Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₄₀

Direct product G=N×Q with N=Q₈ and Q=C₄₀

		d	ρ	Label	ID
Q₈×C₄₀		320		Q8xC40	320,946

Semidirect products G=N:Q with N=Q₈ and Q=C₄₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊C₄₀ = C₅×Q₈⋊C₈	φ: C₄₀/C₂₀ → C₂ ⊆ Out Q₈	320		Q8:C40	320,131

Non-split extensions G=N.Q with N=Q₈ and Q=C₄₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.C₄₀ = C₅×D₄.C₈	φ: C₄₀/C₂₀ → C₂ ⊆ Out Q₈	160	2	Q8.C40	320,155
Q₈.₂C₄₀ = C₅×D₄○C₁₆	φ: trivial image	160	2	Q8.2C40	320,1005

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Extensions 1→N→G→Q→1 with N=Q8 and Q=C40