Finite Group Databasebeta

← Group #13050430

Character table — Group #13050430

Order 1320.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆
size	1	55	60	60	110	110	132	132	1	55	60	60	110	110	132	132
order	1	2	11	11	3	6	5	5	2	2	22	22	6	6	10	10
χ₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
χ₂	5	1	$\frac{- 1 + i \sqrt{11}}{2}$	$\frac{- 1 - i \sqrt{11}}{2}$	-1	1	0	0	5	1	$\frac{- 1 + i \sqrt{11}}{2}$	$\frac{- 1 - i \sqrt{11}}{2}$	-1	1	0	0
χ₃	5	1	$\frac{- 1 - i \sqrt{11}}{2}$	$\frac{- 1 + i \sqrt{11}}{2}$	-1	1	0	0	5	1	$\frac{- 1 - i \sqrt{11}}{2}$	$\frac{- 1 + i \sqrt{11}}{2}$	-1	1	0	0
χ₄	10	2	-1	-1	1	-1	0	0	10	2	-1	-1	1	-1	0	0
χ₅	10	-2	-1	-1	1	1	0	0	10	-2	-1	-1	1	1	0	0
χ₆	11	-1	0	0	-1	-1	1	1	11	-1	0	0	-1	-1	1	1
χ₇	12	0	1	1	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	12	0	1	1	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$
χ₈	12	0	1	1	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	12	0	1	1	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$
χ₉	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₀	5	1	$\frac{- 1 + i \sqrt{11}}{2}$	$\frac{- 1 - i \sqrt{11}}{2}$	-1	1	0	0	-5	-1	$\frac{1 - i \sqrt{11}}{2}$	$\frac{1 + i \sqrt{11}}{2}$	1	-1	0	0
χ₁₁	5	1	$\frac{- 1 - i \sqrt{11}}{2}$	$\frac{- 1 + i \sqrt{11}}{2}$	-1	1	0	0	-5	-1	$\frac{1 + i \sqrt{11}}{2}$	$\frac{1 - i \sqrt{11}}{2}$	1	-1	0	0
χ₁₂	10	2	-1	-1	1	-1	0	0	-10	-2	1	1	-1	1	0	0
χ₁₃	10	-2	-1	-1	1	1	0	0	-10	2	1	1	-1	-1	0	0
χ₁₄	11	-1	0	0	-1	-1	1	1	-11	1	0	0	1	1	-1	-1
χ₁₅	12	0	1	1	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-12	0	-1	-1	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$
χ₁₆	12	0	1	1	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-12	0	-1	-1	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$

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