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Extensions 1→N→G→Q→1 with N=C3×C4○D4 and Q=C6

Direct product G=N×Q with N=C3×C4○D4 and Q=C6
dρLabelID
C4○D4×C3×C6144C4oD4xC3xC6288,1021

Semidirect products G=N:Q with N=C3×C4○D4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C3×C4○D4)⋊1C6 = S3×C4.A4φ: C6/C1 → C6 ⊆ Out C3×C4○D4484(C3xC4oD4):1C6288,925
(C3×C4○D4)⋊2C6 = D12.A4φ: C6/C1 → C6 ⊆ Out C3×C4○D4484-(C3xC4oD4):2C6288,926
(C3×C4○D4)⋊3C6 = C3×D4.A4φ: C6/C1 → C6 ⊆ Out C3×C4○D4484(C3xC4oD4):3C6288,985
(C3×C4○D4)⋊4C6 = C6×C4.A4φ: C6/C2 → C3 ⊆ Out C3×C4○D496(C3xC4oD4):4C6288,983
(C3×C4○D4)⋊5C6 = C3×D4⋊D6φ: C6/C3 → C2 ⊆ Out C3×C4○D4484(C3xC4oD4):5C6288,720
(C3×C4○D4)⋊6C6 = C3×Q8.13D6φ: C6/C3 → C2 ⊆ Out C3×C4○D4484(C3xC4oD4):6C6288,721
(C3×C4○D4)⋊7C6 = C3×S3×C4○D4φ: C6/C3 → C2 ⊆ Out C3×C4○D4484(C3xC4oD4):7C6288,998
(C3×C4○D4)⋊8C6 = C3×D4○D12φ: C6/C3 → C2 ⊆ Out C3×C4○D4484(C3xC4oD4):8C6288,999
(C3×C4○D4)⋊9C6 = C3×Q8○D12φ: C6/C3 → C2 ⊆ Out C3×C4○D4484(C3xC4oD4):9C6288,1000
(C3×C4○D4)⋊10C6 = C32×C4○D8φ: C6/C3 → C2 ⊆ Out C3×C4○D4144(C3xC4oD4):10C6288,832
(C3×C4○D4)⋊11C6 = C32×C8⋊C22φ: C6/C3 → C2 ⊆ Out C3×C4○D472(C3xC4oD4):11C6288,833
(C3×C4○D4)⋊12C6 = C32×2+ 1+4φ: C6/C3 → C2 ⊆ Out C3×C4○D472(C3xC4oD4):12C6288,1022
(C3×C4○D4)⋊13C6 = C32×2- 1+4φ: C6/C3 → C2 ⊆ Out C3×C4○D4144(C3xC4oD4):13C6288,1023

Non-split extensions G=N.Q with N=C3×C4○D4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C3×C4○D4).1C6 = SL2(𝔽3).Dic3φ: C6/C1 → C6 ⊆ Out C3×C4○D4964(C3xC4oD4).1C6288,410
(C3×C4○D4).2C6 = Dic6.A4φ: C6/C1 → C6 ⊆ Out C3×C4○D4724+(C3xC4oD4).2C6288,924
(C3×C4○D4).3C6 = 2+ 1+4⋊C9φ: C6/C1 → C6 ⊆ Out C3×C4○D4724(C3xC4oD4).3C6288,348
(C3×C4○D4).4C6 = 2- 1+4⋊C9φ: C6/C1 → C6 ⊆ Out C3×C4○D41444(C3xC4oD4).4C6288,349
(C3×C4○D4).5C6 = C3×Q8.A4φ: C6/C1 → C6 ⊆ Out C3×C4○D4724(C3xC4oD4).5C6288,984
(C3×C4○D4).6C6 = Q8.C36φ: C6/C2 → C3 ⊆ Out C3×C4○D41442(C3xC4oD4).6C6288,77
(C3×C4○D4).7C6 = C2×Q8.C18φ: C6/C2 → C3 ⊆ Out C3×C4○D4144(C3xC4oD4).7C6288,347
(C3×C4○D4).8C6 = C3×C8.A4φ: C6/C2 → C3 ⊆ Out C3×C4○D4962(C3xC4oD4).8C6288,638
(C3×C4○D4).9C6 = C3×Q8⋊3Dic3φ: C6/C3 → C2 ⊆ Out C3×C4○D4484(C3xC4oD4).9C6288,271
(C3×C4○D4).10C6 = C3×D4.Dic3φ: C6/C3 → C2 ⊆ Out C3×C4○D4484(C3xC4oD4).10C6288,719
(C3×C4○D4).11C6 = C3×Q8.14D6φ: C6/C3 → C2 ⊆ Out C3×C4○D4484(C3xC4oD4).11C6288,722
(C3×C4○D4).12C6 = C9×C4≀C2φ: C6/C3 → C2 ⊆ Out C3×C4○D4722(C3xC4oD4).12C6288,54
(C3×C4○D4).13C6 = C9×C4○D8φ: C6/C3 → C2 ⊆ Out C3×C4○D41442(C3xC4oD4).13C6288,185
(C3×C4○D4).14C6 = C9×C8⋊C22φ: C6/C3 → C2 ⊆ Out C3×C4○D4724(C3xC4oD4).14C6288,186
(C3×C4○D4).15C6 = C9×C8.C22φ: C6/C3 → C2 ⊆ Out C3×C4○D41444(C3xC4oD4).15C6288,187
(C3×C4○D4).16C6 = C32×C4≀C2φ: C6/C3 → C2 ⊆ Out C3×C4○D472(C3xC4oD4).16C6288,322
(C3×C4○D4).17C6 = C9×2+ 1+4φ: C6/C3 → C2 ⊆ Out C3×C4○D4724(C3xC4oD4).17C6288,371
(C3×C4○D4).18C6 = C9×2- 1+4φ: C6/C3 → C2 ⊆ Out C3×C4○D41444(C3xC4oD4).18C6288,372
(C3×C4○D4).19C6 = C32×C8.C22φ: C6/C3 → C2 ⊆ Out C3×C4○D4144(C3xC4oD4).19C6288,834
(C3×C4○D4).20C6 = C9×C8○D4φ: trivial image1442(C3xC4oD4).20C6288,181
(C3×C4○D4).21C6 = C4○D4×C18φ: trivial image144(C3xC4oD4).21C6288,370
(C3×C4○D4).22C6 = C32×C8○D4φ: trivial image144(C3xC4oD4).22C6288,828

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