Finite Group Databasebeta

← Group #85554

Character table — Group #85554

Order 384.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇
size	1	1	2	12	12	12	12	12	24	24	32	32	32	32	48	48	48
order	1	2	2	4	4	4	4	4	2	4	3	6	6	6	8	8	8
χ₁	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
χ₃	2	2	2	2	2	2	2	2	0	0	-1	-1	-1	-1	0	0	0
χ₄	3	3	3	-1	-1	3	-1	-1	1	1	0	0	0	0	1	-1	-1
χ₅	3	3	3	-1	-1	3	-1	-1	-1	-1	0	0	0	0	-1	1	1
χ₆	3	3	3	-1	-1	-1	3	-1	1	1	0	0	0	0	-1	1	-1
χ₇	3	3	3	-1	-1	-1	3	-1	-1	-1	0	0	0	0	1	-1	1
χ₈	3	3	3	-1	-1	-1	-1	3	1	1	0	0	0	0	-1	-1	1
χ₉	3	3	3	-1	-1	-1	-1	3	-1	-1	0	0	0	0	1	1	-1
χ₁₀	4	4	-4	0	0	0	0	0	2	-2	1	1	-1	-1	0	0	0
χ₁₁	4	4	-4	0	0	0	0	0	-2	2	1	1	-1	-1	0	0	0
χ₁₂	4	-4	0	2	-2	0	0	0	0	0	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0
χ₁₃	4	-4	0	2	-2	0	0	0	0	0	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0
χ₁₄	4	-4	0	2	-2	0	0	0	0	0	-2	2	0	0	0	0	0
χ₁₅	6	6	6	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0
χ₁₆	8	8	-8	0	0	0	0	0	0	0	-1	-1	1	1	0	0	0
χ₁₇	12	-12	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0

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