Group #10598739 — 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
size	1	1	2	4	4	4	4	4	8	8	8	8	8	8	8	16	16	16	16	16	40	40	40	40	80	80	80	80
order	1	2	2	4	5	10	10	10	4	20	20	20	20	20	20	4	20	20	20	20	2	2	8	8	4	4	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
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
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	$i$	$i$	$- i$	$- i$
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	$- i$	$- i$	$i$	$i$
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
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
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	$i$	$- i$	$- i$	$i$
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	$- i$	$i$	$i$	$- i$
χ₉	2	2	2	2	2	2	2	2	-2	2	2	-2	-2	-2	-2	0	0	0	0	0	2	-2	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	2	2	2	-2	2	2	-2	-2	-2	-2	0	0	0	0	0	-2	2	0	0	0	0	0	0
χ₁₁	4	4	4	4	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₂	4	4	4	4	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	-4	1	1	1	1	0	0	0	0	0	0	0	0
χ₁₃	4	4	4	4	-1	-1	-1	-1	-4	-1	-1	1	1	1	1	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0
χ₁₄	4	4	4	4	-1	-1	-1	-1	-4	-1	-1	1	1	1	1	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0
χ₁₅	4	4	4	-4	4	4	4	4	0	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₆	4	4	4	-4	-1	-1	-1	-1	0	1	1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	−ζ²+ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴−ζ¹⁸	−ζ²−ζ⁶+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁴−ζ¹⁸	0	0	0	0	0	0	0	0
χ₁₇	4	4	4	-4	-1	-1	-1	-1	0	1	1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	ζ²−ζ⁶+ζ¹⁴−ζ¹⁸	−ζ²+ζ⁶−ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁴−ζ¹⁸	−ζ²−ζ⁶+ζ¹⁴+ζ¹⁸	0	0	0	0	0	0	0	0
χ₁₈	4	4	4	-4	-1	-1	-1	-1	0	1	1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	−ζ²−ζ⁶+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁴−ζ¹⁸	ζ²−ζ⁶+ζ¹⁴−ζ¹⁸	−ζ²+ζ⁶−ζ¹⁴+ζ¹⁸	0	0	0	0	0	0	0	0
χ₁₉	4	4	4	-4	-1	-1	-1	-1	0	1	1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	ζ²+ζ⁶−ζ¹⁴−ζ¹⁸	−ζ²−ζ⁶+ζ¹⁴+ζ¹⁸	−ζ²+ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴−ζ¹⁸	0	0	0	0	0	0	0	0
χ₂₀	4	4	-4	0	4	4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0
χ₂₁	4	4	-4	0	4	4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0
χ₂₂	8	8	-8	0	-2	-2	2	2	0	$2 \sqrt{5}$	$- 2 \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	8	8	-8	0	-2	-2	2	2	0	$- 2 \sqrt{5}$	$2 \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	8	-8	0	0	8	-8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	8	-8	0	0	-2	2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	0	0	0	2ζ³−2ζ⁷	−2ζ³+2ζ⁷	−2ζ¹¹+2ζ¹⁹	2ζ¹¹−2ζ¹⁹	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	8	-8	0	0	-2	2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	0	0	0	−2ζ³+2ζ⁷	2ζ³−2ζ⁷	2ζ¹¹−2ζ¹⁹	−2ζ¹¹+2ζ¹⁹	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	8	-8	0	0	-2	2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	0	0	0	−2ζ¹¹+2ζ¹⁹	2ζ¹¹−2ζ¹⁹	−2ζ³+2ζ⁷	2ζ³−2ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	8	-8	0	0	-2	2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	0	0	0	2ζ¹¹−2ζ¹⁹	−2ζ¹¹+2ζ¹⁹	2ζ³−2ζ⁷	−2ζ³+2ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #10598739