Group #6076 — 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
size	1	4	4	4	4	17	17	17	1	4	4	4	4	17	17	17	1	4	4	4	4	17	17	17
order	1	17	17	17	17	2	4	4	3	51	51	51	51	6	12	12	3	51	51	51	51	6	12	12
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
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
χ₃	1	1	1	1	1	-1	$i$	$- i$	1	1	1	1	1	-1	$i$	$- i$	1	1	1	1	1	-1	$i$	$- i$
χ₄	1	1	1	1	1	-1	$- i$	$i$	1	1	1	1	1	-1	$- i$	$i$	1	1	1	1	1	-1	$- i$	$i$
χ₅	4	ζ¹⁴+ζ²²+ζ⁴⁶+ζ⁸²+ζ¹²²+ζ¹⁵⁸+ζ¹⁸²+ζ¹⁹⁰	ζ³⁸+ζ⁵⁰+ζ⁸⁶+ζ⁹⁸+ζ¹⁰⁶+ζ¹¹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²+ζ²⁶+ζ⁷⁰+ζ⁹⁴+ζ¹¹⁰+ζ¹³⁴+ζ¹⁷⁸+ζ²⁰²	ζ¹⁰+ζ⁵⁸+ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ¹⁴²+ζ¹⁴⁶+ζ¹⁹⁴	0	0	0	4	ζ¹⁴+ζ²²+ζ⁴⁶+ζ⁸²+ζ¹²²+ζ¹⁵⁸+ζ¹⁸²+ζ¹⁹⁰	ζ³⁸+ζ⁵⁰+ζ⁸⁶+ζ⁹⁸+ζ¹⁰⁶+ζ¹¹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²+ζ²⁶+ζ⁷⁰+ζ⁹⁴+ζ¹¹⁰+ζ¹³⁴+ζ¹⁷⁸+ζ²⁰²	ζ¹⁰+ζ⁵⁸+ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ¹⁴²+ζ¹⁴⁶+ζ¹⁹⁴	0	0	0	4	ζ¹⁴+ζ²²+ζ⁴⁶+ζ⁸²+ζ¹²²+ζ¹⁵⁸+ζ¹⁸²+ζ¹⁹⁰	ζ³⁸+ζ⁵⁰+ζ⁸⁶+ζ⁹⁸+ζ¹⁰⁶+ζ¹¹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²+ζ²⁶+ζ⁷⁰+ζ⁹⁴+ζ¹¹⁰+ζ¹³⁴+ζ¹⁷⁸+ζ²⁰²	ζ¹⁰+ζ⁵⁸+ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ¹⁴²+ζ¹⁴⁶+ζ¹⁹⁴	0	0	0
χ₆	4	ζ³⁸+ζ⁵⁰+ζ⁸⁶+ζ⁹⁸+ζ¹⁰⁶+ζ¹¹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ¹⁰+ζ⁵⁸+ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ¹⁴²+ζ¹⁴⁶+ζ¹⁹⁴	ζ¹⁴+ζ²²+ζ⁴⁶+ζ⁸²+ζ¹²²+ζ¹⁵⁸+ζ¹⁸²+ζ¹⁹⁰	ζ²+ζ²⁶+ζ⁷⁰+ζ⁹⁴+ζ¹¹⁰+ζ¹³⁴+ζ¹⁷⁸+ζ²⁰²	0	0	0	4	ζ³⁸+ζ⁵⁰+ζ⁸⁶+ζ⁹⁸+ζ¹⁰⁶+ζ¹¹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ¹⁰+ζ⁵⁸+ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ¹⁴²+ζ¹⁴⁶+ζ¹⁹⁴	ζ¹⁴+ζ²²+ζ⁴⁶+ζ⁸²+ζ¹²²+ζ¹⁵⁸+ζ¹⁸²+ζ¹⁹⁰	ζ²+ζ²⁶+ζ⁷⁰+ζ⁹⁴+ζ¹¹⁰+ζ¹³⁴+ζ¹⁷⁸+ζ²⁰²	0	0	0	4	ζ³⁸+ζ⁵⁰+ζ⁸⁶+ζ⁹⁸+ζ¹⁰⁶+ζ¹¹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ¹⁰+ζ⁵⁸+ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ¹⁴²+ζ¹⁴⁶+ζ¹⁹⁴	ζ¹⁴+ζ²²+ζ⁴⁶+ζ⁸²+ζ¹²²+ζ¹⁵⁸+ζ¹⁸²+ζ¹⁹⁰	ζ²+ζ²⁶+ζ⁷⁰+ζ⁹⁴+ζ¹¹⁰+ζ¹³⁴+ζ¹⁷⁸+ζ²⁰²	0	0	0
χ₇	4	ζ²+ζ²⁶+ζ⁷⁰+ζ⁹⁴+ζ¹¹⁰+ζ¹³⁴+ζ¹⁷⁸+ζ²⁰²	ζ¹⁴+ζ²²+ζ⁴⁶+ζ⁸²+ζ¹²²+ζ¹⁵⁸+ζ¹⁸²+ζ¹⁹⁰	ζ¹⁰+ζ⁵⁸+ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ¹⁴²+ζ¹⁴⁶+ζ¹⁹⁴	ζ³⁸+ζ⁵⁰+ζ⁸⁶+ζ⁹⁸+ζ¹⁰⁶+ζ¹¹⁸+ζ¹⁵⁴+ζ¹⁶⁶	0	0	0	4	ζ²+ζ²⁶+ζ⁷⁰+ζ⁹⁴+ζ¹¹⁰+ζ¹³⁴+ζ¹⁷⁸+ζ²⁰²	ζ¹⁴+ζ²²+ζ⁴⁶+ζ⁸²+ζ¹²²+ζ¹⁵⁸+ζ¹⁸²+ζ¹⁹⁰	ζ¹⁰+ζ⁵⁸+ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ¹⁴²+ζ¹⁴⁶+ζ¹⁹⁴	ζ³⁸+ζ⁵⁰+ζ⁸⁶+ζ⁹⁸+ζ¹⁰⁶+ζ¹¹⁸+ζ¹⁵⁴+ζ¹⁶⁶	0	0	0	4	ζ²+ζ²⁶+ζ⁷⁰+ζ⁹⁴+ζ¹¹⁰+ζ¹³⁴+ζ¹⁷⁸+ζ²⁰²	ζ¹⁴+ζ²²+ζ⁴⁶+ζ⁸²+ζ¹²²+ζ¹⁵⁸+ζ¹⁸²+ζ¹⁹⁰	ζ¹⁰+ζ⁵⁸+ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ¹⁴²+ζ¹⁴⁶+ζ¹⁹⁴	ζ³⁸+ζ⁵⁰+ζ⁸⁶+ζ⁹⁸+ζ¹⁰⁶+ζ¹¹⁸+ζ¹⁵⁴+ζ¹⁶⁶	0	0	0
χ₈	4	ζ¹⁰+ζ⁵⁸+ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ¹⁴²+ζ¹⁴⁶+ζ¹⁹⁴	ζ²+ζ²⁶+ζ⁷⁰+ζ⁹⁴+ζ¹¹⁰+ζ¹³⁴+ζ¹⁷⁸+ζ²⁰²	ζ³⁸+ζ⁵⁰+ζ⁸⁶+ζ⁹⁸+ζ¹⁰⁶+ζ¹¹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ¹⁴+ζ²²+ζ⁴⁶+ζ⁸²+ζ¹²²+ζ¹⁵⁸+ζ¹⁸²+ζ¹⁹⁰	0	0	0	4	ζ¹⁰+ζ⁵⁸+ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ¹⁴²+ζ¹⁴⁶+ζ¹⁹⁴	ζ²+ζ²⁶+ζ⁷⁰+ζ⁹⁴+ζ¹¹⁰+ζ¹³⁴+ζ¹⁷⁸+ζ²⁰²	ζ³⁸+ζ⁵⁰+ζ⁸⁶+ζ⁹⁸+ζ¹⁰⁶+ζ¹¹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ¹⁴+ζ²²+ζ⁴⁶+ζ⁸²+ζ¹²²+ζ¹⁵⁸+ζ¹⁸²+ζ¹⁹⁰	0	0	0	4	ζ¹⁰+ζ⁵⁸+ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ¹⁴²+ζ¹⁴⁶+ζ¹⁹⁴	ζ²+ζ²⁶+ζ⁷⁰+ζ⁹⁴+ζ¹¹⁰+ζ¹³⁴+ζ¹⁷⁸+ζ²⁰²	ζ³⁸+ζ⁵⁰+ζ⁸⁶+ζ⁹⁸+ζ¹⁰⁶+ζ¹¹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ¹⁴+ζ²²+ζ⁴⁶+ζ⁸²+ζ¹²²+ζ¹⁵⁸+ζ¹⁸²+ζ¹⁹⁰	0	0	0
χ₉	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₁₀	1	1	1	1	1	1	-1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₁₁	1	1	1	1	1	-1	$i$	$- i$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	−ζ¹¹−ζ²³−ζ³⁵−ζ⁴⁷−ζ⁵⁹−ζ⁷¹−ζ⁸³−ζ⁹⁵−ζ¹⁰⁷−ζ¹³¹−ζ¹⁴³−ζ¹⁵⁵−ζ¹⁶⁷−ζ¹⁷⁹−ζ¹⁹¹−ζ²⁰³	ζ¹¹+ζ²³+ζ³⁵+ζ⁴⁷+ζ⁵⁹+ζ⁷¹+ζ⁸³+ζ⁹⁵+ζ¹⁰⁷+ζ¹³¹+ζ¹⁴³+ζ¹⁵⁵+ζ¹⁶⁷+ζ¹⁷⁹+ζ¹⁹¹+ζ²⁰³	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	−ζ⁷−ζ¹⁹−ζ³¹−ζ⁴³−ζ⁵⁵−ζ⁶⁷−ζ⁷⁹−ζ⁹¹−ζ¹⁰³−ζ¹¹⁵−ζ¹²⁷−ζ¹³⁹−ζ¹⁵¹−ζ¹⁶³−ζ¹⁷⁵−ζ¹⁹⁹	ζ⁷+ζ¹⁹+ζ³¹+ζ⁴³+ζ⁵⁵+ζ⁶⁷+ζ⁷⁹+ζ⁹¹+ζ¹⁰³+ζ¹¹⁵+ζ¹²⁷+ζ¹³⁹+ζ¹⁵¹+ζ¹⁶³+ζ¹⁷⁵+ζ¹⁹⁹
χ₁₂	1	1	1	1	1	-1	$- i$	$i$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	ζ¹¹+ζ²³+ζ³⁵+ζ⁴⁷+ζ⁵⁹+ζ⁷¹+ζ⁸³+ζ⁹⁵+ζ¹⁰⁷+ζ¹³¹+ζ¹⁴³+ζ¹⁵⁵+ζ¹⁶⁷+ζ¹⁷⁹+ζ¹⁹¹+ζ²⁰³	−ζ¹¹−ζ²³−ζ³⁵−ζ⁴⁷−ζ⁵⁹−ζ⁷¹−ζ⁸³−ζ⁹⁵−ζ¹⁰⁷−ζ¹³¹−ζ¹⁴³−ζ¹⁵⁵−ζ¹⁶⁷−ζ¹⁷⁹−ζ¹⁹¹−ζ²⁰³	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	ζ⁷+ζ¹⁹+ζ³¹+ζ⁴³+ζ⁵⁵+ζ⁶⁷+ζ⁷⁹+ζ⁹¹+ζ¹⁰³+ζ¹¹⁵+ζ¹²⁷+ζ¹³⁹+ζ¹⁵¹+ζ¹⁶³+ζ¹⁷⁵+ζ¹⁹⁹	−ζ⁷−ζ¹⁹−ζ³¹−ζ⁴³−ζ⁵⁵−ζ⁶⁷−ζ⁷⁹−ζ⁹¹−ζ¹⁰³−ζ¹¹⁵−ζ¹²⁷−ζ¹³⁹−ζ¹⁵¹−ζ¹⁶³−ζ¹⁷⁵−ζ¹⁹⁹
χ₁₃	4	ζ¹⁴+ζ²²+ζ⁴⁶+ζ⁸²+ζ¹²²+ζ¹⁵⁸+ζ¹⁸²+ζ¹⁹⁰	ζ³⁸+ζ⁵⁰+ζ⁸⁶+ζ⁹⁸+ζ¹⁰⁶+ζ¹¹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²+ζ²⁶+ζ⁷⁰+ζ⁹⁴+ζ¹¹⁰+ζ¹³⁴+ζ¹⁷⁸+ζ²⁰²	ζ¹⁰+ζ⁵⁸+ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ¹⁴²+ζ¹⁴⁶+ζ¹⁹⁴	0	0	0	$- 2 + 2 i \sqrt{3}$	−ζ¹⁴−ζ¹²²−ζ¹⁵⁸−ζ¹⁸²	−ζ³⁸−ζ⁵⁰−ζ⁸⁶−ζ⁹⁸	−ζ²−ζ²⁶−ζ¹¹⁰−ζ¹³⁴	−ζ⁶²−ζ⁷⁴−ζ¹⁴⁶−ζ¹⁹⁴	0	0	0	$- 2 - 2 i \sqrt{3}$	−ζ²²−ζ⁴⁶−ζ⁸²−ζ¹⁹⁰	−ζ¹⁰⁶−ζ¹¹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ⁷⁰−ζ⁹⁴−ζ¹⁷⁸−ζ²⁰²	−ζ¹⁰−ζ⁵⁸−ζ¹³⁰−ζ¹⁴²	0	0	0
χ₁₄	4	ζ³⁸+ζ⁵⁰+ζ⁸⁶+ζ⁹⁸+ζ¹⁰⁶+ζ¹¹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ¹⁰+ζ⁵⁸+ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ¹⁴²+ζ¹⁴⁶+ζ¹⁹⁴	ζ¹⁴+ζ²²+ζ⁴⁶+ζ⁸²+ζ¹²²+ζ¹⁵⁸+ζ¹⁸²+ζ¹⁹⁰	ζ²+ζ²⁶+ζ⁷⁰+ζ⁹⁴+ζ¹¹⁰+ζ¹³⁴+ζ¹⁷⁸+ζ²⁰²	0	0	0	$- 2 + 2 i \sqrt{3}$	−ζ³⁸−ζ⁵⁰−ζ⁸⁶−ζ⁹⁸	−ζ⁶²−ζ⁷⁴−ζ¹⁴⁶−ζ¹⁹⁴	−ζ¹⁴−ζ¹²²−ζ¹⁵⁸−ζ¹⁸²	−ζ²−ζ²⁶−ζ¹¹⁰−ζ¹³⁴	0	0	0	$- 2 - 2 i \sqrt{3}$	−ζ¹⁰⁶−ζ¹¹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ¹⁰−ζ⁵⁸−ζ¹³⁰−ζ¹⁴²	−ζ²²−ζ⁴⁶−ζ⁸²−ζ¹⁹⁰	−ζ⁷⁰−ζ⁹⁴−ζ¹⁷⁸−ζ²⁰²	0	0	0
χ₁₅	4	ζ²+ζ²⁶+ζ⁷⁰+ζ⁹⁴+ζ¹¹⁰+ζ¹³⁴+ζ¹⁷⁸+ζ²⁰²	ζ¹⁴+ζ²²+ζ⁴⁶+ζ⁸²+ζ¹²²+ζ¹⁵⁸+ζ¹⁸²+ζ¹⁹⁰	ζ¹⁰+ζ⁵⁸+ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ¹⁴²+ζ¹⁴⁶+ζ¹⁹⁴	ζ³⁸+ζ⁵⁰+ζ⁸⁶+ζ⁹⁸+ζ¹⁰⁶+ζ¹¹⁸+ζ¹⁵⁴+ζ¹⁶⁶	0	0	0	$- 2 + 2 i \sqrt{3}$	−ζ²−ζ²⁶−ζ¹¹⁰−ζ¹³⁴	−ζ¹⁴−ζ¹²²−ζ¹⁵⁸−ζ¹⁸²	−ζ⁶²−ζ⁷⁴−ζ¹⁴⁶−ζ¹⁹⁴	−ζ³⁸−ζ⁵⁰−ζ⁸⁶−ζ⁹⁸	0	0	0	$- 2 - 2 i \sqrt{3}$	−ζ⁷⁰−ζ⁹⁴−ζ¹⁷⁸−ζ²⁰²	−ζ²²−ζ⁴⁶−ζ⁸²−ζ¹⁹⁰	−ζ¹⁰−ζ⁵⁸−ζ¹³⁰−ζ¹⁴²	−ζ¹⁰⁶−ζ¹¹⁸−ζ¹⁵⁴−ζ¹⁶⁶	0	0	0
χ₁₆	4	ζ¹⁰+ζ⁵⁸+ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ¹⁴²+ζ¹⁴⁶+ζ¹⁹⁴	ζ²+ζ²⁶+ζ⁷⁰+ζ⁹⁴+ζ¹¹⁰+ζ¹³⁴+ζ¹⁷⁸+ζ²⁰²	ζ³⁸+ζ⁵⁰+ζ⁸⁶+ζ⁹⁸+ζ¹⁰⁶+ζ¹¹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ¹⁴+ζ²²+ζ⁴⁶+ζ⁸²+ζ¹²²+ζ¹⁵⁸+ζ¹⁸²+ζ¹⁹⁰	0	0	0	$- 2 + 2 i \sqrt{3}$	−ζ⁶²−ζ⁷⁴−ζ¹⁴⁶−ζ¹⁹⁴	−ζ²−ζ²⁶−ζ¹¹⁰−ζ¹³⁴	−ζ³⁸−ζ⁵⁰−ζ⁸⁶−ζ⁹⁸	−ζ¹⁴−ζ¹²²−ζ¹⁵⁸−ζ¹⁸²	0	0	0	$- 2 - 2 i \sqrt{3}$	−ζ¹⁰−ζ⁵⁸−ζ¹³⁰−ζ¹⁴²	−ζ⁷⁰−ζ⁹⁴−ζ¹⁷⁸−ζ²⁰²	−ζ¹⁰⁶−ζ¹¹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ²²−ζ⁴⁶−ζ⁸²−ζ¹⁹⁰	0	0	0
χ₁₇	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₁₈	1	1	1	1	1	1	-1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₁₉	1	1	1	1	1	-1	$i$	$- i$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	−ζ⁷−ζ¹⁹−ζ³¹−ζ⁴³−ζ⁵⁵−ζ⁶⁷−ζ⁷⁹−ζ⁹¹−ζ¹⁰³−ζ¹¹⁵−ζ¹²⁷−ζ¹³⁹−ζ¹⁵¹−ζ¹⁶³−ζ¹⁷⁵−ζ¹⁹⁹	ζ⁷+ζ¹⁹+ζ³¹+ζ⁴³+ζ⁵⁵+ζ⁶⁷+ζ⁷⁹+ζ⁹¹+ζ¹⁰³+ζ¹¹⁵+ζ¹²⁷+ζ¹³⁹+ζ¹⁵¹+ζ¹⁶³+ζ¹⁷⁵+ζ¹⁹⁹	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	−ζ¹¹−ζ²³−ζ³⁵−ζ⁴⁷−ζ⁵⁹−ζ⁷¹−ζ⁸³−ζ⁹⁵−ζ¹⁰⁷−ζ¹³¹−ζ¹⁴³−ζ¹⁵⁵−ζ¹⁶⁷−ζ¹⁷⁹−ζ¹⁹¹−ζ²⁰³	ζ¹¹+ζ²³+ζ³⁵+ζ⁴⁷+ζ⁵⁹+ζ⁷¹+ζ⁸³+ζ⁹⁵+ζ¹⁰⁷+ζ¹³¹+ζ¹⁴³+ζ¹⁵⁵+ζ¹⁶⁷+ζ¹⁷⁹+ζ¹⁹¹+ζ²⁰³
χ₂₀	1	1	1	1	1	-1	$- i$	$i$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	ζ⁷+ζ¹⁹+ζ³¹+ζ⁴³+ζ⁵⁵+ζ⁶⁷+ζ⁷⁹+ζ⁹¹+ζ¹⁰³+ζ¹¹⁵+ζ¹²⁷+ζ¹³⁹+ζ¹⁵¹+ζ¹⁶³+ζ¹⁷⁵+ζ¹⁹⁹	−ζ⁷−ζ¹⁹−ζ³¹−ζ⁴³−ζ⁵⁵−ζ⁶⁷−ζ⁷⁹−ζ⁹¹−ζ¹⁰³−ζ¹¹⁵−ζ¹²⁷−ζ¹³⁹−ζ¹⁵¹−ζ¹⁶³−ζ¹⁷⁵−ζ¹⁹⁹	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	ζ¹¹+ζ²³+ζ³⁵+ζ⁴⁷+ζ⁵⁹+ζ⁷¹+ζ⁸³+ζ⁹⁵+ζ¹⁰⁷+ζ¹³¹+ζ¹⁴³+ζ¹⁵⁵+ζ¹⁶⁷+ζ¹⁷⁹+ζ¹⁹¹+ζ²⁰³	−ζ¹¹−ζ²³−ζ³⁵−ζ⁴⁷−ζ⁵⁹−ζ⁷¹−ζ⁸³−ζ⁹⁵−ζ¹⁰⁷−ζ¹³¹−ζ¹⁴³−ζ¹⁵⁵−ζ¹⁶⁷−ζ¹⁷⁹−ζ¹⁹¹−ζ²⁰³
χ₂₁	4	ζ¹⁴+ζ²²+ζ⁴⁶+ζ⁸²+ζ¹²²+ζ¹⁵⁸+ζ¹⁸²+ζ¹⁹⁰	ζ³⁸+ζ⁵⁰+ζ⁸⁶+ζ⁹⁸+ζ¹⁰⁶+ζ¹¹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²+ζ²⁶+ζ⁷⁰+ζ⁹⁴+ζ¹¹⁰+ζ¹³⁴+ζ¹⁷⁸+ζ²⁰²	ζ¹⁰+ζ⁵⁸+ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ¹⁴²+ζ¹⁴⁶+ζ¹⁹⁴	0	0	0	$- 2 - 2 i \sqrt{3}$	−ζ²²−ζ⁴⁶−ζ⁸²−ζ¹⁹⁰	−ζ¹⁰⁶−ζ¹¹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ⁷⁰−ζ⁹⁴−ζ¹⁷⁸−ζ²⁰²	−ζ¹⁰−ζ⁵⁸−ζ¹³⁰−ζ¹⁴²	0	0	0	$- 2 + 2 i \sqrt{3}$	−ζ¹⁴−ζ¹²²−ζ¹⁵⁸−ζ¹⁸²	−ζ³⁸−ζ⁵⁰−ζ⁸⁶−ζ⁹⁸	−ζ²−ζ²⁶−ζ¹¹⁰−ζ¹³⁴	−ζ⁶²−ζ⁷⁴−ζ¹⁴⁶−ζ¹⁹⁴	0	0	0
χ₂₂	4	ζ³⁸+ζ⁵⁰+ζ⁸⁶+ζ⁹⁸+ζ¹⁰⁶+ζ¹¹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ¹⁰+ζ⁵⁸+ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ¹⁴²+ζ¹⁴⁶+ζ¹⁹⁴	ζ¹⁴+ζ²²+ζ⁴⁶+ζ⁸²+ζ¹²²+ζ¹⁵⁸+ζ¹⁸²+ζ¹⁹⁰	ζ²+ζ²⁶+ζ⁷⁰+ζ⁹⁴+ζ¹¹⁰+ζ¹³⁴+ζ¹⁷⁸+ζ²⁰²	0	0	0	$- 2 - 2 i \sqrt{3}$	−ζ¹⁰⁶−ζ¹¹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ¹⁰−ζ⁵⁸−ζ¹³⁰−ζ¹⁴²	−ζ²²−ζ⁴⁶−ζ⁸²−ζ¹⁹⁰	−ζ⁷⁰−ζ⁹⁴−ζ¹⁷⁸−ζ²⁰²	0	0	0	$- 2 + 2 i \sqrt{3}$	−ζ³⁸−ζ⁵⁰−ζ⁸⁶−ζ⁹⁸	−ζ⁶²−ζ⁷⁴−ζ¹⁴⁶−ζ¹⁹⁴	−ζ¹⁴−ζ¹²²−ζ¹⁵⁸−ζ¹⁸²	−ζ²−ζ²⁶−ζ¹¹⁰−ζ¹³⁴	0	0	0
χ₂₃	4	ζ²+ζ²⁶+ζ⁷⁰+ζ⁹⁴+ζ¹¹⁰+ζ¹³⁴+ζ¹⁷⁸+ζ²⁰²	ζ¹⁴+ζ²²+ζ⁴⁶+ζ⁸²+ζ¹²²+ζ¹⁵⁸+ζ¹⁸²+ζ¹⁹⁰	ζ¹⁰+ζ⁵⁸+ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ¹⁴²+ζ¹⁴⁶+ζ¹⁹⁴	ζ³⁸+ζ⁵⁰+ζ⁸⁶+ζ⁹⁸+ζ¹⁰⁶+ζ¹¹⁸+ζ¹⁵⁴+ζ¹⁶⁶	0	0	0	$- 2 - 2 i \sqrt{3}$	−ζ⁷⁰−ζ⁹⁴−ζ¹⁷⁸−ζ²⁰²	−ζ²²−ζ⁴⁶−ζ⁸²−ζ¹⁹⁰	−ζ¹⁰−ζ⁵⁸−ζ¹³⁰−ζ¹⁴²	−ζ¹⁰⁶−ζ¹¹⁸−ζ¹⁵⁴−ζ¹⁶⁶	0	0	0	$- 2 + 2 i \sqrt{3}$	−ζ²−ζ²⁶−ζ¹¹⁰−ζ¹³⁴	−ζ¹⁴−ζ¹²²−ζ¹⁵⁸−ζ¹⁸²	−ζ⁶²−ζ⁷⁴−ζ¹⁴⁶−ζ¹⁹⁴	−ζ³⁸−ζ⁵⁰−ζ⁸⁶−ζ⁹⁸	0	0	0
χ₂₄	4	ζ¹⁰+ζ⁵⁸+ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ¹⁴²+ζ¹⁴⁶+ζ¹⁹⁴	ζ²+ζ²⁶+ζ⁷⁰+ζ⁹⁴+ζ¹¹⁰+ζ¹³⁴+ζ¹⁷⁸+ζ²⁰²	ζ³⁸+ζ⁵⁰+ζ⁸⁶+ζ⁹⁸+ζ¹⁰⁶+ζ¹¹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ¹⁴+ζ²²+ζ⁴⁶+ζ⁸²+ζ¹²²+ζ¹⁵⁸+ζ¹⁸²+ζ¹⁹⁰	0	0	0	$- 2 - 2 i \sqrt{3}$	−ζ¹⁰−ζ⁵⁸−ζ¹³⁰−ζ¹⁴²	−ζ⁷⁰−ζ⁹⁴−ζ¹⁷⁸−ζ²⁰²	−ζ¹⁰⁶−ζ¹¹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ²²−ζ⁴⁶−ζ⁸²−ζ¹⁹⁰	0	0	0	$- 2 + 2 i \sqrt{3}$	−ζ⁶²−ζ⁷⁴−ζ¹⁴⁶−ζ¹⁹⁴	−ζ²−ζ²⁶−ζ¹¹⁰−ζ¹³⁴	−ζ³⁸−ζ⁵⁰−ζ⁸⁶−ζ⁹⁸	−ζ¹⁴−ζ¹²²−ζ¹⁵⁸−ζ¹⁸²	0	0	0

Here ζ is a primitive root of unity of order 204 (ζ²⁰⁴ = 1); i = ζ⁵¹.

Character table — Group #6076