Extensions 1→N→G→Q→1 with N=C₂²xC₁₂ and Q=C₆

Direct product G=NxQ with N=C₂²xC₁₂ and Q=C₆

		d	ρ	Label	ID
C₂²xC₆xC₁₂		288		C2^2xC6xC12	288,1018

Semidirect products G=N:Q with N=C₂²xC₁₂ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₁₂):₁C₆ = A₄xD₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₂²xC₁₂	36	6+	(C2^2xC12):1C6	288,920
(C₂²xC₁₂):₂C₆ = C₄xS₃xA₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂²xC₁₂	36	6	(C2^2xC12):2C6	288,919
(C₂²xC₁₂):₃C₆ = C₃xD₄xA₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂²xC₁₂	36	6	(C2^2xC12):3C6	288,980
(C₂²xC₁₂):₄C₆ = A₄xC₂xC₁₂	φ: C₆/C₂ → C₃ ⊆ Aut C₂²xC₁₂	72		(C2^2xC12):4C6	288,979
(C₂²xC₁₂):₅C₆ = C₆xD₆:C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	96		(C2^2xC12):5C6	288,698
(C₂²xC₁₂):₆C₆ = C₃xC₂³.₂₈D₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	48		(C2^2xC12):6C6	288,700
(C₂²xC₁₂):₇C₆ = C₂²:C₄xC₃xC₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	144		(C2^2xC12):7C6	288,812
(C₂²xC₁₂):₈C₆ = D₄xC₃xC₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	144		(C2^2xC12):8C6	288,815
(C₂²xC₁₂):₉C₆ = C₃²xC₂².D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	144		(C2^2xC12):9C6	288,820
(C₂²xC₁₂):₁₀C₆ = C₃xC₁₂:₇D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	48		(C2^2xC12):10C6	288,701
(C₂²xC₁₂):₁₁C₆ = C₂xC₆xD₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	96		(C2^2xC12):11C6	288,990
(C₂²xC₁₂):₁₂C₆ = C₆xC₄oD₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	48		(C2^2xC12):12C6	288,991
(C₂²xC₁₂):₁₃C₆ = C₁₂xC₃:D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	48		(C2^2xC12):13C6	288,699
(C₂²xC₁₂):₁₄C₆ = S₃xC₂²xC₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	96		(C2^2xC12):14C6	288,989
(C₂²xC₁₂):₁₅C₆ = C₃²xC₄:D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	144		(C2^2xC12):15C6	288,818
(C₂²xC₁₂):₁₆C₆ = D₄xC₆²	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	144		(C2^2xC12):16C6	288,1019
(C₂²xC₁₂):₁₇C₆ = C₄oD₄xC₃xC₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	144		(C2^2xC12):17C6	288,1021

Non-split extensions G=N.Q with N=C₂²xC₁₂ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₁₂).₁C₆ = A₄xDic₆	φ: C₆/C₁ → C₆ ⊆ Aut C₂²xC₁₂	72	6-	(C2^2xC12).1C6	288,918
(C₂²xC₁₂).₂C₆ = A₄xC₃:C₈	φ: C₆/C₁ → C₆ ⊆ Aut C₂²xC₁₂	72	6	(C2^2xC12).2C6	288,408
(C₂²xC₁₂).₃C₆ = D₄xC₃.A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂²xC₁₂	36	6	(C2^2xC12).3C6	288,344
(C₂²xC₁₂).₄C₆ = Q₈xC₃.A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂²xC₁₂	72	6	(C2^2xC12).4C6	288,346
(C₂²xC₁₂).₅C₆ = C₃xQ₈xA₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂²xC₁₂	72	6	(C2^2xC12).5C6	288,982
(C₂²xC₁₂).₆C₆ = C₈xC₃.A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂²xC₁₂	72	3	(C2^2xC12).6C6	288,76
(C₂²xC₁₂).₇C₆ = C₂xC₄xC₃.A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂²xC₁₂	72		(C2^2xC12).7C6	288,343
(C₂²xC₁₂).₈C₆ = A₄xC₂₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂²xC₁₂	72	3	(C2^2xC12).8C6	288,637
(C₂²xC₁₂).₉C₆ = C₉xC₂.C₄²	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	288		(C2^2xC12).9C6	288,45
(C₂²xC₁₂).₁₀C₆ = C₉xC₂²:C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	144		(C2^2xC12).10C6	288,48
(C₂²xC₁₂).₁₁C₆ = C₂²:C₄xC₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	144		(C2^2xC12).11C6	288,165
(C₂²xC₁₂).₁₂C₆ = C₄:C₄xC₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	288		(C2^2xC12).12C6	288,166
(C₂²xC₁₂).₁₃C₆ = D₄xC₃₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	144		(C2^2xC12).13C6	288,168
(C₂²xC₁₂).₁₄C₆ = C₉xC₂².D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	144		(C2^2xC12).14C6	288,173
(C₂²xC₁₂).₁₅C₆ = C₃xC₆.C₄²	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	96		(C2^2xC12).15C6	288,265
(C₂²xC₁₂).₁₆C₆ = C₃²xC₂.C₄²	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	288		(C2^2xC12).16C6	288,313
(C₂²xC₁₂).₁₇C₆ = C₃²xC₂²:C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	144		(C2^2xC12).17C6	288,316
(C₂²xC₁₂).₁₈C₆ = C₆xDic₃:C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	96		(C2^2xC12).18C6	288,694
(C₂²xC₁₂).₁₉C₆ = C₃xC₁₂.₄₈D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	48		(C2^2xC12).19C6	288,695
(C₂²xC₁₂).₂₀C₆ = C₆xC₄:Dic₃	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	96		(C2^2xC12).20C6	288,696
(C₂²xC₁₂).₂₁C₆ = C₂xC₆xDic₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	96		(C2^2xC12).21C6	288,988
(C₂²xC₁₂).₂₂C₆ = C₆xC₄.Dic₃	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	48		(C2^2xC12).22C6	288,692
(C₂²xC₁₂).₂₃C₆ = C₃xC₂³.₂₆D₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	48		(C2^2xC12).23C6	288,697
(C₂²xC₁₂).₂₄C₆ = C₃xC₁₂.₅₅D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	48		(C2^2xC12).24C6	288,264
(C₂²xC₁₂).₂₅C₆ = C₂xC₆xC₃:C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	96		(C2^2xC12).25C6	288,691
(C₂²xC₁₂).₂₆C₆ = Dic₃xC₂xC₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	96		(C2^2xC12).26C6	288,693
(C₂²xC₁₂).₂₇C₆ = C₉xC₄²:C₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	144		(C2^2xC12).27C6	288,167
(C₂²xC₁₂).₂₈C₆ = C₉xC₄:D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	144		(C2^2xC12).28C6	288,171
(C₂²xC₁₂).₂₉C₆ = C₉xC₂²:Q₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	144		(C2^2xC12).29C6	288,172
(C₂²xC₁₂).₃₀C₆ = M₄(2)xC₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	144		(C2^2xC12).30C6	288,180
(C₂²xC₁₂).₃₁C₆ = D₄xC₂xC₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	144		(C2^2xC12).31C6	288,368
(C₂²xC₁₂).₃₂C₆ = Q₈xC₂xC₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	288		(C2^2xC12).32C6	288,369
(C₂²xC₁₂).₃₃C₆ = C₄oD₄xC₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	144		(C2^2xC12).33C6	288,370
(C₂²xC₁₂).₃₄C₆ = C₄:C₄xC₃xC₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	288		(C2^2xC12).34C6	288,813
(C₂²xC₁₂).₃₅C₆ = C₃²xC₄²:C₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	144		(C2^2xC12).35C6	288,814
(C₂²xC₁₂).₃₆C₆ = C₃²xC₂²:Q₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	144		(C2^2xC12).36C6	288,819
(C₂²xC₁₂).₃₇C₆ = M₄(2)xC₃xC₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	144		(C2^2xC12).37C6	288,827
(C₂²xC₁₂).₃₈C₆ = Q₈xC₆²	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₂	288		(C2^2xC12).38C6	288,1020

Extensions 1→N→G→Q→1 with N=C22xC12 and Q=C6

Extensions 1→N→G→Q→1 with N=C₂²xC₁₂ and Q=C₆