Group #4384 — 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
size	1	2	2	2	2	2	2	2	15	2	4	4	4	4	4	4	4	30	3	6	6	6	6	6	6	6	45
order	1	3	5	5	15	15	15	15	2	3	3	15	15	15	15	15	15	6	2	6	10	10	30	30	30	30	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
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
χ₃	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0
χ₄	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0
χ₅	2	-1	2	2	-1	-1	-1	-1	0	2	-1	2	2	-1	-1	-1	-1	0	2	-1	2	2	-1	-1	-1	-1	0
χ₆	2	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ⁴+ζ¹¹	ζ+ζ¹⁴	0	2	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ⁴+ζ¹¹	ζ+ζ¹⁴	0	2	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ⁴+ζ¹¹	ζ+ζ¹⁴	0
χ₇	2	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ+ζ¹⁴	ζ⁴+ζ¹¹	0	2	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ+ζ¹⁴	ζ⁴+ζ¹¹	0	2	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ+ζ¹⁴	ζ⁴+ζ¹¹	0
χ₈	2	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ⁷+ζ⁸	ζ²+ζ¹³	0	2	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ⁷+ζ⁸	ζ²+ζ¹³	0	2	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ⁷+ζ⁸	ζ²+ζ¹³	0
χ₉	2	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ²+ζ¹³	ζ⁷+ζ⁸	0	2	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ²+ζ¹³	ζ⁷+ζ⁸	0	2	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ²+ζ¹³	ζ⁷+ζ⁸	0
χ₁₀	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₁	1	1	1	1	1	1	1	1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1
χ₁₂	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	-2	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0
χ₁₃	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	-2	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0
χ₁₄	2	-1	2	2	-1	-1	-1	-1	0	2	-1	2	2	-1	-1	-1	-1	0	-2	1	-2	-2	1	1	1	1	0
χ₁₅	2	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ⁴+ζ¹¹	ζ+ζ¹⁴	0	2	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ⁴+ζ¹¹	ζ+ζ¹⁴	0	-2	1	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ²−ζ¹³	−ζ⁷−ζ⁸	−ζ⁴−ζ¹¹	−ζ−ζ¹⁴	0
χ₁₆	2	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ+ζ¹⁴	ζ⁴+ζ¹¹	0	2	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ+ζ¹⁴	ζ⁴+ζ¹¹	0	-2	1	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ⁷−ζ⁸	−ζ²−ζ¹³	−ζ−ζ¹⁴	−ζ⁴−ζ¹¹	0
χ₁₇	2	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ⁷+ζ⁸	ζ²+ζ¹³	0	2	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ⁷+ζ⁸	ζ²+ζ¹³	0	-2	1	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ⁴−ζ¹¹	−ζ−ζ¹⁴	−ζ⁷−ζ⁸	−ζ²−ζ¹³	0
χ₁₈	2	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ²+ζ¹³	ζ⁷+ζ⁸	0	2	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ²+ζ¹³	ζ⁷+ζ⁸	0	-2	1	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ−ζ¹⁴	−ζ⁴−ζ¹¹	−ζ²−ζ¹³	−ζ⁷−ζ⁸	0
χ₁₉	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0
χ₂₀	2	2	2	2	2	2	2	2	-2	-1	-1	-1	-1	-1	-1	-1	-1	1	0	0	0	0	0	0	0	0	0
χ₂₁	4	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	0	-2	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	0	-2	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	-2	4	4	-2	-2	-2	-2	0	-2	1	-2	-2	1	1	1	1	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	-2	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	2ζ²+2ζ¹³	2ζ⁷+2ζ⁸	2ζ⁴+2ζ¹¹	2ζ+2ζ¹⁴	0	-2	1	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ²−ζ¹³	−ζ⁷−ζ⁸	−ζ⁴−ζ¹¹	−ζ−ζ¹⁴	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	-2	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	2ζ⁷+2ζ⁸	2ζ²+2ζ¹³	2ζ+2ζ¹⁴	2ζ⁴+2ζ¹¹	0	-2	1	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ⁷−ζ⁸	−ζ²−ζ¹³	−ζ−ζ¹⁴	−ζ⁴−ζ¹¹	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	-2	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	2ζ⁴+2ζ¹¹	2ζ+2ζ¹⁴	2ζ⁷+2ζ⁸	2ζ²+2ζ¹³	0	-2	1	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ⁴−ζ¹¹	−ζ−ζ¹⁴	−ζ⁷−ζ⁸	−ζ²−ζ¹³	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	-2	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	2ζ+2ζ¹⁴	2ζ⁴+2ζ¹¹	2ζ²+2ζ¹³	2ζ⁷+2ζ⁸	0	-2	1	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ−ζ¹⁴	−ζ⁴−ζ¹¹	−ζ²−ζ¹³	−ζ⁷−ζ⁸	0	0	0	0	0	0	0	0	0	0

Character table — Group #4384