Group #20258973 — character table

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χ₃	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	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	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	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	$i$	$- i$
χ₄	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	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	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	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	$- i$	$i$
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ζ¹¹⁰−ζ¹³⁴	ζ³⁴−ζ³⁸+ζ⁷⁰+ζ⁸⁶−ζ¹¹⁸+ζ¹²²	ζ²²−ζ⁵⁸+ζ⁷⁴+ζ⁸²−ζ⁹⁸+ζ¹³⁴	−ζ²+ζ¹⁰+ζ⁶²+ζ⁹⁴+ζ¹⁴⁶−ζ¹⁵⁴	ζ²+ζ⁵⁰−ζ⁶²−ζ⁹⁴+ζ¹⁰⁶+ζ¹⁵⁴	ζ¹⁴−ζ³⁴+ζ³⁸+ζ¹¹⁸−ζ¹²²+ζ¹⁴²	1	ζ¹⁴+ζ³⁸−ζ⁷⁰−ζ⁸⁶+ζ¹¹⁸+ζ¹⁴²	ζ¹⁰−ζ⁵⁰+ζ⁶²+ζ⁹⁴−ζ¹⁰⁶+ζ¹⁴⁶	ζ²²−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ¹¹⁰+ζ¹³⁴	−ζ¹⁴+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹²²−ζ¹⁴²	ζ⁴⁶+ζ⁵⁸−ζ⁷⁴−ζ⁸²+ζ⁹⁸+ζ¹¹⁰	−ζ²²+ζ⁴⁶+ζ⁵⁸+ζ⁹⁸+ζ¹¹⁰−ζ¹³⁴	ζ³⁴−ζ³⁸+ζ⁷⁰+ζ⁸⁶−ζ¹¹⁸+ζ¹²²	ζ²²−ζ⁵⁸+ζ⁷⁴+ζ⁸²−ζ⁹⁸+ζ¹³⁴	−ζ²+ζ¹⁰+ζ⁶²+ζ⁹⁴+ζ¹⁴⁶−ζ¹⁵⁴	ζ²+ζ⁵⁰−ζ⁶²−ζ⁹⁴+ζ¹⁰⁶+ζ¹⁵⁴	ζ¹⁴−ζ³⁴+ζ³⁸+ζ¹¹⁸−ζ¹²²+ζ¹⁴²	1	ζ¹⁴+ζ³⁸−ζ⁷⁰−ζ⁸⁶+ζ¹¹⁸+ζ¹⁴²	ζ²−ζ¹⁰+ζ⁵⁰+ζ¹⁰⁶−ζ¹⁴⁶+ζ¹⁵⁴	ζ²²−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ¹¹⁰+ζ¹³⁴	−ζ¹⁴+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹²²−ζ¹⁴²	ζ⁴⁶+ζ⁵⁸−ζ⁷⁴−ζ⁸²+ζ⁹⁸+ζ¹¹⁰	−ζ²²+ζ⁴⁶+ζ⁵⁸+ζ⁹⁸+ζ¹¹⁰−ζ¹³⁴	ζ³⁴−ζ³⁸+ζ⁷⁰+ζ⁸⁶−ζ¹¹⁸+ζ¹²²	ζ²²−ζ⁵⁸+ζ⁷⁴+ζ⁸²−ζ⁹⁸+ζ¹³⁴	−ζ²+ζ¹⁰+ζ⁶²+ζ⁹⁴+ζ¹⁴⁶−ζ¹⁵⁴	ζ²+ζ⁵⁰−ζ⁶²−ζ⁹⁴+ζ¹⁰⁶+ζ¹⁵⁴	ζ¹⁴−ζ³⁴+ζ³⁸+ζ¹¹⁸−ζ¹²²+ζ¹⁴²	1	ζ¹⁴+ζ³⁸−ζ⁷⁰−ζ⁸⁶+ζ¹¹⁸+ζ¹⁴²	ζ²−ζ¹⁰+ζ⁵⁰+ζ¹⁰⁶−ζ¹⁴⁶+ζ¹⁵⁴	ζ¹⁰−ζ⁵⁰+ζ⁶²+ζ⁹⁴−ζ¹⁰⁶+ζ¹⁴⁶	−ζ¹⁴+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹²²−ζ¹⁴²	ζ⁴⁶+ζ⁵⁸−ζ⁷⁴−ζ⁸²+ζ⁹⁸+ζ¹¹⁰	−ζ²²+ζ⁴⁶+ζ⁵⁸+ζ⁹⁸+ζ¹¹⁰−ζ¹³⁴	ζ³⁴−ζ³⁸+ζ⁷⁰+ζ⁸⁶−ζ¹¹⁸+ζ¹²²	ζ²²−ζ⁵⁸+ζ⁷⁴+ζ⁸²−ζ⁹⁸+ζ¹³⁴	−ζ²+ζ¹⁰+ζ⁶²+ζ⁹⁴+ζ¹⁴⁶−ζ¹⁵⁴	ζ²+ζ⁵⁰−ζ⁶²−ζ⁹⁴+ζ¹⁰⁶+ζ¹⁵⁴	ζ¹⁴−ζ³⁴+ζ³⁸+ζ¹¹⁸−ζ¹²²+ζ¹⁴²	1	ζ¹⁴+ζ³⁸−ζ⁷⁰−ζ⁸⁶+ζ¹¹⁸+ζ¹⁴²	ζ²−ζ¹⁰+ζ⁵⁰+ζ¹⁰⁶−ζ¹⁴⁶+ζ¹⁵⁴	ζ¹⁰−ζ⁵⁰+ζ⁶²+ζ⁹⁴−ζ¹⁰⁶+ζ¹⁴⁶	ζ²²−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ¹¹⁰+ζ¹³⁴	ζ⁴⁶+ζ⁵⁸−ζ⁷⁴−ζ⁸²+ζ⁹⁸+ζ¹¹⁰	−ζ²²+ζ⁴⁶+ζ⁵⁸+ζ⁹⁸+ζ¹¹⁰−ζ¹³⁴	ζ³⁴−ζ³⁸+ζ⁷⁰+ζ⁸⁶−ζ¹¹⁸+ζ¹²²	ζ²²−ζ⁵⁸+ζ⁷⁴+ζ⁸²−ζ⁹⁸+ζ¹³⁴	−ζ²+ζ¹⁰+ζ⁶²+ζ⁹⁴+ζ¹⁴⁶−ζ¹⁵⁴	ζ²+ζ⁵⁰−ζ⁶²−ζ⁹⁴+ζ¹⁰⁶+ζ¹⁵⁴	ζ¹⁴−ζ³⁴+ζ³⁸+ζ¹¹⁸−ζ¹²²+ζ¹⁴²	1	ζ¹⁴+ζ³⁸−ζ⁷⁰−ζ⁸⁶+ζ¹¹⁸+ζ¹⁴²	ζ²−ζ¹⁰+ζ⁵⁰+ζ¹⁰⁶−ζ¹⁴⁶+ζ¹⁵⁴	ζ¹⁰−ζ⁵⁰+ζ⁶²+ζ⁹⁴−ζ¹⁰⁶+ζ¹⁴⁶	ζ²²−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ¹¹⁰+ζ¹³⁴	−ζ¹⁴+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹²²−ζ¹⁴²	−ζ²²+ζ⁴⁶+ζ⁵⁸+ζ⁹⁸+ζ¹¹⁰−ζ¹³⁴	ζ³⁴−ζ³⁸+ζ⁷⁰+ζ⁸⁶−ζ¹¹⁸+ζ¹²²	ζ²²−ζ⁵⁸+ζ⁷⁴+ζ⁸²−ζ⁹⁸+ζ¹³⁴	−ζ²+ζ¹⁰+ζ⁶²+ζ⁹⁴+ζ¹⁴⁶−ζ¹⁵⁴	ζ²+ζ⁵⁰−ζ⁶²−ζ⁹⁴+ζ¹⁰⁶+ζ¹⁵⁴	ζ¹⁴−ζ³⁴+ζ³⁸+ζ¹¹⁸−ζ¹²²+ζ¹⁴²	1	ζ¹⁴+ζ³⁸−ζ⁷⁰−ζ⁸⁶+ζ¹¹⁸+ζ¹⁴²	ζ²−ζ¹⁰+ζ⁵⁰+ζ¹⁰⁶−ζ¹⁴⁶+ζ¹⁵⁴	ζ¹⁰−ζ⁵⁰+ζ⁶²+ζ⁹⁴−ζ¹⁰⁶+ζ¹⁴⁶	ζ²²−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ¹¹⁰+ζ¹³⁴	−ζ¹⁴+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹²²−ζ¹⁴²	ζ⁴⁶+ζ⁵⁸−ζ⁷⁴−ζ⁸²+ζ⁹⁸+ζ¹¹⁰	ζ³⁴−ζ³⁸+ζ⁷⁰+ζ⁸⁶−ζ¹¹⁸+ζ¹²²	ζ²²−ζ⁵⁸+ζ⁷⁴+ζ⁸²−ζ⁹⁸+ζ¹³⁴	−ζ²+ζ¹⁰+ζ⁶²+ζ⁹⁴+ζ¹⁴⁶−ζ¹⁵⁴	ζ²+ζ⁵⁰−ζ⁶²−ζ⁹⁴+ζ¹⁰⁶+ζ¹⁵⁴	ζ¹⁴−ζ³⁴+ζ³⁸+ζ¹¹⁸−ζ¹²²+ζ¹⁴²	1	ζ¹⁴+ζ³⁸−ζ⁷⁰−ζ⁸⁶+ζ¹¹⁸+ζ¹⁴²	ζ²−ζ¹⁰+ζ⁵⁰+ζ¹⁰⁶−ζ¹⁴⁶+ζ¹⁵⁴	ζ¹⁰−ζ⁵⁰+ζ⁶²+ζ⁹⁴−ζ¹⁰⁶+ζ¹⁴⁶	ζ²²−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ¹¹⁰+ζ¹³⁴	−ζ¹⁴+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹²²−ζ¹⁴²	ζ⁴⁶+ζ⁵⁸−ζ⁷⁴−ζ⁸²+ζ⁹⁸+ζ¹¹⁰	−ζ²²+ζ⁴⁶+ζ⁵⁸+ζ⁹⁸+ζ¹¹⁰−ζ¹³⁴	ζ²²−ζ⁵⁸+ζ⁷⁴+ζ⁸²−ζ⁹⁸+ζ¹³⁴	−ζ²+ζ¹⁰+ζ⁶²+ζ⁹⁴+ζ¹⁴⁶−ζ¹⁵⁴	ζ²+ζ⁵⁰−ζ⁶²−ζ⁹⁴+ζ¹⁰⁶+ζ¹⁵⁴	ζ¹⁴−ζ³⁴+ζ³⁸+ζ¹¹⁸−ζ¹²²+ζ¹⁴²	1	ζ¹⁴+ζ³⁸−ζ⁷⁰−ζ⁸⁶+ζ¹¹⁸+ζ¹⁴²	ζ²−ζ¹⁰+ζ⁵⁰+ζ¹⁰⁶−ζ¹⁴⁶+ζ¹⁵⁴	ζ¹⁰−ζ⁵⁰+ζ⁶²+ζ⁹⁴−ζ¹⁰⁶+ζ¹⁴⁶	ζ²²−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ¹¹⁰+ζ¹³⁴	−ζ¹⁴+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹²²−ζ¹⁴²	ζ⁴⁶+ζ⁵⁸−ζ⁷⁴−ζ⁸²+ζ⁹⁸+ζ¹¹⁰	−ζ²²+ζ⁴⁶+ζ⁵⁸+ζ⁹⁸+ζ¹¹⁰−ζ¹³⁴	ζ³⁴−ζ³⁸+ζ⁷⁰+ζ⁸⁶−ζ¹¹⁸+ζ¹²²	−ζ²+ζ¹⁰+ζ⁶²+ζ⁹⁴+ζ¹⁴⁶−ζ¹⁵⁴	ζ²+ζ⁵⁰−ζ⁶²−ζ⁹⁴+ζ¹⁰⁶+ζ¹⁵⁴	ζ¹⁴−ζ³⁴+ζ³⁸+ζ¹¹⁸−ζ¹²²+ζ¹⁴²	1	ζ¹⁴+ζ³⁸−ζ⁷⁰−ζ⁸⁶+ζ¹¹⁸+ζ¹⁴²	ζ²−ζ¹⁰+ζ⁵⁰+ζ¹⁰⁶−ζ¹⁴⁶+ζ¹⁵⁴	ζ¹⁰−ζ⁵⁰+ζ⁶²+ζ⁹⁴−ζ¹⁰⁶+ζ¹⁴⁶	ζ²²−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ¹¹⁰+ζ¹³⁴	−ζ¹⁴+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹²²−ζ¹⁴²	ζ⁴⁶+ζ⁵⁸−ζ⁷⁴−ζ⁸²+ζ⁹⁸+ζ¹¹⁰	−ζ²²+ζ⁴⁶+ζ⁵⁸+ζ⁹⁸+ζ¹¹⁰−ζ¹³⁴	ζ³⁴−ζ³⁸+ζ⁷⁰+ζ⁸⁶−ζ¹¹⁸+ζ¹²²	ζ²²−ζ⁵⁸+ζ⁷⁴+ζ⁸²−ζ⁹⁸+ζ¹³⁴	ζ²+ζ⁵⁰−ζ⁶²−ζ⁹⁴+ζ¹⁰⁶+ζ¹⁵⁴	ζ¹⁴−ζ³⁴+ζ³⁸+ζ¹¹⁸−ζ¹²²+ζ¹⁴²	1	ζ¹⁴+ζ³⁸−ζ⁷⁰−ζ⁸⁶+ζ¹¹⁸+ζ¹⁴²	ζ²−ζ¹⁰+ζ⁵⁰+ζ¹⁰⁶−ζ¹⁴⁶+ζ¹⁵⁴	ζ¹⁰−ζ⁵⁰+ζ⁶²+ζ⁹⁴−ζ¹⁰⁶+ζ¹⁴⁶	ζ²²−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ¹¹⁰+ζ¹³⁴	−ζ¹⁴+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹²²−ζ¹⁴²	ζ⁴⁶+ζ⁵⁸−ζ⁷⁴−ζ⁸²+ζ⁹⁸+ζ¹¹⁰	−ζ²²+ζ⁴⁶+ζ⁵⁸+ζ⁹⁸+ζ¹¹⁰−ζ¹³⁴	ζ³⁴−ζ³⁸+ζ⁷⁰+ζ⁸⁶−ζ¹¹⁸+ζ¹²²	ζ²²−ζ⁵⁸+ζ⁷⁴+ζ⁸²−ζ⁹⁸+ζ¹³⁴	−ζ²+ζ¹⁰+ζ⁶²+ζ⁹⁴+ζ¹⁴⁶−ζ¹⁵⁴	ζ¹⁴−ζ³⁴+ζ³⁸+ζ¹¹⁸−ζ¹²²+ζ¹⁴²	1	ζ¹⁴+ζ³⁸−ζ⁷⁰−ζ⁸⁶+ζ¹¹⁸+ζ¹⁴²	ζ²−ζ¹⁰+ζ⁵⁰+ζ¹⁰⁶−ζ¹⁴⁶+ζ¹⁵⁴	ζ¹⁰−ζ⁵⁰+ζ⁶²+ζ⁹⁴−ζ¹⁰⁶+ζ¹⁴⁶	ζ²²−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ¹¹⁰+ζ¹³⁴	−ζ¹⁴+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹²²−ζ¹⁴²	ζ⁴⁶+ζ⁵⁸−ζ⁷⁴−ζ⁸²+ζ⁹⁸+ζ¹¹⁰	−ζ²²+ζ⁴⁶+ζ⁵⁸+ζ⁹⁸+ζ¹¹⁰−ζ¹³⁴	ζ³⁴−ζ³⁸+ζ⁷⁰+ζ⁸⁶−ζ¹¹⁸+ζ¹²²	ζ²²−ζ⁵⁸+ζ⁷⁴+ζ⁸²−ζ⁹⁸+ζ¹³⁴	−ζ²+ζ¹⁰+ζ⁶²+ζ⁹⁴+ζ¹⁴⁶−ζ¹⁵⁴	ζ²+ζ⁵⁰−ζ⁶²−ζ⁹⁴+ζ¹⁰⁶+ζ¹⁵⁴	0	0	0

Here ζ is a primitive root of unity of order 156 (ζ¹⁵⁶ = 1); i = ζ³⁹.

Character table — Group #20258973