Group #11761916 — 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
size	1	2	2	2	2	15	20	24	24	24	24	24	24	24	24	24	30	30	30	30	40	40	40	40	90	180	270
order	1	3	9	9	9	2	3	5	15	15	45	45	45	45	45	45	6	18	18	18	3	9	9	9	2	6	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
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
χ₃	2	2	-1	-1	-1	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	0	0	0
χ₄	2	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	2	2	2	-1	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	0	0	0
χ₅	2	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	2	2	2	-1	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	0	0	0
χ₆	2	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	2	2	2	-1	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	0	0	0
χ₇	4	4	4	4	4	0	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	1	1	1	1	2	-1	0
χ₈	4	4	4	4	4	0	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	1	1	1	1	-2	1	0
χ₉	5	5	5	5	5	1	-1	0	0	0	0	0	0	0	0	0	1	1	1	1	-1	-1	-1	-1	1	1	-1
χ₁₀	5	5	5	5	5	1	-1	0	0	0	0	0	0	0	0	0	1	1	1	1	-1	-1	-1	-1	-1	-1	1
χ₁₁	6	6	6	6	6	-2	0	1	1	1	1	1	1	1	1	1	-2	-2	-2	-2	0	0	0	0	0	0	0
χ₁₂	6	6	-3	-3	-3	-2	0	1	1	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	-2	1	1	1	0	0	0	0	0	0	0
χ₁₃	6	6	-3	-3	-3	-2	0	1	1	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	-2	1	1	1	0	0	0	0	0	0	0
χ₁₄	6	-3	3ζ⁴+3ζ⁷−3ζ⁸+3ζ¹³+3ζ¹⁶−3ζ¹⁷+3ζ²²−3ζ²⁶+3ζ³¹+3ζ³⁴+3ζ⁴³−3ζ⁴⁴	−3ζ⁴−3ζ¹³−3ζ¹⁴−3ζ²²−3ζ²³−3ζ³¹−3ζ³²−3ζ⁴¹	−3ζ⁷+3ζ⁸+3ζ¹⁴−3ζ¹⁶+3ζ¹⁷+3ζ²³+3ζ²⁶+3ζ³²−3ζ³⁴+3ζ⁴¹−3ζ⁴³+3ζ⁴⁴	-2	0	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	ζ⁴−ζ⁸+ζ¹⁶−ζ¹⁷+ζ³¹+ζ³⁴	ζ⁷+ζ¹³+ζ²²−ζ²⁶+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ²³−ζ³¹−ζ³²	−ζ¹³−ζ¹⁴−ζ²²−ζ⁴¹	ζ⁸−ζ¹⁶+ζ¹⁷+ζ²³+ζ³²−ζ³⁴	−ζ⁷+ζ¹⁴+ζ²⁶+ζ⁴¹−ζ⁴³+ζ⁴⁴	1	−ζ⁴−ζ⁷+ζ⁸−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²²+ζ²⁶−ζ³¹−ζ³⁴−ζ⁴³+ζ⁴⁴	ζ⁴+ζ¹³+ζ¹⁴+ζ²²+ζ²³+ζ³¹+ζ³²+ζ⁴¹	ζ⁷−ζ⁸−ζ¹⁴+ζ¹⁶−ζ¹⁷−ζ²³−ζ²⁶−ζ³²+ζ³⁴−ζ⁴¹+ζ⁴³−ζ⁴⁴	0	0	0	0	0	0	0
χ₁₅	6	-3	3ζ⁴+3ζ⁷−3ζ⁸+3ζ¹³+3ζ¹⁶−3ζ¹⁷+3ζ²²−3ζ²⁶+3ζ³¹+3ζ³⁴+3ζ⁴³−3ζ⁴⁴	−3ζ⁴−3ζ¹³−3ζ¹⁴−3ζ²²−3ζ²³−3ζ³¹−3ζ³²−3ζ⁴¹	−3ζ⁷+3ζ⁸+3ζ¹⁴−3ζ¹⁶+3ζ¹⁷+3ζ²³+3ζ²⁶+3ζ³²−3ζ³⁴+3ζ⁴¹−3ζ⁴³+3ζ⁴⁴	-2	0	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	ζ⁷+ζ¹³+ζ²²−ζ²⁶+ζ⁴³−ζ⁴⁴	ζ⁴−ζ⁸+ζ¹⁶−ζ¹⁷+ζ³¹+ζ³⁴	−ζ¹³−ζ¹⁴−ζ²²−ζ⁴¹	−ζ⁴−ζ²³−ζ³¹−ζ³²	−ζ⁷+ζ¹⁴+ζ²⁶+ζ⁴¹−ζ⁴³+ζ⁴⁴	ζ⁸−ζ¹⁶+ζ¹⁷+ζ²³+ζ³²−ζ³⁴	1	−ζ⁴−ζ⁷+ζ⁸−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²²+ζ²⁶−ζ³¹−ζ³⁴−ζ⁴³+ζ⁴⁴	ζ⁴+ζ¹³+ζ¹⁴+ζ²²+ζ²³+ζ³¹+ζ³²+ζ⁴¹	ζ⁷−ζ⁸−ζ¹⁴+ζ¹⁶−ζ¹⁷−ζ²³−ζ²⁶−ζ³²+ζ³⁴−ζ⁴¹+ζ⁴³−ζ⁴⁴	0	0	0	0	0	0	0
χ₁₆	6	-3	−3ζ⁴−3ζ¹³−3ζ¹⁴−3ζ²²−3ζ²³−3ζ³¹−3ζ³²−3ζ⁴¹	−3ζ⁷+3ζ⁸+3ζ¹⁴−3ζ¹⁶+3ζ¹⁷+3ζ²³+3ζ²⁶+3ζ³²−3ζ³⁴+3ζ⁴¹−3ζ⁴³+3ζ⁴⁴	3ζ⁴+3ζ⁷−3ζ⁸+3ζ¹³+3ζ¹⁶−3ζ¹⁷+3ζ²²−3ζ²⁶+3ζ³¹+3ζ³⁴+3ζ⁴³−3ζ⁴⁴	-2	0	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	−ζ⁴−ζ²³−ζ³¹−ζ³²	−ζ¹³−ζ¹⁴−ζ²²−ζ⁴¹	ζ⁸−ζ¹⁶+ζ¹⁷+ζ²³+ζ³²−ζ³⁴	−ζ⁷+ζ¹⁴+ζ²⁶+ζ⁴¹−ζ⁴³+ζ⁴⁴	ζ⁴−ζ⁸+ζ¹⁶−ζ¹⁷+ζ³¹+ζ³⁴	ζ⁷+ζ¹³+ζ²²−ζ²⁶+ζ⁴³−ζ⁴⁴	1	ζ⁴+ζ¹³+ζ¹⁴+ζ²²+ζ²³+ζ³¹+ζ³²+ζ⁴¹	ζ⁷−ζ⁸−ζ¹⁴+ζ¹⁶−ζ¹⁷−ζ²³−ζ²⁶−ζ³²+ζ³⁴−ζ⁴¹+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ⁷+ζ⁸−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²²+ζ²⁶−ζ³¹−ζ³⁴−ζ⁴³+ζ⁴⁴	0	0	0	0	0	0	0
χ₁₇	6	-3	−3ζ⁴−3ζ¹³−3ζ¹⁴−3ζ²²−3ζ²³−3ζ³¹−3ζ³²−3ζ⁴¹	−3ζ⁷+3ζ⁸+3ζ¹⁴−3ζ¹⁶+3ζ¹⁷+3ζ²³+3ζ²⁶+3ζ³²−3ζ³⁴+3ζ⁴¹−3ζ⁴³+3ζ⁴⁴	3ζ⁴+3ζ⁷−3ζ⁸+3ζ¹³+3ζ¹⁶−3ζ¹⁷+3ζ²²−3ζ²⁶+3ζ³¹+3ζ³⁴+3ζ⁴³−3ζ⁴⁴	-2	0	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	−ζ¹³−ζ¹⁴−ζ²²−ζ⁴¹	−ζ⁴−ζ²³−ζ³¹−ζ³²	−ζ⁷+ζ¹⁴+ζ²⁶+ζ⁴¹−ζ⁴³+ζ⁴⁴	ζ⁸−ζ¹⁶+ζ¹⁷+ζ²³+ζ³²−ζ³⁴	ζ⁷+ζ¹³+ζ²²−ζ²⁶+ζ⁴³−ζ⁴⁴	ζ⁴−ζ⁸+ζ¹⁶−ζ¹⁷+ζ³¹+ζ³⁴	1	ζ⁴+ζ¹³+ζ¹⁴+ζ²²+ζ²³+ζ³¹+ζ³²+ζ⁴¹	ζ⁷−ζ⁸−ζ¹⁴+ζ¹⁶−ζ¹⁷−ζ²³−ζ²⁶−ζ³²+ζ³⁴−ζ⁴¹+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ⁷+ζ⁸−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²²+ζ²⁶−ζ³¹−ζ³⁴−ζ⁴³+ζ⁴⁴	0	0	0	0	0	0	0
χ₁₈	6	-3	−3ζ⁷+3ζ⁸+3ζ¹⁴−3ζ¹⁶+3ζ¹⁷+3ζ²³+3ζ²⁶+3ζ³²−3ζ³⁴+3ζ⁴¹−3ζ⁴³+3ζ⁴⁴	3ζ⁴+3ζ⁷−3ζ⁸+3ζ¹³+3ζ¹⁶−3ζ¹⁷+3ζ²²−3ζ²⁶+3ζ³¹+3ζ³⁴+3ζ⁴³−3ζ⁴⁴	−3ζ⁴−3ζ¹³−3ζ¹⁴−3ζ²²−3ζ²³−3ζ³¹−3ζ³²−3ζ⁴¹	-2	0	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	ζ⁸−ζ¹⁶+ζ¹⁷+ζ²³+ζ³²−ζ³⁴	−ζ⁷+ζ¹⁴+ζ²⁶+ζ⁴¹−ζ⁴³+ζ⁴⁴	ζ⁴−ζ⁸+ζ¹⁶−ζ¹⁷+ζ³¹+ζ³⁴	ζ⁷+ζ¹³+ζ²²−ζ²⁶+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ²³−ζ³¹−ζ³²	−ζ¹³−ζ¹⁴−ζ²²−ζ⁴¹	1	ζ⁷−ζ⁸−ζ¹⁴+ζ¹⁶−ζ¹⁷−ζ²³−ζ²⁶−ζ³²+ζ³⁴−ζ⁴¹+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ⁷+ζ⁸−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²²+ζ²⁶−ζ³¹−ζ³⁴−ζ⁴³+ζ⁴⁴	ζ⁴+ζ¹³+ζ¹⁴+ζ²²+ζ²³+ζ³¹+ζ³²+ζ⁴¹	0	0	0	0	0	0	0
χ₁₉	6	-3	−3ζ⁷+3ζ⁸+3ζ¹⁴−3ζ¹⁶+3ζ¹⁷+3ζ²³+3ζ²⁶+3ζ³²−3ζ³⁴+3ζ⁴¹−3ζ⁴³+3ζ⁴⁴	3ζ⁴+3ζ⁷−3ζ⁸+3ζ¹³+3ζ¹⁶−3ζ¹⁷+3ζ²²−3ζ²⁶+3ζ³¹+3ζ³⁴+3ζ⁴³−3ζ⁴⁴	−3ζ⁴−3ζ¹³−3ζ¹⁴−3ζ²²−3ζ²³−3ζ³¹−3ζ³²−3ζ⁴¹	-2	0	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	−ζ⁷+ζ¹⁴+ζ²⁶+ζ⁴¹−ζ⁴³+ζ⁴⁴	ζ⁸−ζ¹⁶+ζ¹⁷+ζ²³+ζ³²−ζ³⁴	ζ⁷+ζ¹³+ζ²²−ζ²⁶+ζ⁴³−ζ⁴⁴	ζ⁴−ζ⁸+ζ¹⁶−ζ¹⁷+ζ³¹+ζ³⁴	−ζ¹³−ζ¹⁴−ζ²²−ζ⁴¹	−ζ⁴−ζ²³−ζ³¹−ζ³²	1	ζ⁷−ζ⁸−ζ¹⁴+ζ¹⁶−ζ¹⁷−ζ²³−ζ²⁶−ζ³²+ζ³⁴−ζ⁴¹+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ⁷+ζ⁸−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²²+ζ²⁶−ζ³¹−ζ³⁴−ζ⁴³+ζ⁴⁴	ζ⁴+ζ¹³+ζ¹⁴+ζ²²+ζ²³+ζ³¹+ζ³²+ζ⁴¹	0	0	0	0	0	0	0
χ₂₀	8	8	-4	-4	-4	0	2	-2	-2	-2	1	1	1	1	1	1	0	0	0	0	2	-1	-1	-1	0	0	0
χ₂₁	8	-4	4ζ⁴+4ζ⁷−4ζ⁸+4ζ¹³+4ζ¹⁶−4ζ¹⁷+4ζ²²−4ζ²⁶+4ζ³¹+4ζ³⁴+4ζ⁴³−4ζ⁴⁴	−4ζ⁴−4ζ¹³−4ζ¹⁴−4ζ²²−4ζ²³−4ζ³¹−4ζ³²−4ζ⁴¹	−4ζ⁷+4ζ⁸+4ζ¹⁴−4ζ¹⁶+4ζ¹⁷+4ζ²³+4ζ²⁶+4ζ³²−4ζ³⁴+4ζ⁴¹−4ζ⁴³+4ζ⁴⁴	0	2	-2	1	1	−ζ⁴−ζ⁷+ζ⁸−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²²+ζ²⁶−ζ³¹−ζ³⁴−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ⁷+ζ⁸−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²²+ζ²⁶−ζ³¹−ζ³⁴−ζ⁴³+ζ⁴⁴	ζ⁴+ζ¹³+ζ¹⁴+ζ²²+ζ²³+ζ³¹+ζ³²+ζ⁴¹	ζ⁴+ζ¹³+ζ¹⁴+ζ²²+ζ²³+ζ³¹+ζ³²+ζ⁴¹	ζ⁷−ζ⁸−ζ¹⁴+ζ¹⁶−ζ¹⁷−ζ²³−ζ²⁶−ζ³²+ζ³⁴−ζ⁴¹+ζ⁴³−ζ⁴⁴	ζ⁷−ζ⁸−ζ¹⁴+ζ¹⁶−ζ¹⁷−ζ²³−ζ²⁶−ζ³²+ζ³⁴−ζ⁴¹+ζ⁴³−ζ⁴⁴	0	0	0	0	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	0	0	0
χ₂₂	8	-4	−4ζ⁴−4ζ¹³−4ζ¹⁴−4ζ²²−4ζ²³−4ζ³¹−4ζ³²−4ζ⁴¹	−4ζ⁷+4ζ⁸+4ζ¹⁴−4ζ¹⁶+4ζ¹⁷+4ζ²³+4ζ²⁶+4ζ³²−4ζ³⁴+4ζ⁴¹−4ζ⁴³+4ζ⁴⁴	4ζ⁴+4ζ⁷−4ζ⁸+4ζ¹³+4ζ¹⁶−4ζ¹⁷+4ζ²²−4ζ²⁶+4ζ³¹+4ζ³⁴+4ζ⁴³−4ζ⁴⁴	0	2	-2	1	1	ζ⁴+ζ¹³+ζ¹⁴+ζ²²+ζ²³+ζ³¹+ζ³²+ζ⁴¹	ζ⁴+ζ¹³+ζ¹⁴+ζ²²+ζ²³+ζ³¹+ζ³²+ζ⁴¹	ζ⁷−ζ⁸−ζ¹⁴+ζ¹⁶−ζ¹⁷−ζ²³−ζ²⁶−ζ³²+ζ³⁴−ζ⁴¹+ζ⁴³−ζ⁴⁴	ζ⁷−ζ⁸−ζ¹⁴+ζ¹⁶−ζ¹⁷−ζ²³−ζ²⁶−ζ³²+ζ³⁴−ζ⁴¹+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ⁷+ζ⁸−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²²+ζ²⁶−ζ³¹−ζ³⁴−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ⁷+ζ⁸−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²²+ζ²⁶−ζ³¹−ζ³⁴−ζ⁴³+ζ⁴⁴	0	0	0	0	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	0	0	0
χ₂₃	8	-4	−4ζ⁷+4ζ⁸+4ζ¹⁴−4ζ¹⁶+4ζ¹⁷+4ζ²³+4ζ²⁶+4ζ³²−4ζ³⁴+4ζ⁴¹−4ζ⁴³+4ζ⁴⁴	4ζ⁴+4ζ⁷−4ζ⁸+4ζ¹³+4ζ¹⁶−4ζ¹⁷+4ζ²²−4ζ²⁶+4ζ³¹+4ζ³⁴+4ζ⁴³−4ζ⁴⁴	−4ζ⁴−4ζ¹³−4ζ¹⁴−4ζ²²−4ζ²³−4ζ³¹−4ζ³²−4ζ⁴¹	0	2	-2	1	1	ζ⁷−ζ⁸−ζ¹⁴+ζ¹⁶−ζ¹⁷−ζ²³−ζ²⁶−ζ³²+ζ³⁴−ζ⁴¹+ζ⁴³−ζ⁴⁴	ζ⁷−ζ⁸−ζ¹⁴+ζ¹⁶−ζ¹⁷−ζ²³−ζ²⁶−ζ³²+ζ³⁴−ζ⁴¹+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ⁷+ζ⁸−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²²+ζ²⁶−ζ³¹−ζ³⁴−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ⁷+ζ⁸−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²²+ζ²⁶−ζ³¹−ζ³⁴−ζ⁴³+ζ⁴⁴	ζ⁴+ζ¹³+ζ¹⁴+ζ²²+ζ²³+ζ³¹+ζ³²+ζ⁴¹	ζ⁴+ζ¹³+ζ¹⁴+ζ²²+ζ²³+ζ³¹+ζ³²+ζ⁴¹	0	0	0	0	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	0	0	0
χ₂₄	10	10	-5	-5	-5	2	-2	0	0	0	0	0	0	0	0	0	2	-1	-1	-1	-2	1	1	1	0	0	0
χ₂₅	10	-5	5ζ⁴+5ζ⁷−5ζ⁸+5ζ¹³+5ζ¹⁶−5ζ¹⁷+5ζ²²−5ζ²⁶+5ζ³¹+5ζ³⁴+5ζ⁴³−5ζ⁴⁴	−5ζ⁴−5ζ¹³−5ζ¹⁴−5ζ²²−5ζ²³−5ζ³¹−5ζ³²−5ζ⁴¹	−5ζ⁷+5ζ⁸+5ζ¹⁴−5ζ¹⁶+5ζ¹⁷+5ζ²³+5ζ²⁶+5ζ³²−5ζ³⁴+5ζ⁴¹−5ζ⁴³+5ζ⁴⁴	2	-2	0	0	0	0	0	0	0	0	0	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	1	−ζ⁴−ζ⁷+ζ⁸−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²²+ζ²⁶−ζ³¹−ζ³⁴−ζ⁴³+ζ⁴⁴	ζ⁴+ζ¹³+ζ¹⁴+ζ²²+ζ²³+ζ³¹+ζ³²+ζ⁴¹	ζ⁷−ζ⁸−ζ¹⁴+ζ¹⁶−ζ¹⁷−ζ²³−ζ²⁶−ζ³²+ζ³⁴−ζ⁴¹+ζ⁴³−ζ⁴⁴	0	0	0
χ₂₆	10	-5	−5ζ⁴−5ζ¹³−5ζ¹⁴−5ζ²²−5ζ²³−5ζ³¹−5ζ³²−5ζ⁴¹	−5ζ⁷+5ζ⁸+5ζ¹⁴−5ζ¹⁶+5ζ¹⁷+5ζ²³+5ζ²⁶+5ζ³²−5ζ³⁴+5ζ⁴¹−5ζ⁴³+5ζ⁴⁴	5ζ⁴+5ζ⁷−5ζ⁸+5ζ¹³+5ζ¹⁶−5ζ¹⁷+5ζ²²−5ζ²⁶+5ζ³¹+5ζ³⁴+5ζ⁴³−5ζ⁴⁴	2	-2	0	0	0	0	0	0	0	0	0	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	1	ζ⁴+ζ¹³+ζ¹⁴+ζ²²+ζ²³+ζ³¹+ζ³²+ζ⁴¹	ζ⁷−ζ⁸−ζ¹⁴+ζ¹⁶−ζ¹⁷−ζ²³−ζ²⁶−ζ³²+ζ³⁴−ζ⁴¹+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ⁷+ζ⁸−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²²+ζ²⁶−ζ³¹−ζ³⁴−ζ⁴³+ζ⁴⁴	0	0	0
χ₂₇	10	-5	−5ζ⁷+5ζ⁸+5ζ¹⁴−5ζ¹⁶+5ζ¹⁷+5ζ²³+5ζ²⁶+5ζ³²−5ζ³⁴+5ζ⁴¹−5ζ⁴³+5ζ⁴⁴	5ζ⁴+5ζ⁷−5ζ⁸+5ζ¹³+5ζ¹⁶−5ζ¹⁷+5ζ²²−5ζ²⁶+5ζ³¹+5ζ³⁴+5ζ⁴³−5ζ⁴⁴	−5ζ⁴−5ζ¹³−5ζ¹⁴−5ζ²²−5ζ²³−5ζ³¹−5ζ³²−5ζ⁴¹	2	-2	0	0	0	0	0	0	0	0	0	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	1	ζ⁷−ζ⁸−ζ¹⁴+ζ¹⁶−ζ¹⁷−ζ²³−ζ²⁶−ζ³²+ζ³⁴−ζ⁴¹+ζ⁴³−ζ⁴⁴	−ζ⁴−ζ⁷+ζ⁸−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²²+ζ²⁶−ζ³¹−ζ³⁴−ζ⁴³+ζ⁴⁴	ζ⁴+ζ¹³+ζ¹⁴+ζ²²+ζ²³+ζ³¹+ζ³²+ζ⁴¹	0	0	0

Character table — Group #11761916