Extensions 1→N→G→Q→1 with N=C₃×Dic₁₅ and Q=C₂

Direct product G=N×Q with N=C₃×Dic₁₅ and Q=C₂

		d	ρ	Label	ID
C₆×Dic₁₅		120		C6xDic15	360,103

Semidirect products G=N:Q with N=C₃×Dic₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₁₅)⋊₁C₂ = C₃×C₁₅⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₅	60	2	(C3xDic15):1C2	360,104
(C₃×Dic₁₅)⋊₂C₂ = C₃×D₅×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₅	60	4	(C3xDic15):2C2	360,58
(C₃×Dic₁₅)⋊₃C₂ = C₃×S₃×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₅	120	4	(C3xDic15):3C2	360,59
(C₃×Dic₁₅)⋊₄C₂ = C₃×C₁₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₅	60	4	(C3xDic15):4C2	360,61
(C₃×Dic₁₅)⋊₅C₂ = S₃×Dic₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₅	120	4-	(C3xDic15):5C2	360,78
(C₃×Dic₁₅)⋊₆C₂ = C₆.D₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₅	60	4+	(C3xDic15):6C2	360,79
(C₃×Dic₁₅)⋊₇C₂ = D₆⋊₂D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₅	60	4+	(C3xDic15):7C2	360,82
(C₃×Dic₁₅)⋊₈C₂ = D₃₀.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₅	120	4	(C3xDic15):8C2	360,84
(C₃×Dic₁₅)⋊₉C₂ = Dic₁₅⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₅	60	4	(C3xDic15):9C2	360,85
(C₃×Dic₁₅)⋊₁₀C₂ = D₃₀⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₅	60	4	(C3xDic15):10C2	360,86
(C₃×Dic₁₅)⋊₁₁C₂ = C₁₂×D₁₅	φ: trivial image	120	2	(C3xDic15):11C2	360,101

Non-split extensions G=N.Q with N=C₃×Dic₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₁₅).₁C₂ = C₃×Dic₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₅	120	2	(C3xDic15).1C2	360,100
(C₃×Dic₁₅).₂C₂ = C₃×C₁₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₅	120	4	(C3xDic15).2C2	360,64
(C₃×Dic₁₅).₃C₂ = C₃⋊Dic₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₅	120	4-	(C3xDic15).3C2	360,83
(C₃×Dic₁₅).₄C₂ = C₃²⋊₃Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₅	120	4	(C3xDic15).4C2	360,88

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