Extensions 1→N→G→Q→1 with N=Dic₃ and Q=D₁₂

Direct product G=N×Q with N=Dic₃ and Q=D₁₂

		d	ρ	Label	ID
Dic₃×D₁₂		96		Dic3xD12	288,540

Semidirect products G=N:Q with N=Dic₃ and Q=D₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁D₁₂ = C₁₂⋊D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₃	48		Dic3:1D12	288,559
Dic₃⋊₂D₁₂ = Dic₃⋊D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₃	48		Dic3:2D12	288,534
Dic₃⋊₃D₁₂ = Dic₃⋊₃D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₃	48		Dic3:3D12	288,558
Dic₃⋊₄D₁₂ = Dic₃⋊₄D₁₂	φ: trivial image	48		Dic3:4D12	288,528
Dic₃⋊₅D₁₂ = Dic₃⋊₅D₁₂	φ: trivial image	48		Dic3:5D12	288,542

Non-split extensions G=N.Q with N=Dic₃ and Q=D₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁D₁₂ = S₃×C₂₄⋊C₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₃	48	4	Dic3.1D12	288,440
Dic₃.₂D₁₂ = S₃×D₂₄	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₃	48	4+	Dic3.2D12	288,441
Dic₃.₃D₁₂ = S₃×Dic₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₃	96	4-	Dic3.3D12	288,447
Dic₃.₄D₁₂ = Dic₃.D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₃	48		Dic3.4D12	288,500
Dic₃.₅D₁₂ = C₁₂⋊₃Dic₆	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₃	96		Dic3.5D12	288,566
Dic₃.₆D₁₂ = C₂₄⋊₁D₆	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₃	48	4+	Dic3.6D12	288,442
Dic₃.₇D₁₂ = D₂₄⋊S₃	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₃	48	4	Dic3.7D12	288,443
Dic₃.₈D₁₂ = C₂₄.₃D₆	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₃	96	4-	Dic3.8D12	288,448
Dic₃.₉D₁₂ = Dic₁₂⋊S₃	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₃	48	4	Dic3.9D12	288,449
Dic₃.₁₀D₁₂ = D₆⋊₂Dic₆	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₃	96		Dic3.10D12	288,541
Dic₃.₁₁D₁₂ = C₆².₆₅C₂³	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₃	48		Dic3.11D12	288,543
Dic₃.₁₂D₁₂ = D₆.₁D₁₂	φ: trivial image	48	4	Dic3.12D12	288,454
Dic₃.₁₃D₁₂ = D₂₄⋊₇S₃	φ: trivial image	96	4-	Dic3.13D12	288,455
Dic₃.₁₄D₁₂ = D₆.₃D₁₂	φ: trivial image	48	4+	Dic3.14D12	288,456

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