Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×D₂₀

Direct product G=N×Q with N=C₅ and Q=C₂×D₂₀

		d	ρ	Label	ID
C₁₀×D₂₀		80		C10xD20	400,183

Semidirect products G=N:Q with N=C₅ and Q=C₂×D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×D₂₀) = D₅×D₂₀	φ: C₂×D₂₀/D₂₀ → C₂ ⊆ Aut C₅	40	4+	C5:1(C2xD20)	400,170
C₅⋊₂(C₂×D₂₀) = C₂×C₂₀⋊D₅	φ: C₂×D₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₅	200		C5:2(C2xD20)	400,193
C₅⋊₃(C₂×D₂₀) = C₂×C₅⋊D₂₀	φ: C₂×D₂₀/C₂²×D₅ → C₂ ⊆ Aut C₅	40		C5:3(C2xD20)	400,177

Non-split extensions G=N.Q with N=C₅ and Q=C₂×D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₂×D₂₀) = C₂×D₁₀₀	φ: C₂×D₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₅	200		C5.(C2xD20)	400,37

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Extensions 1→N→G→Q→1 with N=C5 and Q=C2×D20