¹⁰−ζ³⁴	−ζ¹⁸−ζ²⁶	−ζ¹⁴−ζ³⁰	−ζ⁶−ζ³⁸	−ζ²−ζ⁴²	−ζ¹⁰−ζ³⁴	−ζ¹⁸−ζ²⁶	−ζ¹⁴−ζ³⁰	0	0
χ₇	2	2	−ζ¹⁴−ζ³⁰	−ζ¹⁰−ζ³⁴	−ζ⁶−ζ³⁸	−ζ²−ζ⁴²	−ζ¹⁸−ζ²⁶	−ζ¹⁴−ζ³⁰	−ζ¹⁰−ζ³⁴	−ζ⁶−ζ³⁸	−ζ²−ζ⁴²	−ζ¹⁸−ζ²⁶	0	0	2	2	−ζ¹⁴−ζ³⁰	−ζ¹⁰−ζ³⁴	−ζ⁶−ζ³⁸	−ζ²−ζ⁴²	−ζ¹⁸−ζ²⁶	−ζ¹⁴−ζ³⁰	−ζ¹⁰−ζ³⁴	−ζ⁶−ζ³⁸	−ζ²−ζ⁴²	−ζ¹⁸−ζ²⁶	0	0
χ₈	2	2	−ζ¹⁰−ζ³⁴	−ζ¹⁸−ζ²⁶	−ζ²−ζ⁴²	−ζ¹⁴−ζ³⁰	−ζ⁶−ζ³⁸	−ζ¹⁰−ζ³⁴	−ζ¹⁸−ζ²⁶	−ζ²−ζ⁴²	−ζ¹⁴−ζ³⁰	−ζ⁶−ζ³⁸	0	0	2	2	−ζ¹⁰−ζ³⁴	−ζ¹⁸−ζ²⁶	−ζ²−ζ⁴²	−ζ¹⁴−ζ³⁰	−ζ⁶−ζ³⁸	−ζ¹⁰−ζ³⁴	−ζ¹⁸−ζ²⁶	−ζ²−ζ⁴²	−ζ¹⁴−ζ³⁰	−ζ⁶−ζ³⁸	0	0
χ₉	2	2	−ζ²−ζ⁴²	−ζ¹⁴−ζ³⁰	−ζ¹⁸−ζ²⁶	−ζ⁶−ζ³⁸	−ζ¹⁰−ζ³⁴	−ζ²−ζ⁴²	−ζ¹⁴−ζ³⁰	−ζ¹⁸−ζ²⁶	−ζ⁶−ζ³⁸	−ζ¹⁰−ζ³⁴	0	0	2	2	−ζ²−ζ⁴²	−ζ¹⁴−ζ³⁰	−ζ¹⁸−ζ²⁶	−ζ⁶−ζ³⁸	−ζ¹⁰−ζ³⁴	−ζ²−ζ⁴²	−ζ¹⁴−ζ³⁰	−ζ¹⁸−ζ²⁶	−ζ⁶−ζ³⁸	−ζ¹⁰−ζ³⁴	0	0
χ₁₀	2	-2	−ζ¹⁸−ζ²⁶	−ζ⁶−ζ³⁸	−ζ¹⁴−ζ³⁰	−ζ¹⁰−ζ³⁴	−ζ²−ζ⁴²	ζ¹⁸+ζ²⁶	ζ⁶+ζ³⁸	ζ¹⁴+ζ³⁰	ζ¹⁰+ζ³⁴	ζ²+ζ⁴²	0	0	2	-2	−ζ¹⁸−ζ²⁶	−ζ⁶−ζ³⁸	−ζ¹⁴−ζ³⁰	−ζ¹⁰−ζ³⁴	−ζ²−ζ⁴²	ζ¹⁸+ζ²⁶	ζ⁶+ζ³⁸	ζ¹⁴+ζ³⁰	ζ¹⁰+ζ³⁴	ζ²+ζ⁴²	0	0
χ₁₁	2	-2	−ζ⁶−ζ³⁸	−ζ²−ζ⁴²	−ζ¹⁰−ζ³⁴	−ζ¹⁸−ζ²⁶	−ζ¹⁴−ζ³⁰	ζ⁶+ζ³⁸	ζ²+ζ⁴²	ζ¹⁰+ζ³⁴	ζ¹⁸+ζ²⁶	ζ¹⁴+ζ³⁰	0	0	2	-2	−ζ⁶−ζ³⁸	−ζ²−ζ⁴²	−ζ¹⁰−ζ³⁴	−ζ¹⁸−ζ²⁶	−ζ¹⁴−ζ³⁰	ζ⁶+ζ³⁸	ζ²+ζ⁴²	ζ¹⁰+ζ³⁴	ζ¹⁸+ζ²⁶	ζ¹⁴+ζ³⁰	0	0
χ₁₂	2	-2	−ζ¹⁴−ζ³⁰	−ζ¹⁰−ζ³⁴	−ζ⁶−ζ³⁸	−ζ²−ζ⁴²	−ζ¹⁸−ζ²⁶	ζ¹⁴+ζ³⁰	ζ¹⁰+ζ³⁴	ζ⁶+ζ³⁸	ζ²+ζ⁴²	ζ¹⁸+ζ²⁶	0	0	2	-2	−ζ¹⁴−ζ³⁰	−ζ¹⁰−ζ³⁴	−ζ⁶−ζ³⁸	−ζ²−ζ⁴²	−ζ¹⁸−ζ²⁶	ζ¹⁴+ζ³⁰	ζ¹⁰+ζ³⁴	ζ⁶+ζ³⁸	ζ²+ζ⁴²	ζ¹⁸+ζ²⁶	0	0
χ₁₃	2	-2	−ζ¹⁰−ζ³⁴	−ζ¹⁸−ζ²⁶	−ζ²−ζ⁴²	−ζ¹⁴−ζ³⁰	−ζ⁶−ζ³⁸	ζ¹⁰+ζ³⁴	ζ¹⁸+ζ²⁶	ζ²+ζ⁴²	ζ¹⁴+ζ³⁰	ζ⁶+ζ³⁸	0	0	2	-2	−ζ¹⁰−ζ³⁴	−ζ¹⁸−ζ²⁶	−ζ²−ζ⁴²	−ζ¹⁴−ζ³⁰	−ζ⁶−ζ³⁸	ζ¹⁰+ζ³⁴	ζ¹⁸+ζ²⁶	ζ²+ζ⁴²	ζ¹⁴+ζ³⁰	ζ⁶+ζ³⁸	0	0
χ₁₄	2	-2	−ζ²−ζ⁴²	−ζ¹⁴−ζ³⁰	−ζ¹⁸−ζ²⁶	−ζ⁶−ζ³⁸	−ζ¹⁰−ζ³⁴	ζ²+ζ⁴²	ζ¹⁴+ζ³⁰	ζ¹⁸+ζ²⁶	ζ⁶+ζ³⁸	ζ¹⁰+ζ³⁴	0	0	2	-2	−ζ²−ζ⁴²	−ζ¹⁴−ζ³⁰	−ζ¹⁸−ζ²⁶	−ζ⁶−ζ³⁸	−ζ¹⁰−ζ³⁴	ζ²+ζ⁴²	ζ¹⁴+ζ³⁰	ζ¹⁸+ζ²⁶	ζ⁶+ζ³⁸	ζ¹⁰+ζ³⁴	0	0
χ₁₅	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
χ₁₆	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
χ₁₇	1	-1	1	1	1	1	1	-1	-1	-1	-1	-1	$i$	$- i$	-1	1	-1	-1	-1	-1	-1	1	1	1	1	1	$- i$	$i$
χ₁₈	1	-1	1	1	1	1	1	-1	-1	-1	-1	-1	$- i$	$i$	-1	1	-1	-1	-1	-1	-1	1	1	1	1	1	$i$	$- i$
χ₁₉	2	2	−ζ¹⁸−ζ²⁶	−ζ⁶−ζ³⁸	−ζ¹⁴−ζ³⁰	−ζ¹⁰−ζ³⁴	−ζ²−ζ⁴²	−ζ¹⁸−ζ²⁶	−ζ⁶−ζ³⁸	−ζ¹⁴−ζ³⁰	−ζ¹⁰−ζ³⁴	−ζ²−ζ⁴²	0	0	-2	-2	ζ¹⁸+ζ²⁶	ζ⁶+ζ³⁸	ζ¹⁴+ζ³⁰	ζ¹⁰+ζ³⁴	ζ²+ζ⁴²	ζ¹⁸+ζ²⁶	ζ⁶+ζ³⁸	ζ¹⁴+ζ³⁰	ζ¹⁰+ζ³⁴	ζ²+ζ⁴²	0	0
χ₂₀	2	2	−ζ⁶−ζ³⁸	−ζ²−ζ⁴²	−ζ¹⁰−ζ³⁴	−ζ¹⁸−ζ²⁶	−ζ¹⁴−ζ³⁰	−ζ⁶−ζ³⁸	−ζ²−ζ⁴²	−ζ¹⁰−ζ³⁴	−ζ¹⁸−ζ²⁶	−ζ¹⁴−ζ³⁰	0	0	-2	-2	ζ⁶+ζ³⁸	ζ²+ζ⁴²	ζ¹⁰+ζ³⁴	ζ¹⁸+ζ²⁶	ζ¹⁴+ζ³⁰	ζ⁶+ζ³⁸	ζ²+ζ⁴²	ζ¹⁰+ζ³⁴	ζ¹⁸+ζ²⁶	ζ¹⁴+ζ³⁰	0	0
χ₂₁	2	2	−ζ¹⁴−ζ³⁰	−ζ¹⁰−ζ³⁴	−ζ⁶−ζ³⁸	−ζ²−ζ⁴²	−ζ¹⁸−ζ²⁶	−ζ¹⁴−ζ³⁰	−ζ¹⁰−ζ³⁴	−ζ⁶−ζ³⁸	−ζ²−ζ⁴²	−ζ¹⁸−ζ²⁶	0	0	-2	-2	ζ¹⁴+ζ³⁰	ζ¹⁰+ζ³⁴	ζ⁶+ζ³⁸	ζ²+ζ⁴²	ζ¹⁸+ζ²⁶	ζ¹⁴+ζ³⁰	ζ¹⁰+ζ³⁴	ζ⁶+ζ³⁸	ζ²+ζ⁴²	ζ¹⁸+ζ²⁶	0	0
χ₂₂	2	2	−ζ¹⁰−ζ³⁴	−ζ¹⁸−ζ²⁶	−ζ²−ζ⁴²	−ζ¹⁴−ζ³⁰	−ζ⁶−ζ³⁸	−ζ¹⁰−ζ³⁴	−ζ¹⁸−ζ²⁶	−ζ²−ζ⁴²	−ζ¹⁴−ζ³⁰	−ζ⁶−ζ³⁸	0	0	-2	-2	ζ¹⁰+ζ³⁴	ζ¹⁸+ζ²⁶	ζ²+ζ⁴²	ζ¹⁴+ζ³⁰	ζ⁶+ζ³⁸	ζ¹⁰+ζ³⁴	ζ¹⁸+ζ²⁶	ζ²+ζ⁴²	ζ¹⁴+ζ³⁰	ζ⁶+ζ³⁸	0	0
χ₂₃	2	2	−ζ²−ζ⁴²	−ζ¹⁴−ζ³⁰	−ζ¹⁸−ζ²⁶	−ζ⁶−ζ³⁸	−ζ¹⁰−ζ³⁴	−ζ²−ζ⁴²	−ζ¹⁴−ζ³⁰	−ζ¹⁸−ζ²⁶	−ζ⁶−ζ³⁸	−ζ¹⁰−ζ³⁴	0	0	-2	-2	ζ²+ζ⁴²	ζ¹⁴+ζ³⁰	ζ¹⁸+ζ²⁶	ζ⁶+ζ³⁸	ζ¹⁰+ζ³⁴	ζ²+ζ⁴²	ζ¹⁴+ζ³⁰	ζ¹⁸+ζ²⁶	ζ⁶+ζ³⁸	ζ¹⁰+ζ³⁴	0	0
χ₂₄	2	-2	−ζ¹⁸−ζ²⁶	−ζ⁶−ζ³⁸	−ζ¹⁴−ζ³⁰	−ζ¹⁰−ζ³⁴	−ζ²−ζ⁴²	ζ¹⁸+ζ²⁶	ζ⁶+ζ³⁸	ζ¹⁴+ζ³⁰	ζ¹⁰+ζ³⁴	ζ²+ζ⁴²	0	0	-2	2	ζ¹⁸+ζ²⁶	ζ⁶+ζ³⁸	ζ¹⁴+ζ³⁰	ζ¹⁰+ζ³⁴	ζ²+ζ⁴²	−ζ¹⁸−ζ²⁶	−ζ⁶−ζ³⁸	−ζ¹⁴−ζ³⁰	−ζ¹⁰−ζ³⁴	−ζ²−ζ⁴²	0	0
χ₂₅	2	-2	−ζ⁶−ζ³⁸	−ζ²−ζ⁴²	−ζ¹⁰−ζ³⁴	−ζ¹⁸−ζ²⁶	−ζ¹⁴−ζ³⁰	ζ⁶+ζ³⁸	ζ²+ζ⁴²	ζ¹⁰+ζ³⁴	ζ¹⁸+ζ²⁶	ζ¹⁴+ζ³⁰	0	0	-2	2	ζ⁶+ζ³⁸	ζ²+ζ⁴²	ζ¹⁰+ζ³⁴	ζ¹⁸+ζ²⁶	ζ¹⁴+ζ³⁰	−ζ⁶−ζ³⁸	−ζ²−ζ⁴²	−ζ¹⁰−ζ³⁴	−ζ¹⁸−ζ²⁶	−ζ¹⁴−ζ³⁰	0	0
χ₂₆	2	-2	−ζ¹⁴−ζ³⁰	−ζ¹⁰−ζ³⁴	−ζ⁶−ζ³⁸	−ζ²−ζ⁴²	−ζ¹⁸−ζ²⁶	ζ¹⁴+ζ³⁰	ζ¹⁰+ζ³⁴	ζ⁶+ζ³⁸	ζ²+ζ⁴²	ζ¹⁸+ζ²⁶	0	0	-2	2	ζ¹⁴+ζ³⁰	ζ¹⁰+ζ³⁴	ζ⁶+ζ³⁸	ζ²+ζ⁴²	ζ¹⁸+ζ²⁶	−ζ¹⁴−ζ³⁰	−ζ¹⁰−ζ³⁴	−ζ⁶−ζ³⁸	−ζ²−ζ⁴²	−ζ¹⁸−ζ²⁶	0	0
χ₂₇	2	-2	−ζ¹⁰−ζ³⁴	−ζ¹⁸−ζ²⁶	−ζ²−ζ⁴²	−ζ¹⁴−ζ³⁰	−ζ⁶−ζ³⁸	ζ¹⁰+ζ³⁴	ζ¹⁸+ζ²⁶	ζ²+ζ⁴²	ζ¹⁴+ζ³⁰	ζ⁶+ζ³⁸	0	0	-2	2	ζ¹⁰+ζ³⁴	ζ¹⁸+ζ²⁶	ζ²+ζ⁴²	ζ¹⁴+ζ³⁰	ζ⁶+ζ³⁸	−ζ¹⁰−ζ³⁴	−ζ¹⁸−ζ²⁶	−ζ²−ζ⁴²	−ζ¹⁴−ζ³⁰	−ζ⁶−ζ³⁸	0	0
χ₂₈	2	-2	−ζ²−ζ⁴²	−ζ¹⁴−ζ³⁰	−ζ¹⁸−ζ²⁶	−ζ⁶−ζ³⁸	−ζ¹⁰−ζ³⁴	ζ²+ζ⁴²	ζ¹⁴+ζ³⁰	ζ¹⁸+ζ²⁶	ζ⁶+ζ³⁸	ζ¹⁰+ζ³⁴	0	0	-2	2	ζ²+ζ⁴²	ζ¹⁴+ζ³⁰	ζ¹⁸+ζ²⁶	ζ⁶+ζ³⁸	ζ¹⁰+ζ³⁴	−ζ²−ζ⁴²	−ζ¹⁴−ζ³⁰	−ζ¹⁸−ζ²⁶	−ζ⁶−ζ³⁸	−ζ¹⁰−ζ³⁴	0	0

Character table — Group #766