Finite Group Databasebeta

Character table — Group #941

Order 96.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁	C₂₂	C₂₃	C₂₄
size	1	1	2	2	2	4	4	4	4	6	6	12	1	1	2	2	2	4	4	4	4	6	6	12
order	1	2	3	4	6	4	12	12	12	8	8	2	2	2	6	4	6	4	12	12	12	8	8	2
χ₁	1	1	1	1	1	1	1	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	1	1	1	1	-1	-1	-1
χ₃	1	1	1	1	1	-1	1	-1	-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	1	-1	1	-1	-1	-1	-1	1
χ₅	2	2	2	-2	2	0	-2	0	0	0	0	0	2	2	2	-2	2	0	-2	0	0	0	0	0
χ₆	2	2	-1	2	-1	2	-1	-1	-1	0	0	0	2	2	-1	2	-1	2	-1	-1	-1	0	0	0
χ₇	2	2	-1	2	-1	-2	-1	1	1	0	0	0	2	2	-1	2	-1	-2	-1	1	1	0	0	0
χ₈	2	2	-1	-2	-1	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	2	2	-1	-2	-1	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0
χ₉	2	2	-1	-2	-1	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	2	2	-1	-2	-1	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0
χ₁₀	2	-2	2	0	-2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	-2	2	0	-2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₁₁	2	-2	2	0	-2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	-2	2	0	-2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₁₂	4	-4	-2	0	2	0	0	0	0	0	0	0	4	-4	-2	0	2	0	0	0	0	0	0	0
χ₁₃	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₄	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1
χ₁₅	1	1	1	1	1	-1	1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	-1	1	1	-1	-1	1
χ₁₆	1	1	1	1	1	-1	1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	1	-1	1	1	1	1	-1
χ₁₇	2	2	2	-2	2	0	-2	0	0	0	0	0	-2	-2	-2	2	-2	0	2	0	0	0	0	0
χ₁₈	2	2	-1	2	-1	2	-1	-1	-1	0	0	0	-2	-2	1	-2	1	-2	1	1	1	0	0	0
χ₁₉	2	2	-1	2	-1	-2	-1	1	1	0	0	0	-2	-2	1	-2	1	2	1	-1	-1	0	0	0
χ₂₀	2	2	-1	-2	-1	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	-2	-2	1	2	1	0	-1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0
χ₂₁	2	2	-1	-2	-1	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	-2	-2	1	2	1	0	-1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0
χ₂₂	2	-2	2	0	-2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	-2	2	-2	0	2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₂₃	2	-2	2	0	-2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	-2	2	-2	0	2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₂₄	4	-4	-2	0	2	0	0	0	0	0	0	0	-4	4	2	0	-2	0	0	0	0	0	0	0

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