Extensions 1→N→G→Q→1 with N=Dic₃.D₆ and Q=C₂

Direct product G=N×Q with N=Dic₃.D₆ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₃.D₆		48		C2xDic3.D6	288,947

Semidirect products G=N:Q with N=Dic₃.D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.D₆⋊₁C₂ = C₂₄⋊₉D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₆	48	4	Dic3.D6:1C2	288,444
Dic₃.D₆⋊₂C₂ = D₁₂.₄D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₆	48	4	Dic3.D6:2C2	288,459
Dic₃.D₆⋊₃C₂ = Dic₆⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₆	24	8+	Dic3.D6:3C2	288,578
Dic₃.D₆⋊₄C₂ = Dic₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₆	48	8-	Dic3.D6:4C2	288,579
Dic₃.D₆⋊₅C₂ = Dic₆.₁₀D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₆	48	8+	Dic3.D6:5C2	288,593
Dic₃.D₆⋊₆C₂ = S₃²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₆	24	4	Dic3.D6:6C2	288,868
Dic₃.D₆⋊₇C₂ = C₄.₄S₃≀C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₆	24	8+	Dic3.D6:7C2	288,869
Dic₃.D₆⋊₈C₂ = C₃²⋊Q₁₆⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₆	48	4	Dic3.D6:8C2	288,874
Dic₃.D₆⋊₉C₂ = C₃⋊S₃⋊₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₆	24	8+	Dic3.D6:9C2	288,875
Dic₃.D₆⋊₁₀C₂ = D₁₂.₃₃D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₆	48	4	Dic3.D6:10C2	288,945
Dic₃.D₆⋊₁₁C₂ = Dic₆.₂₄D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₆	48	8-	Dic3.D6:11C2	288,957
Dic₃.D₆⋊₁₂C₂ = Dic₆⋊₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₆	24	8+	Dic3.D6:12C2	288,960
Dic₃.D₆⋊₁₃C₂ = Dic₆.₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₆	48	8+	Dic3.D6:13C2	288,964
Dic₃.D₆⋊₁₄C₂ = S₃²×Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₆	48	8-	Dic3.D6:14C2	288,965
Dic₃.D₆⋊₁₅C₂ = D₁₂⋊₂₃D₆	φ: trivial image	24	4	Dic3.D6:15C2	288,954

Non-split extensions G=N.Q with N=Dic₃.D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.D₆.₁C₂ = (C₃×C₁₂).D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₆	48	4	Dic3.D6.1C2	288,376
Dic₃.D₆.₂C₂ = C₃⋊S₃.₂Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₆	48	4	Dic3.D6.2C2	288,378
Dic₃.D₆.₃C₂ = C₂₄.₂₃D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₆	48	4	Dic3.D6.3C2	288,450
Dic₃.D₆.₄C₂ = Dic₆.₉D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₆	48	8-	Dic3.D6.4C2	288,592
Dic₃.D₆.₅C₂ = C₃²⋊C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₆	48	8-	Dic3.D6.5C2	288,870
Dic₃.D₆.₆C₂ = C₃⋊S₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₆	48	8-	Dic3.D6.6C2	288,876

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