Group #10619375 — 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	5	5	5	5	5	5	10	10	10	32	32	32	32	32	32	32	32	40	40	40	40	40	40	40	40
order	1	2	4	2	2	2	2	2	2	4	4	4	5	5	10	10	20	20	20	20	4	4	4	4	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	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
χ₅	2	2	2	2	2	2	2	2	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0
χ₆	2	2	2	2	2	2	2	2	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0
χ₇	2	2	-2	2	2	2	2	2	2	-2	-2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0
χ₈	2	2	-2	2	2	2	2	2	2	-2	-2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0
χ₉	2	-2	0	2	2	2	-2	-2	-2	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₀	2	-2	0	2	2	2	-2	-2	-2	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ¹¹+ζ¹⁹	ζ¹¹−ζ¹⁹	ζ³−ζ⁷	−ζ³+ζ⁷	0	0	0	0	0	0	0	0
χ₁₁	2	-2	0	2	2	2	-2	-2	-2	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	ζ¹¹−ζ¹⁹	−ζ¹¹+ζ¹⁹	−ζ³+ζ⁷	ζ³−ζ⁷	0	0	0	0	0	0	0	0
χ₁₂	2	-2	0	2	2	2	-2	-2	-2	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	ζ³−ζ⁷	−ζ³+ζ⁷	ζ¹¹−ζ¹⁹	−ζ¹¹+ζ¹⁹	0	0	0	0	0	0	0	0
χ₁₃	2	-2	0	2	2	2	-2	-2	-2	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ³+ζ⁷	ζ³−ζ⁷	−ζ¹¹+ζ¹⁹	ζ¹¹−ζ¹⁹	0	0	0	0	0	0	0	0
χ₁₄	5	5	5	1	1	-3	1	1	-3	1	1	-3	0	0	0	0	0	0	0	0	1	1	1	-1	-1	1	-1	-1
χ₁₅	5	5	5	1	1	-3	1	1	-3	1	1	-3	0	0	0	0	0	0	0	0	-1	-1	-1	1	1	-1	1	1
χ₁₆	5	5	5	1	-3	1	1	-3	1	1	-3	1	0	0	0	0	0	0	0	0	1	1	-1	1	-1	-1	1	-1
χ₁₇	5	5	5	1	-3	1	1	-3	1	1	-3	1	0	0	0	0	0	0	0	0	-1	-1	1	-1	1	1	-1	1
χ₁₈	5	5	5	-3	1	1	-3	1	1	-3	1	1	0	0	0	0	0	0	0	0	1	1	-1	-1	1	-1	-1	1
χ₁₉	5	5	5	-3	1	1	-3	1	1	-3	1	1	0	0	0	0	0	0	0	0	-1	-1	1	1	-1	1	1	-1
χ₂₀	5	5	-5	1	1	-3	1	1	-3	-1	-1	3	0	0	0	0	0	0	0	0	1	-1	1	-1	-1	-1	1	1
χ₂₁	5	5	-5	1	1	-3	1	1	-3	-1	-1	3	0	0	0	0	0	0	0	0	-1	1	-1	1	1	1	-1	-1
χ₂₂	5	5	-5	1	-3	1	1	-3	1	-1	3	-1	0	0	0	0	0	0	0	0	1	-1	-1	1	-1	1	-1	1
χ₂₃	5	5	-5	1	-3	1	1	-3	1	-1	3	-1	0	0	0	0	0	0	0	0	-1	1	1	-1	1	-1	1	-1
χ₂₄	5	5	-5	-3	1	1	-3	1	1	3	-1	-1	0	0	0	0	0	0	0	0	1	-1	-1	-1	1	1	1	-1
χ₂₅	5	5	-5	-3	1	1	-3	1	1	3	-1	-1	0	0	0	0	0	0	0	0	-1	1	1	1	-1	-1	-1	1
χ₂₆	10	-10	0	2	2	-6	-2	-2	6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	10	-10	0	2	-6	2	-2	6	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	10	-10	0	-6	2	2	6	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #10619375