Finite Group Databasebeta

← Group #64388

Character table — Group #64388

Order 288.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈
size	1	2	3	3	3	6	6	6	6	6	6	32	32	32	36	36	36	36
order	1	3	2	2	2	2	6	6	6	6	6	3	3	3	2	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	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	0	0	0	0
χ₄	2	-1	2	2	2	2	-1	-1	-1	-1	-1	2	-1	-1	0	0	0	0
χ₅	2	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	2	-1	0	0	0	0
χ₆	2	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	2	0	0	0	0
χ₇	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	0	0	0	1	1	-1	-1
χ₈	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	0	0	0	-1	-1	1	1
χ₉	3	3	-1	3	-1	-1	-1	3	-1	-1	-1	0	0	0	1	-1	1	-1
χ₁₀	3	3	-1	3	-1	-1	-1	3	-1	-1	-1	0	0	0	-1	1	-1	1
χ₁₁	3	3	-1	-1	3	-1	-1	-1	3	-1	-1	0	0	0	1	-1	-1	1
χ₁₂	3	3	-1	-1	3	-1	-1	-1	3	-1	-1	0	0	0	-1	1	1	-1
χ₁₃	6	6	-2	-2	-2	2	-2	-2	-2	2	2	0	0	0	0	0	0	0
χ₁₄	6	-3	6	-2	-2	-2	-3	1	1	1	1	0	0	0	0	0	0	0
χ₁₅	6	-3	-2	6	-2	-2	1	-3	1	1	1	0	0	0	0	0	0	0
χ₁₆	6	-3	-2	-2	6	-2	1	1	-3	1	1	0	0	0	0	0	0	0
χ₁₇	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
χ₁₈	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

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