Extensions 1→N→G→Q→1 with N=C₃xC₄oD₁₂ and Q=C₂

Direct product G=NxQ with N=C₃xC₄oD₁₂ and Q=C₂

		d	ρ	Label	ID
C₆xC₄oD₁₂		48		C6xC4oD12	288,991

Semidirect products G=N:Q with N=C₃xC₄oD₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₄oD₁₂):₁C₂ = D₁₂.₃₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4	(C3xC4oD12):1C2	288,470
(C₃xC₄oD₁₂):₂C₂ = D₁₂:₂₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4	(C3xC4oD12):2C2	288,471
(C₃xC₄oD₁₂):₃C₂ = D₁₂:₁₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	24	4+	(C3xC4oD12):3C2	288,473
(C₃xC₄oD₁₂):₄C₂ = D₁₂.₂₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4	(C3xC4oD12):4C2	288,477
(C₃xC₄oD₁₂):₅C₂ = C₃xC₄oD₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	2	(C3xC4oD12):5C2	288,675
(C₃xC₄oD₁₂):₆C₂ = C₃xC₈:D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4	(C3xC4oD12):6C2	288,679
(C₃xC₄oD₁₂):₇C₂ = C₃xD₁₂:₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	24	4	(C3xC4oD12):7C2	288,703
(C₃xC₄oD₁₂):₈C₂ = C₃xQ₈.₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4	(C3xC4oD12):8C2	288,721
(C₃xC₄oD₁₂):₉C₂ = D₁₂.₃₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4	(C3xC4oD12):9C2	288,945
(C₃xC₄oD₁₂):₁₀C₂ = D₁₂.₃₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4-	(C3xC4oD12):10C2	288,946
(C₃xC₄oD₁₂):₁₁C₂ = S₃xC₄oD₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4	(C3xC4oD12):11C2	288,953
(C₃xC₄oD₁₂):₁₂C₂ = D₁₂:₂₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	24	4	(C3xC4oD12):12C2	288,954
(C₃xC₄oD₁₂):₁₃C₂ = D₁₂:₂₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4	(C3xC4oD12):13C2	288,955
(C₃xC₄oD₁₂):₁₄C₂ = D₁₂:₂₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	24	4+	(C3xC4oD12):14C2	288,956
(C₃xC₄oD₁₂):₁₅C₂ = C₃xD₄:₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	24	4	(C3xC4oD12):15C2	288,994
(C₃xC₄oD₁₂):₁₆C₂ = C₃xQ₈.₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4	(C3xC4oD12):16C2	288,997
(C₃xC₄oD₁₂):₁₇C₂ = C₃xS₃xC₄oD₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4	(C3xC4oD12):17C2	288,998
(C₃xC₄oD₁₂):₁₈C₂ = C₃xD₄oD₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4	(C3xC4oD12):18C2	288,999
(C₃xC₄oD₁₂):₁₉C₂ = C₃xQ₈oD₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4	(C3xC4oD12):19C2	288,1000

Non-split extensions G=N.Q with N=C₃xC₄oD₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₄oD₁₂).₁C₂ = D₁₂:₄Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	24	4	(C3xC4oD12).1C2	288,216
(C₃xC₄oD₁₂).₂C₂ = D₁₂:₂Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4	(C3xC4oD12).2C2	288,217
(C₃xC₄oD₁₂).₃C₂ = C₃xC₄²:₄S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	24	2	(C3xC4oD12).3C2	288,239
(C₃xC₄oD₁₂).₄C₂ = C₃xD₁₂:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4	(C3xC4oD12).4C2	288,259
(C₃xC₄oD₁₂).₅C₂ = D₁₂.₂Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4	(C3xC4oD12).5C2	288,462
(C₃xC₄oD₁₂).₆C₂ = D₁₂.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4	(C3xC4oD12).6C2	288,463
(C₃xC₄oD₁₂).₇C₂ = D₁₂.₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4	(C3xC4oD12).7C2	288,475
(C₃xC₄oD₁₂).₈C₂ = D₁₂.₂₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4-	(C3xC4oD12).8C2	288,479
(C₃xC₄oD₁₂).₉C₂ = C₃xD₁₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4	(C3xC4oD12).9C2	288,678
(C₃xC₄oD₁₂).₁₀C₂ = C₃xC₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4	(C3xC4oD12).10C2	288,680
(C₃xC₄oD₁₂).₁₁C₂ = C₃xQ₈.₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄oD₁₂	48	4	(C3xC4oD12).11C2	288,713
(C₃xC₄oD₁₂).₁₂C₂ = C₃xC₈oD₁₂	φ: trivial image	48	2	(C3xC4oD12).12C2	288,672

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