Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄○D₂₀

Direct product G=N×Q with N=C₅ and Q=C₄○D₂₀

		d	ρ	Label	ID
C₅×C₄○D₂₀		40	2	C5xC4oD20	400,184

Semidirect products G=N:Q with N=C₅ and Q=C₄○D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄○D₂₀) = Dic₁₀⋊₅D₅	φ: C₄○D₂₀/Dic₁₀ → C₂ ⊆ Aut C₅	40	4+	C5:1(C4oD20)	400,168
C₅⋊₂(C₄○D₂₀) = D₁₀.₉D₁₀	φ: C₄○D₂₀/C₄×D₅ → C₂ ⊆ Aut C₅	40	4	C5:2(C4oD20)	400,167
C₅⋊₃(C₄○D₂₀) = D₂₀⋊₅D₅	φ: C₄○D₂₀/D₂₀ → C₂ ⊆ Aut C₅	80	4-	C5:3(C4oD20)	400,164
C₅⋊₄(C₄○D₂₀) = Dic₅.D₁₀	φ: C₄○D₂₀/C₅⋊D₄ → C₂ ⊆ Aut C₅	40	4	C5:4(C4oD20)	400,173
C₅⋊₅(C₄○D₂₀) = C₂₀.₅₀D₁₀	φ: C₄○D₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₅	200		C5:5(C4oD20)	400,194

Non-split extensions G=N.Q with N=C₅ and Q=C₄○D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₄○D₂₀) = D₁₀₀⋊₅C₂	φ: C₄○D₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₅	200	2	C5.(C4oD20)	400,38

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