Group #67410 — 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	C₃₁	C₃₂	C₃₃	C₃₄	C₃₅	C₃₆	C₃₇	C₃₈	C₃₉	C₄₀	C₄₁	C₄₂	C₄₃	C₄₄	C₄₅	C₄₆	C₄₇	C₄₈	C₄₉	C₅₀	C₅₁	C₅₂	C₅₃	C₅₄	C₅₅	C₅₆	C₅₇	C₅₈	C₅₉	C₆₀	C₆₁	C₆₂	C₆₃	C₆₄	C₆₅	C₆₆	C₆₇	C₆₈	C₆₉	C₇₀	C₇₁	C₇₂	C₇₃	C₇₄	C₇₅	C₇₆	C₇₇	C₇₈	C₇₉	C₈₀	C₈₁	C₈₂	C₈₃	C₈₄	C₈₅	C₈₆	C₈₇	C₈₈	C₈₉	C₉₀	C₉₁	C₉₂	C₉₃	C₉₄	C₉₅	C₉₆	C₉₇	C₉₈	C₉₉	C₁₀₀	C₁₀₁	C₁₀₂	C₁₀₃	C₁₀₄	C₁₀₅	C₁₀₆	C₁₀₇	C₁₀₈	C₁₀₉	C₁₁₀
size	1	1	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	19	19	1	1	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	19	19	1	1	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	19	19	1	1	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	19	19	1	1	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	19	19
order	1	2	19	19	19	19	19	19	19	19	19	38	38	38	38	38	38	38	38	38	4	4	5	10	95	95	95	95	95	95	95	95	95	190	190	190	190	190	190	190	190	190	20	20	5	10	95	95	95	95	95	95	95	95	95	190	190	190	190	190	190	190	190	190	20	20	5	10	95	95	95	95	95	95	95	95	95	190	190	190	190	190	190	190	190	190	20	20	5	10	95	95	95	95	95	95	95	95	95	190	190	190	190	190	190	190	190	190	20	20
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	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	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	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	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	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	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	-1	$i$	$- i$	1	-1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$i$	$- i$	1	-1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$i$	$- i$	1	-1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$i$	$- i$	1	-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	-1	$- i$	$i$	1	-1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- i$	$i$	1	-1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- i$	$i$	1	-1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- i$	$i$	1	-1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- i$	$i$
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χ₁₁₀	2	-2	ζ⁶⁶+ζ⁸⁶+ζ¹⁴²+ζ¹⁶²+ζ²¹⁸+ζ²³⁸+ζ²⁹⁴+ζ³¹⁴	ζ³⁴+ζ⁴²+ζ¹¹⁸+ζ¹⁸⁶+ζ¹⁹⁴+ζ²⁶²+ζ³³⁸+ζ³⁴⁶	ζ¹⁸+ζ⁵⁸+ζ⁹⁴+ζ¹³⁴+ζ²⁴⁶+ζ²⁸⁶+ζ³²²+ζ³⁶²	ζ⁶+ζ⁸²+ζ¹⁴⁶+ζ¹⁵⁸+ζ²²²+ζ²³⁴+ζ²⁹⁸+ζ³⁷⁴	ζ⁴⁶+ζ¹⁰⁶+ζ¹²²+ζ¹⁸²+ζ¹⁹⁸+ζ²⁵⁸+ζ²⁷⁴+ζ³³⁴	ζ²²+ζ⁵⁴+ζ⁹⁸+ζ¹⁷⁴+ζ²⁰⁶+ζ²⁸²+ζ³²⁶+ζ³⁵⁸	ζ²+ζ⁷⁴+ζ⁷⁸+ζ¹⁵⁴+ζ²²⁶+ζ³⁰²+ζ³⁰⁶+ζ³⁷⁸	ζ²⁶+ζ¹⁰²+ζ¹²⁶+ζ¹⁷⁸+ζ²⁰²+ζ²⁵⁴+ζ²⁷⁸+ζ³⁵⁴	ζ¹⁴+ζ⁶²+ζ¹³⁸+ζ¹⁶⁶+ζ²¹⁴+ζ²⁴²+ζ³¹⁸+ζ³⁶⁶	−ζ⁶⁶−ζ⁸⁶−ζ¹⁴²−ζ¹⁶²−ζ²¹⁸−ζ²³⁸−ζ²⁹⁴−ζ³¹⁴	−ζ³⁴−ζ⁴²−ζ¹¹⁸−ζ¹⁸⁶−ζ¹⁹⁴−ζ²⁶²−ζ³³⁸−ζ³⁴⁶	−ζ¹⁸−ζ⁵⁸−ζ⁹⁴−ζ¹³⁴−ζ²⁴⁶−ζ²⁸⁶−ζ³²²−ζ³⁶²	−ζ⁶−ζ⁸²−ζ¹⁴⁶−ζ¹⁵⁸−ζ²²²−ζ²³⁴−ζ²⁹⁸−ζ³⁷⁴	−ζ⁴⁶−ζ¹⁰⁶−ζ¹²²−ζ¹⁸²−ζ¹⁹⁸−ζ²⁵⁸−ζ²⁷⁴−ζ³³⁴	−ζ²²−ζ⁵⁴−ζ⁹⁸−ζ¹⁷⁴−ζ²⁰⁶−ζ²⁸²−ζ³²⁶−ζ³⁵⁸	−ζ²−ζ⁷⁴−ζ⁷⁸−ζ¹⁵⁴−ζ²²⁶−ζ³⁰²−ζ³⁰⁶−ζ³⁷⁸	−ζ²⁶−ζ¹⁰²−ζ¹²⁶−ζ¹⁷⁸−ζ²⁰²−ζ²⁵⁴−ζ²⁷⁸−ζ³⁵⁴	−ζ¹⁴−ζ⁶²−ζ¹³⁸−ζ¹⁶⁶−ζ²¹⁴−ζ²⁴²−ζ³¹⁸−ζ³⁶⁶	0	0	2ζ¹⁴+2ζ³⁴+2ζ⁵⁴+2ζ⁷⁴+2ζ⁹⁴+2ζ¹³⁴+2ζ¹⁵⁴+2ζ¹⁷⁴+2ζ¹⁹⁴+2ζ²¹⁴+2ζ²³⁴+2ζ²⁵⁴+2ζ²⁷⁴+2ζ²⁹⁴+2ζ³¹⁴+2ζ³³⁴+2ζ³⁵⁴+2ζ³⁷⁴	−2ζ¹⁴−2ζ³⁴−2ζ⁵⁴−2ζ⁷⁴−2ζ⁹⁴−2ζ¹³⁴−2ζ¹⁵⁴−2ζ¹⁷⁴−2ζ¹⁹⁴−2ζ²¹⁴−2ζ²³⁴−2ζ²⁵⁴−2ζ²⁷⁴−2ζ²⁹⁴−2ζ³¹⁴−2ζ³³⁴−2ζ³⁵⁴−2ζ³⁷⁴	−ζ²⁹⁴−ζ³¹⁴	−ζ³⁴−ζ¹⁹⁴	−ζ⁹⁴−ζ¹³⁴	−ζ²³⁴−ζ³⁷⁴	−ζ²⁷⁴−ζ³³⁴	−ζ⁵⁴−ζ¹⁷⁴	−ζ⁷⁴−ζ¹⁵⁴	−ζ²⁵⁴−ζ³⁵⁴	−ζ¹⁴−ζ²¹⁴	ζ²⁹⁴+ζ³¹⁴	ζ³⁴+ζ¹⁹⁴	ζ⁹⁴+ζ¹³⁴	ζ²³⁴+ζ³⁷⁴	ζ²⁷⁴+ζ³³⁴	ζ⁵⁴+ζ¹⁷⁴	ζ⁷⁴+ζ¹⁵⁴	ζ²⁵⁴+ζ³⁵⁴	ζ¹⁴+ζ²¹⁴	0	0	2ζ¹⁸+2ζ⁵⁸+2ζ⁷⁸+2ζ⁹⁸+2ζ¹¹⁸+2ζ¹³⁸+2ζ¹⁵⁸+2ζ¹⁷⁸+2ζ¹⁹⁸+2ζ²¹⁸+2ζ²³⁸+2ζ²⁵⁸+2ζ²⁷⁸+2ζ²⁹⁸+2ζ³¹⁸+2ζ³³⁸+2ζ³⁵⁸+2ζ³⁷⁸	−2ζ¹⁸−2ζ⁵⁸−2ζ⁷⁸−2ζ⁹⁸−2ζ¹¹⁸−2ζ¹³⁸−2ζ¹⁵⁸−2ζ¹⁷⁸−2ζ¹⁹⁸−2ζ²¹⁸−2ζ²³⁸−2ζ²⁵⁸−2ζ²⁷⁸−2ζ²⁹⁸−2ζ³¹⁸−2ζ³³⁸−2ζ³⁵⁸−2ζ³⁷⁸	−ζ²¹⁸−ζ²³⁸	−ζ¹¹⁸−ζ³³⁸	−ζ¹⁸−ζ⁵⁸	−ζ¹⁵⁸−ζ²⁹⁸	−ζ¹⁹⁸−ζ²⁵⁸	−ζ⁹⁸−ζ³⁵⁸	−ζ⁷⁸−ζ³⁷⁸	−ζ¹⁷⁸−ζ²⁷⁸	−ζ¹³⁸−ζ³¹⁸	ζ²¹⁸+ζ²³⁸	ζ¹¹⁸+ζ³³⁸	ζ¹⁸+ζ⁵⁸	ζ¹⁵⁸+ζ²⁹⁸	ζ¹⁹⁸+ζ²⁵⁸	ζ⁹⁸+ζ³⁵⁸	ζ⁷⁸+ζ³⁷⁸	ζ¹⁷⁸+ζ²⁷⁸	ζ¹³⁸+ζ³¹⁸	0	0	2ζ²+2ζ²²+2ζ⁴²+2ζ⁶²+2ζ⁸²+2ζ¹⁰²+2ζ¹²²+2ζ¹⁴²+2ζ¹⁶²+2ζ¹⁸²+2ζ²⁰²+2ζ²²²+2ζ²⁴²+2ζ²⁶²+2ζ²⁸²+2ζ³⁰²+2ζ³²²+2ζ³⁶²	−2ζ²−2ζ²²−2ζ⁴²−2ζ⁶²−2ζ⁸²−2ζ¹⁰²−2ζ¹²²−2ζ¹⁴²−2ζ¹⁶²−2ζ¹⁸²−2ζ²⁰²−2ζ²²²−2ζ²⁴²−2ζ²⁶²−2ζ²⁸²−2ζ³⁰²−2ζ³²²−2ζ³⁶²	−ζ¹⁴²−ζ¹⁶²	−ζ⁴²−ζ²⁶²	−ζ³²²−ζ³⁶²	−ζ⁸²−ζ²²²	−ζ¹²²−ζ¹⁸²	−ζ²²−ζ²⁸²	−ζ²−ζ³⁰²	−ζ¹⁰²−ζ²⁰²	−ζ⁶²−ζ²⁴²	ζ¹⁴²+ζ¹⁶²	ζ⁴²+ζ²⁶²	ζ³²²+ζ³⁶²	ζ⁸²+ζ²²²	ζ¹²²+ζ¹⁸²	ζ²²+ζ²⁸²	ζ²+ζ³⁰²	ζ¹⁰²+ζ²⁰²	ζ⁶²+ζ²⁴²	0	0	2ζ⁶+2ζ²⁶+2ζ⁴⁶+2ζ⁶⁶+2ζ⁸⁶+2ζ¹⁰⁶+2ζ¹²⁶+2ζ¹⁴⁶+2ζ¹⁶⁶+2ζ¹⁸⁶+2ζ²⁰⁶+2ζ²²⁶+2ζ²⁴⁶+2ζ²⁸⁶+2ζ³⁰⁶+2ζ³²⁶+2ζ³⁴⁶+2ζ³⁶⁶	−2ζ⁶−2ζ²⁶−2ζ⁴⁶−2ζ⁶⁶−2ζ⁸⁶−2ζ¹⁰⁶−2ζ¹²⁶−2ζ¹⁴⁶−2ζ¹⁶⁶−2ζ¹⁸⁶−2ζ²⁰⁶−2ζ²²⁶−2ζ²⁴⁶−2ζ²⁸⁶−2ζ³⁰⁶−2ζ³²⁶−2ζ³⁴⁶−2ζ³⁶⁶	−ζ⁶⁶−ζ⁸⁶	−ζ¹⁸⁶−ζ³⁴⁶	−ζ²⁴⁶−ζ²⁸⁶	−ζ⁶−ζ¹⁴⁶	−ζ⁴⁶−ζ¹⁰⁶	−ζ²⁰⁶−ζ³²⁶	−ζ²²⁶−ζ³⁰⁶	−ζ²⁶−ζ¹²⁶	−ζ¹⁶⁶−ζ³⁶⁶	ζ⁶⁶+ζ⁸⁶	ζ¹⁸⁶+ζ³⁴⁶	ζ²⁴⁶+ζ²⁸⁶	ζ⁶+ζ¹⁴⁶	ζ⁴⁶+ζ¹⁰⁶	ζ²⁰⁶+ζ³²⁶	ζ²²⁶+ζ³⁰⁶	ζ²⁶+ζ¹²⁶	ζ¹⁶⁶+ζ³⁶⁶	0	0

Here ζ is a primitive root of unity of order 380 (ζ³⁸⁰ = 1); i = ζ⁹⁵.

Character table — Group #67410