Finite Group Databasebeta

← Group #11923463

Character table — Group #11923463

Order 1152.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁	C₂₂	C₂₃	C₂₄	C₂₅
size	1	1	12	12	12	12	12	16	16	18	32	32	32	32	36	36	72	72	72	96	96	96	96	96	144
order	1	2	4	4	4	4	4	3	6	2	3	3	6	6	4	4	2	4	4	12	12	12	12	12	8
χ₁	1	1	1	1	1	1	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	1	1	1	-1	-1	-1
χ₃	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	-1	-1	1	1	-1
χ₄	1	1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	-1	-1	-1	-1	1
χ₅	2	2	0	0	2	2	2	-1	-1	2	2	-1	2	-1	0	0	0	0	2	-1	0	0	-1	-1	0
χ₆	2	2	0	0	-2	-2	2	-1	-1	2	2	-1	2	-1	0	0	0	0	-2	-1	0	0	1	1	0
χ₇	2	2	2	2	0	0	2	-1	-1	2	-1	2	-1	2	0	0	0	2	0	-1	-1	-1	0	0	0
χ₈	2	2	-2	-2	0	0	2	-1	-1	2	-1	2	-1	2	0	0	0	-2	0	-1	1	1	0	0	0
χ₉	4	4	0	0	0	0	4	1	1	4	-2	-2	-2	-2	0	0	0	0	0	1	0	0	0	0	0
χ₁₀	4	-4	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	-2	2	0	1	1	-1	-1	2	-2	0	0	0	0	$i$	$- i$	$i$	$- i$	0
χ₁₁	4	-4	$2 i$	$- 2 i$	$- 2 i$	$2 i$	0	-2	2	0	1	1	-1	-1	-2	2	0	0	0	0	$i$	$- i$	$- i$	$i$	0
χ₁₂	4	-4	$- 2 i$	$2 i$	$2 i$	$- 2 i$	0	-2	2	0	1	1	-1	-1	-2	2	0	0	0	0	$- i$	$i$	$i$	$- i$	0
χ₁₃	4	-4	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	-2	2	0	1	1	-1	-1	2	-2	0	0	0	0	$- i$	$i$	$- i$	$i$	0
χ₁₄	6	6	0	0	0	0	2	3	3	-2	0	0	0	0	2	2	-2	0	0	-1	0	0	0	0	0
χ₁₅	6	6	0	0	0	0	2	3	3	-2	0	0	0	0	-2	-2	2	0	0	-1	0	0	0	0	0
χ₁₆	8	-8	0	0	$4 i$	$- 4 i$	0	2	-2	0	2	-1	-2	1	0	0	0	0	0	0	0	0	$- i$	$i$	0
χ₁₇	8	-8	0	0	$- 4 i$	$4 i$	0	2	-2	0	2	-1	-2	1	0	0	0	0	0	0	0	0	$i$	$- i$	0
χ₁₈	8	-8	$4 i$	$- 4 i$	0	0	0	2	-2	0	-1	2	1	-2	0	0	0	0	0	0	$- i$	$i$	0	0	0
χ₁₉	8	-8	$- 4 i$	$4 i$	0	0	0	2	-2	0	-1	2	1	-2	0	0	0	0	0	0	$i$	$- i$	0	0	0
χ₂₀	9	9	3	3	3	3	-3	0	0	1	0	0	0	0	1	1	1	-1	-1	0	0	0	0	0	-1
χ₂₁	9	9	3	3	-3	-3	-3	0	0	1	0	0	0	0	-1	-1	-1	-1	1	0	0	0	0	0	1
χ₂₂	9	9	-3	-3	3	3	-3	0	0	1	0	0	0	0	-1	-1	-1	1	-1	0	0	0	0	0	1
χ₂₃	9	9	-3	-3	-3	-3	-3	0	0	1	0	0	0	0	1	1	1	1	1	0	0	0	0	0	-1
χ₂₄	12	12	0	0	0	0	4	-3	-3	-4	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0
χ₂₅	16	-16	0	0	0	0	0	-2	2	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0

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