Finite Group Databasebeta

← Group #13049173

Character table — Group #13049173

Order 1296.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈
size	1	2	9	18	24	24	24	24	54	72	72	72	108	108	144	162	162	216
order	1	3	2	6	3	3	3	3	4	6	6	6	2	12	9	8	8	6
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	-1	-1	-1	2	2	-1	-1	-1	0	2	-1	0	0	0
χ₄	2	2	-2	-2	-1	-1	-1	2	0	1	1	1	0	0	-1	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₅	2	2	-2	-2	-1	-1	-1	2	0	1	1	1	0	0	-1	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₆	3	3	3	3	0	0	0	3	-1	0	0	0	1	-1	0	-1	-1	1
χ₇	3	3	3	3	0	0	0	3	-1	0	0	0	-1	-1	0	1	1	-1
χ₈	4	4	-4	-4	1	1	1	4	0	-1	-1	-1	0	0	1	0	0	0
χ₉	6	-3	-2	1	0	3	-3	0	2	1	1	-2	0	-1	0	0	0	0
χ₁₀	6	-3	-2	1	3	-3	0	0	2	1	-2	1	0	-1	0	0	0	0
χ₁₁	6	-3	-2	1	-3	0	3	0	2	-2	1	1	0	-1	0	0	0	0
χ₁₂	8	8	0	0	2	2	2	-1	0	0	0	0	2	0	-1	0	0	-1
χ₁₃	8	8	0	0	2	2	2	-1	0	0	0	0	-2	0	-1	0	0	1
χ₁₄	12	-6	4	-2	0	-3	3	0	0	1	1	-2	0	0	0	0	0	0
χ₁₅	12	-6	4	-2	3	0	-3	0	0	-2	1	1	0	0	0	0	0	0
χ₁₆	12	-6	4	-2	-3	3	0	0	0	1	-2	1	0	0	0	0	0	0
χ₁₇	16	16	0	0	-2	-2	-2	-2	0	0	0	0	0	0	1	0	0	0
χ₁₈	18	-9	-6	3	0	0	0	0	-2	0	0	0	0	1	0	0	0	0

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