Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=C₂xC₁₂

Direct product G=NxQ with N=C₂xC₆ and Q=C₂xC₁₂

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

Semidirect products G=N:Q with N=C₂xC₆ and Q=C₂xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆):₁(C₂xC₁₂) = C₄xS₃xA₄	φ: C₂xC₁₂/C₄ → C₆ ⊆ Aut C₂xC₆	36	6	(C2xC6):1(C2xC12)	288,919
(C₂xC₆):₂(C₂xC₁₂) = C₂xDic₃xA₄	φ: C₂xC₁₂/C₂² → C₆ ⊆ Aut C₂xC₆	72		(C2xC6):2(C2xC12)	288,927
(C₂xC₆):₃(C₂xC₁₂) = C₃xS₃xC₂²:C₄	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₂xC₆	48		(C2xC6):3(C2xC12)	288,651
(C₂xC₆):₄(C₂xC₁₂) = C₃xDic₃:₄D₄	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₂xC₆	48		(C2xC6):4(C2xC12)	288,652
(C₂xC₆):₅(C₂xC₁₂) = C₃xD₄xDic₃	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₂xC₆	48		(C2xC6):5(C2xC12)	288,705
(C₂xC₆):₆(C₂xC₁₂) = A₄xC₂xC₁₂	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Aut C₂xC₆	72		(C2xC6):6(C2xC12)	288,979
(C₂xC₆):₇(C₂xC₁₂) = D₄xC₃xC₁₂	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6):7(C2xC12)	288,815
(C₂xC₆):₈(C₂xC₁₂) = C₁₂xC₃:D₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6):8(C2xC12)	288,699
(C₂xC₆):₉(C₂xC₁₂) = S₃xC₂²xC₁₂	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6):9(C2xC12)	288,989
(C₂xC₆):₁₀(C₂xC₁₂) = C₂²:C₄xC₃xC₆	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6):10(C2xC12)	288,812
(C₂xC₆):₁₁(C₂xC₁₂) = C₆xC₆.D₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6):11(C2xC12)	288,723
(C₂xC₆):₁₂(C₂xC₁₂) = Dic₃xC₂²xC₆	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6):12(C2xC12)	288,1001

Non-split extensions G=N.Q with N=C₂xC₆ and Q=C₂xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆).₁(C₂xC₁₂) = C₃xC₂³.₆D₆	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₂xC₆	24	4	(C2xC6).1(C2xC12)	288,240
(C₂xC₆).₂(C₂xC₁₂) = C₃xC₁₂.₄₆D₄	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₂xC₆	48	4	(C2xC6).2(C2xC12)	288,257
(C₂xC₆).₃(C₂xC₁₂) = C₃xC₁₂.₄₇D₄	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₂xC₆	48	4	(C2xC6).3(C2xC12)	288,258
(C₂xC₆).₄(C₂xC₁₂) = C₃xC₂³.₁₆D₆	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₂xC₆	48		(C2xC6).4(C2xC12)	288,648
(C₂xC₆).₅(C₂xC₁₂) = C₃xS₃xM₄(2)	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₂xC₆	48	4	(C2xC6).5(C2xC12)	288,677
(C₂xC₆).₆(C₂xC₁₂) = C₃xD₁₂.C₄	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₂xC₆	48	4	(C2xC6).6(C2xC12)	288,678
(C₂xC₆).₇(C₂xC₁₂) = C₃xD₄.Dic₃	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₂xC₆	48	4	(C2xC6).7(C2xC12)	288,719
(C₂xC₆).₈(C₂xC₁₂) = C₂xC₄xC₃.A₄	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Aut C₂xC₆	72		(C2xC6).8(C2xC12)	288,343
(C₂xC₆).₉(C₂xC₁₂) = D₄xC₃₆	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).9(C2xC12)	288,168
(C₂xC₆).₁₀(C₂xC₁₂) = C₉xC₈oD₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₂xC₆	144	2	(C2xC6).10(C2xC12)	288,181
(C₂xC₆).₁₁(C₂xC₁₂) = C₃²xC₈oD₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).11(C2xC12)	288,828
(C₂xC₆).₁₂(C₂xC₁₂) = Dic₃xC₂₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).12(C2xC12)	288,247
(C₂xC₆).₁₃(C₂xC₁₂) = C₃xDic₃:C₈	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).13(C2xC12)	288,248
(C₂xC₆).₁₄(C₂xC₁₂) = C₃xC₂₄:C₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).14(C2xC12)	288,249
(C₂xC₆).₁₅(C₂xC₁₂) = C₃xD₆:C₈	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).15(C2xC12)	288,254
(C₂xC₆).₁₆(C₂xC₁₂) = C₃xC₆.C₄²	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).16(C2xC12)	288,265
(C₂xC₆).₁₇(C₂xC₁₂) = S₃xC₂xC₂₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).17(C2xC12)	288,670
(C₂xC₆).₁₈(C₂xC₁₂) = C₆xC₈:S₃	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).18(C2xC12)	288,671
(C₂xC₆).₁₉(C₂xC₁₂) = C₃xC₈oD₁₂	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₂xC₆	48	2	(C2xC6).19(C2xC12)	288,672
(C₂xC₆).₂₀(C₂xC₁₂) = Dic₃xC₂xC₁₂	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).20(C2xC12)	288,693
(C₂xC₆).₂₁(C₂xC₁₂) = C₆xDic₃:C₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).21(C2xC12)	288,694
(C₂xC₆).₂₂(C₂xC₁₂) = C₆xD₆:C₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).22(C2xC12)	288,698
(C₂xC₆).₂₃(C₂xC₁₂) = C₉xC₂³:C₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	72	4	(C2xC6).23(C2xC12)	288,49
(C₂xC₆).₂₄(C₂xC₁₂) = C₉xC₄.D₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	72	4	(C2xC6).24(C2xC12)	288,50
(C₂xC₆).₂₅(C₂xC₁₂) = C₉xC₄.₁₀D₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	144	4	(C2xC6).25(C2xC12)	288,51
(C₂xC₆).₂₆(C₂xC₁₂) = C₂²:C₄xC₁₈	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).26(C2xC12)	288,165
(C₂xC₆).₂₇(C₂xC₁₂) = C₉xC₄²:C₂	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).27(C2xC12)	288,167
(C₂xC₆).₂₈(C₂xC₁₂) = M₄(2)xC₁₈	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).28(C2xC12)	288,180
(C₂xC₆).₂₉(C₂xC₁₂) = C₃²xC₂³:C₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).29(C2xC12)	288,317
(C₂xC₆).₃₀(C₂xC₁₂) = C₃²xC₄.D₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).30(C2xC12)	288,318
(C₂xC₆).₃₁(C₂xC₁₂) = C₃²xC₄.₁₀D₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).31(C2xC12)	288,319
(C₂xC₆).₃₂(C₂xC₁₂) = C₃²xC₄²:C₂	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).32(C2xC12)	288,814
(C₂xC₆).₃₃(C₂xC₁₂) = M₄(2)xC₃xC₆	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).33(C2xC12)	288,827
(C₂xC₆).₃₄(C₂xC₁₂) = C₁₂xC₃:C₈	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).34(C2xC12)	288,236
(C₂xC₆).₃₅(C₂xC₁₂) = C₃xC₄².S₃	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).35(C2xC12)	288,237
(C₂xC₆).₃₆(C₂xC₁₂) = C₃xC₁₂:C₈	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).36(C2xC12)	288,238
(C₂xC₆).₃₇(C₂xC₁₂) = C₃xC₁₂.₅₅D₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).37(C2xC12)	288,264
(C₂xC₆).₃₈(C₂xC₁₂) = C₃xC₁₂.D₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	24	4	(C2xC6).38(C2xC12)	288,267
(C₂xC₆).₃₉(C₂xC₁₂) = C₃xC₂³.₇D₆	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	24	4	(C2xC6).39(C2xC12)	288,268
(C₂xC₆).₄₀(C₂xC₁₂) = C₃xC₁₂.₁₀D₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	48	4	(C2xC6).40(C2xC12)	288,270
(C₂xC₆).₄₁(C₂xC₁₂) = C₂xC₆xC₃:C₈	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).41(C2xC12)	288,691
(C₂xC₆).₄₂(C₂xC₁₂) = C₆xC₄.Dic₃	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).42(C2xC12)	288,692
(C₂xC₆).₄₃(C₂xC₁₂) = C₆xC₄:Dic₃	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).43(C2xC12)	288,696
(C₂xC₆).₄₄(C₂xC₁₂) = C₃xC₂³.₂₆D₆	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).44(C2xC12)	288,697
(C₂xC₆).₄₅(C₂xC₁₂) = C₉xC₂.C₄²	central extension (φ=1)	288		(C2xC6).45(C2xC12)	288,45
(C₂xC₆).₄₆(C₂xC₁₂) = C₉xC₈:C₄	central extension (φ=1)	288		(C2xC6).46(C2xC12)	288,47
(C₂xC₆).₄₇(C₂xC₁₂) = C₉xC₂²:C₈	central extension (φ=1)	144		(C2xC6).47(C2xC12)	288,48
(C₂xC₆).₄₈(C₂xC₁₂) = C₉xC₄:C₈	central extension (φ=1)	288		(C2xC6).48(C2xC12)	288,55
(C₂xC₆).₄₉(C₂xC₁₂) = C₄:C₄xC₁₈	central extension (φ=1)	288		(C2xC6).49(C2xC12)	288,166
(C₂xC₆).₅₀(C₂xC₁₂) = C₃²xC₂.C₄²	central extension (φ=1)	288		(C2xC6).50(C2xC12)	288,313
(C₂xC₆).₅₁(C₂xC₁₂) = C₃²xC₈:C₄	central extension (φ=1)	288		(C2xC6).51(C2xC12)	288,315
(C₂xC₆).₅₂(C₂xC₁₂) = C₃²xC₂²:C₈	central extension (φ=1)	144		(C2xC6).52(C2xC12)	288,316
(C₂xC₆).₅₃(C₂xC₁₂) = C₃²xC₄:C₈	central extension (φ=1)	288		(C2xC6).53(C2xC12)	288,323
(C₂xC₆).₅₄(C₂xC₁₂) = C₄:C₄xC₃xC₆	central extension (φ=1)	288		(C2xC6).54(C2xC12)	288,813

Extensions 1→N→G→Q→1 with N=C2xC6 and Q=C2xC12

Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=C₂xC₁₂