Finite Group Databasebeta

← Group #11757164

Character table — Group #11757164

Order 960.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃
size	1	15	20	32	60	64	64	64	120	120	120	120	160
order	1	2	2	3	4	5	15	15	4	4	8	8	6
χ₁	1	1	1	1	1	1	1	1	1	1	1	1	1
χ₂	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1
χ₃	1	1	-1	1	-1	1	1	1	$i$	$- i$	$i$	$- i$	-1
χ₄	1	1	-1	1	-1	1	1	1	$- i$	$i$	$- i$	$i$	-1
χ₅	2	2	2	-1	2	2	-1	-1	0	0	0	0	-1
χ₆	2	2	-2	-1	-2	2	-1	-1	0	0	0	0	1
χ₇	4	4	0	4	0	-1	-1	-1	0	0	0	0	0
χ₈	4	4	0	-2	0	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	0
χ₉	4	4	0	-2	0	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	0
χ₁₀	15	-1	3	0	-1	0	0	0	1	1	-1	-1	0
χ₁₁	15	-1	3	0	-1	0	0	0	-1	-1	1	1	0
χ₁₂	15	-1	-3	0	1	0	0	0	$i$	$- i$	$- i$	$i$	0
χ₁₃	15	-1	-3	0	1	0	0	0	$- i$	$i$	$i$	$- i$	0

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