Extensions 1→N→G→Q→1 with N=C₃²xC₄:C₄ and Q=C₂

Direct product G=NxQ with N=C₃²xC₄:C₄ and Q=C₂

		d	ρ	Label	ID
C₄:C₄xC₃xC₆		288		C4:C4xC3xC6	288,813

Semidirect products G=N:Q with N=C₃²xC₄:C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₃²xC₄:C₄):₁C₂ = C₃xC₆.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	96	(C3^2xC4:C4):1C2	288,243
(C₃²xC₄:C₄):₂C₂ = C₆².₁₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	144	(C3^2xC4:C4):2C2	288,284
(C₃²xC₄:C₄):₃C₂ = C₃xS₃xC₄:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	96	(C3^2xC4:C4):3C2	288,662
(C₃²xC₄:C₄):₄C₂ = C₃xC₄:C₄:₇S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	96	(C3^2xC4:C4):4C2	288,663
(C₃²xC₄:C₄):₅C₂ = C₃xDic₃:₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	96	(C3^2xC4:C4):5C2	288,664
(C₃²xC₄:C₄):₆C₂ = C₃xD₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	96	(C3^2xC4:C4):6C2	288,665
(C₃²xC₄:C₄):₇C₂ = C₃xC₁₂:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	96	(C3^2xC4:C4):7C2	288,666
(C₃²xC₄:C₄):₈C₂ = C₃xD₆:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	96	(C3^2xC4:C4):8C2	288,667
(C₃²xC₄:C₄):₉C₂ = C₃xC₄.D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	96	(C3^2xC4:C4):9C2	288,668
(C₃²xC₄:C₄):₁₀C₂ = C₃xC₄:C₄:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	96	(C3^2xC4:C4):10C2	288,669
(C₃²xC₄:C₄):₁₁C₂ = C₄:C₄xC₃:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	144	(C3^2xC4:C4):11C2	288,748
(C₃²xC₄:C₄):₁₂C₂ = C₆².₂₃₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	144	(C3^2xC4:C4):12C2	288,749
(C₃²xC₄:C₄):₁₃C₂ = C₆².₂₃₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	144	(C3^2xC4:C4):13C2	288,750
(C₃²xC₄:C₄):₁₄C₂ = C₆².₂₃₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	144	(C3^2xC4:C4):14C2	288,751
(C₃²xC₄:C₄):₁₅C₂ = C₁₂:₃D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	144	(C3^2xC4:C4):15C2	288,752
(C₃²xC₄:C₄):₁₆C₂ = C₆².₂₄₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	144	(C3^2xC4:C4):16C2	288,753
(C₃²xC₄:C₄):₁₇C₂ = C₁₂.₃₁D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	144	(C3^2xC4:C4):17C2	288,754
(C₃²xC₄:C₄):₁₈C₂ = C₆².₂₄₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	144	(C3^2xC4:C4):18C2	288,755
(C₃²xC₄:C₄):₁₉C₂ = C₃²xD₄:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	144	(C3^2xC4:C4):19C2	288,320
(C₃²xC₄:C₄):₂₀C₂ = C₃²xC₄:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	144	(C3^2xC4:C4):20C2	288,818
(C₃²xC₄:C₄):₂₁C₂ = C₃²xC₂²:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	144	(C3^2xC4:C4):21C2	288,819
(C₃²xC₄:C₄):₂₂C₂ = C₃²xC₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	144	(C3^2xC4:C4):22C2	288,820
(C₃²xC₄:C₄):₂₃C₂ = C₃²xC₄²:₂C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	144	(C3^2xC4:C4):23C2	288,823
(C₃²xC₄:C₄):₂₄C₂ = C₃²xC₄²:C₂	φ: trivial image	144	(C3^2xC4:C4):24C2	288,814
(C₃²xC₄:C₄):₂₅C₂ = D₄xC₃xC₁₂	φ: trivial image	144	(C3^2xC4:C4):25C2	288,815

Non-split extensions G=N.Q with N=C₃²xC₄:C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₃²xC₄:C₄).₁C₂ = C₃xC₆.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	96	(C3^2xC4:C4).1C2	288,241
(C₃²xC₄:C₄).₂C₂ = C₃xC₁₂.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	96	(C3^2xC4:C4).2C2	288,242
(C₃²xC₄:C₄).₃C₂ = C₃xC₆.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	96	(C3^2xC4:C4).3C2	288,244
(C₃²xC₄:C₄).₄C₂ = C₁₂.₉Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	288	(C3^2xC4:C4).4C2	288,282
(C₃²xC₄:C₄).₅C₂ = C₁₂.₁₀Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	288	(C3^2xC4:C4).5C2	288,283
(C₃²xC₄:C₄).₆C₂ = C₆².₁₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	288	(C3^2xC4:C4).6C2	288,285
(C₃²xC₄:C₄).₇C₂ = C₃xDic₆:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	96	(C3^2xC4:C4).7C2	288,658
(C₃²xC₄:C₄).₈C₂ = C₃xC₁₂:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	96	(C3^2xC4:C4).8C2	288,659
(C₃²xC₄:C₄).₉C₂ = C₃xDic₃.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	96	(C3^2xC4:C4).9C2	288,660
(C₃²xC₄:C₄).₁₀C₂ = C₃xC₄.Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	96	(C3^2xC4:C4).10C2	288,661
(C₃²xC₄:C₄).₁₁C₂ = C₆².₂₃₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	288	(C3^2xC4:C4).11C2	288,744
(C₃²xC₄:C₄).₁₂C₂ = C₁₂:₂Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	288	(C3^2xC4:C4).12C2	288,745
(C₃²xC₄:C₄).₁₃C₂ = C₆².₂₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	288	(C3^2xC4:C4).13C2	288,746
(C₃²xC₄:C₄).₁₄C₂ = C₆².₂₃₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	288	(C3^2xC4:C4).14C2	288,747
(C₃²xC₄:C₄).₁₅C₂ = C₃²xQ₈:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	288	(C3^2xC4:C4).15C2	288,321
(C₃²xC₄:C₄).₁₆C₂ = C₃²xC₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	288	(C3^2xC4:C4).16C2	288,324
(C₃²xC₄:C₄).₁₇C₂ = C₃²xC₂.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	288	(C3^2xC4:C4).17C2	288,325
(C₃²xC₄:C₄).₁₈C₂ = C₃²xC₄².C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	288	(C3^2xC4:C4).18C2	288,822
(C₃²xC₄:C₄).₁₉C₂ = C₃²xC₄:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²xC₄:C₄	288	(C3^2xC4:C4).19C2	288,825
(C₃²xC₄:C₄).₂₀C₂ = Q₈xC₃xC₁₂	φ: trivial image	288	(C3^2xC4:C4).20C2	288,816

Extensions 1→N→G→Q→1 with N=C32xC4:C4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₃²xC₄:C₄ and Q=C₂