Finite Group Databasebeta

← Group #10596770

Character table — Group #10596770

Order 576.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃
size	1	6	9	16	36	36	48	64	72	72	72	72	72
order	1	2	2	3	2	4	6	3	4	4	4	8	8
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	-1	$i$	$- i$	$i$	$- i$
χ₄	1	1	1	1	-1	-1	1	1	-1	$- i$	$i$	$- i$	$i$
χ₅	4	4	4	1	0	0	1	-2	0	0	0	0	0
χ₆	4	4	4	-2	0	0	-2	1	0	0	0	0	0
χ₇	6	2	-2	3	2	-2	-1	0	0	0	0	0	0
χ₈	6	2	-2	3	-2	2	-1	0	0	0	0	0	0
χ₉	9	-3	1	0	1	1	0	0	-1	1	1	-1	-1
χ₁₀	9	-3	1	0	1	1	0	0	-1	-1	-1	1	1
χ₁₁	9	-3	1	0	-1	-1	0	0	1	$i$	$- i$	$- i$	$i$
χ₁₂	9	-3	1	0	-1	-1	0	0	1	$- i$	$i$	$i$	$- i$
χ₁₃	12	4	-4	-3	0	0	1	0	0	0	0	0	0

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