Extensions 1→N→G→Q→1 with N=Dic₁₅ and Q=C₂

Direct product G=N×Q with N=Dic₁₅ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₁₅		120		C2xDic15	120,29

Semidirect products G=N:Q with N=Dic₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₅⋊₁C₂ = C₁₅⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₅	60	2	Dic15:1C2	120,30
Dic₁₅⋊₂C₂ = D₅×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₅	60	4-	Dic15:2C2	120,8
Dic₁₅⋊₃C₂ = S₃×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₅	60	4-	Dic15:3C2	120,9
Dic₁₅⋊₄C₂ = C₁₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₅	60	4-	Dic15:4C2	120,11
Dic₁₅⋊₅C₂ = C₄×D₁₅	φ: trivial image	60	2	Dic15:5C2	120,27

Non-split extensions G=N.Q with N=Dic₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₅.₁C₂ = Dic₃₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₅	120	2-	Dic15.1C2	120,26
Dic₁₅.₂C₂ = C₁₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₅	120	4-	Dic15.2C2	120,14

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