Group #72267196 — 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
size	1	1	10	20	60	60	80	80	120	160	160	160	192	192	192	192	240	1	1	10	20	60	60	80	80	120	160	160	160	192	192	192	192	240
order	1	2	2	4	4	4	3	6	4	6	6	12	5	5	10	10	8	2	2	2	4	4	4	6	6	4	6	6	12	10	10	10	10	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	1	1	1
χ₂	3	3	3	3	-1	-1	0	0	-1	0	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	3	3	3	3	-1	-1	0	0	-1	0	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1
χ₃	3	3	3	3	-1	-1	0	0	-1	0	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	3	3	3	3	-1	-1	0	0	-1	0	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1
χ₄	4	4	4	4	0	0	1	1	0	1	1	1	-1	-1	-1	-1	0	4	4	4	4	0	0	1	1	0	1	1	1	-1	-1	-1	-1	0
χ₅	4	-4	0	0	2	-2	-2	2	0	0	0	0	-1	-1	1	1	0	4	-4	0	0	2	-2	-2	2	0	0	0	0	-1	-1	1	1	0
χ₆	5	5	5	5	1	1	-1	-1	1	-1	-1	-1	0	0	0	0	1	5	5	5	5	1	1	-1	-1	1	-1	-1	-1	0	0	0	0	1
χ₇	5	5	-3	1	1	1	2	2	1	0	0	-2	0	0	0	0	-1	5	5	-3	1	1	1	2	2	1	0	0	-2	0	0	0	0	-1
χ₈	5	5	-3	1	1	1	-1	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	1	0	0	0	0	-1	5	5	-3	1	1	1	-1	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	1	0	0	0	0	-1
χ₉	5	5	-3	1	1	1	-1	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	1	0	0	0	0	-1	5	5	-3	1	1	1	-1	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	1	0	0	0	0	-1
χ₁₀	10	10	2	-2	2	2	1	1	-2	-1	-1	1	0	0	0	0	0	10	10	2	-2	2	2	1	1	-2	-1	-1	1	0	0	0	0	0
χ₁₁	10	10	2	-2	-2	-2	1	1	2	-1	-1	1	0	0	0	0	0	10	10	2	-2	-2	-2	1	1	2	-1	-1	1	0	0	0	0	0
χ₁₂	12	-12	0	0	-2	2	0	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	12	-12	0	0	-2	2	0	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0
χ₁₃	12	-12	0	0	-2	2	0	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	12	-12	0	0	-2	2	0	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0
χ₁₄	15	15	-9	3	-1	-1	0	0	-1	0	0	0	0	0	0	0	1	15	15	-9	3	-1	-1	0	0	-1	0	0	0	0	0	0	0	1
χ₁₅	16	-16	0	0	0	0	-2	2	0	0	0	0	1	1	-1	-1	0	16	-16	0	0	0	0	-2	2	0	0	0	0	1	1	-1	-1	0
χ₁₆	20	20	4	-4	0	0	-1	-1	0	1	1	-1	0	0	0	0	0	20	20	4	-4	0	0	-1	-1	0	1	1	-1	0	0	0	0	0
χ₁₇	20	-20	0	0	2	-2	2	-2	0	0	0	0	0	0	0	0	0	20	-20	0	0	2	-2	2	-2	0	0	0	0	0	0	0	0	0
χ₁₈	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
χ₁₉	3	3	3	3	-1	-1	0	0	-1	0	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	-3	-3	-3	-3	1	1	0	0	1	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	1
χ₂₀	3	3	3	3	-1	-1	0	0	-1	0	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	-3	-3	-3	-3	1	1	0	0	1	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	1
χ₂₁	4	4	4	4	0	0	1	1	0	1	1	1	-1	-1	-1	-1	0	-4	-4	-4	-4	0	0	-1	-1	0	-1	-1	-1	1	1	1	1	0
χ₂₂	4	-4	0	0	2	-2	-2	2	0	0	0	0	-1	-1	1	1	0	-4	4	0	0	-2	2	2	-2	0	0	0	0	1	1	-1	-1	0
χ₂₃	5	5	5	5	1	1	-1	-1	1	-1	-1	-1	0	0	0	0	1	-5	-5	-5	-5	-1	-1	1	1	-1	1	1	1	0	0	0	0	-1
χ₂₄	5	5	-3	1	1	1	2	2	1	0	0	-2	0	0	0	0	-1	-5	-5	3	-1	-1	-1	-2	-2	-1	0	0	2	0	0	0	0	1
χ₂₅	5	5	-3	1	1	1	-1	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	1	0	0	0	0	-1	-5	-5	3	-1	-1	-1	1	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	-1	0	0	0	0	1
χ₂₆	5	5	-3	1	1	1	-1	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	1	0	0	0	0	-1	-5	-5	3	-1	-1	-1	1	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	-1	0	0	0	0	1
χ₂₇	10	10	2	-2	2	2	1	1	-2	-1	-1	1	0	0	0	0	0	-10	-10	-2	2	-2	-2	-1	-1	2	1	1	-1	0	0	0	0	0
χ₂₈	10	10	2	-2	-2	-2	1	1	2	-1	-1	1	0	0	0	0	0	-10	-10	-2	2	2	2	-1	-1	-2	1	1	-1	0	0	0	0	0
χ₂₉	12	-12	0	0	-2	2	0	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	-12	12	0	0	2	-2	0	0	0	0	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0
χ₃₀	12	-12	0	0	-2	2	0	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	-12	12	0	0	2	-2	0	0	0	0	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0
χ₃₁	15	15	-9	3	-1	-1	0	0	-1	0	0	0	0	0	0	0	1	-15	-15	9	-3	1	1	0	0	1	0	0	0	0	0	0	0	-1
χ₃₂	16	-16	0	0	0	0	-2	2	0	0	0	0	1	1	-1	-1	0	-16	16	0	0	0	0	2	-2	0	0	0	0	-1	-1	1	1	0
χ₃₃	20	20	4	-4	0	0	-1	-1	0	1	1	-1	0	0	0	0	0	-20	-20	-4	4	0	0	1	1	0	-1	-1	1	0	0	0	0	0
χ₃₄	20	-20	0	0	2	-2	2	-2	0	0	0	0	0	0	0	0	0	-20	20	0	0	-2	2	-2	2	0	0	0	0	0	0	0	0	0

Character table — Group #72267196