Group #774 — 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	C₂₉	C₃₀
size	1	2	2	2	2	9	1	2	2	2	2	9	1	2	2	2	2	9	1	2	2	2	2	9	1	2	2	2	2	9
order	1	3	9	9	9	2	5	15	45	45	45	10	5	15	45	45	45	10	5	15	45	45	45	10	5	15	45	45	45	10
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	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	1	-1
χ₃	2	2	-1	-1	-1	0	2	2	-1	-1	-1	0	2	2	-1	-1	-1	0	2	2	-1	-1	-1	0	2	2	-1	-1	-1	0
χ₄	2	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	0	2	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	0	2	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	0	2	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	0	2	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	0
χ₅	2	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	0	2	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	0	2	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	0	2	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	0	2	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	0
χ₆	2	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	0	2	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	0	2	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	0	2	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	0	2	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	0
χ₇	1	1	1	1	1	1	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹
χ₈	1	1	1	1	1	-1	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	ζ²⁴+ζ³⁹	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	ζ³+ζ³³	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	ζ¹²+ζ⁴²	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	ζ⁶+ζ²¹
χ₉	2	2	-1	-1	-1	0	−2ζ²⁴−2ζ³⁹	−2ζ²⁴−2ζ³⁹	ζ²⁴+ζ³⁹	ζ²⁴+ζ³⁹	ζ²⁴+ζ³⁹	0	−2ζ³−2ζ³³	−2ζ³−2ζ³³	ζ³+ζ³³	ζ³+ζ³³	ζ³+ζ³³	0	−2ζ¹²−2ζ⁴²	−2ζ¹²−2ζ⁴²	ζ¹²+ζ⁴²	ζ¹²+ζ⁴²	ζ¹²+ζ⁴²	0	−2ζ⁶−2ζ²¹	−2ζ⁶−2ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	0
χ₁₀	2	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	0	−2ζ²⁴−2ζ³⁹	ζ²⁴+ζ³⁹	ζ⁴+ζ¹⁴	−ζ⁴−ζ³⁴+ζ⁴⁴	−ζ¹⁴+ζ³⁴−ζ⁴⁴	0	−2ζ³−2ζ³³	ζ³+ζ³³	ζ¹³+ζ²³	ζ⁸−ζ¹³−ζ⁴³	−ζ⁸−ζ²³+ζ⁴³	0	−2ζ¹²−2ζ⁴²	ζ¹²+ζ⁴²	ζ²²+ζ³²	−ζ⁷+ζ¹⁷−ζ²²	ζ⁷−ζ¹⁷−ζ³²	0	−2ζ⁶−2ζ²¹	ζ⁶+ζ²¹	ζ³¹+ζ⁴¹	−ζ¹⁶+ζ²⁶−ζ³¹	ζ¹⁶−ζ²⁶−ζ⁴¹	0
χ₁₁	2	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	0	−2ζ²⁴−2ζ³⁹	ζ²⁴+ζ³⁹	−ζ⁴−ζ³⁴+ζ⁴⁴	−ζ¹⁴+ζ³⁴−ζ⁴⁴	ζ⁴+ζ¹⁴	0	−2ζ³−2ζ³³	ζ³+ζ³³	ζ⁸−ζ¹³−ζ⁴³	−ζ⁸−ζ²³+ζ⁴³	ζ¹³+ζ²³	0	−2ζ¹²−2ζ⁴²	ζ¹²+ζ⁴²	−ζ⁷+ζ¹⁷−ζ²²	ζ⁷−ζ¹⁷−ζ³²	ζ²²+ζ³²	0	−2ζ⁶−2ζ²¹	ζ⁶+ζ²¹	−ζ¹⁶+ζ²⁶−ζ³¹	ζ¹⁶−ζ²⁶−ζ⁴¹	ζ³¹+ζ⁴¹	0
χ₁₂	2	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	0	−2ζ²⁴−2ζ³⁹	ζ²⁴+ζ³⁹	−ζ¹⁴+ζ³⁴−ζ⁴⁴	ζ⁴+ζ¹⁴	−ζ⁴−ζ³⁴+ζ⁴⁴	0	−2ζ³−2ζ³³	ζ³+ζ³³	−ζ⁸−ζ²³+ζ⁴³	ζ¹³+ζ²³	ζ⁸−ζ¹³−ζ⁴³	0	−2ζ¹²−2ζ⁴²	ζ¹²+ζ⁴²	ζ⁷−ζ¹⁷−ζ³²	ζ²²+ζ³²	−ζ⁷+ζ¹⁷−ζ²²	0	−2ζ⁶−2ζ²¹	ζ⁶+ζ²¹	ζ¹⁶−ζ²⁶−ζ⁴¹	ζ³¹+ζ⁴¹	−ζ¹⁶+ζ²⁶−ζ³¹	0
χ₁₃	1	1	1	1	1	1	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²
χ₁₄	1	1	1	1	1	-1	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	ζ³+ζ³³	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	ζ⁶+ζ²¹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	ζ²⁴+ζ³⁹	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	ζ¹²+ζ⁴²
χ₁₅	2	2	-1	-1	-1	0	−2ζ³−2ζ³³	−2ζ³−2ζ³³	ζ³+ζ³³	ζ³+ζ³³	ζ³+ζ³³	0	−2ζ⁶−2ζ²¹	−2ζ⁶−2ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	0	−2ζ²⁴−2ζ³⁹	−2ζ²⁴−2ζ³⁹	ζ²⁴+ζ³⁹	ζ²⁴+ζ³⁹	ζ²⁴+ζ³⁹	0	−2ζ¹²−2ζ⁴²	−2ζ¹²−2ζ⁴²	ζ¹²+ζ⁴²	ζ¹²+ζ⁴²	ζ¹²+ζ⁴²	0
χ₁₆	2	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	0	−2ζ³−2ζ³³	ζ³+ζ³³	ζ¹³+ζ²³	ζ⁸−ζ¹³−ζ⁴³	−ζ⁸−ζ²³+ζ⁴³	0	−2ζ⁶−2ζ²¹	ζ⁶+ζ²¹	ζ³¹+ζ⁴¹	−ζ¹⁶+ζ²⁶−ζ³¹	ζ¹⁶−ζ²⁶−ζ⁴¹	0	−2ζ²⁴−2ζ³⁹	ζ²⁴+ζ³⁹	ζ⁴+ζ¹⁴	−ζ⁴−ζ³⁴+ζ⁴⁴	−ζ¹⁴+ζ³⁴−ζ⁴⁴	0	−2ζ¹²−2ζ⁴²	ζ¹²+ζ⁴²	ζ²²+ζ³²	−ζ⁷+ζ¹⁷−ζ²²	ζ⁷−ζ¹⁷−ζ³²	0
χ₁₇	2	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	0	−2ζ³−2ζ³³	ζ³+ζ³³	ζ⁸−ζ¹³−ζ⁴³	−ζ⁸−ζ²³+ζ⁴³	ζ¹³+ζ²³	0	−2ζ⁶−2ζ²¹	ζ⁶+ζ²¹	−ζ¹⁶+ζ²⁶−ζ³¹	ζ¹⁶−ζ²⁶−ζ⁴¹	ζ³¹+ζ⁴¹	0	−2ζ²⁴−2ζ³⁹	ζ²⁴+ζ³⁹	−ζ⁴−ζ³⁴+ζ⁴⁴	−ζ¹⁴+ζ³⁴−ζ⁴⁴	ζ⁴+ζ¹⁴	0	−2ζ¹²−2ζ⁴²	ζ¹²+ζ⁴²	−ζ⁷+ζ¹⁷−ζ²²	ζ⁷−ζ¹⁷−ζ³²	ζ²²+ζ³²	0
χ₁₈	2	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	0	−2ζ³−2ζ³³	ζ³+ζ³³	−ζ⁸−ζ²³+ζ⁴³	ζ¹³+ζ²³	ζ⁸−ζ¹³−ζ⁴³	0	−2ζ⁶−2ζ²¹	ζ⁶+ζ²¹	ζ¹⁶−ζ²⁶−ζ⁴¹	ζ³¹+ζ⁴¹	−ζ¹⁶+ζ²⁶−ζ³¹	0	−2ζ²⁴−2ζ³⁹	ζ²⁴+ζ³⁹	−ζ¹⁴+ζ³⁴−ζ⁴⁴	ζ⁴+ζ¹⁴	−ζ⁴−ζ³⁴+ζ⁴⁴	0	−2ζ¹²−2ζ⁴²	ζ¹²+ζ⁴²	ζ⁷−ζ¹⁷−ζ³²	ζ²²+ζ³²	−ζ⁷+ζ¹⁷−ζ²²	0
χ₁₉	1	1	1	1	1	1	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³
χ₂₀	1	1	1	1	1	-1	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	ζ¹²+ζ⁴²	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	ζ²⁴+ζ³⁹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	ζ⁶+ζ²¹	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	ζ³+ζ³³
χ₂₁	2	2	-1	-1	-1	0	−2ζ¹²−2ζ⁴²	−2ζ¹²−2ζ⁴²	ζ¹²+ζ⁴²	ζ¹²+ζ⁴²	ζ¹²+ζ⁴²	0	−2ζ²⁴−2ζ³⁹	−2ζ²⁴−2ζ³⁹	ζ²⁴+ζ³⁹	ζ²⁴+ζ³⁹	ζ²⁴+ζ³⁹	0	−2ζ⁶−2ζ²¹	−2ζ⁶−2ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	0	−2ζ³−2ζ³³	−2ζ³−2ζ³³	ζ³+ζ³³	ζ³+ζ³³	ζ³+ζ³³	0
χ₂₂	2	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	0	−2ζ¹²−2ζ⁴²	ζ¹²+ζ⁴²	ζ²²+ζ³²	−ζ⁷+ζ¹⁷−ζ²²	ζ⁷−ζ¹⁷−ζ³²	0	−2ζ²⁴−2ζ³⁹	ζ²⁴+ζ³⁹	ζ⁴+ζ¹⁴	−ζ⁴−ζ³⁴+ζ⁴⁴	−ζ¹⁴+ζ³⁴−ζ⁴⁴	0	−2ζ⁶−2ζ²¹	ζ⁶+ζ²¹	ζ³¹+ζ⁴¹	−ζ¹⁶+ζ²⁶−ζ³¹	ζ¹⁶−ζ²⁶−ζ⁴¹	0	−2ζ³−2ζ³³	ζ³+ζ³³	ζ¹³+ζ²³	ζ⁸−ζ¹³−ζ⁴³	−ζ⁸−ζ²³+ζ⁴³	0
χ₂₃	2	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	0	−2ζ¹²−2ζ⁴²	ζ¹²+ζ⁴²	−ζ⁷+ζ¹⁷−ζ²²	ζ⁷−ζ¹⁷−ζ³²	ζ²²+ζ³²	0	−2ζ²⁴−2ζ³⁹	ζ²⁴+ζ³⁹	−ζ⁴−ζ³⁴+ζ⁴⁴	−ζ¹⁴+ζ³⁴−ζ⁴⁴	ζ⁴+ζ¹⁴	0	−2ζ⁶−2ζ²¹	ζ⁶+ζ²¹	−ζ¹⁶+ζ²⁶−ζ³¹	ζ¹⁶−ζ²⁶−ζ⁴¹	ζ³¹+ζ⁴¹	0	−2ζ³−2ζ³³	ζ³+ζ³³	ζ⁸−ζ¹³−ζ⁴³	−ζ⁸−ζ²³+ζ⁴³	ζ¹³+ζ²³	0
χ₂₄	2	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	0	−2ζ¹²−2ζ⁴²	ζ¹²+ζ⁴²	ζ⁷−ζ¹⁷−ζ³²	ζ²²+ζ³²	−ζ⁷+ζ¹⁷−ζ²²	0	−2ζ²⁴−2ζ³⁹	ζ²⁴+ζ³⁹	−ζ¹⁴+ζ³⁴−ζ⁴⁴	ζ⁴+ζ¹⁴	−ζ⁴−ζ³⁴+ζ⁴⁴	0	−2ζ⁶−2ζ²¹	ζ⁶+ζ²¹	ζ¹⁶−ζ²⁶−ζ⁴¹	ζ³¹+ζ⁴¹	−ζ¹⁶+ζ²⁶−ζ³¹	0	−2ζ³−2ζ³³	ζ³+ζ³³	−ζ⁸−ζ²³+ζ⁴³	ζ¹³+ζ²³	ζ⁸−ζ¹³−ζ⁴³	0
χ₂₅	1	1	1	1	1	1	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹
χ₂₆	1	1	1	1	1	-1	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	−ζ⁶−ζ²¹	ζ⁶+ζ²¹	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	−ζ¹²−ζ⁴²	ζ¹²+ζ⁴²	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	−ζ³−ζ³³	ζ³+ζ³³	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	−ζ²⁴−ζ³⁹	ζ²⁴+ζ³⁹
χ₂₇	2	2	-1	-1	-1	0	−2ζ⁶−2ζ²¹	−2ζ⁶−2ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	0	−2ζ¹²−2ζ⁴²	−2ζ¹²−2ζ⁴²	ζ¹²+ζ⁴²	ζ¹²+ζ⁴²	ζ¹²+ζ⁴²	0	−2ζ³−2ζ³³	−2ζ³−2ζ³³	ζ³+ζ³³	ζ³+ζ³³	ζ³+ζ³³	0	−2ζ²⁴−2ζ³⁹	−2ζ²⁴−2ζ³⁹	ζ²⁴+ζ³⁹	ζ²⁴+ζ³⁹	ζ²⁴+ζ³⁹	0
χ₂₈	2	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	0	−2ζ⁶−2ζ²¹	ζ⁶+ζ²¹	ζ³¹+ζ⁴¹	−ζ¹⁶+ζ²⁶−ζ³¹	ζ¹⁶−ζ²⁶−ζ⁴¹	0	−2ζ¹²−2ζ⁴²	ζ¹²+ζ⁴²	ζ²²+ζ³²	−ζ⁷+ζ¹⁷−ζ²²	ζ⁷−ζ¹⁷−ζ³²	0	−2ζ³−2ζ³³	ζ³+ζ³³	ζ¹³+ζ²³	ζ⁸−ζ¹³−ζ⁴³	−ζ⁸−ζ²³+ζ⁴³	0	−2ζ²⁴−2ζ³⁹	ζ²⁴+ζ³⁹	ζ⁴+ζ¹⁴	−ζ⁴−ζ³⁴+ζ⁴⁴	−ζ¹⁴+ζ³⁴−ζ⁴⁴	0
χ₂₉	2	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	0	−2ζ⁶−2ζ²¹	ζ⁶+ζ²¹	−ζ¹⁶+ζ²⁶−ζ³¹	ζ¹⁶−ζ²⁶−ζ⁴¹	ζ³¹+ζ⁴¹	0	−2ζ¹²−2ζ⁴²	ζ¹²+ζ⁴²	−ζ⁷+ζ¹⁷−ζ²²	ζ⁷−ζ¹⁷−ζ³²	ζ²²+ζ³²	0	−2ζ³−2ζ³³	ζ³+ζ³³	ζ⁸−ζ¹³−ζ⁴³	−ζ⁸−ζ²³+ζ⁴³	ζ¹³+ζ²³	0	−2ζ²⁴−2ζ³⁹	ζ²⁴+ζ³⁹	−ζ⁴−ζ³⁴+ζ⁴⁴	−ζ¹⁴+ζ³⁴−ζ⁴⁴	ζ⁴+ζ¹⁴	0
χ₃₀	2	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	0	−2ζ⁶−2ζ²¹	ζ⁶+ζ²¹	ζ¹⁶−ζ²⁶−ζ⁴¹	ζ³¹+ζ⁴¹	−ζ¹⁶+ζ²⁶−ζ³¹	0	−2ζ¹²−2ζ⁴²	ζ¹²+ζ⁴²	ζ⁷−ζ¹⁷−ζ³²	ζ²²+ζ³²	−ζ⁷+ζ¹⁷−ζ²²	0	−2ζ³−2ζ³³	ζ³+ζ³³	−ζ⁸−ζ²³+ζ⁴³	ζ¹³+ζ²³	ζ⁸−ζ¹³−ζ⁴³	0	−2ζ²⁴−2ζ³⁹	ζ²⁴+ζ³⁹	−ζ¹⁴+ζ³⁴−ζ⁴⁴	ζ⁴+ζ¹⁴	−ζ⁴−ζ³⁴+ζ⁴⁴	0

Character table — Group #774