Finite Group Databasebeta

← Group #72209754

Character table — Group #72209754

Order 20160.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄
size	1	105	112	210	1120	1260	1344	1344	1344	1680	2520	2880	2880	3360
order	1	2	3	2	3	4	5	15	15	6	4	7	7	6
χ₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1
χ₂	7	-1	4	3	1	-1	2	-1	-1	0	1	0	0	-1
χ₃	14	6	-1	2	2	2	-1	-1	-1	-1	0	0	0	0
χ₄	20	4	5	4	-1	0	0	0	0	1	0	-1	-1	1
χ₅	21	-3	6	1	0	1	1	1	1	-2	-1	0	0	0
χ₆	21	-3	-3	1	0	1	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	1	-1	0	0	0
χ₇	21	-3	-3	1	0	1	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	1	-1	0	0	0
χ₈	28	-4	1	4	1	0	-2	1	1	1	0	0	0	-1
χ₉	35	3	5	-5	2	-1	0	0	0	1	-1	0	0	0
χ₁₀	45	-3	0	-3	0	1	0	0	0	0	1	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	0
χ₁₁	45	-3	0	-3	0	1	0	0	0	0	1	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	0
χ₁₂	56	8	-4	0	-1	0	1	1	1	0	0	0	0	-1
χ₁₃	64	0	4	0	-2	0	-1	-1	-1	0	0	1	1	0
χ₁₄	70	-2	-5	2	1	-2	0	0	0	-1	0	0	0	1

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