Extensions 1→N→G→Q→1 with N=C₃xD₁₂ and Q=C₄

Direct product G=NxQ with N=C₃xD₁₂ and Q=C₄

		d	ρ	Label	ID
C₁₂xD₁₂		96		C12xD12	288,644

Semidirect products G=N:Q with N=C₃xD₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xD₁₂):₁C₄ = D₁₂:₃Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃xD₁₂	96		(C3xD12):1C4	288,210
(C₃xD₁₂):₂C₄ = C₆.₁₆D₂₄	φ: C₄/C₂ → C₂ ⊆ Out C₃xD₁₂	96		(C3xD12):2C4	288,211
(C₃xD₁₂):₃C₄ = D₁₂:₄Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃xD₁₂	24	4	(C3xD12):3C4	288,216
(C₃xD₁₂):₄C₄ = D₁₂:₂Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃xD₁₂	48	4	(C3xD12):4C4	288,217
(C₃xD₁₂):₅C₄ = C₃xC₆.D₈	φ: C₄/C₂ → C₂ ⊆ Out C₃xD₁₂	96		(C3xD12):5C4	288,243
(C₃xD₁₂):₆C₄ = C₃xD₁₂:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃xD₁₂	48	4	(C3xD12):6C4	288,259
(C₃xD₁₂):₇C₄ = Dic₃xD₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₃xD₁₂	96		(C3xD12):7C4	288,540
(C₃xD₁₂):₈C₄ = D₁₂:Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃xD₁₂	96		(C3xD12):8C4	288,546
(C₃xD₁₂):₉C₄ = C₃xDic₃:₅D₄	φ: C₄/C₂ → C₂ ⊆ Out C₃xD₁₂	96		(C3xD12):9C4	288,664
(C₃xD₁₂):₁₀C₄ = C₃xC₄²:₄S₃	φ: C₄/C₂ → C₂ ⊆ Out C₃xD₁₂	24	2	(C3xD12):10C4	288,239
(C₃xD₁₂):₁₁C₄ = C₃xC₂.D₂₄	φ: C₄/C₂ → C₂ ⊆ Out C₃xD₁₂	96		(C3xD12):11C4	288,255

Non-split extensions G=N.Q with N=C₃xD₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xD₁₂).₁C₄ = D₁₂.₂Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃xD₁₂	48	4	(C3xD12).1C4	288,462
(C₃xD₁₂).₂C₄ = D₁₂.Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃xD₁₂	48	4	(C3xD12).2C4	288,463
(C₃xD₁₂).₃C₄ = C₃xD₁₂.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃xD₁₂	48	4	(C3xD12).3C4	288,678
(C₃xD₁₂).₄C₄ = C₃xC₈oD₁₂	φ: trivial image	48	2	(C3xD12).4C4	288,672

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