Group #6409 — 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
size	1	1	1	1	2	2	2	2	2	2	2	2	2	2	2	2	2	2	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	14	14	14	14	28	28
order	1	2	2	2	4	4	7	7	7	14	14	14	14	14	14	14	14	14	4	4	28	28	28	28	28	28	28	28	28	28	28	28	28	28	28	28	28	28	8	8	8	8	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
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
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
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
χ₅	1	-1	1	-1	1	-1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	1	1	1	-1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	$i$	$i$	$- i$	$- i$	$i$	$- i$
χ₆	1	-1	1	-1	1	-1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	1	1	1	-1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	$- i$	$- i$	$i$	$i$	$- i$	$i$
χ₇	1	-1	1	-1	1	-1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	$i$	$i$	$- i$	$- i$	$- i$	$i$
χ₈	1	-1	1	-1	1	-1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	$- i$	$- i$	$i$	$i$	$i$	$- i$
χ₉	2	2	2	2	2	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	2	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	-2	-2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	0	0	0	0	0	0
χ₁₁	2	2	2	2	2	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	2	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	0	0	0	0	0	0
χ₁₂	2	2	2	2	2	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	-2	-2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	0	0	0	0	0	0
χ₁₃	2	2	2	2	2	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	2	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	0	0	0	0	0	0
χ₁₄	2	2	2	2	2	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	-2	-2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	0	0	0	0	0	0
χ₁₅	2	2	2	2	-2	-2	2	2	2	2	2	2	2	2	2	2	2	2	0	0	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₆	2	2	2	2	-2	-2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	0	0	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	0	0	0	0	0	0
χ₁₇	2	2	2	2	-2	-2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	0	0	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	0	0	0	0	0	0
χ₁₈	2	2	2	2	-2	-2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	0	0	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	0	0	0	0	0	0
χ₁₉	2	2	2	2	-2	-2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	0	0	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	0	0	0	0	0	0
χ₂₀	2	2	2	2	-2	-2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	0	0	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	0	0	0	0	0	0
χ₂₁	2	2	2	2	-2	-2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	0	0	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	0	0	0	0	0	0
χ₂₂	2	2	-2	-2	0	0	2	2	2	2	-2	2	-2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₂₃	2	2	-2	-2	0	0	2	2	2	2	-2	2	-2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₂₄	2	-2	2	-2	2	-2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	2	-2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	0	0	0	0	0	0
χ₂₅	2	-2	2	-2	2	-2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	-2	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	0	0	0	0	0	0
χ₂₆	2	-2	2	-2	2	-2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	2	-2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	0	0	0	0	0	0
χ₂₇	2	-2	2	-2	2	-2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	-2	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	0	0	0	0	0	0
χ₂₈	2	-2	2	-2	2	-2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	2	-2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	0	0	0	0	0	0
χ₂₉	2	-2	2	-2	2	-2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	-2	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	0	0	0	0	0	0
χ₃₀	2	-2	2	-2	-2	2	2	2	2	-2	-2	-2	-2	-2	-2	2	2	2	0	0	-2	-2	-2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	2	-2	2	-2	-2	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	0	0	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	0	0	0	0	0	0
χ₃₂	2	-2	2	-2	-2	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	0	0	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	0	0	0	0	0	0
χ₃₃	2	-2	2	-2	-2	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	0	0	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	0	0	0	0	0	0
χ₃₄	2	-2	2	-2	-2	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	0	0	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	0	0	0	0	0	0
χ₃₅	2	-2	2	-2	-2	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	0	0	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	0	0	0	0	0	0
χ₃₆	2	-2	2	-2	-2	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	0	0	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	0	0	0	0	0	0
χ₃₇	2	-2	-2	2	0	0	2	2	2	-2	2	-2	2	-2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0
χ₃₈	2	-2	-2	2	0	0	2	2	2	-2	2	-2	2	-2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0
χ₃₉	4	4	-4	-4	0	0	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	2ζ²⁰+2ζ³⁶	−2ζ¹²−2ζ⁴⁴	2ζ¹²+2ζ⁴⁴	−2ζ⁴−2ζ⁵²	2ζ⁴+2ζ⁵²	2ζ²⁰+2ζ³⁶	2ζ¹²+2ζ⁴⁴	2ζ⁴+2ζ⁵²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	4	-4	-4	0	0	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	2ζ¹²+2ζ⁴⁴	−2ζ⁴−2ζ⁵²	2ζ⁴+2ζ⁵²	−2ζ²⁰−2ζ³⁶	2ζ²⁰+2ζ³⁶	2ζ¹²+2ζ⁴⁴	2ζ⁴+2ζ⁵²	2ζ²⁰+2ζ³⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	4	-4	-4	0	0	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	2ζ⁴+2ζ⁵²	−2ζ²⁰−2ζ³⁶	2ζ²⁰+2ζ³⁶	−2ζ¹²−2ζ⁴⁴	2ζ¹²+2ζ⁴⁴	2ζ⁴+2ζ⁵²	2ζ²⁰+2ζ³⁶	2ζ¹²+2ζ⁴⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	4	-4	-4	4	0	0	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	2ζ²⁰+2ζ³⁶	−2ζ²⁰−2ζ³⁶	2ζ¹²+2ζ⁴⁴	−2ζ¹²−2ζ⁴⁴	2ζ⁴+2ζ⁵²	−2ζ⁴−2ζ⁵²	2ζ²⁰+2ζ³⁶	2ζ¹²+2ζ⁴⁴	2ζ⁴+2ζ⁵²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	4	-4	-4	4	0	0	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	2ζ¹²+2ζ⁴⁴	−2ζ¹²−2ζ⁴⁴	2ζ⁴+2ζ⁵²	−2ζ⁴−2ζ⁵²	2ζ²⁰+2ζ³⁶	−2ζ²⁰−2ζ³⁶	2ζ¹²+2ζ⁴⁴	2ζ⁴+2ζ⁵²	2ζ²⁰+2ζ³⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	4	-4	-4	4	0	0	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	2ζ⁴+2ζ⁵²	−2ζ⁴−2ζ⁵²	2ζ²⁰+2ζ³⁶	−2ζ²⁰−2ζ³⁶	2ζ¹²+2ζ⁴⁴	−2ζ¹²−2ζ⁴⁴	2ζ⁴+2ζ⁵²	2ζ²⁰+2ζ³⁶	2ζ¹²+2ζ⁴⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #6409