Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₄₀

Direct product G=N×Q with N=C₂³ and Q=C₄₀

		d	ρ	Label	ID
C₂³×C₄₀		320		C2^3xC40	320,1567

Semidirect products G=N:Q with N=C₂³ and Q=C₄₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊C₄₀ = C₅×C₂³⋊C₈	φ: C₄₀/C₁₀ → C₄ ⊆ Aut C₂³	80		C2^3:C40	320,128
C₂³⋊₂C₄₀ = C₁₀×C₂²⋊C₈	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3:2C40	320,907

Non-split extensions G=N.Q with N=C₂³ and Q=C₄₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.C₄₀ = C₅×C₂³.C₈	φ: C₄₀/C₁₀ → C₄ ⊆ Aut C₂³	80	4	C2^3.C40	320,154
C₂³.₂C₄₀ = C₅×C₂²⋊C₁₆	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3.2C40	320,153
C₂³.₃C₄₀ = C₁₀×M₅(2)	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3.3C40	320,1004

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Extensions 1→N→G→Q→1 with N=C23 and Q=C40