Finite Group Databasebeta

Character table — Group #982

Order 96.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆
size	1	1	6	6	6	8	8	12	1	1	6	6	6	8	8	12
order	1	2	4	8	8	3	6	2	2	2	4	8	8	6	6	2
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	2	2	2	0	0	-1	-1	0	2	2	2	0	0	-1	-1	0
χ₄	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	-1	1	0	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	-1	1	0
χ₅	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	-1	1	0	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	-1	1	0
χ₆	3	3	-1	1	1	0	0	-1	3	3	-1	1	1	0	0	-1
χ₇	3	3	-1	-1	-1	0	0	1	3	3	-1	-1	-1	0	0	1
χ₈	4	-4	0	0	0	1	-1	0	4	-4	0	0	0	1	-1	0
χ₉	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₀	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	-1	-1	1
χ₁₁	2	2	2	0	0	-1	-1	0	-2	-2	-2	0	0	1	1	0
χ₁₂	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	-1	1	0	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	1	-1	0
χ₁₃	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	-1	1	0	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	1	-1	0
χ₁₄	3	3	-1	1	1	0	0	-1	-3	-3	1	-1	-1	0	0	1
χ₁₅	3	3	-1	-1	-1	0	0	1	-3	-3	1	1	1	0	0	-1
χ₁₆	4	-4	0	0	0	1	-1	0	-4	4	0	0	0	-1	1	0

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