Extensions 1→N→G→Q→1 with N=C₃×C₄○D₁₂ and Q=C₂

Direct product G=N×Q with N=C₃×C₄○D₁₂ and Q=C₂

		d	ρ	Label	ID
C₆×C₄○D₁₂		48		C6xC4oD12	288,991

Semidirect products G=N:Q with N=C₃×C₄○D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄○D₁₂)⋊₁C₂ = D₁₂.₃₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4	(C3xC4oD12):1C2	288,470
(C₃×C₄○D₁₂)⋊₂C₂ = D₁₂⋊₂₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4	(C3xC4oD12):2C2	288,471
(C₃×C₄○D₁₂)⋊₃C₂ = D₁₂⋊₁₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	24	4+	(C3xC4oD12):3C2	288,473
(C₃×C₄○D₁₂)⋊₄C₂ = D₁₂.₂₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4	(C3xC4oD12):4C2	288,477
(C₃×C₄○D₁₂)⋊₅C₂ = C₃×C₄○D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	2	(C3xC4oD12):5C2	288,675
(C₃×C₄○D₁₂)⋊₆C₂ = C₃×C₈⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4	(C3xC4oD12):6C2	288,679
(C₃×C₄○D₁₂)⋊₇C₂ = C₃×D₁₂⋊₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	24	4	(C3xC4oD12):7C2	288,703
(C₃×C₄○D₁₂)⋊₈C₂ = C₃×Q₈.₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4	(C3xC4oD12):8C2	288,721
(C₃×C₄○D₁₂)⋊₉C₂ = D₁₂.₃₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4	(C3xC4oD12):9C2	288,945
(C₃×C₄○D₁₂)⋊₁₀C₂ = D₁₂.₃₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4-	(C3xC4oD12):10C2	288,946
(C₃×C₄○D₁₂)⋊₁₁C₂ = S₃×C₄○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4	(C3xC4oD12):11C2	288,953
(C₃×C₄○D₁₂)⋊₁₂C₂ = D₁₂⋊₂₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	24	4	(C3xC4oD12):12C2	288,954
(C₃×C₄○D₁₂)⋊₁₃C₂ = D₁₂⋊₂₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4	(C3xC4oD12):13C2	288,955
(C₃×C₄○D₁₂)⋊₁₄C₂ = D₁₂⋊₂₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	24	4+	(C3xC4oD12):14C2	288,956
(C₃×C₄○D₁₂)⋊₁₅C₂ = C₃×D₄⋊₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	24	4	(C3xC4oD12):15C2	288,994
(C₃×C₄○D₁₂)⋊₁₆C₂ = C₃×Q₈.₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4	(C3xC4oD12):16C2	288,997
(C₃×C₄○D₁₂)⋊₁₇C₂ = C₃×S₃×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4	(C3xC4oD12):17C2	288,998
(C₃×C₄○D₁₂)⋊₁₈C₂ = C₃×D₄○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4	(C3xC4oD12):18C2	288,999
(C₃×C₄○D₁₂)⋊₁₉C₂ = C₃×Q₈○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4	(C3xC4oD12):19C2	288,1000

Non-split extensions G=N.Q with N=C₃×C₄○D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄○D₁₂).₁C₂ = D₁₂⋊₄Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	24	4	(C3xC4oD12).1C2	288,216
(C₃×C₄○D₁₂).₂C₂ = D₁₂⋊₂Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4	(C3xC4oD12).2C2	288,217
(C₃×C₄○D₁₂).₃C₂ = C₃×C₄²⋊₄S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	24	2	(C3xC4oD12).3C2	288,239
(C₃×C₄○D₁₂).₄C₂ = C₃×D₁₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4	(C3xC4oD12).4C2	288,259
(C₃×C₄○D₁₂).₅C₂ = D₁₂.₂Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4	(C3xC4oD12).5C2	288,462
(C₃×C₄○D₁₂).₆C₂ = D₁₂.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4	(C3xC4oD12).6C2	288,463
(C₃×C₄○D₁₂).₇C₂ = D₁₂.₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4	(C3xC4oD12).7C2	288,475
(C₃×C₄○D₁₂).₈C₂ = D₁₂.₂₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4-	(C3xC4oD12).8C2	288,479
(C₃×C₄○D₁₂).₉C₂ = C₃×D₁₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4	(C3xC4oD12).9C2	288,678
(C₃×C₄○D₁₂).₁₀C₂ = C₃×C₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4	(C3xC4oD12).10C2	288,680
(C₃×C₄○D₁₂).₁₁C₂ = C₃×Q₈.₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₁₂	48	4	(C3xC4oD12).11C2	288,713
(C₃×C₄○D₁₂).₁₂C₂ = C₃×C₈○D₁₂	φ: trivial image	48	2	(C3xC4oD12).12C2	288,672

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