Finite Group Databasebeta

← Group #10596400

Character table — Group #10596400

Order 576.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀
size	1	1	6	6	8	8	8	8	18	32	32	32	32	36	36	48	48	72	72	72
order	1	2	4	4	3	3	6	6	2	3	3	6	6	4	4	12	12	2	8	8
χ₁	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
χ₃	2	2	2	2	2	-1	2	-1	2	-1	-1	-1	-1	0	0	2	-1	0	0	0
χ₄	2	2	2	2	-1	2	-1	2	2	-1	-1	-1	-1	0	0	-1	2	0	0	0
χ₅	2	2	2	2	-1	-1	-1	-1	2	2	-1	2	-1	0	0	-1	-1	0	0	0
χ₆	2	2	2	2	-1	-1	-1	-1	2	-1	2	-1	2	0	0	-1	-1	0	0	0
χ₇	3	3	3	-1	0	3	0	3	-1	0	0	0	0	1	1	0	-1	-1	1	-1
χ₈	3	3	3	-1	0	3	0	3	-1	0	0	0	0	-1	-1	0	-1	1	-1	1
χ₉	3	3	-1	3	3	0	3	0	-1	0	0	0	0	1	1	-1	0	-1	-1	1
χ₁₀	3	3	-1	3	3	0	3	0	-1	0	0	0	0	-1	-1	-1	0	1	1	-1
χ₁₁	4	-4	0	0	-2	-2	2	2	0	1	1	-1	-1	2	-2	0	0	0	0	0
χ₁₂	4	-4	0	0	-2	-2	2	2	0	1	1	-1	-1	-2	2	0	0	0	0	0
χ₁₃	6	6	6	-2	0	-3	0	-3	-2	0	0	0	0	0	0	0	1	0	0	0
χ₁₄	6	6	-2	6	-3	0	-3	0	-2	0	0	0	0	0	0	1	0	0	0	0
χ₁₅	8	-8	0	0	2	2	-2	-2	0	2	-1	-2	1	0	0	0	0	0	0	0
χ₁₆	8	-8	0	0	2	2	-2	-2	0	-1	2	1	-2	0	0	0	0	0	0	0
χ₁₇	8	-8	0	0	2	-4	-2	4	0	-1	-1	1	1	0	0	0	0	0	0	0
χ₁₈	8	-8	0	0	-4	2	4	-2	0	-1	-1	1	1	0	0	0	0	0	0	0
χ₁₉	9	9	-3	-3	0	0	0	0	1	0	0	0	0	1	1	0	0	1	-1	-1
χ₂₀	9	9	-3	-3	0	0	0	0	1	0	0	0	0	-1	-1	0	0	-1	1	1