Finite Group Databasebeta

← Group #87913

Character table — Group #87913

Order 400.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆
size	1	8	8	8	10	10	10	25	25	25	40	40	40	50	50	50
order	1	5	5	5	2	2	2	2	4	4	10	10	10	4	4	4
χ₁	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
χ₃	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
χ₅	1	1	1	1	-1	1	1	1	-1	-1	-1	1	1	-1	-1	1
χ₆	1	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	-1
χ₈	1	1	1	1	-1	-1	-1	1	-1	-1	-1	-1	-1	1	1	1
χ₉	2	2	2	2	0	0	0	-2	$2 i$	$- 2 i$	0	0	0	0	0	0
χ₁₀	2	2	2	2	0	0	0	-2	$- 2 i$	$2 i$	0	0	0	0	0	0
χ₁₁	8	3	-2	-2	0	0	4	0	0	0	0	0	-1	0	0	0
χ₁₂	8	3	-2	-2	0	0	-4	0	0	0	0	0	1	0	0	0
χ₁₃	8	-2	3	-2	0	4	0	0	0	0	0	-1	0	0	0	0
χ₁₄	8	-2	3	-2	0	-4	0	0	0	0	0	1	0	0	0	0
χ₁₅	8	-2	-2	3	4	0	0	0	0	0	-1	0	0	0	0	0
χ₁₆	8	-2	-2	3	-4	0	0	0	0	0	1	0	0	0	0	0

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