Finite Group Databasebeta

← Group #87513

Character table — Group #87513

Order 384.

	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	C₂₆
size	1	1	6	6	6	12	12	12	24	24	24	32	32	1	1	6	6	6	12	12	12	24	24	24	32	32
order	1	2	2	2	2	2	2	4	4	4	4	3	6	2	2	2	2	2	2	2	4	4	4	4	6	6
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	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	1
χ₃	2	2	2	2	2	0	0	2	0	0	0	-1	-1	2	2	2	2	2	0	0	2	0	0	0	-1	-1
χ₄	3	3	3	-1	-1	1	1	-1	1	-1	-1	0	0	3	3	3	-1	-1	1	1	-1	1	-1	-1	0	0
χ₅	3	3	3	-1	-1	-1	-1	-1	-1	1	1	0	0	3	3	3	-1	-1	-1	-1	-1	-1	1	1	0	0
χ₆	3	3	-1	3	-1	1	1	-1	-1	1	-1	0	0	3	3	-1	3	-1	1	1	-1	-1	1	-1	0	0
χ₇	3	3	-1	3	-1	-1	-1	-1	1	-1	1	0	0	3	3	-1	3	-1	-1	-1	-1	1	-1	1	0	0
χ₈	3	3	-1	-1	3	1	1	-1	-1	-1	1	0	0	3	3	-1	-1	3	1	1	-1	-1	-1	1	0	0
χ₉	3	3	-1	-1	3	-1	-1	-1	1	1	-1	0	0	3	3	-1	-1	3	-1	-1	-1	1	1	-1	0	0
χ₁₀	4	-4	0	0	0	2	-2	0	0	0	0	1	-1	4	-4	0	0	0	2	-2	0	0	0	0	1	-1
χ₁₁	4	-4	0	0	0	-2	2	0	0	0	0	1	-1	4	-4	0	0	0	-2	2	0	0	0	0	1	-1
χ₁₂	6	6	-2	-2	-2	0	0	2	0	0	0	0	0	6	6	-2	-2	-2	0	0	2	0	0	0	0	0
χ₁₃	8	-8	0	0	0	0	0	0	0	0	0	-1	1	8	-8	0	0	0	0	0	0	0	0	0	-1	1
χ₁₄	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	-1
χ₁₅	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	-1
χ₁₆	2	2	2	2	2	0	0	2	0	0	0	-1	-1	-2	-2	-2	-2	-2	0	0	-2	0	0	0	1	1
χ₁₇	3	3	3	-1	-1	1	1	-1	1	-1	-1	0	0	-3	-3	-3	1	1	-1	-1	1	-1	1	1	0	0
χ₁₈	3	3	3	-1	-1	-1	-1	-1	-1	1	1	0	0	-3	-3	-3	1	1	1	1	1	1	-1	-1	0	0
χ₁₉	3	3	-1	3	-1	1	1	-1	-1	1	-1	0	0	-3	-3	1	-3	1	-1	-1	1	1	-1	1	0	0
χ₂₀	3	3	-1	3	-1	-1	-1	-1	1	-1	1	0	0	-3	-3	1	-3	1	1	1	1	-1	1	-1	0	0
χ₂₁	3	3	-1	-1	3	1	1	-1	-1	-1	1	0	0	-3	-3	1	1	-3	-1	-1	1	1	1	-1	0	0
χ₂₂	3	3	-1	-1	3	-1	-1	-1	1	1	-1	0	0	-3	-3	1	1	-3	1	1	1	-1	-1	1	0	0
χ₂₃	4	-4	0	0	0	2	-2	0	0	0	0	1	-1	-4	4	0	0	0	-2	2	0	0	0	0	-1	1
χ₂₄	4	-4	0	0	0	-2	2	0	0	0	0	1	-1	-4	4	0	0	0	2	-2	0	0	0	0	-1	1
χ₂₅	6	6	-2	-2	-2	0	0	2	0	0	0	0	0	-6	-6	2	2	2	0	0	-2	0	0	0	0	0
χ₂₆	8	-8	0	0	0	0	0	0	0	0	0	-1	1	-8	8	0	0	0	0	0	0	0	0	0	1	-1