Finite Group Databasebeta

← Group #10596771

Character table — Group #10596771

Order 576.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁	C₂₂	C₂₃	C₂₄	C₂₅
size	1	3	6	6	8	3	9	18	18	24	6	18	36	36	48	6	18	36	36	48	8	24	48	48	64
order	1	2	2	4	3	2	2	2	4	6	2	2	2	4	6	4	4	4	4	12	3	6	6	12	3
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	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	1
χ₃	2	2	0	0	-1	2	2	0	0	-1	2	2	0	0	-1	2	2	0	0	-1	2	2	0	0	-1
χ₄	3	-1	1	-1	0	3	-1	1	-1	0	3	-1	1	-1	0	3	-1	1	-1	0	3	-1	1	-1	0
χ₅	3	-1	-1	1	0	3	-1	-1	1	0	3	-1	-1	1	0	3	-1	-1	1	0	3	-1	-1	1	0
χ₆	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1
χ₇	1	1	-1	-1	1	1	1	-1	-1	1	-1	-1	1	1	-1	-1	-1	1	1	-1	1	1	-1	-1	1
χ₈	2	2	0	0	-1	2	2	0	0	-1	-2	-2	0	0	1	-2	-2	0	0	1	2	2	0	0	-1
χ₉	3	-1	1	-1	0	3	-1	1	-1	0	-3	1	-1	1	0	-3	1	-1	1	0	3	-1	1	-1	0
χ₁₀	3	-1	-1	1	0	3	-1	-1	1	0	-3	1	1	-1	0	-3	1	1	-1	0	3	-1	-1	1	0
χ₁₁	2	2	2	2	2	2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1
χ₁₂	2	2	-2	-2	2	2	2	-2	-2	2	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1	-1
χ₁₃	4	4	0	0	-2	4	4	0	0	-2	0	0	0	0	0	0	0	0	0	0	-2	-2	0	0	1
χ₁₄	6	-2	2	-2	0	6	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	-3	1	-1	1	0
χ₁₅	6	-2	-2	2	0	6	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	-3	1	1	-1	0
χ₁₆	3	3	3	3	3	-1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	-1	-1	-1	0	0	0	0	0
χ₁₇	3	3	-3	-3	3	-1	-1	1	1	-1	1	1	-1	-1	1	-1	-1	1	1	-1	0	0	0	0	0
χ₁₈	6	6	0	0	-3	-2	-2	0	0	1	2	2	0	0	-1	-2	-2	0	0	1	0	0	0	0	0
χ₁₉	9	-3	3	-3	0	-3	1	-1	1	0	3	-1	1	-1	0	-3	1	-1	1	0	0	0	0	0	0
χ₂₀	9	-3	-3	3	0	-3	1	1	-1	0	3	-1	-1	1	0	-3	1	1	-1	0	0	0	0	0	0
χ₂₁	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	0	0	0	0	0
χ₂₂	3	3	-3	-3	3	-1	-1	1	1	-1	-1	-1	1	1	-1	1	1	-1	-1	1	0	0	0	0	0
χ₂₃	6	6	0	0	-3	-2	-2	0	0	1	-2	-2	0	0	1	2	2	0	0	-1	0	0	0	0	0
χ₂₄	9	-3	3	-3	0	-3	1	-1	1	0	-3	1	-1	1	0	3	-1	1	-1	0	0	0	0	0	0
χ₂₅	9	-3	-3	3	0	-3	1	1	-1	0	-3	1	1	-1	0	3	-1	-1	1	0	0	0	0	0	0