Extensions 1→N→G→Q→1 with N=C₃×Dic₆ and Q=C₂

Direct product G=N×Q with N=C₃×Dic₆ and Q=C₂

		d	ρ	Label	ID
C₆×Dic₆		48		C6xDic6	144,158

Semidirect products G=N:Q with N=C₃×Dic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₆)⋊₁C₂ = Dic₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6):1C2	144,58
(C₃×Dic₆)⋊₂C₂ = C₃²⋊₅SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₆	24	4+	(C3xDic6):2C2	144,60
(C₃×Dic₆)⋊₃C₂ = C₃×D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₆	24	4	(C3xDic6):3C2	144,81
(C₃×Dic₆)⋊₄C₂ = S₃×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₆	48	4-	(C3xDic6):4C2	144,137
(C₃×Dic₆)⋊₅C₂ = D₁₂⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₆	24	4	(C3xDic6):5C2	144,139
(C₃×Dic₆)⋊₆C₂ = Dic₃.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₆	24	4	(C3xDic6):6C2	144,140
(C₃×Dic₆)⋊₇C₂ = D₆.₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₆	24	4+	(C3xDic6):7C2	144,142
(C₃×Dic₆)⋊₈C₂ = C₃×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₆	24	4	(C3xDic6):8C2	144,163
(C₃×Dic₆)⋊₉C₂ = C₃×S₃×Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6):9C2	144,164
(C₃×Dic₆)⋊₁₀C₂ = C₃×C₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₆	48	2	(C3xDic6):10C2	144,71
(C₃×Dic₆)⋊₁₁C₂ = C₃×C₄○D₁₂	φ: trivial image	24	2	(C3xDic6):11C2	144,161

Non-split extensions G=N.Q with N=C₃×Dic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₆).₁C₂ = C₃²⋊₂Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6).1C2	144,61
(C₃×Dic₆).₂C₂ = C₃²⋊₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₆	48	4-	(C3xDic6).2C2	144,62
(C₃×Dic₆).₃C₂ = C₃×C₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6).3C2	144,83
(C₃×Dic₆).₄C₂ = C₃×Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₆	48	2	(C3xDic6).4C2	144,73

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