Finite Group Databasebeta

← Group #1022

Character table — Group #1022

Order 96.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆
size	1	3	3	3	3	3	16	16	1	3	3	3	3	3	16	16
order	1	2	2	2	2	2	3	3	2	2	2	2	2	2	6	6
χ₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
χ₂	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₃	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₄	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0
χ₅	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0
χ₆	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0
χ₇	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0
χ₈	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₁₁	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₁₂	3	3	-1	-1	-1	-1	0	0	-3	-3	1	1	1	1	0	0
χ₁₃	3	-1	3	-1	-1	-1	0	0	-3	1	-3	1	1	1	0	0
χ₁₄	3	-1	-1	3	-1	-1	0	0	-3	1	1	-3	1	1	0	0
χ₁₅	3	-1	-1	-1	3	-1	0	0	-3	1	1	1	-3	1	0	0
χ₁₆	3	-1	-1	-1	-1	3	0	0	-3	1	1	1	1	-3	0	0

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