Group #6504 — 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	2	2	2	2	2	2	2	4	4	4	4	4	4	4	4	4	4	14	14	28	1	1	2	2	2	2	2	2	2	4	4	4	4	4	4	4	4	4	4	14	14	28
order	1	2	4	7	7	7	14	14	14	4	28	28	28	28	28	28	28	28	28	8	8	2	2	2	4	14	14	14	14	14	14	4	28	28	28	28	28	28	28	28	28	8	8	2
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	2	2	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	0	0	0	2	2	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	0	0	0
χ₆	2	2	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	-2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	0	0	0	2	2	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	-2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	0	0	0
χ₇	2	2	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	0	0	0	2	2	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	0	0	0
χ₈	2	2	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	-2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	0	0	0	2	2	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	-2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	0	0	0
χ₉	2	2	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	0	0	0	2	2	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	0	0	0
χ₁₀	2	2	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	-2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	0	0	0	2	2	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	-2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	0	0	0
χ₁₁	2	2	-2	2	2	2	2	2	2	0	-2	-2	-2	0	0	0	0	0	0	0	0	0	2	2	-2	2	2	2	2	2	2	0	-2	-2	-2	0	0	0	0	0	0	0	0	0
χ₁₂	2	2	-2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	0	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	0	0	0	2	2	-2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	0	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	0	0	0
χ₁₃	2	2	-2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	0	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	0	0	0	2	2	-2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	0	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	0	0	0
χ₁₄	2	2	-2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	0	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	0	0	0	2	2	-2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	0	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	0	0	0
χ₁₅	2	2	-2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	0	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	0	0	0	2	2	-2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	0	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	0	0	0
χ₁₆	2	2	-2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	0	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	0	0	0	2	2	-2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	0	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	0	0	0
χ₁₇	2	2	-2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	0	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	0	0	0	2	2	-2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	0	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	0	0	0
χ₁₈	2	-2	0	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	-2	0	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₁₉	2	-2	0	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	-2	0	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₂₀	4	-4	0	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	2ζ²⁰+2ζ³⁶	2ζ¹²+2ζ⁴⁴	2ζ⁴+2ζ⁵²	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	0	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	2ζ²⁰+2ζ³⁶	2ζ¹²+2ζ⁴⁴	2ζ⁴+2ζ⁵²	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	4	-4	0	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	2ζ¹²+2ζ⁴⁴	2ζ⁴+2ζ⁵²	2ζ²⁰+2ζ³⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	0	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	2ζ¹²+2ζ⁴⁴	2ζ⁴+2ζ⁵²	2ζ²⁰+2ζ³⁶	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	-4	0	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	2ζ⁴+2ζ⁵²	2ζ²⁰+2ζ³⁶	2ζ¹²+2ζ⁴⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	0	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	2ζ⁴+2ζ⁵²	2ζ²⁰+2ζ³⁶	2ζ¹²+2ζ⁴⁴	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₂₄	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1
χ₂₅	1	1	1	1	1	1	1	1	1	-1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	-1	-1	-1	1	1	1	1	1	1	-1	-1	1
χ₂₆	1	1	1	1	1	1	1	1	1	-1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	-1	-1	-1	1	1	1	1	1	1	1	1	-1
χ₂₇	2	2	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	0	0	0	-2	-2	-2	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	-2	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	0	0	0
χ₂₈	2	2	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	-2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	0	0	0	-2	-2	-2	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	2	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	0	0	0
χ₂₉	2	2	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	0	0	0	-2	-2	-2	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	-2	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	0	0	0
χ₃₀	2	2	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	-2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	0	0	0	-2	-2	-2	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	2	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	0	0	0
χ₃₁	2	2	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	0	0	0	-2	-2	-2	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	-2	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	0	0	0
χ₃₂	2	2	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	-2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	0	0	0	-2	-2	-2	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	2	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	0	0	0
χ₃₃	2	2	-2	2	2	2	2	2	2	0	-2	-2	-2	0	0	0	0	0	0	0	0	0	-2	-2	2	-2	-2	-2	-2	-2	-2	0	2	2	2	0	0	0	0	0	0	0	0	0
χ₃₄	2	2	-2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	0	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	0	0	0	-2	-2	2	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	0	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	0	0	0
χ₃₅	2	2	-2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	0	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	0	0	0	-2	-2	2	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	0	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	0	0	0
χ₃₆	2	2	-2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	0	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	0	0	0	-2	-2	2	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	0	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	0	0	0
χ₃₇	2	2	-2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	0	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	0	0	0	-2	-2	2	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	0	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	0	0	0
χ₃₈	2	2	-2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	0	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	0	0	0	-2	-2	2	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	0	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	0	0	0
χ₃₉	2	2	-2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	0	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴−ζ⁵²	−ζ⁴+ζ⁵²	−ζ²⁰+ζ³⁶	ζ²⁰−ζ³⁶	−ζ¹²+ζ⁴⁴	ζ¹²−ζ⁴⁴	0	0	0	-2	-2	2	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	0	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴+ζ⁵²	ζ⁴−ζ⁵²	ζ²⁰−ζ³⁶	−ζ²⁰+ζ³⁶	ζ¹²−ζ⁴⁴	−ζ¹²+ζ⁴⁴	0	0	0
χ₄₀	2	-2	0	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	-2	2	0	-2	-2	-2	2	2	2	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₄₁	2	-2	0	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	-2	2	0	-2	-2	-2	2	2	2	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₄₂	4	-4	0	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	2ζ²⁰+2ζ³⁶	2ζ¹²+2ζ⁴⁴	2ζ⁴+2ζ⁵²	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	0	2ζ²⁰+2ζ³⁶	2ζ¹²+2ζ⁴⁴	2ζ⁴+2ζ⁵²	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	4	-4	0	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	2ζ¹²+2ζ⁴⁴	2ζ⁴+2ζ⁵²	2ζ²⁰+2ζ³⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	0	2ζ¹²+2ζ⁴⁴	2ζ⁴+2ζ⁵²	2ζ²⁰+2ζ³⁶	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	4	-4	0	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	2ζ⁴+2ζ⁵²	2ζ²⁰+2ζ³⁶	2ζ¹²+2ζ⁴⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	0	2ζ⁴+2ζ⁵²	2ζ²⁰+2ζ³⁶	2ζ¹²+2ζ⁴⁴	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #6504