Group #13089526 — character table

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁	C₂₂
size	1	36	45	72	72	72	72	80	90	90	90	1	36	45	72	72	72	72	80	90	90	90
order	1	2	2	5	5	10	10	3	4	8	8	2	2	2	10	10	10	10	6	4	8	8
χ₁	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
χ₃	8	2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	0	0	0	8	2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	0	0	0
χ₄	8	2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	0	0	0	8	2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	0	0	0
χ₅	8	-2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	0	0	8	-2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	0	0
χ₆	8	-2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	0	0	8	-2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	0	0
χ₇	9	1	1	-1	-1	1	1	0	1	-1	-1	9	1	1	-1	-1	1	1	0	1	-1	-1
χ₈	9	-1	1	-1	-1	-1	-1	0	1	1	1	9	-1	1	-1	-1	-1	-1	0	1	1	1
χ₉	10	0	2	0	0	0	0	1	-2	0	0	10	0	2	0	0	0	0	1	-2	0	0
χ₁₀	10	0	-2	0	0	0	0	1	0	$\sqrt{2}$	$- \sqrt{2}$	10	0	-2	0	0	0	0	1	0	$\sqrt{2}$	$- \sqrt{2}$
χ₁₁	10	0	-2	0	0	0	0	1	0	$- \sqrt{2}$	$\sqrt{2}$	10	0	-2	0	0	0	0	1	0	$- \sqrt{2}$	$\sqrt{2}$
χ₁₂	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₃	1	-1	1	1	1	-1	-1	1	1	-1	-1	-1	1	-1	-1	-1	1	1	-1	-1	1	1
χ₁₄	8	2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	0	0	0	-8	-2	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	1	0	0	0
χ₁₅	8	2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	0	0	0	-8	-2	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	1	0	0	0
χ₁₆	8	-2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	0	0	-8	2	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	1	0	0	0
χ₁₇	8	-2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	0	0	-8	2	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	1	0	0	0
χ₁₈	9	1	1	-1	-1	1	1	0	1	-1	-1	-9	-1	-1	1	1	-1	-1	0	-1	1	1
χ₁₉	9	-1	1	-1	-1	-1	-1	0	1	1	1	-9	1	-1	1	1	1	1	0	-1	-1	-1
χ₂₀	10	0	2	0	0	0	0	1	-2	0	0	-10	0	-2	0	0	0	0	-1	2	0	0
χ₂₁	10	0	-2	0	0	0	0	1	0	$\sqrt{2}$	$- \sqrt{2}$	-10	0	2	0	0	0	0	-1	0	$- \sqrt{2}$	$\sqrt{2}$
χ₂₂	10	0	-2	0	0	0	0	1	0	$- \sqrt{2}$	$\sqrt{2}$	-10	0	2	0	0	0	0	-1	0	$\sqrt{2}$	$- \sqrt{2}$

Character table — Group #13089526