Extensions 1→N→G→Q→1 with N=C₃xDic₁₅ and Q=C₂

Direct product G=NxQ with N=C₃xDic₁₅ and Q=C₂

		d	ρ	Label	ID
C₆xDic₁₅		120		C6xDic15	360,103

Semidirect products G=N:Q with N=C₃xDic₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xDic₁₅):₁C₂ = C₃xC₁₅:₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₅	60	2	(C3xDic15):1C2	360,104
(C₃xDic₁₅):₂C₂ = C₃xD₅xDic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₅	60	4	(C3xDic15):2C2	360,58
(C₃xDic₁₅):₃C₂ = C₃xS₃xDic₅	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₅	120	4	(C3xDic15):3C2	360,59
(C₃xDic₁₅):₄C₂ = C₃xC₁₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₅	60	4	(C3xDic15):4C2	360,61
(C₃xDic₁₅):₅C₂ = S₃xDic₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₅	120	4-	(C3xDic15):5C2	360,78
(C₃xDic₁₅):₆C₂ = C₆.D₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₅	60	4+	(C3xDic15):6C2	360,79
(C₃xDic₁₅):₇C₂ = D₆:₂D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₅	60	4+	(C3xDic15):7C2	360,82
(C₃xDic₁₅):₈C₂ = D₃₀.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₅	120	4	(C3xDic15):8C2	360,84
(C₃xDic₁₅):₉C₂ = Dic₁₅:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₅	60	4	(C3xDic15):9C2	360,85
(C₃xDic₁₅):₁₀C₂ = D₃₀:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₅	60	4	(C3xDic15):10C2	360,86
(C₃xDic₁₅):₁₁C₂ = C₁₂xD₁₅	φ: trivial image	120	2	(C3xDic15):11C2	360,101

Non-split extensions G=N.Q with N=C₃xDic₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xDic₁₅).₁C₂ = C₃xDic₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₅	120	2	(C3xDic15).1C2	360,100
(C₃xDic₁₅).₂C₂ = C₃xC₁₅:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₅	120	4	(C3xDic15).2C2	360,64
(C₃xDic₁₅).₃C₂ = C₃:Dic₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₅	120	4-	(C3xDic15).3C2	360,83
(C₃xDic₁₅).₄C₂ = C₃²:₃Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₃xDic₁₅	120	4	(C3xDic15).4C2	360,88

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