Finite Group Databasebeta

← Group #13088274

Character table — Group #13088274

Order 1440.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇
size	1	1	30	30	40	40	40	40	90	120	120	120	120	144	144	180	180
order	1	2	2	4	3	3	6	6	4	6	6	12	12	5	10	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	4	-4	0	0	1	-2	2	-1	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	-1	1	0	0
χ₄	4	-4	0	0	1	-2	2	-1	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	-1	1	0	0
χ₅	4	-4	0	0	-2	1	-1	2	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	-1	1	0	0
χ₆	4	-4	0	0	-2	1	-1	2	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	-1	1	0	0
χ₇	5	5	1	-3	2	-1	-1	2	1	1	1	0	0	0	0	-1	-1
χ₈	5	5	3	-1	-1	2	2	-1	1	0	0	-1	-1	0	0	-1	1
χ₉	5	5	-3	1	-1	2	2	-1	1	0	0	1	1	0	0	-1	-1
χ₁₀	5	5	-1	3	2	-1	-1	2	1	-1	-1	0	0	0	0	-1	1
χ₁₁	9	9	3	3	0	0	0	0	1	0	0	0	0	-1	-1	1	-1
χ₁₂	9	9	-3	-3	0	0	0	0	1	0	0	0	0	-1	-1	1	1
χ₁₃	10	10	2	-2	1	1	1	1	-2	-1	-1	1	1	0	0	0	0
χ₁₄	10	10	-2	2	1	1	1	1	-2	1	1	-1	-1	0	0	0	0
χ₁₅	16	16	0	0	-2	-2	-2	-2	0	0	0	0	0	1	1	0	0
χ₁₆	16	-16	0	0	-2	-2	2	2	0	0	0	0	0	1	-1	0	0
χ₁₇	20	-20	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0

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