Group #64422 — character table

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇
size	1	3	3	6	6	6	6	6	6	6	7	21	21	49	49	49	49
order	1	7	7	7	7	7	7	7	7	7	2	14	14	3	3	6	6
χ₁	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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₃	1	1	1	1	1	1	1	1	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
χ₅	1	1	1	1	1	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	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	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	3	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	3	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	0	0	0	0
χ₈	3	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	3	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	-3	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	0	0	0	0
χ₉	3	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	3	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	3	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	0	0	0	0
χ₁₀	3	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	3	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	-3	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	0	0	0	0
χ₁₁	6	6	6	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0
χ₁₂	6	$- 1 - i \sqrt{7}$	$- 1 + i \sqrt{7}$	-1	−ζ+ζ²+ζ⁴+ζ⁵−ζ⁸−ζ¹⁰+ζ¹¹+ζ¹⁶−ζ¹⁷+ζ¹⁹	ζ+ζ²−ζ⁴−ζ⁵+ζ⁸−ζ¹¹+ζ¹³+ζ¹⁶−ζ¹⁹+ζ²⁰	ζ−ζ²+ζ⁴+ζ⁸+ζ¹⁰+ζ¹¹−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²⁰	ζ−ζ²+ζ⁵+ζ⁸−ζ¹⁰+ζ¹³−ζ¹⁶−ζ¹⁷+ζ¹⁹+ζ²⁰	ζ²−ζ⁴+ζ⁵+ζ¹⁰−ζ¹¹−ζ¹³+ζ¹⁶+ζ¹⁷+ζ¹⁹−ζ²⁰	−ζ+ζ⁴−ζ⁵−ζ⁸+ζ¹⁰+ζ¹¹+ζ¹³+ζ¹⁷−ζ¹⁹+ζ²⁰	0	0	0	0	0	0	0
χ₁₃	6	$- 1 - i \sqrt{7}$	$- 1 + i \sqrt{7}$	-1	ζ+ζ²−ζ⁴−ζ⁵+ζ⁸−ζ¹¹+ζ¹³+ζ¹⁶−ζ¹⁹+ζ²⁰	ζ−ζ²+ζ⁴+ζ⁸+ζ¹⁰+ζ¹¹−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²⁰	−ζ+ζ²+ζ⁴+ζ⁵−ζ⁸−ζ¹⁰+ζ¹¹+ζ¹⁶−ζ¹⁷+ζ¹⁹	−ζ+ζ⁴−ζ⁵−ζ⁸+ζ¹⁰+ζ¹¹+ζ¹³+ζ¹⁷−ζ¹⁹+ζ²⁰	ζ−ζ²+ζ⁵+ζ⁸−ζ¹⁰+ζ¹³−ζ¹⁶−ζ¹⁷+ζ¹⁹+ζ²⁰	ζ²−ζ⁴+ζ⁵+ζ¹⁰−ζ¹¹−ζ¹³+ζ¹⁶+ζ¹⁷+ζ¹⁹−ζ²⁰	0	0	0	0	0	0	0
χ₁₄	6	$- 1 - i \sqrt{7}$	$- 1 + i \sqrt{7}$	-1	ζ−ζ²+ζ⁴+ζ⁸+ζ¹⁰+ζ¹¹−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²⁰	−ζ+ζ²+ζ⁴+ζ⁵−ζ⁸−ζ¹⁰+ζ¹¹+ζ¹⁶−ζ¹⁷+ζ¹⁹	ζ+ζ²−ζ⁴−ζ⁵+ζ⁸−ζ¹¹+ζ¹³+ζ¹⁶−ζ¹⁹+ζ²⁰	ζ²−ζ⁴+ζ⁵+ζ¹⁰−ζ¹¹−ζ¹³+ζ¹⁶+ζ¹⁷+ζ¹⁹−ζ²⁰	−ζ+ζ⁴−ζ⁵−ζ⁸+ζ¹⁰+ζ¹¹+ζ¹³+ζ¹⁷−ζ¹⁹+ζ²⁰	ζ−ζ²+ζ⁵+ζ⁸−ζ¹⁰+ζ¹³−ζ¹⁶−ζ¹⁷+ζ¹⁹+ζ²⁰	0	0	0	0	0	0	0
χ₁₅	6	$- 1 + i \sqrt{7}$	$- 1 - i \sqrt{7}$	-1	ζ−ζ²+ζ⁵+ζ⁸−ζ¹⁰+ζ¹³−ζ¹⁶−ζ¹⁷+ζ¹⁹+ζ²⁰	−ζ+ζ⁴−ζ⁵−ζ⁸+ζ¹⁰+ζ¹¹+ζ¹³+ζ¹⁷−ζ¹⁹+ζ²⁰	ζ²−ζ⁴+ζ⁵+ζ¹⁰−ζ¹¹−ζ¹³+ζ¹⁶+ζ¹⁷+ζ¹⁹−ζ²⁰	ζ−ζ²+ζ⁴+ζ⁸+ζ¹⁰+ζ¹¹−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²⁰	ζ+ζ²−ζ⁴−ζ⁵+ζ⁸−ζ¹¹+ζ¹³+ζ¹⁶−ζ¹⁹+ζ²⁰	−ζ+ζ²+ζ⁴+ζ⁵−ζ⁸−ζ¹⁰+ζ¹¹+ζ¹⁶−ζ¹⁷+ζ¹⁹	0	0	0	0	0	0	0
χ₁₆	6	$- 1 + i \sqrt{7}$	$- 1 - i \sqrt{7}$	-1	ζ²−ζ⁴+ζ⁵+ζ¹⁰−ζ¹¹−ζ¹³+ζ¹⁶+ζ¹⁷+ζ¹⁹−ζ²⁰	ζ−ζ²+ζ⁵+ζ⁸−ζ¹⁰+ζ¹³−ζ¹⁶−ζ¹⁷+ζ¹⁹+ζ²⁰	−ζ+ζ⁴−ζ⁵−ζ⁸+ζ¹⁰+ζ¹¹+ζ¹³+ζ¹⁷−ζ¹⁹+ζ²⁰	ζ+ζ²−ζ⁴−ζ⁵+ζ⁸−ζ¹¹+ζ¹³+ζ¹⁶−ζ¹⁹+ζ²⁰	−ζ+ζ²+ζ⁴+ζ⁵−ζ⁸−ζ¹⁰+ζ¹¹+ζ¹⁶−ζ¹⁷+ζ¹⁹	ζ−ζ²+ζ⁴+ζ⁸+ζ¹⁰+ζ¹¹−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²⁰	0	0	0	0	0	0	0
χ₁₇	6	$- 1 + i \sqrt{7}$	$- 1 - i \sqrt{7}$	-1	−ζ+ζ⁴−ζ⁵−ζ⁸+ζ¹⁰+ζ¹¹+ζ¹³+ζ¹⁷−ζ¹⁹+ζ²⁰	ζ²−ζ⁴+ζ⁵+ζ¹⁰−ζ¹¹−ζ¹³+ζ¹⁶+ζ¹⁷+ζ¹⁹−ζ²⁰	ζ−ζ²+ζ⁵+ζ⁸−ζ¹⁰+ζ¹³−ζ¹⁶−ζ¹⁷+ζ¹⁹+ζ²⁰	−ζ+ζ²+ζ⁴+ζ⁵−ζ⁸−ζ¹⁰+ζ¹¹+ζ¹⁶−ζ¹⁷+ζ¹⁹	ζ−ζ²+ζ⁴+ζ⁸+ζ¹⁰+ζ¹¹−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²⁰	ζ+ζ²−ζ⁴−ζ⁵+ζ⁸−ζ¹¹+ζ¹³+ζ¹⁶−ζ¹⁹+ζ²⁰	0	0	0	0	0	0	0

Character table — Group #64422