Finite Group Databasebeta

← Group #11923128

Character table — Group #11923128

Order 1152.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁
size	1	2	3	6	12	12	12	24	24	24	24	24	24	72	72	128	128	128	144	144	144
order	1	3	2	6	2	2	4	4	6	6	12	12	12	2	4	3	3	3	4	4	8
χ₁	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
χ₃	2	2	2	2	2	2	2	2	2	2	2	2	2	0	0	-1	-1	-1	0	0	0
χ₄	2	-1	2	-1	2	2	2	2	-1	-1	-1	-1	-1	0	0	2	-1	-1	0	0	0
χ₅	2	-1	2	-1	2	2	2	2	-1	-1	-1	-1	-1	0	0	-1	2	-1	0	0	0
χ₆	2	-1	2	-1	2	2	2	2	-1	-1	-1	-1	-1	0	0	-1	-1	2	0	0	0
χ₇	3	3	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	1	1	0	0	0	1	-1	-1
χ₈	3	3	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	0	0	0	-1	1	1
χ₉	3	3	3	3	-1	3	-1	-1	-1	3	-1	-1	-1	1	1	0	0	0	-1	1	-1
χ₁₀	3	3	3	3	-1	3	-1	-1	-1	3	-1	-1	-1	-1	-1	0	0	0	1	-1	1
χ₁₁	3	3	3	3	-1	-1	3	-1	-1	-1	3	-1	-1	1	1	0	0	0	-1	-1	1
χ₁₂	3	3	3	3	-1	-1	3	-1	-1	-1	3	-1	-1	-1	-1	0	0	0	1	1	-1
χ₁₃	6	6	6	6	-2	-2	-2	2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0
χ₁₄	6	-3	6	-3	6	-2	-2	-2	-3	1	1	1	1	0	0	0	0	0	0	0	0
χ₁₅	6	-3	6	-3	-2	6	-2	-2	1	-3	1	1	1	0	0	0	0	0	0	0	0
χ₁₆	6	-3	6	-3	-2	-2	6	-2	1	1	-3	1	1	0	0	0	0	0	0	0	0
χ₁₇	6	-3	6	-3	-2	-2	-2	2	1	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₈	6	-3	6	-3	-2	-2	-2	2	1	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₉	12	12	-4	-4	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0
χ₂₀	12	12	-4	-4	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0
χ₂₁	24	-12	-8	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

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