Group #6479 — 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
size	1	1	2	2	2	2	2	2	2	2	2	4	4	4	4	4	4	4	4	4	4	4	7	7	8	8	8	8	8	8	14	14	14	28	28
order	1	2	4	7	7	7	8	8	14	14	14	2	4	28	28	28	56	56	56	56	56	56	4	4	14	14	14	28	28	28	2	8	8	2	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
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
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
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
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
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
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
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
χ₉	2	2	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	2	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	2	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	0	0	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	0	0	0	0	0
χ₁₀	2	2	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	2	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	-2	-2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	0	0	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	0	0	0	0	0
χ₁₁	2	2	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	-2	-2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	2	-2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	0	0	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	0	0	0	0	0
χ₁₂	2	2	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	-2	-2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	-2	2	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	0	0	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	0	0	0	0	0
χ₁₃	2	2	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	2	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	2	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	0	0	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	0	0	0	0	0
χ₁₄	2	2	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	2	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	-2	-2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	0	0	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	0	0	0	0	0
χ₁₅	2	2	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	-2	-2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	2	-2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	0	0	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	0	0	0	0	0
χ₁₆	2	2	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	-2	-2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	-2	2	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	0	0	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	0	0	0	0	0
χ₁₇	2	2	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	2	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	2	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	0	0	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	0	0	0	0	0
χ₁₈	2	2	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	2	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	-2	-2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	−ζ¹²−ζ⁴⁴	0	0	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	0	0	0	0	0
χ₁₉	2	2	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	-2	-2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	2	-2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	0	0	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	0	0	0	0	0
χ₂₀	2	2	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	-2	-2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	-2	2	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	ζ⁴+ζ⁵²	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	ζ¹²+ζ⁴⁴	0	0	ζ⁴+ζ⁵²	ζ²⁰+ζ³⁶	ζ¹²+ζ⁴⁴	−ζ⁴−ζ⁵²	−ζ²⁰−ζ³⁶	−ζ¹²−ζ⁴⁴	0	0	0	0	0
χ₂₁	2	2	-2	2	2	2	0	0	2	2	2	0	0	-2	-2	-2	0	0	0	0	0	0	2	2	0	0	0	0	0	0	-2	0	0	0	0
χ₂₂	2	2	-2	2	2	2	0	0	2	2	2	0	0	-2	-2	-2	0	0	0	0	0	0	-2	-2	0	0	0	0	0	0	2	0	0	0	0
χ₂₃	2	-2	0	2	2	2	$i \sqrt{2}$	$- i \sqrt{2}$	-2	-2	-2	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₂₄	2	-2	0	2	2	2	$i \sqrt{2}$	$- i \sqrt{2}$	-2	-2	-2	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₂₅	2	-2	0	2	2	2	$- i \sqrt{2}$	$i \sqrt{2}$	-2	-2	-2	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₂₆	2	-2	0	2	2	2	$- i \sqrt{2}$	$i \sqrt{2}$	-2	-2	-2	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₂₇	4	4	-4	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	0	0	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	0	0	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
χ₂₈	4	4	-4	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	0	0	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	0	0	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
χ₂₉	4	4	-4	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	0	0	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	0	0	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
χ₃₀	4	-4	0	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	2ζ²⁰+2ζ³⁶	2ζ¹²+2ζ⁴⁴	2ζ⁴+2ζ⁵²	0	0	0	0	0	ζ¹³+ζ¹⁵+ζ²⁹+ζ⁵⁵	−ζ¹³−ζ¹⁵−ζ²⁹−ζ⁵⁵	ζ⁵+ζ²³+ζ³⁷+ζ⁴⁷	−ζ⁵−ζ²³−ζ³⁷−ζ⁴⁷	ζ³¹+ζ³⁹+ζ⁴⁵+ζ⁵³	−ζ³¹−ζ³⁹−ζ⁴⁵−ζ⁵³	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	-4	0	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	2ζ²⁰+2ζ³⁶	2ζ¹²+2ζ⁴⁴	2ζ⁴+2ζ⁵²	0	0	0	0	0	−ζ¹³−ζ¹⁵−ζ²⁹−ζ⁵⁵	ζ¹³+ζ¹⁵+ζ²⁹+ζ⁵⁵	−ζ⁵−ζ²³−ζ³⁷−ζ⁴⁷	ζ⁵+ζ²³+ζ³⁷+ζ⁴⁷	−ζ³¹−ζ³⁹−ζ⁴⁵−ζ⁵³	ζ³¹+ζ³⁹+ζ⁴⁵+ζ⁵³	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	-4	0	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	2ζ¹²+2ζ⁴⁴	2ζ⁴+2ζ⁵²	2ζ²⁰+2ζ³⁶	0	0	0	0	0	ζ⁵+ζ²³+ζ³⁷+ζ⁴⁷	−ζ⁵−ζ²³−ζ³⁷−ζ⁴⁷	ζ³¹+ζ³⁹+ζ⁴⁵+ζ⁵³	−ζ³¹−ζ³⁹−ζ⁴⁵−ζ⁵³	ζ¹³+ζ¹⁵+ζ²⁹+ζ⁵⁵	−ζ¹³−ζ¹⁵−ζ²⁹−ζ⁵⁵	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	-4	0	−2ζ¹²−2ζ⁴⁴	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	2ζ¹²+2ζ⁴⁴	2ζ⁴+2ζ⁵²	2ζ²⁰+2ζ³⁶	0	0	0	0	0	−ζ⁵−ζ²³−ζ³⁷−ζ⁴⁷	ζ⁵+ζ²³+ζ³⁷+ζ⁴⁷	−ζ³¹−ζ³⁹−ζ⁴⁵−ζ⁵³	ζ³¹+ζ³⁹+ζ⁴⁵+ζ⁵³	−ζ¹³−ζ¹⁵−ζ²⁹−ζ⁵⁵	ζ¹³+ζ¹⁵+ζ²⁹+ζ⁵⁵	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	-4	0	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	2ζ⁴+2ζ⁵²	2ζ²⁰+2ζ³⁶	2ζ¹²+2ζ⁴⁴	0	0	0	0	0	ζ³¹+ζ³⁹+ζ⁴⁵+ζ⁵³	−ζ³¹−ζ³⁹−ζ⁴⁵−ζ⁵³	ζ¹³+ζ¹⁵+ζ²⁹+ζ⁵⁵	−ζ¹³−ζ¹⁵−ζ²⁹−ζ⁵⁵	ζ⁵+ζ²³+ζ³⁷+ζ⁴⁷	−ζ⁵−ζ²³−ζ³⁷−ζ⁴⁷	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	-4	0	−2ζ⁴−2ζ⁵²	−2ζ²⁰−2ζ³⁶	−2ζ¹²−2ζ⁴⁴	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	2ζ⁴+2ζ⁵²	2ζ²⁰+2ζ³⁶	2ζ¹²+2ζ⁴⁴	0	0	0	0	0	−ζ³¹−ζ³⁹−ζ⁴⁵−ζ⁵³	ζ³¹+ζ³⁹+ζ⁴⁵+ζ⁵³	−ζ¹³−ζ¹⁵−ζ²⁹−ζ⁵⁵	ζ¹³+ζ¹⁵+ζ²⁹+ζ⁵⁵	−ζ⁵−ζ²³−ζ³⁷−ζ⁴⁷	ζ⁵+ζ²³+ζ³⁷+ζ⁴⁷	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #6479