Group #13088281 — 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
size	1	1	40	40	40	40	72	72	72	72	90	90	90	1	1	40	40	40	40	72	72	72	72	90	90	90
order	1	2	3	3	6	6	5	5	10	10	4	8	8	2	2	6	6	6	6	10	10	10	10	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	1	1	1	1
χ₂	4	-4	1	-2	2	-1	-1	-1	1	1	0	0	0	4	-4	1	-2	2	-1	-1	-1	1	1	0	0	0
χ₃	4	-4	-2	1	-1	2	-1	-1	1	1	0	0	0	4	-4	-2	1	-1	2	-1	-1	1	1	0	0	0
χ₄	5	5	2	-1	-1	2	0	0	0	0	1	-1	-1	5	5	2	-1	-1	2	0	0	0	0	1	-1	-1
χ₅	5	5	-1	2	2	-1	0	0	0	0	1	-1	-1	5	5	-1	2	2	-1	0	0	0	0	1	-1	-1
χ₆	8	8	-1	-1	-1	-1	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	8	8	-1	-1	-1	-1	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0
χ₇	8	8	-1	-1	-1	-1	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	8	8	-1	-1	-1	-1	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0
χ₈	8	-8	-1	-1	1	1	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	8	-8	-1	-1	1	1	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0
χ₉	8	-8	-1	-1	1	1	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	8	-8	-1	-1	1	1	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0
χ₁₀	9	9	0	0	0	0	-1	-1	-1	-1	1	1	1	9	9	0	0	0	0	-1	-1	-1	-1	1	1	1
χ₁₁	10	10	1	1	1	1	0	0	0	0	-2	0	0	10	10	1	1	1	1	0	0	0	0	-2	0	0
χ₁₂	10	-10	1	1	-1	-1	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	10	-10	1	1	-1	-1	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$
χ₁₃	10	-10	1	1	-1	-1	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	10	-10	1	1	-1	-1	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$
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
χ₁₅	4	-4	1	-2	2	-1	-1	-1	1	1	0	0	0	-4	4	-1	2	-2	1	1	1	-1	-1	0	0	0
χ₁₆	4	-4	-2	1	-1	2	-1	-1	1	1	0	0	0	-4	4	2	-1	1	-2	1	1	-1	-1	0	0	0
χ₁₇	5	5	2	-1	-1	2	0	0	0	0	1	-1	-1	-5	-5	-2	1	1	-2	0	0	0	0	-1	1	1
χ₁₈	5	5	-1	2	2	-1	0	0	0	0	1	-1	-1	-5	-5	1	-2	-2	1	0	0	0	0	-1	1	1
χ₁₉	8	8	-1	-1	-1	-1	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	-8	-8	1	1	1	1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0
χ₂₀	8	8	-1	-1	-1	-1	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	-8	-8	1	1	1	1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0
χ₂₁	8	-8	-1	-1	1	1	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	-8	8	1	1	-1	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0
χ₂₂	8	-8	-1	-1	1	1	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	-8	8	1	1	-1	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0
χ₂₃	9	9	0	0	0	0	-1	-1	-1	-1	1	1	1	-9	-9	0	0	0	0	1	1	1	1	-1	-1	-1
χ₂₄	10	10	1	1	1	1	0	0	0	0	-2	0	0	-10	-10	-1	-1	-1	-1	0	0	0	0	2	0	0
χ₂₅	10	-10	1	1	-1	-1	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	-10	10	-1	-1	1	1	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$
χ₂₆	10	-10	1	1	-1	-1	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	-10	10	-1	-1	1	1	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$

Character table — Group #13088281