Finite Group Databasebeta

← Group #64196

Character table — Group #64196

Order 288.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁
size	1	1	2	2	6	6	8	8	12	12	12	12	12	16	16	18	24	24	24	36	36
order	1	2	3	6	4	4	3	6	4	8	12	24	24	3	6	2	12	12	12	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	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
χ₅	2	2	2	2	2	2	-1	-1	0	0	2	0	0	-1	-1	2	0	-1	-1	0	0
χ₆	2	2	2	2	-2	2	-1	-1	0	0	2	0	0	-1	-1	-2	0	1	1	0	0
χ₇	2	2	-1	-1	0	2	2	2	2	2	-1	-1	-1	-1	-1	0	-1	0	0	0	0
χ₈	2	2	-1	-1	0	2	2	2	-2	-2	-1	1	1	-1	-1	0	1	0	0	0	0
χ₉	3	3	3	3	3	-1	0	0	1	-1	-1	-1	-1	0	0	-1	1	0	0	1	-1
χ₁₀	3	3	3	3	3	-1	0	0	-1	1	-1	1	1	0	0	-1	-1	0	0	-1	1
χ₁₁	3	3	3	3	-3	-1	0	0	1	-1	-1	-1	-1	0	0	1	1	0	0	-1	1
χ₁₂	3	3	3	3	-3	-1	0	0	-1	1	-1	1	1	0	0	1	-1	0	0	1	-1
χ₁₃	4	4	-2	-2	0	4	-2	-2	0	0	-2	0	0	1	1	0	0	0	0	0	0
χ₁₄	4	-4	4	-4	0	0	1	-1	0	0	0	0	0	1	-1	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	0
χ₁₅	4	-4	4	-4	0	0	1	-1	0	0	0	0	0	1	-1	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	0
χ₁₆	4	-4	4	-4	0	0	-2	2	0	0	0	0	0	-2	2	0	0	0	0	0	0
χ₁₇	4	-4	-2	2	0	0	-2	2	0	0	0	$i \sqrt{6}$	$- i \sqrt{6}$	1	-1	0	0	0	0	0	0
χ₁₈	4	-4	-2	2	0	0	-2	2	0	0	0	$- i \sqrt{6}$	$i \sqrt{6}$	1	-1	0	0	0	0	0	0
χ₁₉	6	6	-3	-3	0	-2	0	0	2	-2	1	1	1	0	0	0	-1	0	0	0	0
χ₂₀	6	6	-3	-3	0	-2	0	0	-2	2	1	-1	-1	0	0	0	1	0	0	0	0
χ₂₁	8	-8	-4	4	0	0	2	-2	0	0	0	0	0	-1	1	0	0	0	0	0	0

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