Finite Group Databasebeta

← Group #1413

Character table — Group #1413

Order 128.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄
size	1	1	2	4	8	8	8	8	8	16	16	16	16	16
order	1	2	2	4	4	4	4	8	8	4	8	8	8	8
χ₁	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
χ₃	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
χ₅	1	1	1	1	1	-1	-1	1	1	-1	$i$	$- i$	$i$	$- i$
χ₆	1	1	1	1	1	-1	-1	1	1	-1	$- i$	$i$	$- i$	$i$
χ₇	1	1	1	1	1	-1	-1	-1	-1	1	$i$	$- i$	$- i$	$i$
χ₈	1	1	1	1	1	-1	-1	-1	-1	1	$- i$	$i$	$i$	$- i$
χ₉	2	2	2	2	-2	2	-2	0	0	0	0	0	0	0
χ₁₀	2	2	2	2	-2	-2	2	0	0	0	0	0	0	0
χ₁₁	4	4	4	-4	0	0	0	0	0	0	0	0	0	0
χ₁₂	4	4	-4	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0
χ₁₃	4	4	-4	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0
χ₁₄	8	-8	0	0	0	0	0	0	0	0	0	0	0	0

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