Finite Group Databasebeta

← Group #67191

Character table — Group #67191

Order 360.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅
size	1	12	12	15	20	2	24	24	30	40	3	36	36	45	60
order	1	5	5	2	3	3	15	15	6	3	2	10	10	2	6
χ₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
χ₂	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0
χ₃	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0
χ₄	4	-1	-1	0	1	4	-1	-1	0	1	4	-1	-1	0	1
χ₅	5	0	0	1	-1	5	0	0	1	-1	5	0	0	1	-1
χ₆	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1
χ₇	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	-3	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	1	0
χ₈	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	-3	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	1	0
χ₉	4	-1	-1	0	1	4	-1	-1	0	1	-4	1	1	0	-1
χ₁₀	5	0	0	1	-1	5	0	0	1	-1	-5	0	0	-1	1
χ₁₁	2	2	2	2	2	-1	-1	-1	-1	-1	0	0	0	0	0
χ₁₂	6	$1 - \sqrt{5}$	$1 + \sqrt{5}$	-2	0	-3	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	1	0	0	0	0	0	0
χ₁₃	6	$1 + \sqrt{5}$	$1 - \sqrt{5}$	-2	0	-3	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	1	0	0	0	0	0	0
χ₁₄	8	-2	-2	0	2	-4	1	1	0	-1	0	0	0	0	0
χ₁₅	10	0	0	2	-2	-5	0	0	-1	1	0	0	0	0	0