Extensions 1→N→G→Q→1 with N=C₈ and Q=C₄₀

Direct product G=N×Q with N=C₈ and Q=C₄₀

		d	ρ	Label	ID
C₈×C₄₀		320		C8xC40	320,126

Semidirect products G=N:Q with N=C₈ and Q=C₄₀

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁C₄₀ = C₅×C₈⋊₁C₈	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₈	320	C8:1C40	320,140
C₈⋊₂C₄₀ = C₅×C₈⋊₂C₈	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₈	320	C8:2C40	320,139
C₈⋊₃C₄₀ = C₅×C₈⋊C₈	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₈	320	C8:3C40	320,127

Non-split extensions G=N.Q with N=C₈ and Q=C₄₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁C₄₀ = C₅×C₈.C₈	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₈	80	2	C8.1C40	320,169
C₈.₂C₄₀ = C₅×C₁₆⋊₅C₄	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₈	320		C8.2C40	320,151
C₈.₃C₄₀ = C₅×M₆(2)	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₈	160	2	C8.3C40	320,175

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Extensions 1→N→G→Q→1 with N=C8 and Q=C40