Group #92561 — 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
size	1	2	2	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	25	50	50	125	125
order	1	5	5	5	5	5	5	5	5	5	5	5	5	5	5	5	5	5	5	5	5	5	5	5	5	5	5	5	5	5	5	5	5	2	10	10	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
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
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	$i$	$- i$
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	1	1	1	1	1	1	1	1	1	-1	-1	-1	$- i$	$i$
χ₅	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0
χ₆	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0
χ₇	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0
χ₈	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0
χ₉	4	4	4	4	-1	-1	-1	-1	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0
χ₁₀	4	4	4	-1	4	-1	-1	-1	-1	-1	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0
χ₁₁	4	4	4	-1	-1	4	-1	-1	-1	-1	-1	-1	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	4	4	-1	-1	-1	-1	-1	-1	0	0	0	0	0
χ₁₂	4	4	4	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	-1	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	4	4	-1	-1	-1	-1	0	0	0	0	0
χ₁₃	4	4	4	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	4	4	-1	-1	0	0	0	0	0
χ₁₄	4	4	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	4	4	0	0	0	0	0
χ₁₅	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	4	-1	-1	-1	-1	-1	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	0	0	0	0	0
χ₁₆	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	4	-1	-1	-1	-1	-1	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	0	0	0	0	0
χ₁₇	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-1	4	-1	-1	-1	-1	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	0	0	0	0	0
χ₁₈	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-1	4	-1	-1	-1	-1	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	0	0	0	0	0
χ₁₉	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-1	-1	4	-1	-1	-1	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	0	0	0	0	0
χ₂₀	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-1	-1	4	-1	-1	-1	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	0	0	0	0	0
χ₂₁	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-1	-1	-1	4	-1	-1	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	0	0	0	0	0
χ₂₂	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-1	-1	-1	4	-1	-1	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	0	0	0	0	0
χ₂₃	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-1	-1	-1	-1	4	-1	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	0	0	0	0	0
χ₂₄	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-1	-1	-1	-1	4	-1	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	0	0	0	0	0
χ₂₅	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-1	-1	-1	-1	-1	4	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	0	0	0
χ₂₆	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-1	-1	-1	-1	-1	4	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	0	0	0
χ₂₇	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	4	-1	-1	-1	-1	-1	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	0	0	0	0	0
χ₂₈	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	4	-1	-1	-1	-1	-1	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	0	0	0	0	0
χ₂₉	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-1	4	-1	-1	-1	-1	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	0	0	0	0	0
χ₃₀	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-1	4	-1	-1	-1	-1	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	0	0	0	0	0
χ₃₁	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-1	-1	4	-1	-1	-1	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	0	0	0	0	0
χ₃₂	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-1	-1	4	-1	-1	-1	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	0	0	0	0	0
χ₃₃	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-1	-1	-1	4	-1	-1	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	0	0	0	0	0
χ₃₄	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-1	-1	-1	4	-1	-1	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	0	0	0	0	0
χ₃₅	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-1	-1	-1	-1	4	-1	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	0	0	0	0	0
χ₃₆	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-1	-1	-1	-1	4	-1	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	0	0	0	0	0
χ₃₇	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-1	-1	-1	-1	-1	4	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	0	0	0
χ₃₈	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-1	-1	-1	-1	-1	4	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	ζ²−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴+ζ¹⁸	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	−ζ²+ζ¹⁴+ζ¹⁸	ζ²+ζ⁶−ζ¹⁸	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	0	0	0

Character table — Group #92561