Group #776 — 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	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	45
order	1	3	5	5	9	9	9	15	15	15	15	45	45	45	45	45	45	45	45	45	45	45	45	2
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	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1
χ₃	2	2	2	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0
χ₄	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0
χ₅	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	-1	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁶+ζ³⁹	ζ⁶+ζ³⁹	ζ⁶+ζ³⁹	ζ²¹+ζ²⁴	ζ²¹+ζ²⁴	ζ²¹+ζ²⁴	ζ¹²+ζ³³	ζ¹²+ζ³³	ζ¹²+ζ³³	ζ³+ζ⁴²	ζ³+ζ⁴²	ζ³+ζ⁴²	0
χ₆	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	-1	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ²¹+ζ²⁴	ζ²¹+ζ²⁴	ζ²¹+ζ²⁴	ζ⁶+ζ³⁹	ζ⁶+ζ³⁹	ζ⁶+ζ³⁹	ζ³+ζ⁴²	ζ³+ζ⁴²	ζ³+ζ⁴²	ζ¹²+ζ³³	ζ¹²+ζ³³	ζ¹²+ζ³³	0
χ₇	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0
χ₈	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	-1	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ¹²+ζ³³	ζ¹²+ζ³³	ζ¹²+ζ³³	ζ³+ζ⁴²	ζ³+ζ⁴²	ζ³+ζ⁴²	ζ²¹+ζ²⁴	ζ²¹+ζ²⁴	ζ²¹+ζ²⁴	ζ⁶+ζ³⁹	ζ⁶+ζ³⁹	ζ⁶+ζ³⁹	0
χ₉	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	-1	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ³+ζ⁴²	ζ³+ζ⁴²	ζ³+ζ⁴²	ζ¹²+ζ³³	ζ¹²+ζ³³	ζ¹²+ζ³³	ζ⁶+ζ³⁹	ζ⁶+ζ³⁹	ζ⁶+ζ³⁹	ζ²¹+ζ²⁴	ζ²¹+ζ²⁴	ζ²¹+ζ²⁴	0
χ₁₀	2	-1	2	2	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	-1	-1	-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	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	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	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
χ₁₁	2	-1	2	2	−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	-1	-1	-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	−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	−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	−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
χ₁₂	2	-1	2	2	−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	-1	-1	-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	−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	−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	−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
χ₁₃	2	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	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	ζ⁶+ζ³⁹	ζ²¹+ζ²⁴	ζ¹²+ζ³³	ζ³+ζ⁴²	−ζ¹⁶−ζ³¹+ζ⁴⁴	ζ¹⁴+ζ³¹	−ζ¹⁴+ζ¹⁶−ζ⁴⁴	−ζ⁴+ζ²⁶−ζ³⁴	ζ⁴+ζ⁴¹	−ζ²⁶+ζ³⁴−ζ⁴¹	−ζ¹³+ζ¹⁷−ζ⁴³	ζ¹³+ζ³²	−ζ¹⁷−ζ³²+ζ⁴³	−ζ⁷+ζ⁸−ζ²²	ζ²²+ζ²³	ζ⁷−ζ⁸−ζ²³	0
χ₁₄	2	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	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	ζ²¹+ζ²⁴	ζ⁶+ζ³⁹	ζ³+ζ⁴²	ζ¹²+ζ³³	−ζ⁴+ζ²⁶−ζ³⁴	ζ⁴+ζ⁴¹	−ζ²⁶+ζ³⁴−ζ⁴¹	−ζ¹⁶−ζ³¹+ζ⁴⁴	ζ¹⁴+ζ³¹	−ζ¹⁴+ζ¹⁶−ζ⁴⁴	−ζ⁷+ζ⁸−ζ²²	ζ²²+ζ²³	ζ⁷−ζ⁸−ζ²³	−ζ¹³+ζ¹⁷−ζ⁴³	ζ¹³+ζ³²	−ζ¹⁷−ζ³²+ζ⁴³	0
χ₁₅	2	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	−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	ζ⁶+ζ³⁹	ζ²¹+ζ²⁴	ζ¹²+ζ³³	ζ³+ζ⁴²	ζ¹⁴+ζ³¹	−ζ¹⁴+ζ¹⁶−ζ⁴⁴	−ζ¹⁶−ζ³¹+ζ⁴⁴	ζ⁴+ζ⁴¹	−ζ²⁶+ζ³⁴−ζ⁴¹	−ζ⁴+ζ²⁶−ζ³⁴	ζ¹³+ζ³²	−ζ¹⁷−ζ³²+ζ⁴³	−ζ¹³+ζ¹⁷−ζ⁴³	ζ²²+ζ²³	ζ⁷−ζ⁸−ζ²³	−ζ⁷+ζ⁸−ζ²²	0
χ₁₆	2	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	−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	ζ²¹+ζ²⁴	ζ⁶+ζ³⁹	ζ³+ζ⁴²	ζ¹²+ζ³³	ζ⁴+ζ⁴¹	−ζ²⁶+ζ³⁴−ζ⁴¹	−ζ⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ³¹	−ζ¹⁴+ζ¹⁶−ζ⁴⁴	−ζ¹⁶−ζ³¹+ζ⁴⁴	ζ²²+ζ²³	ζ⁷−ζ⁸−ζ²³	−ζ⁷+ζ⁸−ζ²²	ζ¹³+ζ³²	−ζ¹⁷−ζ³²+ζ⁴³	−ζ¹³+ζ¹⁷−ζ⁴³	0
χ₁₇	2	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	−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	ζ⁶+ζ³⁹	ζ²¹+ζ²⁴	ζ¹²+ζ³³	ζ³+ζ⁴²	−ζ¹⁴+ζ¹⁶−ζ⁴⁴	−ζ¹⁶−ζ³¹+ζ⁴⁴	ζ¹⁴+ζ³¹	−ζ²⁶+ζ³⁴−ζ⁴¹	−ζ⁴+ζ²⁶−ζ³⁴	ζ⁴+ζ⁴¹	−ζ¹⁷−ζ³²+ζ⁴³	−ζ¹³+ζ¹⁷−ζ⁴³	ζ¹³+ζ³²	ζ⁷−ζ⁸−ζ²³	−ζ⁷+ζ⁸−ζ²²	ζ²²+ζ²³	0
χ₁₈	2	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	−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	ζ²¹+ζ²⁴	ζ⁶+ζ³⁹	ζ³+ζ⁴²	ζ¹²+ζ³³	−ζ²⁶+ζ³⁴−ζ⁴¹	−ζ⁴+ζ²⁶−ζ³⁴	ζ⁴+ζ⁴¹	−ζ¹⁴+ζ¹⁶−ζ⁴⁴	−ζ¹⁶−ζ³¹+ζ⁴⁴	ζ¹⁴+ζ³¹	ζ⁷−ζ⁸−ζ²³	−ζ⁷+ζ⁸−ζ²²	ζ²²+ζ²³	−ζ¹⁷−ζ³²+ζ⁴³	−ζ¹³+ζ¹⁷−ζ⁴³	ζ¹³+ζ³²	0
χ₁₉	2	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	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	ζ¹²+ζ³³	ζ³+ζ⁴²	ζ²¹+ζ²⁴	ζ⁶+ζ³⁹	−ζ¹³+ζ¹⁷−ζ⁴³	ζ¹³+ζ³²	−ζ¹⁷−ζ³²+ζ⁴³	−ζ⁷+ζ⁸−ζ²²	ζ²²+ζ²³	ζ⁷−ζ⁸−ζ²³	−ζ⁴+ζ²⁶−ζ³⁴	ζ⁴+ζ⁴¹	−ζ²⁶+ζ³⁴−ζ⁴¹	−ζ¹⁶−ζ³¹+ζ⁴⁴	ζ¹⁴+ζ³¹	−ζ¹⁴+ζ¹⁶−ζ⁴⁴	0
χ₂₀	2	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	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	ζ³+ζ⁴²	ζ¹²+ζ³³	ζ⁶+ζ³⁹	ζ²¹+ζ²⁴	−ζ⁷+ζ⁸−ζ²²	ζ²²+ζ²³	ζ⁷−ζ⁸−ζ²³	−ζ¹³+ζ¹⁷−ζ⁴³	ζ¹³+ζ³²	−ζ¹⁷−ζ³²+ζ⁴³	−ζ¹⁶−ζ³¹+ζ⁴⁴	ζ¹⁴+ζ³¹	−ζ¹⁴+ζ¹⁶−ζ⁴⁴	−ζ⁴+ζ²⁶−ζ³⁴	ζ⁴+ζ⁴¹	−ζ²⁶+ζ³⁴−ζ⁴¹	0
χ₂₁	2	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	−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	ζ¹²+ζ³³	ζ³+ζ⁴²	ζ²¹+ζ²⁴	ζ⁶+ζ³⁹	ζ¹³+ζ³²	−ζ¹⁷−ζ³²+ζ⁴³	−ζ¹³+ζ¹⁷−ζ⁴³	ζ²²+ζ²³	ζ⁷−ζ⁸−ζ²³	−ζ⁷+ζ⁸−ζ²²	ζ⁴+ζ⁴¹	−ζ²⁶+ζ³⁴−ζ⁴¹	−ζ⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ³¹	−ζ¹⁴+ζ¹⁶−ζ⁴⁴	−ζ¹⁶−ζ³¹+ζ⁴⁴	0
χ₂₂	2	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	−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	ζ³+ζ⁴²	ζ¹²+ζ³³	ζ⁶+ζ³⁹	ζ²¹+ζ²⁴	ζ²²+ζ²³	ζ⁷−ζ⁸−ζ²³	−ζ⁷+ζ⁸−ζ²²	ζ¹³+ζ³²	−ζ¹⁷−ζ³²+ζ⁴³	−ζ¹³+ζ¹⁷−ζ⁴³	ζ¹⁴+ζ³¹	−ζ¹⁴+ζ¹⁶−ζ⁴⁴	−ζ¹⁶−ζ³¹+ζ⁴⁴	ζ⁴+ζ⁴¹	−ζ²⁶+ζ³⁴−ζ⁴¹	−ζ⁴+ζ²⁶−ζ³⁴	0
χ₂₃	2	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	−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	ζ¹²+ζ³³	ζ³+ζ⁴²	ζ²¹+ζ²⁴	ζ⁶+ζ³⁹	−ζ¹⁷−ζ³²+ζ⁴³	−ζ¹³+ζ¹⁷−ζ⁴³	ζ¹³+ζ³²	ζ⁷−ζ⁸−ζ²³	−ζ⁷+ζ⁸−ζ²²	ζ²²+ζ²³	−ζ²⁶+ζ³⁴−ζ⁴¹	−ζ⁴+ζ²⁶−ζ³⁴	ζ⁴+ζ⁴¹	−ζ¹⁴+ζ¹⁶−ζ⁴⁴	−ζ¹⁶−ζ³¹+ζ⁴⁴	ζ¹⁴+ζ³¹	0
χ₂₄	2	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	−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	ζ³+ζ⁴²	ζ¹²+ζ³³	ζ⁶+ζ³⁹	ζ²¹+ζ²⁴	ζ⁷−ζ⁸−ζ²³	−ζ⁷+ζ⁸−ζ²²	ζ²²+ζ²³	−ζ¹⁷−ζ³²+ζ⁴³	−ζ¹³+ζ¹⁷−ζ⁴³	ζ¹³+ζ³²	−ζ¹⁴+ζ¹⁶−ζ⁴⁴	−ζ¹⁶−ζ³¹+ζ⁴⁴	ζ¹⁴+ζ³¹	−ζ²⁶+ζ³⁴−ζ⁴¹	−ζ⁴+ζ²⁶−ζ³⁴	ζ⁴+ζ⁴¹	0

Character table — Group #776