Group #72227948 — 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
size	1	40	40	45	72	72	90	1	40	40	45	72	72	90	2	80	80	90	144	144	180	2	80	80	90	144	144	180	2	80	80	90	144	144	180
order	1	3	3	2	5	5	4	2	6	6	2	10	10	4	2	6	6	2	10	10	4	2	6	6	2	10	10	4	4	12	12	4	20	20	4
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
χ₂	5	2	-1	1	0	0	-1	5	2	-1	1	0	0	-1	5	2	-1	1	0	0	-1	5	2	-1	1	0	0	-1	5	2	-1	1	0	0	-1
χ₃	5	-1	2	1	0	0	-1	5	-1	2	1	0	0	-1	5	-1	2	1	0	0	-1	5	-1	2	1	0	0	-1	5	-1	2	1	0	0	-1
χ₄	8	-1	-1	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0
χ₅	8	-1	-1	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0
χ₆	9	0	0	1	-1	-1	1	9	0	0	1	-1	-1	1	9	0	0	1	-1	-1	1	9	0	0	1	-1	-1	1	9	0	0	1	-1	-1	1
χ₇	10	1	1	-2	0	0	0	10	1	1	-2	0	0	0	10	1	1	-2	0	0	0	10	1	1	-2	0	0	0	10	1	1	-2	0	0	0
χ₈	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
χ₉	5	2	-1	1	0	0	-1	5	2	-1	1	0	0	-1	5	2	-1	1	0	0	-1	-5	-2	1	-1	0	0	1	-5	-2	1	-1	0	0	1
χ₁₀	5	-1	2	1	0	0	-1	5	-1	2	1	0	0	-1	5	-1	2	1	0	0	-1	-5	1	-2	-1	0	0	1	-5	1	-2	-1	0	0	1
χ₁₁	8	-1	-1	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	-8	1	1	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	-8	1	1	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0
χ₁₂	8	-1	-1	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	-8	1	1	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	-8	1	1	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0
χ₁₃	9	0	0	1	-1	-1	1	9	0	0	1	-1	-1	1	9	0	0	1	-1	-1	1	-9	0	0	-1	1	1	-1	-9	0	0	-1	1	1	-1
χ₁₄	10	1	1	-2	0	0	0	10	1	1	-2	0	0	0	10	1	1	-2	0	0	0	-10	-1	-1	2	0	0	0	-10	-1	-1	2	0	0	0
χ₁₅	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
χ₁₆	5	2	-1	1	0	0	-1	5	2	-1	1	0	0	-1	-5	-2	1	-1	0	0	1	5	2	-1	1	0	0	-1	-5	-2	1	-1	0	0	1
χ₁₇	5	-1	2	1	0	0	-1	5	-1	2	1	0	0	-1	-5	1	-2	-1	0	0	1	5	-1	2	1	0	0	-1	-5	1	-2	-1	0	0	1
χ₁₈	8	-1	-1	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	-8	1	1	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	-8	1	1	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0
χ₁₉	8	-1	-1	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	-8	1	1	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	-8	1	1	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0
χ₂₀	9	0	0	1	-1	-1	1	9	0	0	1	-1	-1	1	-9	0	0	-1	1	1	-1	9	0	0	1	-1	-1	1	-9	0	0	-1	1	1	-1
χ₂₁	10	1	1	-2	0	0	0	10	1	1	-2	0	0	0	-10	-1	-1	2	0	0	0	10	1	1	-2	0	0	0	-10	-1	-1	2	0	0	0
χ₂₂	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
χ₂₃	5	2	-1	1	0	0	-1	5	2	-1	1	0	0	-1	-5	-2	1	-1	0	0	1	-5	-2	1	-1	0	0	1	5	2	-1	1	0	0	-1
χ₂₄	5	-1	2	1	0	0	-1	5	-1	2	1	0	0	-1	-5	1	-2	-1	0	0	1	-5	1	-2	-1	0	0	1	5	-1	2	1	0	0	-1
χ₂₅	8	-1	-1	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	-8	1	1	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	-8	1	1	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0
χ₂₆	8	-1	-1	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	-8	1	1	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	-8	1	1	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	8	-1	-1	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0
χ₂₇	9	0	0	1	-1	-1	1	9	0	0	1	-1	-1	1	-9	0	0	-1	1	1	-1	-9	0	0	-1	1	1	-1	9	0	0	1	-1	-1	1
χ₂₈	10	1	1	-2	0	0	0	10	1	1	-2	0	0	0	-10	-1	-1	2	0	0	0	-10	-1	-1	2	0	0	0	10	1	1	-2	0	0	0
χ₂₉	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	0	0	0	0	0
χ₃₀	10	4	-2	2	0	0	-2	-10	-4	2	-2	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	10	-2	4	2	0	0	-2	-10	2	-4	-2	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	16	-2	-2	0	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	-16	2	2	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	16	-2	-2	0	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	-16	2	2	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	18	0	0	2	-2	-2	2	-18	0	0	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	20	2	2	-4	0	0	0	-20	-2	-2	4	0	0	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 #72227948