Group #72267871 — 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	C₂₈	C₂₉	C₃₀	C₃₁	C₃₂	C₃₃	C₃₄	C₃₅	C₃₆	C₃₇	C₃₈
size	1	1	5	5	5	5	5	5	40	40	40	40	40	40	40	40	80	80	160	160	160	160	160	160	160	160	160	160	160	160	160	160	160	160	512	512	512	512
order	1	2	2	2	2	2	2	2	4	4	4	4	4	4	4	4	4	4	4	4	4	4	8	8	8	8	8	8	8	8	8	8	8	8	5	5	10	10
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	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	-1	-1	-1	-1	-1	-1	-1	1	1	1	1
χ₃	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$
χ₄	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$
χ₅	4	-4	4	4	4	-4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-2	-2	-1	-1	1	1
χ₆	4	-4	4	4	4	-4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	2	2	-1	-1	1	1
χ₇	5	5	5	5	5	5	5	5	1	1	1	1	1	-3	-3	1	1	-3	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0
χ₈	5	5	5	5	5	5	5	5	1	1	1	1	1	-3	-3	1	1	-3	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	0	0	0	0
χ₉	5	5	5	5	5	5	5	5	1	1	1	-3	-3	1	1	1	-3	1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	0	0	0	0
χ₁₀	5	5	5	5	5	5	5	5	1	1	1	-3	-3	1	1	1	-3	1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	0	0	0	0
χ₁₁	5	5	5	5	5	5	5	5	-3	-3	-3	1	1	1	1	-3	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	0
χ₁₂	5	5	5	5	5	5	5	5	-3	-3	-3	1	1	1	1	-3	1	1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	0	0	0	0
χ₁₃	8	-8	8	8	8	-8	-8	-8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$
χ₁₄	8	-8	8	8	8	-8	-8	-8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$
χ₁₅	10	10	2	-6	2	2	-6	2	2	2	-2	2	2	2	2	-2	-2	-2	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₆	10	10	2	-6	2	2	-6	2	2	2	-2	2	2	2	2	-2	-2	-2	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₇	10	10	2	-6	2	2	-6	2	2	2	-2	-2	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	0	0	0	0	0
χ₁₈	10	10	2	-6	2	2	-6	2	2	2	-2	-2	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	0	0	0	0	0
χ₁₉	10	10	2	-6	2	2	-6	2	-2	-2	2	2	2	-2	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	2	-2	0	0	0	0
χ₂₀	10	10	2	-6	2	2	-6	2	-2	-2	2	2	2	-2	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	-2	2	0	0	0	0
χ₂₁	10	10	2	-6	2	2	-6	2	-2	-2	2	-2	-2	2	2	2	2	-2	2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	10	10	2	-6	2	2	-6	2	-2	-2	2	-2	-2	2	2	2	2	-2	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	10	-10	2	2	-6	6	-2	-2	2	-2	2	0	0	4	-4	-2	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0
χ₂₄	10	-10	2	2	-6	6	-2	-2	2	-2	2	0	0	4	-4	-2	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0
χ₂₅	10	-10	2	2	-6	6	-2	-2	2	-2	2	0	0	-4	4	-2	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0
χ₂₆	10	-10	2	2	-6	6	-2	-2	2	-2	2	0	0	-4	4	-2	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0
χ₂₇	10	-10	-6	2	2	-2	-2	6	2	-2	-2	$4 i$	$- 4 i$	0	0	2	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0
χ₂₈	10	-10	-6	2	2	-2	-2	6	2	-2	-2	$4 i$	$- 4 i$	0	0	2	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0
χ₂₉	10	-10	-6	2	2	-2	-2	6	2	-2	-2	$- 4 i$	$4 i$	0	0	2	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0
χ₃₀	10	-10	-6	2	2	-2	-2	6	2	-2	-2	$- 4 i$	$4 i$	0	0	2	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0
χ₃₁	20	20	4	4	-12	-12	4	4	0	0	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	20	20	4	4	-12	-12	4	4	0	0	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	20	20	-12	4	4	4	4	-12	0	0	0	0	0	0	0	0	0	0	2	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	20	20	-12	4	4	4	4	-12	0	0	0	0	0	0	0	0	0	0	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	20	-20	4	4	-12	12	-4	-4	-4	4	-4	0	0	0	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	20	-20	4	-12	4	-4	12	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	-2	2	0	0	0	0
χ₃₇	20	-20	4	-12	4	-4	12	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	2	-2	0	0	0	0
χ₃₈	20	-20	-12	4	4	-4	-4	12	-4	4	4	0	0	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #72267871