Finite Group Databasebeta

← Group #6322

Character table — Group #6322

Order 216.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅
size	1	2	4	4	8	8	9	18	18	18	18	18	18	36	36
order	1	3	3	3	3	3	2	2	2	4	6	12	12	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	2	2	2	-2	0	0	0	-2	0	0	0	0
χ₆	2	-1	2	2	-1	-1	2	0	0	2	-1	-1	-1	0	0
χ₇	2	-1	2	2	-1	-1	2	0	0	-2	-1	1	1	0	0
χ₈	2	-1	2	2	-1	-1	-2	0	0	0	1	$\sqrt{3}$	$- \sqrt{3}$	0	0
χ₉	2	-1	2	2	-1	-1	-2	0	0	0	1	$- \sqrt{3}$	$\sqrt{3}$	0	0
χ₁₀	4	4	1	-2	1	-2	0	0	2	0	0	0	0	0	-1
χ₁₁	4	4	1	-2	1	-2	0	0	-2	0	0	0	0	0	1
χ₁₂	4	4	-2	1	-2	1	0	2	0	0	0	0	0	-1	0
χ₁₃	4	4	-2	1	-2	1	0	-2	0	0	0	0	0	1	0
χ₁₄	8	-4	2	-4	-1	2	0	0	0	0	0	0	0	0	0
χ₁₅	8	-4	-4	2	2	-1	0	0	0	0	0	0	0	0	0