Group #91501 — 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	C₄₅	C₄₆	C₄₇	C₄₈
size	1	1	2	2	2	4	4	4	4	6	6	12	2	2	4	4	4	8	8	8	8	12	12	24	2	2	4	4	4	8	8	8	8	12	12	24	5	5	10	10	10	20	20	20	20	30	30	60
order	1	2	3	4	6	4	12	12	12	8	8	2	5	10	15	20	30	20	60	60	60	40	40	10	5	10	15	20	30	20	60	60	60	40	40	10	2	2	6	4	6	4	12	12	12	8	8	2
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	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	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	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	1	1	1	1	1	1	-1	1	-1	-1	-1	-1	1
χ₅	2	2	2	-2	2	0	-2	0	0	0	0	0	2	2	2	-2	2	0	-2	0	0	0	0	0	2	2	2	-2	2	0	-2	0	0	0	0	0	2	2	2	-2	2	0	-2	0	0	0	0	0
χ₆	2	2	-1	2	-1	2	-1	-1	-1	0	0	0	2	2	-1	2	-1	2	-1	-1	-1	0	0	0	2	2	-1	2	-1	2	-1	-1	-1	0	0	0	2	2	-1	2	-1	2	-1	-1	-1	0	0	0
χ₇	2	2	-1	2	-1	-2	-1	1	1	0	0	0	2	2	-1	2	-1	-2	-1	1	1	0	0	0	2	2	-1	2	-1	-2	-1	1	1	0	0	0	2	2	-1	2	-1	-2	-1	1	1	0	0	0
χ₈	2	2	-1	-2	-1	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	2	2	-1	-2	-1	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	2	2	-1	-2	-1	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	2	2	-1	-2	-1	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0
χ₉	2	2	-1	-2	-1	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	2	2	-1	-2	-1	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	2	2	-1	-2	-1	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	2	2	-1	-2	-1	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0
χ₁₀	2	-2	2	0	-2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	-2	2	0	-2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	-2	2	0	-2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	-2	2	0	-2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₁₁	2	-2	2	0	-2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	-2	2	0	-2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	-2	2	0	-2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	-2	2	0	-2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₁₂	4	-4	-2	0	2	0	0	0	0	0	0	0	4	-4	-2	0	2	0	0	0	0	0	0	0	4	-4	-2	0	2	0	0	0	0	0	0	0	4	-4	-2	0	2	0	0	0	0	0	0	0
χ₁₃	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	-1	-1	-1	-1
χ₁₄	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	-1	1	1	1
χ₁₅	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	1	-1	-1	1
χ₁₆	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	1	1	1	-1
χ₁₇	2	2	2	-2	2	0	-2	0	0	0	0	0	2	2	2	-2	2	0	-2	0	0	0	0	0	2	2	2	-2	2	0	-2	0	0	0	0	0	-2	-2	-2	2	-2	0	2	0	0	0	0	0
χ₁₈	2	2	-1	2	-1	2	-1	-1	-1	0	0	0	2	2	-1	2	-1	2	-1	-1	-1	0	0	0	2	2	-1	2	-1	2	-1	-1	-1	0	0	0	-2	-2	1	-2	1	-2	1	1	1	0	0	0
χ₁₉	2	2	-1	2	-1	-2	-1	1	1	0	0	0	2	2	-1	2	-1	-2	-1	1	1	0	0	0	2	2	-1	2	-1	-2	-1	1	1	0	0	0	-2	-2	1	-2	1	2	1	-1	-1	0	0	0
χ₂₀	2	2	-1	-2	-1	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	2	2	-1	-2	-1	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	2	2	-1	-2	-1	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	-2	-2	1	2	1	0	-1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0
χ₂₁	2	2	-1	-2	-1	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	2	2	-1	-2	-1	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	2	2	-1	-2	-1	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	-2	-2	1	2	1	0	-1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0
χ₂₂	2	-2	2	0	-2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	-2	2	0	-2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	-2	2	0	-2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	-2	2	-2	0	2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₂₃	2	-2	2	0	-2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	-2	2	0	-2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	-2	2	0	-2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	-2	2	-2	0	2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₂₄	4	-4	-2	0	2	0	0	0	0	0	0	0	4	-4	-2	0	2	0	0	0	0	0	0	0	4	-4	-2	0	2	0	0	0	0	0	0	0	-4	4	2	0	-2	0	0	0	0	0	0	0
χ₂₅	2	2	2	2	2	2	2	2	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	2	2	2	2	2	2	2	2	2	-2	-2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	2	2	2	2	2	-2	2	-2	-2	2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	2	2	2	2	2	-2	2	-2	-2	-2	-2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	4	-4	4	0	-4	0	0	0	0	0	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	$1 - \sqrt{5}$	0	0	0	0	0	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	$1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	-2	4	-2	4	-2	-2	-2	0	0	0	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	4	-2	4	-2	-4	-2	2	2	0	0	0	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$1 - \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$1 + \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	4	-2	-4	-2	0	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$1 - \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	0	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁴−ζ⁴⁴+ζ⁷⁶−ζ¹¹⁶	−ζ⁴+ζ⁴⁴−ζ⁷⁶+ζ¹¹⁶	0	0	0	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$1 + \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	0	$\frac{- 1 - \sqrt{5}}{2}$	ζ²⁸+ζ⁵²−ζ⁶⁸−ζ⁹²	−ζ²⁸−ζ⁵²+ζ⁶⁸+ζ⁹²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	4	-2	-4	-2	0	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$1 - \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	0	$\frac{- 1 + \sqrt{5}}{2}$	−ζ⁴+ζ⁴⁴−ζ⁷⁶+ζ¹¹⁶	ζ⁴−ζ⁴⁴+ζ⁷⁶−ζ¹¹⁶	0	0	0	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$1 + \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	0	$\frac{- 1 - \sqrt{5}}{2}$	−ζ²⁸−ζ⁵²+ζ⁶⁸+ζ⁹²	ζ²⁸+ζ⁵²−ζ⁶⁸−ζ⁹²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	-4	4	0	-4	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	$1 - \sqrt{5}$	0	0	0	0	ζ²⁹+ζ³¹+ζ⁶¹+ζ⁷¹+ζ⁷⁹+ζ¹⁰¹+ζ¹⁰⁹+ζ¹¹⁹	−ζ²⁹−ζ³¹−ζ⁶¹−ζ⁷¹−ζ⁷⁹−ζ¹⁰¹−ζ¹⁰⁹−ζ¹¹⁹	0	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	$1 + \sqrt{5}$	0	0	0	0	ζ⁷+ζ¹³+ζ²³+ζ³⁷+ζ⁴⁷+ζ⁵³+ζ⁷⁷+ζ¹⁰³	−ζ⁷−ζ¹³−ζ²³−ζ³⁷−ζ⁴⁷−ζ⁵³−ζ⁷⁷−ζ¹⁰³	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	-4	4	0	-4	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	$1 - \sqrt{5}$	0	0	0	0	−ζ²⁹−ζ³¹−ζ⁶¹−ζ⁷¹−ζ⁷⁹−ζ¹⁰¹−ζ¹⁰⁹−ζ¹¹⁹	ζ²⁹+ζ³¹+ζ⁶¹+ζ⁷¹+ζ⁷⁹+ζ¹⁰¹+ζ¹⁰⁹+ζ¹¹⁹	0	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	$1 + \sqrt{5}$	0	0	0	0	−ζ⁷−ζ¹³−ζ²³−ζ³⁷−ζ⁴⁷−ζ⁵³−ζ⁷⁷−ζ¹⁰³	ζ⁷+ζ¹³+ζ²³+ζ³⁷+ζ⁴⁷+ζ⁵³+ζ⁷⁷+ζ¹⁰³	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	8	-8	-4	0	4	0	0	0	0	0	0	0	$- 2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$1 - \sqrt{5}$	0	$- 1 + \sqrt{5}$	0	0	0	0	0	0	0	$- 2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$1 + \sqrt{5}$	0	$- 1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	2	2	2	2	2	2	2	2	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	2	2	2	2	2	2	2	2	2	-2	-2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	2	2	2	2	2	-2	2	-2	-2	2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	2	2	2	2	2	-2	2	-2	-2	-2	-2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	4	4	-4	4	0	-4	0	0	0	0	0	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	$1 + \sqrt{5}$	0	0	0	0	0	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	$1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	4	4	-2	4	-2	4	-2	-2	-2	0	0	0	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	4	4	-2	4	-2	-4	-2	2	2	0	0	0	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$1 + \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$1 - \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	4	4	-2	-4	-2	0	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$1 + \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	0	$\frac{- 1 - \sqrt{5}}{2}$	ζ²⁸+ζ⁵²−ζ⁶⁸−ζ⁹²	−ζ²⁸−ζ⁵²+ζ⁶⁸+ζ⁹²	0	0	0	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$1 - \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	0	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁴−ζ⁴⁴+ζ⁷⁶−ζ¹¹⁶	−ζ⁴+ζ⁴⁴−ζ⁷⁶+ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	4	4	-2	-4	-2	0	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$1 + \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	0	$\frac{- 1 - \sqrt{5}}{2}$	−ζ²⁸−ζ⁵²+ζ⁶⁸+ζ⁹²	ζ²⁸+ζ⁵²−ζ⁶⁸−ζ⁹²	0	0	0	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$1 - \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	0	$\frac{- 1 + \sqrt{5}}{2}$	−ζ⁴+ζ⁴⁴−ζ⁷⁶+ζ¹¹⁶	ζ⁴−ζ⁴⁴+ζ⁷⁶−ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	4	-4	4	0	-4	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	$1 + \sqrt{5}$	0	0	0	0	ζ⁷+ζ¹³+ζ²³+ζ³⁷+ζ⁴⁷+ζ⁵³+ζ⁷⁷+ζ¹⁰³	−ζ⁷−ζ¹³−ζ²³−ζ³⁷−ζ⁴⁷−ζ⁵³−ζ⁷⁷−ζ¹⁰³	0	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	$1 - \sqrt{5}$	0	0	0	0	ζ²⁹+ζ³¹+ζ⁶¹+ζ⁷¹+ζ⁷⁹+ζ¹⁰¹+ζ¹⁰⁹+ζ¹¹⁹	−ζ²⁹−ζ³¹−ζ⁶¹−ζ⁷¹−ζ⁷⁹−ζ¹⁰¹−ζ¹⁰⁹−ζ¹¹⁹	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	4	-4	4	0	-4	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	$1 + \sqrt{5}$	0	0	0	0	−ζ⁷−ζ¹³−ζ²³−ζ³⁷−ζ⁴⁷−ζ⁵³−ζ⁷⁷−ζ¹⁰³	ζ⁷+ζ¹³+ζ²³+ζ³⁷+ζ⁴⁷+ζ⁵³+ζ⁷⁷+ζ¹⁰³	0	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	$1 - \sqrt{5}$	0	0	0	0	−ζ²⁹−ζ³¹−ζ⁶¹−ζ⁷¹−ζ⁷⁹−ζ¹⁰¹−ζ¹⁰⁹−ζ¹¹⁹	ζ²⁹+ζ³¹+ζ⁶¹+ζ⁷¹+ζ⁷⁹+ζ¹⁰¹+ζ¹⁰⁹+ζ¹¹⁹	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	8	-8	-4	0	4	0	0	0	0	0	0	0	$- 2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$1 + \sqrt{5}$	0	$- 1 - \sqrt{5}$	0	0	0	0	0	0	0	$- 2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$1 - \sqrt{5}$	0	$- 1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #91501