Group #63165 — 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	2	2	2	2	2	11	3	6	6	6	6	6	33	4	8	8	8	8	8	44	4	8	8	8	8	8	44
order	1	11	11	11	11	11	2	2	22	22	22	22	22	2	3	33	33	33	33	33	6	3	33	33	33	33	33	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	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	2	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	0	2	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	0	2	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	0	2	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	0
χ₄	2	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	0	2	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	0	2	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	0	2	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	0
χ₅	2	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	0	2	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	0	2	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	0	2	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	0
χ₆	2	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	0	2	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	0	2	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	0	2	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	0
χ₇	2	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	0	2	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	0	2	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	0	2	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	0
χ₈	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₉	1	1	1	1	1	1	-1	1	1	1	1	1	1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₁₀	2	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	0	2	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	0	$- 1 + i \sqrt{3}$	ζ⁸+ζ¹⁴	ζ⁵+ζ¹⁷	ζ²+ζ²⁰	ζ²³+ζ³²	ζ²⁶+ζ²⁹	0	$- 1 - i \sqrt{3}$	ζ¹⁹+ζ²⁵	ζ¹⁶+ζ²⁸	ζ¹³+ζ³¹	ζ+ζ¹⁰	ζ⁴+ζ⁷	0
χ₁₁	2	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	0	2	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	0	$- 1 + i \sqrt{3}$	ζ⁵+ζ¹⁷	ζ²³+ζ³²	ζ²⁶+ζ²⁹	ζ²+ζ²⁰	ζ⁸+ζ¹⁴	0	$- 1 - i \sqrt{3}$	ζ¹⁶+ζ²⁸	ζ+ζ¹⁰	ζ⁴+ζ⁷	ζ¹³+ζ³¹	ζ¹⁹+ζ²⁵	0
χ₁₂	2	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	0	2	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	0	$- 1 + i \sqrt{3}$	ζ²+ζ²⁰	ζ²⁶+ζ²⁹	ζ⁵+ζ¹⁷	ζ⁸+ζ¹⁴	ζ²³+ζ³²	0	$- 1 - i \sqrt{3}$	ζ¹³+ζ³¹	ζ⁴+ζ⁷	ζ¹⁶+ζ²⁸	ζ¹⁹+ζ²⁵	ζ+ζ¹⁰	0
χ₁₃	2	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	0	2	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	0	$- 1 + i \sqrt{3}$	ζ²³+ζ³²	ζ²+ζ²⁰	ζ⁸+ζ¹⁴	ζ²⁶+ζ²⁹	ζ⁵+ζ¹⁷	0	$- 1 - i \sqrt{3}$	ζ+ζ¹⁰	ζ¹³+ζ³¹	ζ¹⁹+ζ²⁵	ζ⁴+ζ⁷	ζ¹⁶+ζ²⁸	0
χ₁₄	2	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	0	2	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	0	$- 1 + i \sqrt{3}$	ζ²⁶+ζ²⁹	ζ⁸+ζ¹⁴	ζ²³+ζ³²	ζ⁵+ζ¹⁷	ζ²+ζ²⁰	0	$- 1 - i \sqrt{3}$	ζ⁴+ζ⁷	ζ¹⁹+ζ²⁵	ζ+ζ¹⁰	ζ¹⁶+ζ²⁸	ζ¹³+ζ³¹	0
χ₁₅	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₁₆	1	1	1	1	1	1	-1	1	1	1	1	1	1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₁₇	2	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	0	2	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	0	$- 1 - i \sqrt{3}$	ζ¹⁹+ζ²⁵	ζ¹⁶+ζ²⁸	ζ¹³+ζ³¹	ζ+ζ¹⁰	ζ⁴+ζ⁷	0	$- 1 + i \sqrt{3}$	ζ⁸+ζ¹⁴	ζ⁵+ζ¹⁷	ζ²+ζ²⁰	ζ²³+ζ³²	ζ²⁶+ζ²⁹	0
χ₁₈	2	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	0	2	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	0	$- 1 - i \sqrt{3}$	ζ¹⁶+ζ²⁸	ζ+ζ¹⁰	ζ⁴+ζ⁷	ζ¹³+ζ³¹	ζ¹⁹+ζ²⁵	0	$- 1 + i \sqrt{3}$	ζ⁵+ζ¹⁷	ζ²³+ζ³²	ζ²⁶+ζ²⁹	ζ²+ζ²⁰	ζ⁸+ζ¹⁴	0
χ₁₉	2	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	0	2	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	0	$- 1 - i \sqrt{3}$	ζ¹³+ζ³¹	ζ⁴+ζ⁷	ζ¹⁶+ζ²⁸	ζ¹⁹+ζ²⁵	ζ+ζ¹⁰	0	$- 1 + i \sqrt{3}$	ζ²+ζ²⁰	ζ²⁶+ζ²⁹	ζ⁵+ζ¹⁷	ζ⁸+ζ¹⁴	ζ²³+ζ³²	0
χ₂₀	2	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	0	2	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ²−ζ¹³−ζ²⁰−ζ³¹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	0	$- 1 - i \sqrt{3}$	ζ+ζ¹⁰	ζ¹³+ζ³¹	ζ¹⁹+ζ²⁵	ζ⁴+ζ⁷	ζ¹⁶+ζ²⁸	0	$- 1 + i \sqrt{3}$	ζ²³+ζ³²	ζ²+ζ²⁰	ζ⁸+ζ¹⁴	ζ²⁶+ζ²⁹	ζ⁵+ζ¹⁷	0
χ₂₁	2	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	0	2	−ζ⁴−ζ⁷−ζ²⁶−ζ²⁹	−ζ⁸−ζ¹⁴−ζ¹⁹−ζ²⁵	−ζ−ζ¹⁰−ζ²³−ζ³²	−ζ⁵−ζ¹⁶−ζ¹⁷−ζ²⁸	−ζ²−ζ¹³−ζ²⁰−ζ³¹	0	$- 1 - i \sqrt{3}$	ζ⁴+ζ⁷	ζ¹⁹+ζ²⁵	ζ+ζ¹⁰	ζ¹⁶+ζ²⁸	ζ¹³+ζ³¹	0	$- 1 + i \sqrt{3}$	ζ²⁶+ζ²⁹	ζ⁸+ζ¹⁴	ζ²³+ζ³²	ζ⁵+ζ¹⁷	ζ²+ζ²⁰	0
χ₂₂	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	3	3	3	3	3	3	-3	-1	-1	-1	-1	-1	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	6	−3ζ⁸−3ζ¹⁴−3ζ¹⁹−3ζ²⁵	−3ζ⁵−3ζ¹⁶−3ζ¹⁷−3ζ²⁸	−3ζ²−3ζ¹³−3ζ²⁰−3ζ³¹	−3ζ−3ζ¹⁰−3ζ²³−3ζ³²	−3ζ⁴−3ζ⁷−3ζ²⁶−3ζ²⁹	0	-2	ζ⁸+ζ¹⁴+ζ¹⁹+ζ²⁵	ζ⁵+ζ¹⁶+ζ¹⁷+ζ²⁸	ζ²+ζ¹³+ζ²⁰+ζ³¹	ζ+ζ¹⁰+ζ²³+ζ³²	ζ⁴+ζ⁷+ζ²⁶+ζ²⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	6	−3ζ⁵−3ζ¹⁶−3ζ¹⁷−3ζ²⁸	−3ζ−3ζ¹⁰−3ζ²³−3ζ³²	−3ζ⁴−3ζ⁷−3ζ²⁶−3ζ²⁹	−3ζ²−3ζ¹³−3ζ²⁰−3ζ³¹	−3ζ⁸−3ζ¹⁴−3ζ¹⁹−3ζ²⁵	0	-2	ζ⁵+ζ¹⁶+ζ¹⁷+ζ²⁸	ζ+ζ¹⁰+ζ²³+ζ³²	ζ⁴+ζ⁷+ζ²⁶+ζ²⁹	ζ²+ζ¹³+ζ²⁰+ζ³¹	ζ⁸+ζ¹⁴+ζ¹⁹+ζ²⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	6	−3ζ²−3ζ¹³−3ζ²⁰−3ζ³¹	−3ζ⁴−3ζ⁷−3ζ²⁶−3ζ²⁹	−3ζ⁵−3ζ¹⁶−3ζ¹⁷−3ζ²⁸	−3ζ⁸−3ζ¹⁴−3ζ¹⁹−3ζ²⁵	−3ζ−3ζ¹⁰−3ζ²³−3ζ³²	0	-2	ζ²+ζ¹³+ζ²⁰+ζ³¹	ζ⁴+ζ⁷+ζ²⁶+ζ²⁹	ζ⁵+ζ¹⁶+ζ¹⁷+ζ²⁸	ζ⁸+ζ¹⁴+ζ¹⁹+ζ²⁵	ζ+ζ¹⁰+ζ²³+ζ³²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	6	−3ζ−3ζ¹⁰−3ζ²³−3ζ³²	−3ζ²−3ζ¹³−3ζ²⁰−3ζ³¹	−3ζ⁸−3ζ¹⁴−3ζ¹⁹−3ζ²⁵	−3ζ⁴−3ζ⁷−3ζ²⁶−3ζ²⁹	−3ζ⁵−3ζ¹⁶−3ζ¹⁷−3ζ²⁸	0	-2	ζ+ζ¹⁰+ζ²³+ζ³²	ζ²+ζ¹³+ζ²⁰+ζ³¹	ζ⁸+ζ¹⁴+ζ¹⁹+ζ²⁵	ζ⁴+ζ⁷+ζ²⁶+ζ²⁹	ζ⁵+ζ¹⁶+ζ¹⁷+ζ²⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	6	−3ζ⁴−3ζ⁷−3ζ²⁶−3ζ²⁹	−3ζ⁸−3ζ¹⁴−3ζ¹⁹−3ζ²⁵	−3ζ−3ζ¹⁰−3ζ²³−3ζ³²	−3ζ⁵−3ζ¹⁶−3ζ¹⁷−3ζ²⁸	−3ζ²−3ζ¹³−3ζ²⁰−3ζ³¹	0	-2	ζ⁴+ζ⁷+ζ²⁶+ζ²⁹	ζ⁸+ζ¹⁴+ζ¹⁹+ζ²⁵	ζ+ζ¹⁰+ζ²³+ζ³²	ζ⁵+ζ¹⁶+ζ¹⁷+ζ²⁸	ζ²+ζ¹³+ζ²⁰+ζ³¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #63165