Extensions 1→N→G→Q→1 with N=C₅ and Q=Dic₁₅

Direct product G=N×Q with N=C₅ and Q=Dic₁₅

		d	ρ	Label	ID
C₅×Dic₁₅		60	2	C5xDic15	300,19

Semidirect products G=N:Q with N=C₅ and Q=Dic₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊Dic₁₅ = D₅.D₁₅	φ: Dic₁₅/C₁₅ → C₄ ⊆ Aut C₅	60	4	C5:Dic15	300,33
C₅⋊₂Dic₁₅ = C₃₀.D₅	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₅	300		C5:2Dic15	300,20

Non-split extensions G=N.Q with N=C₅ and Q=Dic₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.Dic₁₅ = Dic₇₅	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₅	300	2-	C5.Dic15	300,3

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Extensions 1→N→G→Q→1 with N=C5 and Q=Dic15