Group #1228 — character table

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃
size	1	2	2	3	6	6	8	8	8	8	8	30	30
order	1	5	5	2	10	10	3	15	15	15	15	2	4
χ₁	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
χ₃	2	2	2	2	2	2	-1	-1	-1	-1	-1	0	0
χ₄	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0
χ₅	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ⁴+ζ¹¹	ζ+ζ¹⁴	0	0
χ₆	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ+ζ¹⁴	ζ⁴+ζ¹¹	0	0
χ₇	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0
χ₈	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ⁷+ζ⁸	ζ²+ζ¹³	0	0
χ₉	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ²+ζ¹³	ζ⁷+ζ⁸	0	0
χ₁₀	3	3	3	-1	-1	-1	0	0	0	0	0	1	-1
χ₁₁	3	3	3	-1	-1	-1	0	0	0	0	0	-1	1
χ₁₂	6	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0
χ₁₃	6	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0

Character table — Group #1228