Finite Group Databasebeta

← Group #3783

Character table — Group #3783

Order 144.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈
size	1	1	2	2	3	3	6	6	8	8	8	8	8	8	18	18	18	18
order	1	2	3	6	2	2	6	6	3	3	3	6	6	6	4	4	4	4
χ₁	1	1	1	1	1	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	1	-1	-1	-1	-1
χ₃	1	-1	1	-1	1	-1	1	-1	1	1	1	-1	-1	-1	$i$	$- i$	$i$	$- i$
χ₄	1	-1	1	-1	1	-1	1	-1	1	1	1	-1	-1	-1	$- i$	$i$	$- i$	$i$
χ₅	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	0	0	0	0
χ₆	2	2	-1	-1	2	2	-1	-1	2	-1	-1	2	-1	-1	0	0	0	0
χ₇	2	2	-1	-1	2	2	-1	-1	-1	2	-1	-1	2	-1	0	0	0	0
χ₈	2	2	-1	-1	2	2	-1	-1	-1	-1	2	-1	-1	2	0	0	0	0
χ₉	2	-2	2	-2	2	-2	2	-2	-1	-1	-1	1	1	1	0	0	0	0
χ₁₀	2	-2	-1	1	2	-2	-1	1	2	-1	-1	-2	1	1	0	0	0	0
χ₁₁	2	-2	-1	1	2	-2	-1	1	-1	2	-1	1	-2	1	0	0	0	0
χ₁₂	2	-2	-1	1	2	-2	-1	1	-1	-1	2	1	1	-2	0	0	0	0
χ₁₃	3	3	3	3	-1	-1	-1	-1	0	0	0	0	0	0	1	1	-1	-1
χ₁₄	3	3	3	3	-1	-1	-1	-1	0	0	0	0	0	0	-1	-1	1	1
χ₁₅	3	-3	3	-3	-1	1	-1	1	0	0	0	0	0	0	$i$	$- i$	$- i$	$i$
χ₁₆	3	-3	3	-3	-1	1	-1	1	0	0	0	0	0	0	$- i$	$i$	$i$	$- i$
χ₁₇	6	6	-3	-3	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0
χ₁₈	6	-6	-3	3	-2	2	1	-1	0	0	0	0	0	0	0	0	0	0

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