Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄₀⋊C₂

Direct product G=N×Q with N=C₅ and Q=C₄₀⋊C₂

		d	ρ	Label	ID
C₅×C₄₀⋊C₂		80	2	C5xC40:C2	400,78

Semidirect products G=N:Q with N=C₅ and Q=C₄₀⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄₀⋊C₂) = C₄₀⋊₂D₅	φ: C₄₀⋊C₂/C₄₀ → C₂ ⊆ Aut C₅	200		C5:1(C40:C2)	400,94
C₅⋊₂(C₄₀⋊C₂) = C₅²⋊₄SD₁₆	φ: C₄₀⋊C₂/Dic₁₀ → C₂ ⊆ Aut C₅	40	4+	C5:2(C40:C2)	400,68
C₅⋊₃(C₄₀⋊C₂) = C₅²⋊₃SD₁₆	φ: C₄₀⋊C₂/D₂₀ → C₂ ⊆ Aut C₅	80	4-	C5:3(C40:C2)	400,67

Non-split extensions G=N.Q with N=C₅ and Q=C₄₀⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₄₀⋊C₂) = C₂₀₀⋊C₂	φ: C₄₀⋊C₂/C₄₀ → C₂ ⊆ Aut C₅	200	2	C5.(C40:C2)	400,7

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Extensions 1→N→G→Q→1 with N=C5 and Q=C40⋊C2