Group #4361 — character table

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁
size	1	2	2	2	2	4	4	4	4	4	4	4	4	4	5	10	10	10	10	45	45
order	1	3	9	9	9	5	15	15	45	45	45	45	45	45	2	6	18	18	18	4	4
χ₁	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
χ₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	$i$	$- i$
χ₄	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	$- i$	$i$
χ₅	2	2	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	0	0
χ₆	2	2	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-2	-2	1	1	1	0	0
χ₇	2	-1	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	2	-1	-1	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	2	-1	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	0	0
χ₈	2	-1	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	2	-1	-1	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	-2	1	ζ¹⁴+ζ²⁶−ζ³⁴+ζ⁶²+ζ⁸⁶+ζ⁹⁸−ζ¹⁰⁶+ζ¹²²+ζ¹³⁴−ζ¹⁴²+ζ¹⁵⁸−ζ¹⁷⁸	ζ²²−ζ²⁶+ζ³⁴+ζ⁵⁸−ζ⁶²+ζ⁹⁴−ζ⁹⁸+ζ¹⁰⁶−ζ¹³⁴+ζ¹⁴²+ζ¹⁶⁶+ζ¹⁷⁸	−ζ¹⁴−ζ²²−ζ⁵⁸−ζ⁸⁶−ζ⁹⁴−ζ¹²²−ζ¹⁵⁸−ζ¹⁶⁶	0	0
χ₉	2	-1	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	2	-1	-1	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	2	-1	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	0	0
χ₁₀	2	-1	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	2	-1	-1	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	-2	1	ζ²²−ζ²⁶+ζ³⁴+ζ⁵⁸−ζ⁶²+ζ⁹⁴−ζ⁹⁸+ζ¹⁰⁶−ζ¹³⁴+ζ¹⁴²+ζ¹⁶⁶+ζ¹⁷⁸	−ζ¹⁴−ζ²²−ζ⁵⁸−ζ⁸⁶−ζ⁹⁴−ζ¹²²−ζ¹⁵⁸−ζ¹⁶⁶	ζ¹⁴+ζ²⁶−ζ³⁴+ζ⁶²+ζ⁸⁶+ζ⁹⁸−ζ¹⁰⁶+ζ¹²²+ζ¹³⁴−ζ¹⁴²+ζ¹⁵⁸−ζ¹⁷⁸	0	0
χ₁₁	2	-1	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	2	-1	-1	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	2	-1	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	0	0
χ₁₂	2	-1	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	2	-1	-1	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	ζ¹⁴+ζ²²+ζ⁵⁸+ζ⁸⁶+ζ⁹⁴+ζ¹²²+ζ¹⁵⁸+ζ¹⁶⁶	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	−ζ¹⁴−ζ²⁶+ζ³⁴−ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹⁰⁶−ζ¹²²−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁸	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	−ζ²²+ζ²⁶−ζ³⁴−ζ⁵⁸+ζ⁶²−ζ⁹⁴+ζ⁹⁸−ζ¹⁰⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁸	-2	1	−ζ¹⁴−ζ²²−ζ⁵⁸−ζ⁸⁶−ζ⁹⁴−ζ¹²²−ζ¹⁵⁸−ζ¹⁶⁶	ζ¹⁴+ζ²⁶−ζ³⁴+ζ⁶²+ζ⁸⁶+ζ⁹⁸−ζ¹⁰⁶+ζ¹²²+ζ¹³⁴−ζ¹⁴²+ζ¹⁵⁸−ζ¹⁷⁸	ζ²²−ζ²⁶+ζ³⁴+ζ⁵⁸−ζ⁶²+ζ⁹⁴−ζ⁹⁸+ζ¹⁰⁶−ζ¹³⁴+ζ¹⁴²+ζ¹⁶⁶+ζ¹⁷⁸	0	0
χ₁₃	4	4	4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0
χ₁₄	4	4	-2	-2	-2	-1	-1	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0
χ₁₅	4	4	-2	-2	-2	-1	-1	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0
χ₁₆	4	-2	−2ζ¹⁴−2ζ²⁶+2ζ³⁴−2ζ⁶²−2ζ⁸⁶−2ζ⁹⁸+2ζ¹⁰⁶−2ζ¹²²−2ζ¹³⁴+2ζ¹⁴²−2ζ¹⁵⁸+2ζ¹⁷⁸	−2ζ²²+2ζ²⁶−2ζ³⁴−2ζ⁵⁸+2ζ⁶²−2ζ⁹⁴+2ζ⁹⁸−2ζ¹⁰⁶+2ζ¹³⁴−2ζ¹⁴²−2ζ¹⁶⁶−2ζ¹⁷⁸	2ζ¹⁴+2ζ²²+2ζ⁵⁸+2ζ⁸⁶+2ζ⁹⁴+2ζ¹²²+2ζ¹⁵⁸+2ζ¹⁶⁶	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	−ζ³⁴+ζ⁶²+ζ⁹⁸−ζ¹⁰⁶+ζ¹²²+ζ¹⁵⁸	ζ¹⁴+ζ²⁶+ζ⁸⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁷⁸	ζ³⁴−ζ⁶²+ζ⁹⁴−ζ⁹⁸+ζ¹⁰⁶+ζ¹⁶⁶	ζ²²−ζ²⁶+ζ⁵⁸−ζ¹³⁴+ζ¹⁴²+ζ¹⁷⁸	−ζ⁹⁴−ζ¹²²−ζ¹⁵⁸−ζ¹⁶⁶	−ζ¹⁴−ζ²²−ζ⁵⁸−ζ⁸⁶	0	0	0	0	0	0	0
χ₁₇	4	-2	−2ζ¹⁴−2ζ²⁶+2ζ³⁴−2ζ⁶²−2ζ⁸⁶−2ζ⁹⁸+2ζ¹⁰⁶−2ζ¹²²−2ζ¹³⁴+2ζ¹⁴²−2ζ¹⁵⁸+2ζ¹⁷⁸	−2ζ²²+2ζ²⁶−2ζ³⁴−2ζ⁵⁸+2ζ⁶²−2ζ⁹⁴+2ζ⁹⁸−2ζ¹⁰⁶+2ζ¹³⁴−2ζ¹⁴²−2ζ¹⁶⁶−2ζ¹⁷⁸	2ζ¹⁴+2ζ²²+2ζ⁵⁸+2ζ⁸⁶+2ζ⁹⁴+2ζ¹²²+2ζ¹⁵⁸+2ζ¹⁶⁶	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	ζ¹⁴+ζ²⁶+ζ⁸⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁷⁸	−ζ³⁴+ζ⁶²+ζ⁹⁸−ζ¹⁰⁶+ζ¹²²+ζ¹⁵⁸	ζ²²−ζ²⁶+ζ⁵⁸−ζ¹³⁴+ζ¹⁴²+ζ¹⁷⁸	ζ³⁴−ζ⁶²+ζ⁹⁴−ζ⁹⁸+ζ¹⁰⁶+ζ¹⁶⁶	−ζ¹⁴−ζ²²−ζ⁵⁸−ζ⁸⁶	−ζ⁹⁴−ζ¹²²−ζ¹⁵⁸−ζ¹⁶⁶	0	0	0	0	0	0	0
χ₁₈	4	-2	−2ζ²²+2ζ²⁶−2ζ³⁴−2ζ⁵⁸+2ζ⁶²−2ζ⁹⁴+2ζ⁹⁸−2ζ¹⁰⁶+2ζ¹³⁴−2ζ¹⁴²−2ζ¹⁶⁶−2ζ¹⁷⁸	2ζ¹⁴+2ζ²²+2ζ⁵⁸+2ζ⁸⁶+2ζ⁹⁴+2ζ¹²²+2ζ¹⁵⁸+2ζ¹⁶⁶	−2ζ¹⁴−2ζ²⁶+2ζ³⁴−2ζ⁶²−2ζ⁸⁶−2ζ⁹⁸+2ζ¹⁰⁶−2ζ¹²²−2ζ¹³⁴+2ζ¹⁴²−2ζ¹⁵⁸+2ζ¹⁷⁸	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	ζ³⁴−ζ⁶²+ζ⁹⁴−ζ⁹⁸+ζ¹⁰⁶+ζ¹⁶⁶	ζ²²−ζ²⁶+ζ⁵⁸−ζ¹³⁴+ζ¹⁴²+ζ¹⁷⁸	−ζ⁹⁴−ζ¹²²−ζ¹⁵⁸−ζ¹⁶⁶	−ζ¹⁴−ζ²²−ζ⁵⁸−ζ⁸⁶	−ζ³⁴+ζ⁶²+ζ⁹⁸−ζ¹⁰⁶+ζ¹²²+ζ¹⁵⁸	ζ¹⁴+ζ²⁶+ζ⁸⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁷⁸	0	0	0	0	0	0	0
χ₁₉	4	-2	−2ζ²²+2ζ²⁶−2ζ³⁴−2ζ⁵⁸+2ζ⁶²−2ζ⁹⁴+2ζ⁹⁸−2ζ¹⁰⁶+2ζ¹³⁴−2ζ¹⁴²−2ζ¹⁶⁶−2ζ¹⁷⁸	2ζ¹⁴+2ζ²²+2ζ⁵⁸+2ζ⁸⁶+2ζ⁹⁴+2ζ¹²²+2ζ¹⁵⁸+2ζ¹⁶⁶	−2ζ¹⁴−2ζ²⁶+2ζ³⁴−2ζ⁶²−2ζ⁸⁶−2ζ⁹⁸+2ζ¹⁰⁶−2ζ¹²²−2ζ¹³⁴+2ζ¹⁴²−2ζ¹⁵⁸+2ζ¹⁷⁸	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	ζ²²−ζ²⁶+ζ⁵⁸−ζ¹³⁴+ζ¹⁴²+ζ¹⁷⁸	ζ³⁴−ζ⁶²+ζ⁹⁴−ζ⁹⁸+ζ¹⁰⁶+ζ¹⁶⁶	−ζ¹⁴−ζ²²−ζ⁵⁸−ζ⁸⁶	−ζ⁹⁴−ζ¹²²−ζ¹⁵⁸−ζ¹⁶⁶	ζ¹⁴+ζ²⁶+ζ⁸⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁷⁸	−ζ³⁴+ζ⁶²+ζ⁹⁸−ζ¹⁰⁶+ζ¹²²+ζ¹⁵⁸	0	0	0	0	0	0	0
χ₂₀	4	-2	2ζ¹⁴+2ζ²²+2ζ⁵⁸+2ζ⁸⁶+2ζ⁹⁴+2ζ¹²²+2ζ¹⁵⁸+2ζ¹⁶⁶	−2ζ¹⁴−2ζ²⁶+2ζ³⁴−2ζ⁶²−2ζ⁸⁶−2ζ⁹⁸+2ζ¹⁰⁶−2ζ¹²²−2ζ¹³⁴+2ζ¹⁴²−2ζ¹⁵⁸+2ζ¹⁷⁸	−2ζ²²+2ζ²⁶−2ζ³⁴−2ζ⁵⁸+2ζ⁶²−2ζ⁹⁴+2ζ⁹⁸−2ζ¹⁰⁶+2ζ¹³⁴−2ζ¹⁴²−2ζ¹⁶⁶−2ζ¹⁷⁸	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	−ζ⁹⁴−ζ¹²²−ζ¹⁵⁸−ζ¹⁶⁶	−ζ¹⁴−ζ²²−ζ⁵⁸−ζ⁸⁶	−ζ³⁴+ζ⁶²+ζ⁹⁸−ζ¹⁰⁶+ζ¹²²+ζ¹⁵⁸	ζ¹⁴+ζ²⁶+ζ⁸⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁷⁸	ζ³⁴−ζ⁶²+ζ⁹⁴−ζ⁹⁸+ζ¹⁰⁶+ζ¹⁶⁶	ζ²²−ζ²⁶+ζ⁵⁸−ζ¹³⁴+ζ¹⁴²+ζ¹⁷⁸	0	0	0	0	0	0	0
χ₂₁	4	-2	2ζ¹⁴+2ζ²²+2ζ⁵⁸+2ζ⁸⁶+2ζ⁹⁴+2ζ¹²²+2ζ¹⁵⁸+2ζ¹⁶⁶	−2ζ¹⁴−2ζ²⁶+2ζ³⁴−2ζ⁶²−2ζ⁸⁶−2ζ⁹⁸+2ζ¹⁰⁶−2ζ¹²²−2ζ¹³⁴+2ζ¹⁴²−2ζ¹⁵⁸+2ζ¹⁷⁸	−2ζ²²+2ζ²⁶−2ζ³⁴−2ζ⁵⁸+2ζ⁶²−2ζ⁹⁴+2ζ⁹⁸−2ζ¹⁰⁶+2ζ¹³⁴−2ζ¹⁴²−2ζ¹⁶⁶−2ζ¹⁷⁸	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	−ζ¹⁴−ζ²²−ζ⁵⁸−ζ⁸⁶	−ζ⁹⁴−ζ¹²²−ζ¹⁵⁸−ζ¹⁶⁶	ζ¹⁴+ζ²⁶+ζ⁸⁶+ζ¹³⁴−ζ¹⁴²−ζ¹⁷⁸	−ζ³⁴+ζ⁶²+ζ⁹⁸−ζ¹⁰⁶+ζ¹²²+ζ¹⁵⁸	ζ²²−ζ²⁶+ζ⁵⁸−ζ¹³⁴+ζ¹⁴²+ζ¹⁷⁸	ζ³⁴−ζ⁶²+ζ⁹⁴−ζ⁹⁸+ζ¹⁰⁶+ζ¹⁶⁶	0	0	0	0	0	0	0

Here ζ is a primitive root of unity of order 180 (ζ¹⁸⁰ = 1); i = ζ⁴⁵.

Character table — Group #4361