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Extensions 1→N→G→Q→1 with N=C3×C8⋊C4 and Q=C2

Direct product G=N×Q with N=C3×C8⋊C4 and Q=C2
dρLabelID
C6×C8⋊C4192C6xC8:C4192,836

Semidirect products G=N:Q with N=C3×C8⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C8⋊C4)⋊1C2 = D24⋊4C4φ: C2/C1 → C2 ⊆ Out C3×C8⋊C4484(C3xC8:C4):1C2192,276
(C3×C8⋊C4)⋊2C2 = C42.16D6φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):2C2192,269
(C3×C8⋊C4)⋊3C2 = D24⋊C4φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):3C2192,270
(C3×C8⋊C4)⋊4C2 = C8⋊D12φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):4C2192,271
(C3×C8⋊C4)⋊5C2 = C8.D12φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):5C2192,274
(C3×C8⋊C4)⋊6C2 = C3×SD16⋊C4φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):6C2192,873
(C3×C8⋊C4)⋊7C2 = C3×D8⋊C4φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):7C2192,875
(C3×C8⋊C4)⋊8C2 = C3×C8.26D4φ: C2/C1 → C2 ⊆ Out C3×C8⋊C4484(C3xC8:C4):8C2192,877
(C3×C8⋊C4)⋊9C2 = C3×C8⋊3D4φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):9C2192,929
(C3×C8⋊C4)⋊10C2 = C3×C8.2D4φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):10C2192,930
(C3×C8⋊C4)⋊11C2 = S3×C8⋊C4φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):11C2192,263
(C3×C8⋊C4)⋊12C2 = C8⋊9D12φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):12C2192,265
(C3×C8⋊C4)⋊13C2 = Dic3⋊5M4(2)φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):13C2192,266
(C3×C8⋊C4)⋊14C2 = D6.4C42φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):14C2192,267
(C3×C8⋊C4)⋊15C2 = C42.D6φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):15C2192,23
(C3×C8⋊C4)⋊16C2 = C3×C42.C22φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):16C2192,135
(C3×C8⋊C4)⋊17C2 = C42.182D6φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):17C2192,264
(C3×C8⋊C4)⋊18C2 = C42.185D6φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):18C2192,268
(C3×C8⋊C4)⋊19C2 = C42.19D6φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):19C2192,272
(C3×C8⋊C4)⋊20C2 = C42.20D6φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):20C2192,273
(C3×C8⋊C4)⋊21C2 = C3×C42.6C4φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):21C2192,865
(C3×C8⋊C4)⋊22C2 = C3×C42.7C22φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):22C2192,866
(C3×C8⋊C4)⋊23C2 = C3×C8⋊9D4φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):23C2192,868
(C3×C8⋊C4)⋊24C2 = C3×C42.28C22φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):24C2192,922
(C3×C8⋊C4)⋊25C2 = C3×C42.29C22φ: C2/C1 → C2 ⊆ Out C3×C8⋊C496(C3xC8:C4):25C2192,923
(C3×C8⋊C4)⋊26C2 = C12×M4(2)φ: trivial image96(C3xC8:C4):26C2192,837
(C3×C8⋊C4)⋊27C2 = C3×C8○2M4(2)φ: trivial image96(C3xC8:C4):27C2192,838

Non-split extensions G=N.Q with N=C3×C8⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C8⋊C4).1C2 = C8⋊Dic6φ: C2/C1 → C2 ⊆ Out C3×C8⋊C4192(C3xC8:C4).1C2192,261
(C3×C8⋊C4).2C2 = Dic12⋊C4φ: C2/C1 → C2 ⊆ Out C3×C8⋊C4192(C3xC8:C4).2C2192,275
(C3×C8⋊C4).3C2 = C3×Q16⋊C4φ: C2/C1 → C2 ⊆ Out C3×C8⋊C4192(C3xC8:C4).3C2192,874
(C3×C8⋊C4).4C2 = C3×C8⋊Q8φ: C2/C1 → C2 ⊆ Out C3×C8⋊C4192(C3xC8:C4).4C2192,934
(C3×C8⋊C4).5C2 = C12.15C42φ: C2/C1 → C2 ⊆ Out C3×C8⋊C4484(C3xC8:C4).5C2192,25
(C3×C8⋊C4).6C2 = C24⋊Q8φ: C2/C1 → C2 ⊆ Out C3×C8⋊C4192(C3xC8:C4).6C2192,260
(C3×C8⋊C4).7C2 = C42.2D6φ: C2/C1 → C2 ⊆ Out C3×C8⋊C4192(C3xC8:C4).7C2192,24
(C3×C8⋊C4).8C2 = C3×C42.2C22φ: C2/C1 → C2 ⊆ Out C3×C8⋊C4192(C3xC8:C4).8C2192,136
(C3×C8⋊C4).9C2 = C3×C16⋊C4φ: C2/C1 → C2 ⊆ Out C3×C8⋊C4484(C3xC8:C4).9C2192,153
(C3×C8⋊C4).10C2 = C42.14D6φ: C2/C1 → C2 ⊆ Out C3×C8⋊C4192(C3xC8:C4).10C2192,262
(C3×C8⋊C4).11C2 = C3×C8⋊4Q8φ: C2/C1 → C2 ⊆ Out C3×C8⋊C4192(C3xC8:C4).11C2192,879
(C3×C8⋊C4).12C2 = C3×C42.30C22φ: C2/C1 → C2 ⊆ Out C3×C8⋊C4192(C3xC8:C4).12C2192,924

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