Finite Group Databasebeta

← Group #88873

Character table — Group #88873

Order 432.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄
size	1	2	9	18	18	24	36	36	36	36	36	54	54	72
order	1	3	2	4	6	3	2	4	12	12	12	8	8	6
χ₁	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
χ₃	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
χ₅	2	2	2	-2	2	2	0	0	-2	0	0	0	0	0
χ₆	2	2	-2	0	-2	2	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₇	2	2	-2	0	-2	2	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₈	6	-3	-2	2	1	0	0	2	-1	-1	-1	0	0	0
χ₉	6	-3	-2	2	1	0	0	-2	-1	1	1	0	0	0
χ₁₀	6	-3	-2	-2	1	0	0	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0
χ₁₁	6	-3	-2	-2	1	0	0	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0
χ₁₂	8	8	0	0	0	-1	2	0	0	0	0	0	0	-1
χ₁₃	8	8	0	0	0	-1	-2	0	0	0	0	0	0	1
χ₁₄	12	-6	4	0	-2	0	0	0	0	0	0	0	0	0

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