Extensions 1→N→G→Q→1 with N=C₁₅ and Q=Dic₅

Direct product G=N×Q with N=C₁₅ and Q=Dic₅

		d	ρ	Label	ID
C₁₅×Dic₅		60	2	C15xDic5	300,16

Semidirect products G=N:Q with N=C₁₅ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁Dic₅ = D₅.D₁₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₁₅	60	4	C15:1Dic5	300,33
C₁₅⋊₂Dic₅ = C₃×D₅.D₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₁₅	60	4	C15:2Dic5	300,29
C₁₅⋊₃Dic₅ = C₃₀.D₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₁₅	300		C15:3Dic5	300,20
C₁₅⋊₄Dic₅ = C₃×C₅²⋊₆C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₁₅	300		C15:4Dic5	300,17
C₁₅⋊₅Dic₅ = C₅×Dic₁₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₁₅	60	2	C15:5Dic5	300,19

Non-split extensions G=N.Q with N=C₁₅ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.₁Dic₅ = Dic₇₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₁₅	300	2-	C15.1Dic5	300,3
C₁₅.₂Dic₅ = C₃×Dic₂₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₁₅	300	2	C15.2Dic5	300,2

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