Group #67365 — character table

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉
size	1	2	6	6	6	6	6	6	6	6	6	6	21	21	42	42	63	63	63
order	1	3	7	9	21	21	63	63	63	63	63	63	3	3	9	9	2	6	6
χ₁	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
χ₃	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₄	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₅	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₆	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₇	2	2	2	-1	2	2	-1	-1	-1	-1	-1	-1	2	2	-1	-1	0	0	0
χ₈	2	2	2	-1	2	2	-1	-1	-1	-1	-1	-1	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0
χ₉	2	2	2	-1	2	2	-1	-1	-1	-1	-1	-1	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0
χ₁₀	6	6	-1	6	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0
χ₁₁	6	6	-1	-3	-1	-1	$\frac{1 - \sqrt{21}}{2}$	$\frac{1 - \sqrt{21}}{2}$	$\frac{1 - \sqrt{21}}{2}$	$\frac{1 + \sqrt{21}}{2}$	$\frac{1 + \sqrt{21}}{2}$	$\frac{1 + \sqrt{21}}{2}$	0	0	0	0	0	0	0
χ₁₂	6	6	-1	-3	-1	-1	$\frac{1 + \sqrt{21}}{2}$	$\frac{1 + \sqrt{21}}{2}$	$\frac{1 + \sqrt{21}}{2}$	$\frac{1 - \sqrt{21}}{2}$	$\frac{1 - \sqrt{21}}{2}$	$\frac{1 - \sqrt{21}}{2}$	0	0	0	0	0	0	0
χ₁₃	6	-3	6	0	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₄	6	-3	-1	0	$\frac{1 - \sqrt{21}}{2}$	$\frac{1 + \sqrt{21}}{2}$	ζ¹³−ζ³²−ζ⁴⁰+ζ⁴⁴+ζ⁵⁰+ζ⁵²−ζ⁵³−ζ⁶¹	ζ⁸−ζ¹³−ζ²³+ζ³¹+ζ³²−ζ³⁴−ζ⁴⁴+ζ⁶¹	−ζ⁸+ζ²³−ζ³¹+ζ³⁴+ζ⁴⁰−ζ⁵⁰−ζ⁵²+ζ⁵³	−ζ⁴+ζ⁵+ζ¹⁷−ζ²⁵−ζ⁴¹+ζ⁴³+ζ⁵⁸−ζ⁶²	ζ⁴−ζ⁵+ζ¹⁶−ζ²²−ζ²⁶−ζ⁴³+ζ⁵⁹+ζ⁶²	−ζ¹⁶−ζ¹⁷+ζ²²+ζ²⁵+ζ²⁶+ζ⁴¹−ζ⁵⁸−ζ⁵⁹	0	0	0	0	0	0	0
χ₁₅	6	-3	-1	0	$\frac{1 - \sqrt{21}}{2}$	$\frac{1 + \sqrt{21}}{2}$	ζ⁸−ζ¹³−ζ²³+ζ³¹+ζ³²−ζ³⁴−ζ⁴⁴+ζ⁶¹	−ζ⁸+ζ²³−ζ³¹+ζ³⁴+ζ⁴⁰−ζ⁵⁰−ζ⁵²+ζ⁵³	ζ¹³−ζ³²−ζ⁴⁰+ζ⁴⁴+ζ⁵⁰+ζ⁵²−ζ⁵³−ζ⁶¹	−ζ¹⁶−ζ¹⁷+ζ²²+ζ²⁵+ζ²⁶+ζ⁴¹−ζ⁵⁸−ζ⁵⁹	−ζ⁴+ζ⁵+ζ¹⁷−ζ²⁵−ζ⁴¹+ζ⁴³+ζ⁵⁸−ζ⁶²	ζ⁴−ζ⁵+ζ¹⁶−ζ²²−ζ²⁶−ζ⁴³+ζ⁵⁹+ζ⁶²	0	0	0	0	0	0	0
χ₁₆	6	-3	-1	0	$\frac{1 - \sqrt{21}}{2}$	$\frac{1 + \sqrt{21}}{2}$	−ζ⁸+ζ²³−ζ³¹+ζ³⁴+ζ⁴⁰−ζ⁵⁰−ζ⁵²+ζ⁵³	ζ¹³−ζ³²−ζ⁴⁰+ζ⁴⁴+ζ⁵⁰+ζ⁵²−ζ⁵³−ζ⁶¹	ζ⁸−ζ¹³−ζ²³+ζ³¹+ζ³²−ζ³⁴−ζ⁴⁴+ζ⁶¹	ζ⁴−ζ⁵+ζ¹⁶−ζ²²−ζ²⁶−ζ⁴³+ζ⁵⁹+ζ⁶²	−ζ¹⁶−ζ¹⁷+ζ²²+ζ²⁵+ζ²⁶+ζ⁴¹−ζ⁵⁸−ζ⁵⁹	−ζ⁴+ζ⁵+ζ¹⁷−ζ²⁵−ζ⁴¹+ζ⁴³+ζ⁵⁸−ζ⁶²	0	0	0	0	0	0	0
χ₁₇	6	-3	-1	0	$\frac{1 + \sqrt{21}}{2}$	$\frac{1 - \sqrt{21}}{2}$	−ζ⁴+ζ⁵+ζ¹⁷−ζ²⁵−ζ⁴¹+ζ⁴³+ζ⁵⁸−ζ⁶²	−ζ¹⁶−ζ¹⁷+ζ²²+ζ²⁵+ζ²⁶+ζ⁴¹−ζ⁵⁸−ζ⁵⁹	ζ⁴−ζ⁵+ζ¹⁶−ζ²²−ζ²⁶−ζ⁴³+ζ⁵⁹+ζ⁶²	ζ⁸−ζ¹³−ζ²³+ζ³¹+ζ³²−ζ³⁴−ζ⁴⁴+ζ⁶¹	ζ¹³−ζ³²−ζ⁴⁰+ζ⁴⁴+ζ⁵⁰+ζ⁵²−ζ⁵³−ζ⁶¹	−ζ⁸+ζ²³−ζ³¹+ζ³⁴+ζ⁴⁰−ζ⁵⁰−ζ⁵²+ζ⁵³	0	0	0	0	0	0	0
χ₁₈	6	-3	-1	0	$\frac{1 + \sqrt{21}}{2}$	$\frac{1 - \sqrt{21}}{2}$	ζ⁴−ζ⁵+ζ¹⁶−ζ²²−ζ²⁶−ζ⁴³+ζ⁵⁹+ζ⁶²	−ζ⁴+ζ⁵+ζ¹⁷−ζ²⁵−ζ⁴¹+ζ⁴³+ζ⁵⁸−ζ⁶²	−ζ¹⁶−ζ¹⁷+ζ²²+ζ²⁵+ζ²⁶+ζ⁴¹−ζ⁵⁸−ζ⁵⁹	ζ¹³−ζ³²−ζ⁴⁰+ζ⁴⁴+ζ⁵⁰+ζ⁵²−ζ⁵³−ζ⁶¹	−ζ⁸+ζ²³−ζ³¹+ζ³⁴+ζ⁴⁰−ζ⁵⁰−ζ⁵²+ζ⁵³	ζ⁸−ζ¹³−ζ²³+ζ³¹+ζ³²−ζ³⁴−ζ⁴⁴+ζ⁶¹	0	0	0	0	0	0	0
χ₁₉	6	-3	-1	0	$\frac{1 + \sqrt{21}}{2}$	$\frac{1 - \sqrt{21}}{2}$	−ζ¹⁶−ζ¹⁷+ζ²²+ζ²⁵+ζ²⁶+ζ⁴¹−ζ⁵⁸−ζ⁵⁹	ζ⁴−ζ⁵+ζ¹⁶−ζ²²−ζ²⁶−ζ⁴³+ζ⁵⁹+ζ⁶²	−ζ⁴+ζ⁵+ζ¹⁷−ζ²⁵−ζ⁴¹+ζ⁴³+ζ⁵⁸−ζ⁶²	−ζ⁸+ζ²³−ζ³¹+ζ³⁴+ζ⁴⁰−ζ⁵⁰−ζ⁵²+ζ⁵³	ζ⁸−ζ¹³−ζ²³+ζ³¹+ζ³²−ζ³⁴−ζ⁴⁴+ζ⁶¹	ζ¹³−ζ³²−ζ⁴⁰+ζ⁴⁴+ζ⁵⁰+ζ⁵²−ζ⁵³−ζ⁶¹	0	0	0	0	0	0	0

Character table — Group #67365