Group #64569 — 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
size	1	1	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	77	77
order	1	2	7	7	7	11	11	11	11	11	14	14	14	22	22	22	22	22	77	77	77	77	77	77	77	77	77	77	77	77	77	77	77	77	77	77	77	77	77	77	77	77	77	77	77	77	77	77	154	154	154	154	154	154	154	154	154	154	154	154	154	154	154	154	154	154	154	154	154	154	154	154	154	154	154	154	154	154	4	4
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
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
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	$i$	$- i$
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	$- i$	$i$
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χ₈₀	2	-2	ζ⁶+ζ³⁴+ζ⁵⁰+ζ⁶²+ζ⁷⁸+ζ⁹⁰+ζ¹⁰⁶+ζ¹¹⁸+ζ¹³⁴+ζ¹⁴⁶+ζ¹⁶²+ζ¹⁷⁴+ζ¹⁹⁰+ζ²⁰²+ζ²¹⁸+ζ²³⁰+ζ²⁴⁶+ζ²⁵⁸+ζ²⁷⁴+ζ³⁰²	ζ²+ζ²⁶+ζ³⁰+ζ⁵⁴+ζ⁵⁸+ζ⁸²+ζ⁸⁶+ζ¹¹⁴+ζ¹³⁸+ζ¹⁴²+ζ¹⁶⁶+ζ¹⁷⁰+ζ¹⁹⁴+ζ²²²+ζ²²⁶+ζ²⁵⁰+ζ²⁵⁴+ζ²⁷⁸+ζ²⁸²+ζ³⁰⁶	ζ¹⁰+ζ¹⁸+ζ³⁸+ζ⁴⁶+ζ⁷⁴+ζ⁹⁴+ζ¹⁰²+ζ¹²²+ζ¹³⁰+ζ¹⁵⁰+ζ¹⁵⁸+ζ¹⁷⁸+ζ¹⁸⁶+ζ²⁰⁶+ζ²¹⁴+ζ²³⁴+ζ²⁶²+ζ²⁷⁰+ζ²⁹⁰+ζ²⁹⁸	ζ⁶+ζ³⁸+ζ⁵⁰+ζ⁸²+ζ⁹⁴+ζ¹³⁸+ζ¹⁷⁰+ζ²¹⁴+ζ²²⁶+ζ²⁵⁸+ζ²⁷⁰+ζ³⁰²	ζ³⁰+ζ⁵⁸+ζ⁷⁴+ζ¹⁰²+ζ¹¹⁸+ζ¹⁴⁶+ζ¹⁶²+ζ¹⁹⁰+ζ²⁰⁶+ζ²³⁴+ζ²⁵⁰+ζ²⁷⁸	ζ¹⁰+ζ³⁴+ζ⁵⁴+ζ⁷⁸+ζ¹²²+ζ¹⁴²+ζ¹⁶⁶+ζ¹⁸⁶+ζ²³⁰+ζ²⁵⁴+ζ²⁷⁴+ζ²⁹⁸	ζ²+ζ⁴⁶+ζ⁸⁶+ζ⁹⁰+ζ¹³⁰+ζ¹³⁴+ζ¹⁷⁴+ζ¹⁷⁸+ζ²¹⁸+ζ²²²+ζ²⁶²+ζ³⁰⁶	ζ¹⁸+ζ²⁶+ζ⁶²+ζ¹⁰⁶+ζ¹¹⁴+ζ¹⁵⁰+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰²+ζ²⁴⁶+ζ²⁸²+ζ²⁹⁰	−ζ⁶−ζ³⁴−ζ⁵⁰−ζ⁶²−ζ⁷⁸−ζ⁹⁰−ζ¹⁰⁶−ζ¹¹⁸−ζ¹³⁴−ζ¹⁴⁶−ζ¹⁶²−ζ¹⁷⁴−ζ¹⁹⁰−ζ²⁰²−ζ²¹⁸−ζ²³⁰−ζ²⁴⁶−ζ²⁵⁸−ζ²⁷⁴−ζ³⁰²	−ζ²−ζ²⁶−ζ³⁰−ζ⁵⁴−ζ⁵⁸−ζ⁸²−ζ⁸⁶−ζ¹¹⁴−ζ¹³⁸−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁷⁰−ζ¹⁹⁴−ζ²²²−ζ²²⁶−ζ²⁵⁰−ζ²⁵⁴−ζ²⁷⁸−ζ²⁸²−ζ³⁰⁶	−ζ¹⁰−ζ¹⁸−ζ³⁸−ζ⁴⁶−ζ⁷⁴−ζ⁹⁴−ζ¹⁰²−ζ¹²²−ζ¹³⁰−ζ¹⁵⁰−ζ¹⁵⁸−ζ¹⁷⁸−ζ¹⁸⁶−ζ²⁰⁶−ζ²¹⁴−ζ²³⁴−ζ²⁶²−ζ²⁷⁰−ζ²⁹⁰−ζ²⁹⁸	−ζ⁶−ζ³⁸−ζ⁵⁰−ζ⁸²−ζ⁹⁴−ζ¹³⁸−ζ¹⁷⁰−ζ²¹⁴−ζ²²⁶−ζ²⁵⁸−ζ²⁷⁰−ζ³⁰²	−ζ³⁰−ζ⁵⁸−ζ⁷⁴−ζ¹⁰²−ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶²−ζ¹⁹⁰−ζ²⁰⁶−ζ²³⁴−ζ²⁵⁰−ζ²⁷⁸	−ζ¹⁰−ζ³⁴−ζ⁵⁴−ζ⁷⁸−ζ¹²²−ζ¹⁴²−ζ¹⁶⁶−ζ¹⁸⁶−ζ²³⁰−ζ²⁵⁴−ζ²⁷⁴−ζ²⁹⁸	−ζ²−ζ⁴⁶−ζ⁸⁶−ζ⁹⁰−ζ¹³⁰−ζ¹³⁴−ζ¹⁷⁴−ζ¹⁷⁸−ζ²¹⁸−ζ²²²−ζ²⁶²−ζ³⁰⁶	−ζ¹⁸−ζ²⁶−ζ⁶²−ζ¹⁰⁶−ζ¹¹⁴−ζ¹⁵⁰−ζ¹⁵⁸−ζ¹⁹⁴−ζ²⁰²−ζ²⁴⁶−ζ²⁸²−ζ²⁹⁰	−ζ⁶−ζ³⁰²	−ζ⁵⁰−ζ²⁵⁸	−ζ⁸²−ζ²²⁶	−ζ¹³⁸−ζ¹⁷⁰	−ζ⁹⁴−ζ²¹⁴	−ζ³⁸−ζ²⁷⁰	−ζ¹¹⁸−ζ¹⁹⁰	−ζ¹⁴⁶−ζ¹⁶²	−ζ⁵⁸−ζ²⁵⁰	−ζ³⁰−ζ²⁷⁸	−ζ¹⁰²−ζ²⁰⁶	−ζ⁷⁴−ζ²³⁴	−ζ⁷⁸−ζ²³⁰	−ζ³⁴−ζ²⁷⁴	−ζ¹⁴²−ζ¹⁶⁶	−ζ⁵⁴−ζ²⁵⁴	−ζ¹²²−ζ¹⁸⁶	−ζ¹⁰−ζ²⁹⁸	−ζ⁹⁰−ζ²¹⁸	−ζ¹³⁴−ζ¹⁷⁴	−ζ⁸⁶−ζ²²²	−ζ²−ζ³⁰⁶	−ζ¹³⁰−ζ¹⁷⁸	−ζ⁴⁶−ζ²⁶²	−ζ¹⁰⁶−ζ²⁰²	−ζ⁶²−ζ²⁴⁶	−ζ²⁶−ζ²⁸²	−ζ¹¹⁴−ζ¹⁹⁴	−ζ¹⁸−ζ²⁹⁰	−ζ¹⁵⁰−ζ¹⁵⁸	ζ⁶+ζ³⁰²	ζ⁵⁰+ζ²⁵⁸	ζ⁸²+ζ²²⁶	ζ¹³⁸+ζ¹⁷⁰	ζ⁹⁴+ζ²¹⁴	ζ³⁸+ζ²⁷⁰	ζ¹¹⁸+ζ¹⁹⁰	ζ¹⁴⁶+ζ¹⁶²	ζ⁵⁸+ζ²⁵⁰	ζ³⁰+ζ²⁷⁸	ζ¹⁰²+ζ²⁰⁶	ζ⁷⁴+ζ²³⁴	ζ⁷⁸+ζ²³⁰	ζ³⁴+ζ²⁷⁴	ζ¹⁴²+ζ¹⁶⁶	ζ⁵⁴+ζ²⁵⁴	ζ¹²²+ζ¹⁸⁶	ζ¹⁰+ζ²⁹⁸	ζ⁹⁰+ζ²¹⁸	ζ¹³⁴+ζ¹⁷⁴	ζ⁸⁶+ζ²²²	ζ²+ζ³⁰⁶	ζ¹³⁰+ζ¹⁷⁸	ζ⁴⁶+ζ²⁶²	ζ¹⁰⁶+ζ²⁰²	ζ⁶²+ζ²⁴⁶	ζ²⁶+ζ²⁸²	ζ¹¹⁴+ζ¹⁹⁴	ζ¹⁸+ζ²⁹⁰	ζ¹⁵⁰+ζ¹⁵⁸	0	0

Here ζ is a primitive root of unity of order 308 (ζ³⁰⁸ = 1); i = ζ⁷⁷.

Character table — Group #64569