Finite Group Databasebeta

← Group #1226

Character table — Group #1226

Order 120.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅
size	1	4	5	5	5	2	8	10	10	10	3	12	15	15	15
order	1	5	2	4	4	3	15	6	12	12	2	10	2	4	4
χ₁	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
χ₃	1	1	-1	$i$	$- i$	1	1	-1	$i$	$- i$	1	1	-1	$i$	$- i$
χ₄	1	1	-1	$- i$	$i$	1	1	-1	$- i$	$i$	1	1	-1	$- i$	$i$
χ₅	4	-1	0	0	0	4	-1	0	0	0	4	-1	0	0	0
χ₆	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1
χ₇	1	1	1	-1	-1	1	1	1	-1	-1	-1	-1	-1	1	1
χ₈	1	1	-1	$i$	$- i$	1	1	-1	$i$	$- i$	-1	-1	1	$- i$	$i$
χ₉	1	1	-1	$- i$	$i$	1	1	-1	$- i$	$i$	-1	-1	1	$i$	$- i$
χ₁₀	4	-1	0	0	0	4	-1	0	0	0	-4	1	0	0	0
χ₁₁	2	2	2	2	2	-1	-1	-1	-1	-1	0	0	0	0	0
χ₁₂	2	2	2	-2	-2	-1	-1	-1	1	1	0	0	0	0	0
χ₁₃	2	2	-2	$2 i$	$- 2 i$	-1	-1	1	$- i$	$i$	0	0	0	0	0
χ₁₄	2	2	-2	$- 2 i$	$2 i$	-1	-1	1	$i$	$- i$	0	0	0	0	0
χ₁₅	8	-2	0	0	0	-4	1	0	0	0	0	0	0	0	0

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