Extensions 1→N→G→Q→1 with N=D₄xC₃xC₆ and Q=C₂

Direct product G=NxQ with N=D₄xC₃xC₆ and Q=C₂

		d	ρ	Label	ID
D₄xC₆²		144		D4xC6^2	288,1019

Semidirect products G=N:Q with N=D₄xC₃xC₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₃xC₆):₁C₂ = C₆xD₄:S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	48		(D4xC3xC6):1C2	288,702
(D₄xC₃xC₆):₂C₂ = C₃xD₁₂:₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	24	4	(D4xC3xC6):2C2	288,703
(D₄xC₃xC₆):₃C₂ = C₃xD₆:₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	48		(D4xC3xC6):3C2	288,709
(D₄xC₃xC₆):₄C₂ = C₃xC₁₂:₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	48		(D4xC3xC6):4C2	288,711
(D₄xC₃xC₆):₅C₂ = C₂xC₃²:₇D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	144		(D4xC3xC6):5C2	288,788
(D₄xC₃xC₆):₆C₂ = C₆².₁₃₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	72		(D4xC3xC6):6C2	288,789
(D₄xC₃xC₆):₇C₂ = C₆².₂₅₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	144		(D4xC3xC6):7C2	288,795
(D₄xC₃xC₆):₈C₂ = C₆².₂₅₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	144		(D4xC3xC6):8C2	288,797
(D₄xC₃xC₆):₉C₂ = S₃xC₆xD₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	48		(D4xC3xC6):9C2	288,992
(D₄xC₃xC₆):₁₀C₂ = C₆xD₄:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	48		(D4xC3xC6):10C2	288,993
(D₄xC₃xC₆):₁₁C₂ = C₃xD₄:₆D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	24	4	(D4xC3xC6):11C2	288,994
(D₄xC₃xC₆):₁₂C₂ = C₂xD₄xC₃:S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	72		(D4xC3xC6):12C2	288,1007
(D₄xC₃xC₆):₁₃C₂ = C₂xC₁₂.D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	144		(D4xC3xC6):13C2	288,1008
(D₄xC₃xC₆):₁₄C₂ = C₃²:₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	72		(D4xC3xC6):14C2	288,1009
(D₄xC₃xC₆):₁₅C₂ = C₃xC₂³:₂D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	48		(D4xC3xC6):15C2	288,708
(D₄xC₃xC₆):₁₆C₂ = C₃xC₂³.₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	48		(D4xC3xC6):16C2	288,710
(D₄xC₃xC₆):₁₇C₂ = C₆²:₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	72		(D4xC3xC6):17C2	288,794
(D₄xC₃xC₆):₁₈C₂ = C₆²:₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	144		(D4xC3xC6):18C2	288,796
(D₄xC₃xC₆):₁₉C₂ = C₃²xC₂²wrC₂	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	72		(D4xC3xC6):19C2	288,817
(D₄xC₃xC₆):₂₀C₂ = C₃²xC₄:D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	144		(D4xC3xC6):20C2	288,818
(D₄xC₃xC₆):₂₁C₂ = C₃²xC₄:₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	144		(D4xC3xC6):21C2	288,824
(D₄xC₃xC₆):₂₂C₂ = D₈xC₃xC₆	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	144		(D4xC3xC6):22C2	288,829
(D₄xC₃xC₆):₂₃C₂ = C₃²xC₈:C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	72		(D4xC3xC6):23C2	288,833
(D₄xC₃xC₆):₂₄C₂ = C₃²x2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	72		(D4xC3xC6):24C2	288,1022
(D₄xC₃xC₆):₂₅C₂ = C₄oD₄xC₃xC₆	φ: trivial image	144		(D4xC3xC6):25C2	288,1021

Non-split extensions G=N.Q with N=D₄xC₃xC₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₃xC₆).₁C₂ = C₃xD₄:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	48		(D4xC3xC6).1C2	288,266
(D₄xC₃xC₆).₂C₂ = C₃xC₁₂.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	24	4	(D4xC3xC6).2C2	288,267
(D₄xC₃xC₆).₃C₂ = C₆².₁₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	144		(D4xC3xC6).3C2	288,307
(D₄xC₃xC₆).₄C₂ = (C₆xD₄).S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	72		(D4xC3xC6).4C2	288,308
(D₄xC₃xC₆).₅C₂ = C₆xD₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	48		(D4xC3xC6).5C2	288,704
(D₄xC₃xC₆).₆C₂ = C₃xD₄xDic₃	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	48		(D4xC3xC6).6C2	288,705
(D₄xC₃xC₆).₇C₂ = C₃xC₂³.₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	48		(D4xC3xC6).7C2	288,707
(D₄xC₃xC₆).₈C₂ = C₂xC₃²:₉SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	144		(D4xC3xC6).8C2	288,790
(D₄xC₃xC₆).₉C₂ = D₄xC₃:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	144		(D4xC3xC6).9C2	288,791
(D₄xC₃xC₆).₁₀C₂ = C₆².₂₅₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	144		(D4xC3xC6).10C2	288,793
(D₄xC₃xC₆).₁₁C₂ = C₃xC₂³.₇D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	24	4	(D4xC3xC6).11C2	288,268
(D₄xC₃xC₆).₁₂C₂ = C₆².₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	72		(D4xC3xC6).12C2	288,309
(D₄xC₃xC₆).₁₃C₂ = C₃²xC₂³:C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	72		(D4xC3xC6).13C2	288,317
(D₄xC₃xC₆).₁₄C₂ = C₃²xC₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	72		(D4xC3xC6).14C2	288,318
(D₄xC₃xC₆).₁₅C₂ = C₃²xD₄:C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	144		(D4xC3xC6).15C2	288,320
(D₄xC₃xC₆).₁₆C₂ = C₃xC₂³.₂₃D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	48		(D4xC3xC6).16C2	288,706
(D₄xC₃xC₆).₁₇C₂ = C₆².₇₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	144		(D4xC3xC6).17C2	288,792
(D₄xC₃xC₆).₁₈C₂ = C₃²xC₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	144		(D4xC3xC6).18C2	288,820
(D₄xC₃xC₆).₁₉C₂ = C₃²xC₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	144		(D4xC3xC6).19C2	288,821
(D₄xC₃xC₆).₂₀C₂ = SD₁₆xC₃xC₆	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₃xC₆	144		(D4xC3xC6).20C2	288,830
(D₄xC₃xC₆).₂₁C₂ = D₄xC₃xC₁₂	φ: trivial image	144		(D4xC3xC6).21C2	288,815

Extensions 1→N→G→Q→1 with N=D4xC3xC6 and Q=C2

Extensions 1→N→G→Q→1 with N=D₄xC₃xC₆ and Q=C₂