Extensions 1→N→G→Q→1 with N=C₅ and Q=Dic₁₀

Direct product G=N×Q with N=C₅ and Q=Dic₁₀

		d	ρ	Label	ID
C₅×Dic₁₀		40	2	C5xDic10	200,27

Semidirect products G=N:Q with N=C₅ and Q=Dic₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁Dic₁₀ = C₅²⋊₂Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₅	40	4-	C5:1Dic10	200,26
C₅⋊₂Dic₁₀ = C₅²⋊₄Q₈	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₅	200		C5:2Dic10	200,32

Non-split extensions G=N.Q with N=C₅ and Q=Dic₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.Dic₁₀ = Dic₅₀	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₅	200	2-	C5.Dic10	200,4

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Extensions 1→N→G→Q→1 with N=C5 and Q=Dic10