Finite Group Databasebeta

← Group #11923441

Character table — Group #11923441

Order 1152.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉
size	1	1	12	16	16	18	36	36	64	64	72	72	72	72	72	96	144	144	144
order	1	2	4	3	6	2	4	4	3	6	2	8	8	8	8	12	4	4	8
χ₁	1	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	1
χ₃	1	1	1	1	1	1	-1	-1	1	1	-1	$i$	$i$	$- i$	$- i$	1	$i$	$- i$	-1
χ₄	1	1	1	1	1	1	-1	-1	1	1	-1	$- i$	$- i$	$i$	$i$	1	$- i$	$i$	-1
χ₅	4	4	4	1	1	4	0	0	-2	-2	0	0	0	0	0	1	0	0	0
χ₆	4	4	4	-2	-2	4	0	0	1	1	0	0	0	0	0	-2	0	0	0
χ₇	4	-4	0	-2	2	0	2	-2	1	-1	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0
χ₈	4	-4	0	-2	2	0	2	-2	1	-1	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0
χ₉	4	-4	0	-2	2	0	-2	2	1	-1	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0
χ₁₀	4	-4	0	-2	2	0	-2	2	1	-1	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0
χ₁₁	6	6	2	3	3	-2	2	2	0	0	-2	0	0	0	0	-1	0	0	0
χ₁₂	6	6	2	3	3	-2	-2	-2	0	0	2	0	0	0	0	-1	0	0	0
χ₁₃	9	9	-3	0	0	1	1	1	0	0	1	1	1	1	1	0	-1	-1	-1
χ₁₄	9	9	-3	0	0	1	1	1	0	0	1	-1	-1	-1	-1	0	1	1	-1
χ₁₅	9	9	-3	0	0	1	-1	-1	0	0	-1	$i$	$i$	$- i$	$- i$	0	$- i$	$i$	1
χ₁₆	9	9	-3	0	0	1	-1	-1	0	0	-1	$- i$	$- i$	$i$	$i$	0	$i$	$- i$	1
χ₁₇	12	12	4	-3	-3	-4	0	0	0	0	0	0	0	0	0	1	0	0	0
χ₁₈	16	-16	0	4	-4	0	0	0	1	-1	0	0	0	0	0	0	0	0	0
χ₁₉	16	-16	0	-2	2	0	0	0	-2	2	0	0	0	0	0	0	0	0	0

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