Finite Group Databasebeta

← Group #13050309

Character table — Group #13050309

Order 1320.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅
size	1	1	60	60	60	60	110	110	110	110	110	132	132	132	132
order	1	2	11	11	22	22	3	4	6	12	12	5	5	10	10
χ₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
χ₂	5	5	$\frac{- 1 - i \sqrt{11}}{2}$	$\frac{- 1 + i \sqrt{11}}{2}$	$\frac{- 1 - i \sqrt{11}}{2}$	$\frac{- 1 + i \sqrt{11}}{2}$	-1	1	-1	1	1	0	0	0	0
χ₃	5	5	$\frac{- 1 + i \sqrt{11}}{2}$	$\frac{- 1 - i \sqrt{11}}{2}$	$\frac{- 1 + i \sqrt{11}}{2}$	$\frac{- 1 - i \sqrt{11}}{2}$	-1	1	-1	1	1	0	0	0	0
χ₄	6	-6	$\frac{1 - i \sqrt{11}}{2}$	$\frac{1 + i \sqrt{11}}{2}$	$\frac{- 1 + i \sqrt{11}}{2}$	$\frac{- 1 - i \sqrt{11}}{2}$	0	0	0	0	0	1	1	-1	-1
χ₅	6	-6	$\frac{1 + i \sqrt{11}}{2}$	$\frac{1 - i \sqrt{11}}{2}$	$\frac{- 1 - i \sqrt{11}}{2}$	$\frac{- 1 + i \sqrt{11}}{2}$	0	0	0	0	0	1	1	-1	-1
χ₆	10	10	-1	-1	-1	-1	1	2	1	-1	-1	0	0	0	0
χ₇	10	10	-1	-1	-1	-1	1	-2	1	1	1	0	0	0	0
χ₈	10	-10	-1	-1	1	1	1	0	-1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₉	10	-10	-1	-1	1	1	1	0	-1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₁₀	10	-10	-1	-1	1	1	-2	0	2	0	0	0	0	0	0
χ₁₁	11	11	0	0	0	0	-1	-1	-1	-1	-1	1	1	1	1
χ₁₂	12	12	1	1	1	1	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$
χ₁₃	12	12	1	1	1	1	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	12	-12	1	1	-1	-1	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	12	-12	1	1	-1	-1	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$

Here i is the imaginary unit (i² = −1).