Extensions 1→N→G→Q→1 with N=Dic₆ and Q=Dic₃

Direct product G=N×Q with N=Dic₆ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×Dic₆		96		Dic3xDic6	288,490

Semidirect products G=N:Q with N=Dic₆ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁Dic₃ = C₆.Dic₁₂	φ: Dic₃/C₆ → C₂ ⊆ Out Dic₆	96		Dic6:1Dic3	288,214
Dic₆⋊₂Dic₃ = D₁₂⋊₂Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out Dic₆	48	4	Dic6:2Dic3	288,217
Dic₆⋊₃Dic₃ = Dic₆⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out Dic₆	96		Dic6:3Dic3	288,213
Dic₆⋊₄Dic₃ = D₁₂⋊₄Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out Dic₆	24	4	Dic6:4Dic3	288,216
Dic₆⋊₅Dic₃ = C₆².₁₃C₂³	φ: Dic₃/C₆ → C₂ ⊆ Out Dic₆	96		Dic6:5Dic3	288,491

Non-split extensions G=N.Q with N=Dic₆ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.Dic₃ = D₁₂.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out Dic₆	48	4	Dic6.Dic3	288,463
Dic₆.₂Dic₃ = D₁₂.₂Dic₃	φ: trivial image	48	4	Dic6.2Dic3	288,462

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