Finite Group Databasebeta

← Group #10593244

Character table — Group #10593244

Order 576.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁	C₂₂	C₂₃	C₂₄
size	1	2	3	6	6	6	6	6	12	12	12	12	24	24	24	24	24	32	36	36	36	64	72	96
order	1	3	2	2	2	6	6	6	2	2	4	6	4	6	12	12	12	3	2	4	4	3	4	6
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
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
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
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
χ₅	2	2	2	2	2	2	2	2	0	2	0	2	0	0	0	0	0	-1	0	2	0	-1	0	-1
χ₆	2	2	2	2	2	2	2	2	0	-2	0	2	0	0	0	0	0	-1	0	-2	0	-1	0	1
χ₇	2	-1	2	2	2	-1	-1	-1	2	0	2	-1	2	-1	-1	-1	-1	2	0	0	0	-1	0	0
χ₈	2	-1	2	2	2	-1	-1	-1	-2	0	-2	-1	-2	1	1	1	1	2	0	0	0	-1	0	0
χ₉	3	3	3	-1	-1	3	-1	-1	1	3	1	-1	-1	1	1	-1	-1	0	1	-1	1	0	-1	0
χ₁₀	3	3	3	-1	-1	3	-1	-1	1	-3	1	-1	-1	1	1	-1	-1	0	-1	1	-1	0	1	0
χ₁₁	3	3	3	-1	-1	3	-1	-1	-1	3	-1	-1	1	-1	-1	1	1	0	-1	-1	-1	0	1	0
χ₁₂	3	3	3	-1	-1	3	-1	-1	-1	-3	-1	-1	1	-1	-1	1	1	0	1	1	1	0	-1	0
χ₁₃	4	-2	4	4	4	-2	-2	-2	0	0	0	-2	0	0	0	0	0	-2	0	0	0	1	0	0
χ₁₄	6	6	-2	2	-2	-2	2	2	2	0	-2	-2	0	2	-2	0	0	0	0	0	0	0	0	0
χ₁₅	6	6	-2	2	-2	-2	2	2	-2	0	2	-2	0	-2	2	0	0	0	0	0	0	0	0	0
χ₁₆	6	6	-2	-2	2	-2	-2	-2	0	0	0	2	0	0	0	0	0	0	2	0	-2	0	0	0
χ₁₇	6	6	-2	-2	2	-2	-2	-2	0	0	0	2	0	0	0	0	0	0	-2	0	2	0	0	0
χ₁₈	6	-3	6	-2	-2	-3	1	1	2	0	2	1	-2	-1	-1	1	1	0	0	0	0	0	0	0
χ₁₉	6	-3	6	-2	-2	-3	1	1	-2	0	-2	1	2	1	1	-1	-1	0	0	0	0	0	0	0
χ₂₀	6	-3	-2	2	-2	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	2	0	-2	1	0	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0
χ₂₁	6	-3	-2	2	-2	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	-2	0	2	1	0	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0
χ₂₂	6	-3	-2	2	-2	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	2	0	-2	1	0	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0
χ₂₃	6	-3	-2	2	-2	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	-2	0	2	1	0	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0
χ₂₄	12	-6	-4	-4	4	2	2	2	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0

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