Extensions 1→N→G→Q→1 with N=C₁₅ and Q=Dic₃

Direct product G=N×Q with N=C₁₅ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₁₅		60	2	Dic3xC15	180,14

Semidirect products G=N:Q with N=C₁₅ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁Dic₃ = C₃²⋊₃F₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₁₅	45		C15:1Dic3	180,22
C₁₅⋊₂Dic₃ = C₃×C₃⋊F₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₁₅	30	4	C15:2Dic3	180,21
C₁₅⋊₃Dic₃ = C₃⋊Dic₁₅	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₅	180		C15:3Dic3	180,17
C₁₅⋊₄Dic₃ = C₃×Dic₁₅	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₅	60	2	C15:4Dic3	180,15
C₁₅⋊₅Dic₃ = C₅×C₃⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₅	180		C15:5Dic3	180,16

Non-split extensions G=N.Q with N=C₁₅ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.Dic₃ = C₉⋊F₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₁₅	45	4	C15.Dic3	180,6
C₁₅.₂Dic₃ = Dic₄₅	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₅	180	2-	C15.2Dic3	180,3
C₁₅.₃Dic₃ = C₅×Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₅	180	2	C15.3Dic3	180,1

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