Group #92545 — 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	2	2	5	5	5	5	10	10	10	10	10	10	10	10	10	10	25	25	25	25	25	1	2	2	5	5	5	5	10	10	10	10	10	10	10	10	10	10	25	25	25	25	25
order	1	5	5	5	5	5	5	25	25	25	25	25	25	25	25	25	25	2	10	10	10	10	2	10	10	10	10	10	10	50	50	50	50	50	50	50	50	50	50	2	10	10	10	10
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	ζ	ζ²	ζ³	ζ⁴	1	1	ζ	ζ	ζ²	ζ²	ζ³	ζ³	ζ⁴	ζ⁴	1	ζ	ζ²	ζ³	ζ⁴	1	1	1	ζ	ζ²	ζ³	ζ⁴	1	1	ζ	ζ	ζ²	ζ²	ζ³	ζ³	ζ⁴	ζ⁴	1	ζ	ζ²	ζ³	ζ⁴
χ₄	1	1	1	ζ	ζ²	ζ³	ζ⁴	1	1	ζ	ζ	ζ²	ζ²	ζ³	ζ³	ζ⁴	ζ⁴	-1	−ζ	−ζ²	−ζ³	−ζ⁴	1	1	1	ζ	ζ²	ζ³	ζ⁴	1	1	ζ	ζ	ζ²	ζ²	ζ³	ζ³	ζ⁴	ζ⁴	-1	−ζ	−ζ²	−ζ³	−ζ⁴
χ₅	1	1	1	ζ²	ζ⁴	ζ	ζ³	1	1	ζ²	ζ²	ζ⁴	ζ⁴	ζ	ζ	ζ³	ζ³	1	ζ²	ζ⁴	ζ	ζ³	1	1	1	ζ²	ζ⁴	ζ	ζ³	1	1	ζ²	ζ²	ζ⁴	ζ⁴	ζ	ζ	ζ³	ζ³	1	ζ²	ζ⁴	ζ	ζ³
χ₆	1	1	1	ζ²	ζ⁴	ζ	ζ³	1	1	ζ²	ζ²	ζ⁴	ζ⁴	ζ	ζ	ζ³	ζ³	-1	−ζ²	−ζ⁴	−ζ	−ζ³	1	1	1	ζ²	ζ⁴	ζ	ζ³	1	1	ζ²	ζ²	ζ⁴	ζ⁴	ζ	ζ	ζ³	ζ³	-1	−ζ²	−ζ⁴	−ζ	−ζ³
χ₇	1	1	1	ζ³	ζ	ζ⁴	ζ²	1	1	ζ³	ζ³	ζ	ζ	ζ⁴	ζ⁴	ζ²	ζ²	1	ζ³	ζ	ζ⁴	ζ²	1	1	1	ζ³	ζ	ζ⁴	ζ²	1	1	ζ³	ζ³	ζ	ζ	ζ⁴	ζ⁴	ζ²	ζ²	1	ζ³	ζ	ζ⁴	ζ²
χ₈	1	1	1	ζ³	ζ	ζ⁴	ζ²	1	1	ζ³	ζ³	ζ	ζ	ζ⁴	ζ⁴	ζ²	ζ²	-1	−ζ³	−ζ	−ζ⁴	−ζ²	1	1	1	ζ³	ζ	ζ⁴	ζ²	1	1	ζ³	ζ³	ζ	ζ	ζ⁴	ζ⁴	ζ²	ζ²	-1	−ζ³	−ζ	−ζ⁴	−ζ²
χ₉	1	1	1	ζ⁴	ζ³	ζ²	ζ	1	1	ζ⁴	ζ⁴	ζ³	ζ³	ζ²	ζ²	ζ	ζ	1	ζ⁴	ζ³	ζ²	ζ	1	1	1	ζ⁴	ζ³	ζ²	ζ	1	1	ζ⁴	ζ⁴	ζ³	ζ³	ζ²	ζ²	ζ	ζ	1	ζ⁴	ζ³	ζ²	ζ
χ₁₀	1	1	1	ζ⁴	ζ³	ζ²	ζ	1	1	ζ⁴	ζ⁴	ζ³	ζ³	ζ²	ζ²	ζ	ζ	-1	−ζ⁴	−ζ³	−ζ²	−ζ	1	1	1	ζ⁴	ζ³	ζ²	ζ	1	1	ζ⁴	ζ⁴	ζ³	ζ³	ζ²	ζ²	ζ	ζ	-1	−ζ⁴	−ζ³	−ζ²	−ζ
χ₁₁	2	2	2	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	2	2	2	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0
χ₁₂	2	2	2	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	2	2	2	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0
χ₁₃	2	2	2	2ζ	2ζ²	2ζ³	2ζ⁴	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	1+ζ²	ζ³+ζ⁴	ζ+ζ³	1+ζ⁴	ζ²+ζ⁴	1+ζ	1+ζ³	ζ+ζ²	0	0	0	0	0	2	2	2	2ζ	2ζ²	2ζ³	2ζ⁴	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	1+ζ²	ζ³+ζ⁴	ζ+ζ³	1+ζ⁴	ζ²+ζ⁴	1+ζ	1+ζ³	ζ+ζ²	0	0	0	0	0
χ₁₄	2	2	2	2ζ	2ζ²	2ζ³	2ζ⁴	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ³+ζ⁴	1+ζ²	1+ζ⁴	ζ+ζ³	1+ζ	ζ²+ζ⁴	ζ+ζ²	1+ζ³	0	0	0	0	0	2	2	2	2ζ	2ζ²	2ζ³	2ζ⁴	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ³+ζ⁴	1+ζ²	1+ζ⁴	ζ+ζ³	1+ζ	ζ²+ζ⁴	ζ+ζ²	1+ζ³	0	0	0	0	0
χ₁₅	2	2	2	2ζ²	2ζ⁴	2ζ	2ζ³	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ+ζ³	1+ζ⁴	1+ζ³	ζ+ζ²	1+ζ²	ζ³+ζ⁴	ζ²+ζ⁴	1+ζ	0	0	0	0	0	2	2	2	2ζ²	2ζ⁴	2ζ	2ζ³	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ+ζ³	1+ζ⁴	1+ζ³	ζ+ζ²	1+ζ²	ζ³+ζ⁴	ζ²+ζ⁴	1+ζ	0	0	0	0	0
χ₁₆	2	2	2	2ζ²	2ζ⁴	2ζ	2ζ³	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	1+ζ⁴	ζ+ζ³	ζ+ζ²	1+ζ³	ζ³+ζ⁴	1+ζ²	1+ζ	ζ²+ζ⁴	0	0	0	0	0	2	2	2	2ζ²	2ζ⁴	2ζ	2ζ³	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	1+ζ⁴	ζ+ζ³	ζ+ζ²	1+ζ³	ζ³+ζ⁴	1+ζ²	1+ζ	ζ²+ζ⁴	0	0	0	0	0
χ₁₇	2	2	2	2ζ³	2ζ	2ζ⁴	2ζ²	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ²+ζ⁴	1+ζ	1+ζ²	ζ³+ζ⁴	1+ζ³	ζ+ζ²	ζ+ζ³	1+ζ⁴	0	0	0	0	0	2	2	2	2ζ³	2ζ	2ζ⁴	2ζ²	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ²+ζ⁴	1+ζ	1+ζ²	ζ³+ζ⁴	1+ζ³	ζ+ζ²	ζ+ζ³	1+ζ⁴	0	0	0	0	0
χ₁₈	2	2	2	2ζ³	2ζ	2ζ⁴	2ζ²	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	1+ζ	ζ²+ζ⁴	ζ³+ζ⁴	1+ζ²	ζ+ζ²	1+ζ³	1+ζ⁴	ζ+ζ³	0	0	0	0	0	2	2	2	2ζ³	2ζ	2ζ⁴	2ζ²	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	1+ζ	ζ²+ζ⁴	ζ³+ζ⁴	1+ζ²	ζ+ζ²	1+ζ³	1+ζ⁴	ζ+ζ³	0	0	0	0	0
χ₁₉	2	2	2	2ζ⁴	2ζ³	2ζ²	2ζ	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	1+ζ³	ζ+ζ²	ζ²+ζ⁴	1+ζ	ζ+ζ³	1+ζ⁴	1+ζ²	ζ³+ζ⁴	0	0	0	0	0	2	2	2	2ζ⁴	2ζ³	2ζ²	2ζ	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	1+ζ³	ζ+ζ²	ζ²+ζ⁴	1+ζ	ζ+ζ³	1+ζ⁴	1+ζ²	ζ³+ζ⁴	0	0	0	0	0
χ₂₀	2	2	2	2ζ⁴	2ζ³	2ζ²	2ζ	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ+ζ²	1+ζ³	1+ζ	ζ²+ζ⁴	1+ζ⁴	ζ+ζ³	ζ³+ζ⁴	1+ζ²	0	0	0	0	0	2	2	2	2ζ⁴	2ζ³	2ζ²	2ζ	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ+ζ²	1+ζ³	1+ζ	ζ²+ζ⁴	1+ζ⁴	ζ+ζ³	ζ³+ζ⁴	1+ζ²	0	0	0	0	0
χ₂₁	10	$\frac{- 5 + 5 \sqrt{5}}{2}$	$\frac{- 5 - 5 \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	10	$\frac{- 5 + 5 \sqrt{5}}{2}$	$\frac{- 5 - 5 \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	10	$\frac{- 5 - 5 \sqrt{5}}{2}$	$\frac{- 5 + 5 \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	10	$\frac{- 5 - 5 \sqrt{5}}{2}$	$\frac{- 5 + 5 \sqrt{5}}{2}$	0	0	0	0	0	0	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	ζ	ζ²	ζ³	ζ⁴	1	1	ζ	ζ	ζ²	ζ²	ζ³	ζ³	ζ⁴	ζ⁴	1	ζ	ζ²	ζ³	ζ⁴	-1	-1	-1	−ζ	−ζ²	−ζ³	−ζ⁴	-1	-1	−ζ	−ζ	−ζ²	−ζ²	−ζ³	−ζ³	−ζ⁴	−ζ⁴	-1	−ζ	−ζ²	−ζ³	−ζ⁴
χ₂₆	1	1	1	ζ	ζ²	ζ³	ζ⁴	1	1	ζ	ζ	ζ²	ζ²	ζ³	ζ³	ζ⁴	ζ⁴	-1	−ζ	−ζ²	−ζ³	−ζ⁴	-1	-1	-1	−ζ	−ζ²	−ζ³	−ζ⁴	-1	-1	−ζ	−ζ	−ζ²	−ζ²	−ζ³	−ζ³	−ζ⁴	−ζ⁴	1	ζ	ζ²	ζ³	ζ⁴
χ₂₇	1	1	1	ζ²	ζ⁴	ζ	ζ³	1	1	ζ²	ζ²	ζ⁴	ζ⁴	ζ	ζ	ζ³	ζ³	1	ζ²	ζ⁴	ζ	ζ³	-1	-1	-1	−ζ²	−ζ⁴	−ζ	−ζ³	-1	-1	−ζ²	−ζ²	−ζ⁴	−ζ⁴	−ζ	−ζ	−ζ³	−ζ³	-1	−ζ²	−ζ⁴	−ζ	−ζ³
χ₂₈	1	1	1	ζ²	ζ⁴	ζ	ζ³	1	1	ζ²	ζ²	ζ⁴	ζ⁴	ζ	ζ	ζ³	ζ³	-1	−ζ²	−ζ⁴	−ζ	−ζ³	-1	-1	-1	−ζ²	−ζ⁴	−ζ	−ζ³	-1	-1	−ζ²	−ζ²	−ζ⁴	−ζ⁴	−ζ	−ζ	−ζ³	−ζ³	1	ζ²	ζ⁴	ζ	ζ³
χ₂₉	1	1	1	ζ³	ζ	ζ⁴	ζ²	1	1	ζ³	ζ³	ζ	ζ	ζ⁴	ζ⁴	ζ²	ζ²	1	ζ³	ζ	ζ⁴	ζ²	-1	-1	-1	−ζ³	−ζ	−ζ⁴	−ζ²	-1	-1	−ζ³	−ζ³	−ζ	−ζ	−ζ⁴	−ζ⁴	−ζ²	−ζ²	-1	−ζ³	−ζ	−ζ⁴	−ζ²
χ₃₀	1	1	1	ζ³	ζ	ζ⁴	ζ²	1	1	ζ³	ζ³	ζ	ζ	ζ⁴	ζ⁴	ζ²	ζ²	-1	−ζ³	−ζ	−ζ⁴	−ζ²	-1	-1	-1	−ζ³	−ζ	−ζ⁴	−ζ²	-1	-1	−ζ³	−ζ³	−ζ	−ζ	−ζ⁴	−ζ⁴	−ζ²	−ζ²	1	ζ³	ζ	ζ⁴	ζ²
χ₃₁	1	1	1	ζ⁴	ζ³	ζ²	ζ	1	1	ζ⁴	ζ⁴	ζ³	ζ³	ζ²	ζ²	ζ	ζ	1	ζ⁴	ζ³	ζ²	ζ	-1	-1	-1	−ζ⁴	−ζ³	−ζ²	−ζ	-1	-1	−ζ⁴	−ζ⁴	−ζ³	−ζ³	−ζ²	−ζ²	−ζ	−ζ	-1	−ζ⁴	−ζ³	−ζ²	−ζ
χ₃₂	1	1	1	ζ⁴	ζ³	ζ²	ζ	1	1	ζ⁴	ζ⁴	ζ³	ζ³	ζ²	ζ²	ζ	ζ	-1	−ζ⁴	−ζ³	−ζ²	−ζ	-1	-1	-1	−ζ⁴	−ζ³	−ζ²	−ζ	-1	-1	−ζ⁴	−ζ⁴	−ζ³	−ζ³	−ζ²	−ζ²	−ζ	−ζ	1	ζ⁴	ζ³	ζ²	ζ
χ₃₃	2	2	2	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0
χ₃₄	2	2	2	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0
χ₃₅	2	2	2	2ζ	2ζ²	2ζ³	2ζ⁴	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	1+ζ²	ζ³+ζ⁴	ζ+ζ³	1+ζ⁴	ζ²+ζ⁴	1+ζ	1+ζ³	ζ+ζ²	0	0	0	0	0	-2	-2	-2	−2ζ	−2ζ²	−2ζ³	−2ζ⁴	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−1−ζ²	−ζ³−ζ⁴	−ζ−ζ³	−1−ζ⁴	−ζ²−ζ⁴	−1−ζ	−1−ζ³	−ζ−ζ²	0	0	0	0	0
χ₃₆	2	2	2	2ζ	2ζ²	2ζ³	2ζ⁴	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ³+ζ⁴	1+ζ²	1+ζ⁴	ζ+ζ³	1+ζ	ζ²+ζ⁴	ζ+ζ²	1+ζ³	0	0	0	0	0	-2	-2	-2	−2ζ	−2ζ²	−2ζ³	−2ζ⁴	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ³−ζ⁴	−1−ζ²	−1−ζ⁴	−ζ−ζ³	−1−ζ	−ζ²−ζ⁴	−ζ−ζ²	−1−ζ³	0	0	0	0	0
χ₃₇	2	2	2	2ζ²	2ζ⁴	2ζ	2ζ³	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ+ζ³	1+ζ⁴	1+ζ³	ζ+ζ²	1+ζ²	ζ³+ζ⁴	ζ²+ζ⁴	1+ζ	0	0	0	0	0	-2	-2	-2	−2ζ²	−2ζ⁴	−2ζ	−2ζ³	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ−ζ³	−1−ζ⁴	−1−ζ³	−ζ−ζ²	−1−ζ²	−ζ³−ζ⁴	−ζ²−ζ⁴	−1−ζ	0	0	0	0	0
χ₃₈	2	2	2	2ζ²	2ζ⁴	2ζ	2ζ³	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	1+ζ⁴	ζ+ζ³	ζ+ζ²	1+ζ³	ζ³+ζ⁴	1+ζ²	1+ζ	ζ²+ζ⁴	0	0	0	0	0	-2	-2	-2	−2ζ²	−2ζ⁴	−2ζ	−2ζ³	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−1−ζ⁴	−ζ−ζ³	−ζ−ζ²	−1−ζ³	−ζ³−ζ⁴	−1−ζ²	−1−ζ	−ζ²−ζ⁴	0	0	0	0	0
χ₃₉	2	2	2	2ζ³	2ζ	2ζ⁴	2ζ²	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ²+ζ⁴	1+ζ	1+ζ²	ζ³+ζ⁴	1+ζ³	ζ+ζ²	ζ+ζ³	1+ζ⁴	0	0	0	0	0	-2	-2	-2	−2ζ³	−2ζ	−2ζ⁴	−2ζ²	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ²−ζ⁴	−1−ζ	−1−ζ²	−ζ³−ζ⁴	−1−ζ³	−ζ−ζ²	−ζ−ζ³	−1−ζ⁴	0	0	0	0	0
χ₄₀	2	2	2	2ζ³	2ζ	2ζ⁴	2ζ²	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	1+ζ	ζ²+ζ⁴	ζ³+ζ⁴	1+ζ²	ζ+ζ²	1+ζ³	1+ζ⁴	ζ+ζ³	0	0	0	0	0	-2	-2	-2	−2ζ³	−2ζ	−2ζ⁴	−2ζ²	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−1−ζ	−ζ²−ζ⁴	−ζ³−ζ⁴	−1−ζ²	−ζ−ζ²	−1−ζ³	−1−ζ⁴	−ζ−ζ³	0	0	0	0	0
χ₄₁	2	2	2	2ζ⁴	2ζ³	2ζ²	2ζ	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	1+ζ³	ζ+ζ²	ζ²+ζ⁴	1+ζ	ζ+ζ³	1+ζ⁴	1+ζ²	ζ³+ζ⁴	0	0	0	0	0	-2	-2	-2	−2ζ⁴	−2ζ³	−2ζ²	−2ζ	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−1−ζ³	−ζ−ζ²	−ζ²−ζ⁴	−1−ζ	−ζ−ζ³	−1−ζ⁴	−1−ζ²	−ζ³−ζ⁴	0	0	0	0	0
χ₄₂	2	2	2	2ζ⁴	2ζ³	2ζ²	2ζ	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ+ζ²	1+ζ³	1+ζ	ζ²+ζ⁴	1+ζ⁴	ζ+ζ³	ζ³+ζ⁴	1+ζ²	0	0	0	0	0	-2	-2	-2	−2ζ⁴	−2ζ³	−2ζ²	−2ζ	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ−ζ²	−1−ζ³	−1−ζ	−ζ²−ζ⁴	−1−ζ⁴	−ζ−ζ³	−ζ³−ζ⁴	−1−ζ²	0	0	0	0	0
χ₄₃	10	$\frac{- 5 + 5 \sqrt{5}}{2}$	$\frac{- 5 - 5 \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-10	$\frac{5 - 5 \sqrt{5}}{2}$	$\frac{5 + 5 \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	10	$\frac{- 5 - 5 \sqrt{5}}{2}$	$\frac{- 5 + 5 \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-10	$\frac{5 + 5 \sqrt{5}}{2}$	$\frac{5 - 5 \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #92545