Finite Group Databasebeta

← Group #1113

Character table — Group #1113

Order 108.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅
size	1	2	2	2	4	4	4	4	4	9	9	9	18	18	18
order	1	3	3	3	3	3	3	3	3	2	2	2	6	6	6
χ₁	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
χ₃	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
χ₅	2	2	2	-1	2	-1	-1	-1	-1	0	0	2	0	0	-1
χ₆	2	2	2	-1	2	-1	-1	-1	-1	0	0	-2	0	0	1
χ₇	2	2	-1	2	-1	2	-1	-1	-1	0	2	0	0	-1	0
χ₈	2	2	-1	2	-1	2	-1	-1	-1	0	-2	0	0	1	0
χ₉	2	-1	2	2	-1	-1	2	-1	-1	2	0	0	-1	0	0
χ₁₀	2	-1	2	2	-1	-1	2	-1	-1	-2	0	0	1	0	0
χ₁₁	4	4	-2	-2	-2	-2	1	1	1	0	0	0	0	0	0
χ₁₂	4	-2	4	-2	-2	1	-2	1	1	0	0	0	0	0	0
χ₁₃	4	-2	-2	4	1	-2	-2	1	1	0	0	0	0	0	0
χ₁₄	4	-2	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0
χ₁₅	4	-2	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0

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