Group #782 — 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
size	1	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	45
order	1	3	3	3	3	5	5	15	15	15	15	15	15	15	15	15	15	15	15	15	15	15	15	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
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
χ₃	2	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0
χ₄	2	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0
χ₅	2	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	0
χ₆	2	2	-1	-1	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ²+ζ¹³	ζ²+ζ¹³	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ⁷+ζ⁸	ζ⁷+ζ⁸	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁴+ζ¹¹	ζ⁴+ζ¹¹	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ+ζ¹⁴	ζ+ζ¹⁴	0
χ₇	2	2	-1	-1	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁷+ζ⁸	ζ⁷+ζ⁸	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ²+ζ¹³	ζ²+ζ¹³	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ+ζ¹⁴	ζ+ζ¹⁴	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ⁴+ζ¹¹	ζ⁴+ζ¹¹	0
χ₈	2	2	-1	-1	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁴+ζ¹¹	ζ⁴+ζ¹¹	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ+ζ¹⁴	ζ+ζ¹⁴	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁷+ζ⁸	ζ⁷+ζ⁸	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ²+ζ¹³	ζ²+ζ¹³	0
χ₉	2	2	-1	-1	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ+ζ¹⁴	ζ+ζ¹⁴	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ⁴+ζ¹¹	ζ⁴+ζ¹¹	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ²+ζ¹³	ζ²+ζ¹³	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ⁷+ζ⁸	ζ⁷+ζ⁸	0
χ₁₀	2	-1	2	-1	-1	2	2	-1	-1	2	-1	-1	2	-1	-1	-1	-1	2	-1	-1	2	-1	-1	0
χ₁₁	2	-1	2	-1	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ²+ζ¹³	ζ⁷+ζ⁸	$\frac{- 1 + \sqrt{5}}{2}$	ζ²+ζ¹³	ζ⁷+ζ⁸	$\frac{- 1 + \sqrt{5}}{2}$	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ⁴+ζ¹¹	ζ+ζ¹⁴	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁴+ζ¹¹	ζ+ζ¹⁴	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁴+ζ¹¹	ζ+ζ¹⁴	0
χ₁₂	2	-1	2	-1	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁷+ζ⁸	ζ²+ζ¹³	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁷+ζ⁸	ζ²+ζ¹³	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ+ζ¹⁴	ζ⁴+ζ¹¹	$\frac{- 1 - \sqrt{5}}{2}$	ζ+ζ¹⁴	ζ⁴+ζ¹¹	$\frac{- 1 - \sqrt{5}}{2}$	ζ+ζ¹⁴	ζ⁴+ζ¹¹	0
χ₁₃	2	-1	2	-1	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁴+ζ¹¹	ζ+ζ¹⁴	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁴+ζ¹¹	ζ+ζ¹⁴	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ⁷+ζ⁸	ζ²+ζ¹³	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁷+ζ⁸	ζ²+ζ¹³	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁷+ζ⁸	ζ²+ζ¹³	0
χ₁₄	2	-1	2	-1	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ+ζ¹⁴	ζ⁴+ζ¹¹	$\frac{- 1 - \sqrt{5}}{2}$	ζ+ζ¹⁴	ζ⁴+ζ¹¹	$\frac{- 1 - \sqrt{5}}{2}$	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ²+ζ¹³	ζ⁷+ζ⁸	$\frac{- 1 + \sqrt{5}}{2}$	ζ²+ζ¹³	ζ⁷+ζ⁸	$\frac{- 1 + \sqrt{5}}{2}$	ζ²+ζ¹³	ζ⁷+ζ⁸	0
χ₁₅	2	-1	-1	2	-1	2	2	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	2	0
χ₁₆	2	-1	-1	2	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ⁷+ζ⁸	$\frac{- 1 + \sqrt{5}}{2}$	ζ²+ζ¹³	ζ²+ζ¹³	ζ⁷+ζ⁸	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ+ζ¹⁴	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁴+ζ¹¹	ζ⁴+ζ¹¹	ζ+ζ¹⁴	$\frac{- 1 - \sqrt{5}}{2}$	0
χ₁₇	2	-1	-1	2	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ²+ζ¹³	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁷+ζ⁸	ζ⁷+ζ⁸	ζ²+ζ¹³	$\frac{- 1 + \sqrt{5}}{2}$	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ⁴+ζ¹¹	$\frac{- 1 - \sqrt{5}}{2}$	ζ+ζ¹⁴	ζ+ζ¹⁴	ζ⁴+ζ¹¹	$\frac{- 1 - \sqrt{5}}{2}$	0
χ₁₈	2	-1	-1	2	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ+ζ¹⁴	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁴+ζ¹¹	ζ⁴+ζ¹¹	ζ+ζ¹⁴	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ²+ζ¹³	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁷+ζ⁸	ζ⁷+ζ⁸	ζ²+ζ¹³	$\frac{- 1 + \sqrt{5}}{2}$	0
χ₁₉	2	-1	-1	2	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ⁴+ζ¹¹	$\frac{- 1 - \sqrt{5}}{2}$	ζ+ζ¹⁴	ζ+ζ¹⁴	ζ⁴+ζ¹¹	$\frac{- 1 - \sqrt{5}}{2}$	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ⁷+ζ⁸	$\frac{- 1 + \sqrt{5}}{2}$	ζ²+ζ¹³	ζ²+ζ¹³	ζ⁷+ζ⁸	$\frac{- 1 + \sqrt{5}}{2}$	0
χ₂₀	2	-1	-1	-1	2	2	2	-1	-1	-1	-1	2	-1	2	-1	-1	-1	-1	-1	2	-1	2	-1	0
χ₂₁	2	-1	-1	-1	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ⁷+ζ⁸	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁷+ζ⁸	$\frac{- 1 + \sqrt{5}}{2}$	ζ²+ζ¹³	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ+ζ¹⁴	$\frac{- 1 - \sqrt{5}}{2}$	ζ+ζ¹⁴	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁴+ζ¹¹	0
χ₂₂	2	-1	-1	-1	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ²+ζ¹³	$\frac{- 1 + \sqrt{5}}{2}$	ζ²+ζ¹³	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁷+ζ⁸	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ⁴+ζ¹¹	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁴+ζ¹¹	$\frac{- 1 - \sqrt{5}}{2}$	ζ+ζ¹⁴	0
χ₂₃	2	-1	-1	-1	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ+ζ¹⁴	$\frac{- 1 - \sqrt{5}}{2}$	ζ+ζ¹⁴	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁴+ζ¹¹	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ²+ζ¹³	$\frac{- 1 + \sqrt{5}}{2}$	ζ²+ζ¹³	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁷+ζ⁸	0
χ₂₄	2	-1	-1	-1	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ⁴+ζ¹¹	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁴+ζ¹¹	$\frac{- 1 - \sqrt{5}}{2}$	ζ+ζ¹⁴	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ⁷+ζ⁸	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁷+ζ⁸	$\frac{- 1 + \sqrt{5}}{2}$	ζ²+ζ¹³	0

Character table — Group #782