Extensions 1→N→G→Q→1 with N=C₃×D₁₂ and Q=C₄

Direct product G=N×Q with N=C₃×D₁₂ and Q=C₄

		d	ρ	Label	ID
C₁₂×D₁₂		96		C12xD12	288,644

Semidirect products G=N:Q with N=C₃×D₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₁₂)⋊₁C₄ = D₁₂⋊₃Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₁₂	96		(C3xD12):1C4	288,210
(C₃×D₁₂)⋊₂C₄ = C₆.₁₆D₂₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₁₂	96		(C3xD12):2C4	288,211
(C₃×D₁₂)⋊₃C₄ = D₁₂⋊₄Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₁₂	24	4	(C3xD12):3C4	288,216
(C₃×D₁₂)⋊₄C₄ = D₁₂⋊₂Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₁₂	48	4	(C3xD12):4C4	288,217
(C₃×D₁₂)⋊₅C₄ = C₃×C₆.D₈	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₁₂	96		(C3xD12):5C4	288,243
(C₃×D₁₂)⋊₆C₄ = C₃×D₁₂⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₁₂	48	4	(C3xD12):6C4	288,259
(C₃×D₁₂)⋊₇C₄ = Dic₃×D₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₁₂	96		(C3xD12):7C4	288,540
(C₃×D₁₂)⋊₈C₄ = D₁₂⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₁₂	96		(C3xD12):8C4	288,546
(C₃×D₁₂)⋊₉C₄ = C₃×Dic₃⋊₅D₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₁₂	96		(C3xD12):9C4	288,664
(C₃×D₁₂)⋊₁₀C₄ = C₃×C₄²⋊₄S₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₁₂	24	2	(C3xD12):10C4	288,239
(C₃×D₁₂)⋊₁₁C₄ = C₃×C₂.D₂₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₁₂	96		(C3xD12):11C4	288,255

Non-split extensions G=N.Q with N=C₃×D₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₁₂).₁C₄ = D₁₂.₂Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₁₂	48	4	(C3xD12).1C4	288,462
(C₃×D₁₂).₂C₄ = D₁₂.Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₁₂	48	4	(C3xD12).2C4	288,463
(C₃×D₁₂).₃C₄ = C₃×D₁₂.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₁₂	48	4	(C3xD12).3C4	288,678
(C₃×D₁₂).₄C₄ = C₃×C₈○D₁₂	φ: trivial image	48	2	(C3xD12).4C4	288,672

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