Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄.Dic₅

Direct product G=N×Q with N=C₅ and Q=C₄.Dic₅

		d	ρ	Label	ID
C₅×C₄.Dic₅		40	2	C5xC4.Dic5	400,82

Semidirect products G=N:Q with N=C₅ and Q=C₄.Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄.Dic₅) = C₂₀.₁₂F₅	φ: C₄.Dic₅/C₂₀ → C₄ ⊆ Aut C₅	80	4	C5:1(C4.Dic5)	400,143
C₅⋊₂(C₄.Dic₅) = C₁₀².C₄	φ: C₄.Dic₅/C₂×C₁₀ → C₄ ⊆ Aut C₅	40	4	C5:2(C4.Dic5)	400,147
C₅⋊₃(C₄.Dic₅) = C₂₀.₃₀D₁₀	φ: C₄.Dic₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₅	80	4	C5:3(C4.Dic5)	400,62
C₅⋊₄(C₄.Dic₅) = C₂₀.₅₉D₁₀	φ: C₄.Dic₅/C₂×C₂₀ → C₂ ⊆ Aut C₅	200		C5:4(C4.Dic5)	400,98

Non-split extensions G=N.Q with N=C₅ and Q=C₄.Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₄.Dic₅) = C₄.Dic₂₅	φ: C₄.Dic₅/C₂×C₂₀ → C₂ ⊆ Aut C₅	200	2	C5.(C4.Dic5)	400,10

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