Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=C₃xD₄

Direct product G=NxQ with N=C₂xC₆ and Q=C₃xD₄

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

Semidirect products G=N:Q with N=C₂xC₆ and Q=C₃xD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆):₁(C₃xD₄) = A₄xD₁₂	φ: C₃xD₄/C₄ → C₆ ⊆ Aut C₂xC₆	36	6+	(C2xC6):1(C3xD4)	288,920
(C₂xC₆):₂(C₃xD₄) = A₄xC₃:D₄	φ: C₃xD₄/C₂² → C₆ ⊆ Aut C₂xC₆	36	6	(C2xC6):2(C3xD4)	288,928
(C₂xC₆):₃(C₃xD₄) = C₃xD₆:D₄	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₂xC₆	48		(C2xC6):3(C3xD4)	288,653
(C₂xC₆):₄(C₃xD₄) = C₃xC₂³:₂D₆	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₂xC₆	48		(C2xC6):4(C3xD4)	288,708
(C₂xC₆):₅(C₃xD₄) = C₃xC₂³.₁₄D₆	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₂xC₆	48		(C2xC6):5(C3xD4)	288,710
(C₂xC₆):₆(C₃xD₄) = C₃xD₄xA₄	φ: C₃xD₄/D₄ → C₃ ⊆ Aut C₂xC₆	36	6	(C2xC6):6(C3xD4)	288,980
(C₂xC₆):₇(C₃xD₄) = C₃²xC₄:D₄	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6):7(C3xD4)	288,818
(C₂xC₆):₈(C₃xD₄) = C₃xC₁₂:₇D₄	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6):8(C3xD4)	288,701
(C₂xC₆):₉(C₃xD₄) = C₂xC₆xD₁₂	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6):9(C3xD4)	288,990
(C₂xC₆):₁₀(C₃xD₄) = C₃²xC₂²wrC₂	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6):10(C3xD4)	288,817
(C₂xC₆):₁₁(C₃xD₄) = C₃xC₂⁴:₄S₃	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	24		(C2xC6):11(C3xD4)	288,724
(C₂xC₆):₁₂(C₃xD₄) = C₂xC₆xC₃:D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6):12(C3xD4)	288,1002

Non-split extensions G=N.Q with N=C₂xC₆ and Q=C₃xD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆).₁(C₃xD₄) = C₃xC₂³.₆D₆	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₂xC₆	24	4	(C2xC6).1(C3xD4)	288,240
(C₂xC₆).₂(C₃xD₄) = C₃xD₁₂:C₄	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₂xC₆	48	4	(C2xC6).2(C3xD4)	288,259
(C₂xC₆).₃(C₃xD₄) = C₃xC₂³.₇D₆	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₂xC₆	24	4	(C2xC6).3(C3xD4)	288,268
(C₂xC₆).₄(C₃xD₄) = C₃xQ₈:₃Dic₃	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₂xC₆	48	4	(C2xC6).4(C3xD4)	288,271
(C₂xC₆).₅(C₃xD₄) = C₃xC₂³.₂₁D₆	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₂xC₆	48		(C2xC6).5(C3xD4)	288,657
(C₂xC₆).₆(C₃xD₄) = C₃xC₈:D₆	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₂xC₆	48	4	(C2xC6).6(C3xD4)	288,679
(C₂xC₆).₇(C₃xD₄) = C₃xC₈.D₆	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₂xC₆	48	4	(C2xC6).7(C3xD4)	288,680
(C₂xC₆).₈(C₃xD₄) = C₃xC₂³.₂₃D₆	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₂xC₆	48		(C2xC6).8(C3xD4)	288,706
(C₂xC₆).₉(C₃xD₄) = C₃xD₄:D₆	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₂xC₆	48	4	(C2xC6).9(C3xD4)	288,720
(C₂xC₆).₁₀(C₃xD₄) = C₃xQ₈.₁₃D₆	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₂xC₆	48	4	(C2xC6).10(C3xD4)	288,721
(C₂xC₆).₁₁(C₃xD₄) = C₃xQ₈.₁₄D₆	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₂xC₆	48	4	(C2xC6).11(C3xD4)	288,722
(C₂xC₆).₁₂(C₃xD₄) = D₄xC₃.A₄	φ: C₃xD₄/D₄ → C₃ ⊆ Aut C₂xC₆	36	6	(C2xC6).12(C3xD4)	288,344
(C₂xC₆).₁₃(C₃xD₄) = C₉xC₄:D₄	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).13(C3xD4)	288,171
(C₂xC₆).₁₄(C₃xD₄) = C₉xC₄oD₈	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₂xC₆	144	2	(C2xC6).14(C3xD4)	288,185
(C₂xC₆).₁₅(C₃xD₄) = C₃²xC₄oD₈	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).15(C3xD4)	288,832
(C₂xC₆).₁₆(C₃xD₄) = C₃xC₂.Dic₁₂	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).16(C3xD4)	288,250
(C₂xC₆).₁₇(C₃xD₄) = C₃xC₈:Dic₃	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).17(C3xD4)	288,251
(C₂xC₆).₁₈(C₃xD₄) = C₃xC₂₄:₁C₄	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).18(C3xD4)	288,252
(C₂xC₆).₁₉(C₃xD₄) = C₃xC₂.D₂₄	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).19(C3xD4)	288,255
(C₂xC₆).₂₀(C₃xD₄) = C₆xC₂₄:C₂	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).20(C3xD4)	288,673
(C₂xC₆).₂₁(C₃xD₄) = C₆xD₂₄	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).21(C3xD4)	288,674
(C₂xC₆).₂₂(C₃xD₄) = C₃xC₄oD₂₄	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₂xC₆	48	2	(C2xC6).22(C3xD4)	288,675
(C₂xC₆).₂₃(C₃xD₄) = C₆xDic₁₂	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).23(C3xD4)	288,676
(C₂xC₆).₂₄(C₃xD₄) = C₆xC₄:Dic₃	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).24(C3xD4)	288,696
(C₂xC₆).₂₅(C₃xD₄) = C₉xC₂³:C₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	72	4	(C2xC6).25(C3xD4)	288,49
(C₂xC₆).₂₆(C₃xD₄) = C₉xC₄wrC₂	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	72	2	(C2xC6).26(C3xD4)	288,54
(C₂xC₆).₂₇(C₃xD₄) = C₉xC₂²wrC₂	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).27(C3xD4)	288,170
(C₂xC₆).₂₈(C₃xD₄) = C₉xC₂².D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).28(C3xD4)	288,173
(C₂xC₆).₂₉(C₃xD₄) = C₉xC₈:C₂²	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	72	4	(C2xC6).29(C3xD4)	288,186
(C₂xC₆).₃₀(C₃xD₄) = C₉xC₈.C₂²	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	144	4	(C2xC6).30(C3xD4)	288,187
(C₂xC₆).₃₁(C₃xD₄) = C₃²xC₂³:C₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).31(C3xD4)	288,317
(C₂xC₆).₃₂(C₃xD₄) = C₃²xC₄wrC₂	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).32(C3xD4)	288,322
(C₂xC₆).₃₃(C₃xD₄) = C₃²xC₂².D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).33(C3xD4)	288,820
(C₂xC₆).₃₄(C₃xD₄) = C₃²xC₈:C₂²	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).34(C3xD4)	288,833
(C₂xC₆).₃₅(C₃xD₄) = C₃²xC₈.C₂²	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).35(C3xD4)	288,834
(C₂xC₆).₃₆(C₃xD₄) = C₃xC₄²:₄S₃	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	24	2	(C2xC6).36(C3xD4)	288,239
(C₂xC₆).₃₇(C₃xD₄) = C₃xC₆.Q₁₆	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).37(C3xD4)	288,241
(C₂xC₆).₃₈(C₃xD₄) = C₃xC₁₂.Q₈	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).38(C3xD4)	288,242
(C₂xC₆).₃₉(C₃xD₄) = C₃xC₆.D₈	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).39(C3xD4)	288,243
(C₂xC₆).₄₀(C₃xD₄) = C₃xC₆.SD₁₆	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).40(C3xD4)	288,244
(C₂xC₆).₄₁(C₃xD₄) = C₃xC₆.C₄²	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).41(C3xD4)	288,265
(C₂xC₆).₄₂(C₃xD₄) = C₃xD₄:Dic₃	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).42(C3xD4)	288,266
(C₂xC₆).₄₃(C₃xD₄) = C₃xQ₈:₂Dic₃	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).43(C3xD4)	288,269
(C₂xC₆).₄₄(C₃xD₄) = C₆xDic₃:C₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).44(C3xD4)	288,694
(C₂xC₆).₄₅(C₃xD₄) = C₆xD₆:C₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).45(C3xD4)	288,698
(C₂xC₆).₄₆(C₃xD₄) = C₃xC₂³.₂₈D₆	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).46(C3xD4)	288,700
(C₂xC₆).₄₇(C₃xD₄) = C₆xD₄:S₃	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).47(C3xD4)	288,702
(C₂xC₆).₄₈(C₃xD₄) = C₃xD₁₂:₆C₂²	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	24	4	(C2xC6).48(C3xD4)	288,703
(C₂xC₆).₄₉(C₃xD₄) = C₆xD₄.S₃	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).49(C3xD4)	288,704
(C₂xC₆).₅₀(C₃xD₄) = C₆xQ₈:₂S₃	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).50(C3xD4)	288,712
(C₂xC₆).₅₁(C₃xD₄) = C₃xQ₈.₁₁D₆	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	48	4	(C2xC6).51(C3xD4)	288,713
(C₂xC₆).₅₂(C₃xD₄) = C₆xC₃:Q₁₆	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	96		(C2xC6).52(C3xD4)	288,714
(C₂xC₆).₅₃(C₃xD₄) = C₆xC₆.D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).53(C3xD4)	288,723
(C₂xC₆).₅₄(C₃xD₄) = C₉xC₂.C₄²	central extension (φ=1)	288		(C2xC6).54(C3xD4)	288,45
(C₂xC₆).₅₅(C₃xD₄) = C₉xD₄:C₄	central extension (φ=1)	144		(C2xC6).55(C3xD4)	288,52
(C₂xC₆).₅₆(C₃xD₄) = C₉xQ₈:C₄	central extension (φ=1)	288		(C2xC6).56(C3xD4)	288,53
(C₂xC₆).₅₇(C₃xD₄) = C₉xC₄.Q₈	central extension (φ=1)	288		(C2xC6).57(C3xD4)	288,56
(C₂xC₆).₅₈(C₃xD₄) = C₉xC₂.D₈	central extension (φ=1)	288		(C2xC6).58(C3xD4)	288,57
(C₂xC₆).₅₉(C₃xD₄) = C₂²:C₄xC₁₈	central extension (φ=1)	144		(C2xC6).59(C3xD4)	288,165
(C₂xC₆).₆₀(C₃xD₄) = C₄:C₄xC₁₈	central extension (φ=1)	288		(C2xC6).60(C3xD4)	288,166
(C₂xC₆).₆₁(C₃xD₄) = D₈xC₁₈	central extension (φ=1)	144		(C2xC6).61(C3xD4)	288,182
(C₂xC₆).₆₂(C₃xD₄) = SD₁₆xC₁₈	central extension (φ=1)	144		(C2xC6).62(C3xD4)	288,183
(C₂xC₆).₆₃(C₃xD₄) = Q₁₆xC₁₈	central extension (φ=1)	288		(C2xC6).63(C3xD4)	288,184
(C₂xC₆).₆₄(C₃xD₄) = C₃²xC₂.C₄²	central extension (φ=1)	288		(C2xC6).64(C3xD4)	288,313
(C₂xC₆).₆₅(C₃xD₄) = C₃²xD₄:C₄	central extension (φ=1)	144		(C2xC6).65(C3xD4)	288,320
(C₂xC₆).₆₆(C₃xD₄) = C₃²xQ₈:C₄	central extension (φ=1)	288		(C2xC6).66(C3xD4)	288,321
(C₂xC₆).₆₇(C₃xD₄) = C₃²xC₄.Q₈	central extension (φ=1)	288		(C2xC6).67(C3xD4)	288,324
(C₂xC₆).₆₈(C₃xD₄) = C₃²xC₂.D₈	central extension (φ=1)	288		(C2xC6).68(C3xD4)	288,325
(C₂xC₆).₆₉(C₃xD₄) = D₄xC₂xC₁₈	central extension (φ=1)	144		(C2xC6).69(C3xD4)	288,368
(C₂xC₆).₇₀(C₃xD₄) = C₂²:C₄xC₃xC₆	central extension (φ=1)	144		(C2xC6).70(C3xD4)	288,812
(C₂xC₆).₇₁(C₃xD₄) = C₄:C₄xC₃xC₆	central extension (φ=1)	288		(C2xC6).71(C3xD4)	288,813
(C₂xC₆).₇₂(C₃xD₄) = D₈xC₃xC₆	central extension (φ=1)	144		(C2xC6).72(C3xD4)	288,829
(C₂xC₆).₇₃(C₃xD₄) = SD₁₆xC₃xC₆	central extension (φ=1)	144		(C2xC6).73(C3xD4)	288,830
(C₂xC₆).₇₄(C₃xD₄) = Q₁₆xC₃xC₆	central extension (φ=1)	288		(C2xC6).74(C3xD4)	288,831

Extensions 1→N→G→Q→1 with N=C2xC6 and Q=C3xD4

Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=C₃xD₄