Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂₀

Direct product G=N×Q with N=C₈ and Q=C₂₀

		d	ρ	Label	ID
C₄×C₄₀		160		C4xC40	160,46

Semidirect products G=N:Q with N=C₈ and Q=C₂₀

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁C₂₀ = C₅×C₂.D₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₈	160	C8:1C20	160,57
C₈⋊₂C₂₀ = C₅×C₄.Q₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₈	160	C8:2C20	160,56
C₈⋊₃C₂₀ = C₅×C₈⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₈	160	C8:3C20	160,47

Non-split extensions G=N.Q with N=C₈ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁C₂₀ = C₅×C₈.C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₈	80	2	C8.1C20	160,58
C₈.₂C₂₀ = C₅×M₅(2)	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₈	80	2	C8.2C20	160,60

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Extensions 1→N→G→Q→1 with N=C8 and Q=C20