Group #72209606 — 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
size	1	1	1	1	10	10	20	20	80	80	80	80	120	120	160	160	160	160	160	160	192	192	192	192	192	192	192	192	240	240	240
order	1	2	2	2	2	2	4	4	3	6	6	6	4	4	6	6	6	6	12	12	5	5	10	10	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	1	1	1	1	1
χ₂	2	-2	2	-2	2	-2	2	-2	-1	1	1	-1	0	0	1	1	-1	-1	1	-1	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0
χ₃	2	-2	2	-2	2	-2	2	-2	-1	1	1	-1	0	0	1	1	-1	-1	1	-1	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0
χ₄	3	3	3	3	3	3	3	3	0	0	0	0	-1	-1	0	0	0	0	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	-1	-1
χ₅	3	3	3	3	3	3	3	3	0	0	0	0	-1	-1	0	0	0	0	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	-1	-1
χ₆	4	4	4	4	4	4	4	4	1	1	1	1	0	0	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0
χ₇	4	4	-4	-4	0	0	0	0	-2	2	-2	2	2	-2	0	0	0	0	0	0	-1	-1	1	-1	1	1	-1	1	0	0	0
χ₈	4	-4	4	-4	4	-4	4	-4	1	-1	-1	1	0	0	-1	-1	1	1	-1	1	-1	-1	1	1	-1	1	1	-1	0	0	0
χ₉	5	5	5	5	5	5	5	5	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	1
χ₁₀	5	5	5	5	-3	-3	1	1	2	2	2	2	1	1	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	1	-1	-1
χ₁₁	5	5	5	5	-3	-3	1	1	-1	-1	-1	-1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	1	1	0	0	0	0	0	0	0	0	1	-1	-1
χ₁₂	5	5	5	5	-3	-3	1	1	-1	-1	-1	-1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	1	1	0	0	0	0	0	0	0	0	1	-1	-1
χ₁₃	6	-6	6	-6	6	-6	6	-6	0	0	0	0	0	0	0	0	0	0	0	0	1	1	-1	-1	1	-1	-1	1	0	0	0
χ₁₄	8	-8	-8	8	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0
χ₁₅	8	-8	-8	8	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0
χ₁₆	10	10	10	10	2	2	-2	-2	1	1	1	1	2	2	-1	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	-2	0	0
χ₁₇	10	10	10	10	2	2	-2	-2	1	1	1	1	-2	-2	-1	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	2	0	0
χ₁₈	10	-10	10	-10	2	-2	-2	2	1	-1	-1	1	0	0	1	1	-1	-1	-1	1	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$
χ₁₉	10	-10	10	-10	2	-2	-2	2	1	-1	-1	1	0	0	1	1	-1	-1	-1	1	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$
χ₂₀	10	-10	10	-10	-6	6	2	-2	1	-1	-1	1	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	1	-1	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	10	-10	10	-10	-6	6	2	-2	1	-1	-1	1	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	1	-1	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	10	-10	10	-10	-6	6	2	-2	-2	2	2	-2	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	12	12	-12	-12	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0
χ₂₄	12	12	-12	-12	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0
χ₂₅	15	15	15	15	-9	-9	3	3	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	1
χ₂₆	16	16	-16	-16	0	0	0	0	-2	2	-2	2	0	0	0	0	0	0	0	0	1	1	-1	1	-1	-1	1	-1	0	0	0
χ₂₇	16	-16	-16	16	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	1	1	1	-1	-1	1	-1	-1	0	0	0
χ₂₈	20	20	20	20	4	4	-4	-4	-1	-1	-1	-1	0	0	1	1	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	20	20	-20	-20	0	0	0	0	2	-2	2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	20	-20	20	-20	4	-4	-4	4	-1	1	1	-1	0	0	-1	-1	1	1	1	-1	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	24	-24	-24	24	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	1	1	-1	1	1	0	0	0

Character table — Group #72209606