Extensions 1→N→G→Q→1 with N=C₅ and Q=Dic₂₀

Direct product G=N×Q with N=C₅ and Q=Dic₂₀

		d	ρ	Label	ID
C₅×Dic₂₀		80	2	C5xDic20	400,80

Semidirect products G=N:Q with N=C₅ and Q=Dic₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁Dic₂₀ = C₄₀.D₅	φ: Dic₂₀/C₄₀ → C₂ ⊆ Aut C₅	400		C5:1Dic20	400,96
C₅⋊₂Dic₂₀ = C₅²⋊₃Q₁₆	φ: Dic₂₀/Dic₁₀ → C₂ ⊆ Aut C₅	80	4-	C5:2Dic20	400,70

Non-split extensions G=N.Q with N=C₅ and Q=Dic₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.Dic₂₀ = Dic₁₀₀	φ: Dic₂₀/C₄₀ → C₂ ⊆ Aut C₅	400	2-	C5.Dic20	400,4

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Extensions 1→N→G→Q→1 with N=C5 and Q=Dic20