Group #66749 — 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
size	1	3	6	6	6	6	7	21	28	28	28	28	1	3	6	6	6	6	7	21	28	28	28	28
order	1	2	7	14	14	14	2	2	3	3	6	6	2	2	14	14	14	14	2	2	6	6	6	6
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
χ₂	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₃	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
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
χ₅	1	1	1	1	1	1	-1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	-1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₆	1	1	1	1	1	1	-1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	-1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₇	3	-1	3	-1	-1	-1	3	-1	0	0	0	0	3	-1	3	-1	-1	-1	3	-1	0	0	0	0
χ₈	3	-1	3	-1	-1	-1	-3	1	0	0	0	0	3	-1	3	-1	-1	-1	-3	1	0	0	0	0
χ₉	6	6	-1	-1	-1	-1	0	0	0	0	0	0	6	6	-1	-1	-1	-1	0	0	0	0	0	0
χ₁₀	6	-2	-1	−ζ+ζ²+ζ⁴+ζ⁵−ζ⁸+ζ¹⁰+ζ¹¹−ζ¹³+ζ¹⁶+ζ¹⁷+ζ¹⁹−ζ²⁰	ζ+ζ²−ζ⁴+ζ⁵+ζ⁸−ζ¹⁰−ζ¹¹+ζ¹³+ζ¹⁶−ζ¹⁷+ζ¹⁹+ζ²⁰	ζ−ζ²+ζ⁴−ζ⁵+ζ⁸+ζ¹⁰+ζ¹¹+ζ¹³−ζ¹⁶+ζ¹⁷−ζ¹⁹+ζ²⁰	0	0	0	0	0	0	6	-2	-1	−ζ+ζ²+ζ⁴+ζ⁵−ζ⁸+ζ¹⁰+ζ¹¹−ζ¹³+ζ¹⁶+ζ¹⁷+ζ¹⁹−ζ²⁰	ζ+ζ²−ζ⁴+ζ⁵+ζ⁸−ζ¹⁰−ζ¹¹+ζ¹³+ζ¹⁶−ζ¹⁷+ζ¹⁹+ζ²⁰	ζ−ζ²+ζ⁴−ζ⁵+ζ⁸+ζ¹⁰+ζ¹¹+ζ¹³−ζ¹⁶+ζ¹⁷−ζ¹⁹+ζ²⁰	0	0	0	0	0	0
χ₁₁	6	-2	-1	ζ+ζ²−ζ⁴+ζ⁵+ζ⁸−ζ¹⁰−ζ¹¹+ζ¹³+ζ¹⁶−ζ¹⁷+ζ¹⁹+ζ²⁰	ζ−ζ²+ζ⁴−ζ⁵+ζ⁸+ζ¹⁰+ζ¹¹+ζ¹³−ζ¹⁶+ζ¹⁷−ζ¹⁹+ζ²⁰	−ζ+ζ²+ζ⁴+ζ⁵−ζ⁸+ζ¹⁰+ζ¹¹−ζ¹³+ζ¹⁶+ζ¹⁷+ζ¹⁹−ζ²⁰	0	0	0	0	0	0	6	-2	-1	ζ+ζ²−ζ⁴+ζ⁵+ζ⁸−ζ¹⁰−ζ¹¹+ζ¹³+ζ¹⁶−ζ¹⁷+ζ¹⁹+ζ²⁰	ζ−ζ²+ζ⁴−ζ⁵+ζ⁸+ζ¹⁰+ζ¹¹+ζ¹³−ζ¹⁶+ζ¹⁷−ζ¹⁹+ζ²⁰	−ζ+ζ²+ζ⁴+ζ⁵−ζ⁸+ζ¹⁰+ζ¹¹−ζ¹³+ζ¹⁶+ζ¹⁷+ζ¹⁹−ζ²⁰	0	0	0	0	0	0
χ₁₂	6	-2	-1	ζ−ζ²+ζ⁴−ζ⁵+ζ⁸+ζ¹⁰+ζ¹¹+ζ¹³−ζ¹⁶+ζ¹⁷−ζ¹⁹+ζ²⁰	−ζ+ζ²+ζ⁴+ζ⁵−ζ⁸+ζ¹⁰+ζ¹¹−ζ¹³+ζ¹⁶+ζ¹⁷+ζ¹⁹−ζ²⁰	ζ+ζ²−ζ⁴+ζ⁵+ζ⁸−ζ¹⁰−ζ¹¹+ζ¹³+ζ¹⁶−ζ¹⁷+ζ¹⁹+ζ²⁰	0	0	0	0	0	0	6	-2	-1	ζ−ζ²+ζ⁴−ζ⁵+ζ⁸+ζ¹⁰+ζ¹¹+ζ¹³−ζ¹⁶+ζ¹⁷−ζ¹⁹+ζ²⁰	−ζ+ζ²+ζ⁴+ζ⁵−ζ⁸+ζ¹⁰+ζ¹¹−ζ¹³+ζ¹⁶+ζ¹⁷+ζ¹⁹−ζ²⁰	ζ+ζ²−ζ⁴+ζ⁵+ζ⁸−ζ¹⁰−ζ¹¹+ζ¹³+ζ¹⁶−ζ¹⁷+ζ¹⁹+ζ²⁰	0	0	0	0	0	0
χ₁₃	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₄	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₁₅	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
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
χ₁₇	1	1	1	1	1	1	-1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	1	1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₁₈	1	1	1	1	1	1	-1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	1	1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₁₉	3	-1	3	-1	-1	-1	3	-1	0	0	0	0	-3	1	-3	1	1	1	-3	1	0	0	0	0
χ₂₀	3	-1	3	-1	-1	-1	-3	1	0	0	0	0	-3	1	-3	1	1	1	3	-1	0	0	0	0
χ₂₁	6	6	-1	-1	-1	-1	0	0	0	0	0	0	-6	-6	1	1	1	1	0	0	0	0	0	0
χ₂₂	6	-2	-1	−ζ+ζ²+ζ⁴+ζ⁵−ζ⁸+ζ¹⁰+ζ¹¹−ζ¹³+ζ¹⁶+ζ¹⁷+ζ¹⁹−ζ²⁰	ζ+ζ²−ζ⁴+ζ⁵+ζ⁸−ζ¹⁰−ζ¹¹+ζ¹³+ζ¹⁶−ζ¹⁷+ζ¹⁹+ζ²⁰	ζ−ζ²+ζ⁴−ζ⁵+ζ⁸+ζ¹⁰+ζ¹¹+ζ¹³−ζ¹⁶+ζ¹⁷−ζ¹⁹+ζ²⁰	0	0	0	0	0	0	-6	2	1	ζ−ζ²−ζ⁴−ζ⁵+ζ⁸−ζ¹⁰−ζ¹¹+ζ¹³−ζ¹⁶−ζ¹⁷−ζ¹⁹+ζ²⁰	−ζ−ζ²+ζ⁴−ζ⁵−ζ⁸+ζ¹⁰+ζ¹¹−ζ¹³−ζ¹⁶+ζ¹⁷−ζ¹⁹−ζ²⁰	−ζ+ζ²−ζ⁴+ζ⁵−ζ⁸−ζ¹⁰−ζ¹¹−ζ¹³+ζ¹⁶−ζ¹⁷+ζ¹⁹−ζ²⁰	0	0	0	0	0	0
χ₂₃	6	-2	-1	ζ+ζ²−ζ⁴+ζ⁵+ζ⁸−ζ¹⁰−ζ¹¹+ζ¹³+ζ¹⁶−ζ¹⁷+ζ¹⁹+ζ²⁰	ζ−ζ²+ζ⁴−ζ⁵+ζ⁸+ζ¹⁰+ζ¹¹+ζ¹³−ζ¹⁶+ζ¹⁷−ζ¹⁹+ζ²⁰	−ζ+ζ²+ζ⁴+ζ⁵−ζ⁸+ζ¹⁰+ζ¹¹−ζ¹³+ζ¹⁶+ζ¹⁷+ζ¹⁹−ζ²⁰	0	0	0	0	0	0	-6	2	1	−ζ−ζ²+ζ⁴−ζ⁵−ζ⁸+ζ¹⁰+ζ¹¹−ζ¹³−ζ¹⁶+ζ¹⁷−ζ¹⁹−ζ²⁰	−ζ+ζ²−ζ⁴+ζ⁵−ζ⁸−ζ¹⁰−ζ¹¹−ζ¹³+ζ¹⁶−ζ¹⁷+ζ¹⁹−ζ²⁰	ζ−ζ²−ζ⁴−ζ⁵+ζ⁸−ζ¹⁰−ζ¹¹+ζ¹³−ζ¹⁶−ζ¹⁷−ζ¹⁹+ζ²⁰	0	0	0	0	0	0
χ₂₄	6	-2	-1	ζ−ζ²+ζ⁴−ζ⁵+ζ⁸+ζ¹⁰+ζ¹¹+ζ¹³−ζ¹⁶+ζ¹⁷−ζ¹⁹+ζ²⁰	−ζ+ζ²+ζ⁴+ζ⁵−ζ⁸+ζ¹⁰+ζ¹¹−ζ¹³+ζ¹⁶+ζ¹⁷+ζ¹⁹−ζ²⁰	ζ+ζ²−ζ⁴+ζ⁵+ζ⁸−ζ¹⁰−ζ¹¹+ζ¹³+ζ¹⁶−ζ¹⁷+ζ¹⁹+ζ²⁰	0	0	0	0	0	0	-6	2	1	−ζ+ζ²−ζ⁴+ζ⁵−ζ⁸−ζ¹⁰−ζ¹¹−ζ¹³+ζ¹⁶−ζ¹⁷+ζ¹⁹−ζ²⁰	ζ−ζ²−ζ⁴−ζ⁵+ζ⁸−ζ¹⁰−ζ¹¹+ζ¹³−ζ¹⁶−ζ¹⁷−ζ¹⁹+ζ²⁰	−ζ−ζ²+ζ⁴−ζ⁵−ζ⁸+ζ¹⁰+ζ¹¹−ζ¹³−ζ¹⁶+ζ¹⁷−ζ¹⁹−ζ²⁰	0	0	0	0	0	0

Character table — Group #66749