# Extensions 1→N→G→Q→1 with N=C2×C4○D4 and Q=C14

Direct product G=N×Q with N=C2×C4○D4 and Q=C14
dρLabelID
C4○D4×C2×C14224C4oD4xC2xC14448,1388

Semidirect products G=N:Q with N=C2×C4○D4 and Q=C14
extensionφ:Q→Out NdρLabelID
(C2×C4○D4)⋊1C14 = C7×D4⋊D4φ: C14/C7C2 ⊆ Out C2×C4○D4224(C2xC4oD4):1C14448,857
(C2×C4○D4)⋊2C14 = C7×C22.19C24φ: C14/C7C2 ⊆ Out C2×C4○D4112(C2xC4oD4):2C14448,1308
(C2×C4○D4)⋊3C14 = C7×C22.26C24φ: C14/C7C2 ⊆ Out C2×C4○D4224(C2xC4oD4):3C14448,1315
(C2×C4○D4)⋊4C14 = C7×C22.29C24φ: C14/C7C2 ⊆ Out C2×C4○D4112(C2xC4oD4):4C14448,1318
(C2×C4○D4)⋊5C14 = C7×C22.31C24φ: C14/C7C2 ⊆ Out C2×C4○D4224(C2xC4oD4):5C14448,1320
(C2×C4○D4)⋊6C14 = C7×D45D4φ: C14/C7C2 ⊆ Out C2×C4○D4112(C2xC4oD4):6C14448,1329
(C2×C4○D4)⋊7C14 = C7×D46D4φ: C14/C7C2 ⊆ Out C2×C4○D4224(C2xC4oD4):7C14448,1330
(C2×C4○D4)⋊8C14 = C7×Q85D4φ: C14/C7C2 ⊆ Out C2×C4○D4224(C2xC4oD4):8C14448,1331
(C2×C4○D4)⋊9C14 = C7×Q86D4φ: C14/C7C2 ⊆ Out C2×C4○D4224(C2xC4oD4):9C14448,1333
(C2×C4○D4)⋊10C14 = C14×C4○D8φ: C14/C7C2 ⊆ Out C2×C4○D4224(C2xC4oD4):10C14448,1355
(C2×C4○D4)⋊11C14 = C14×C8⋊C22φ: C14/C7C2 ⊆ Out C2×C4○D4112(C2xC4oD4):11C14448,1356
(C2×C4○D4)⋊12C14 = C7×D8⋊C22φ: C14/C7C2 ⊆ Out C2×C4○D41124(C2xC4oD4):12C14448,1358
(C2×C4○D4)⋊13C14 = C14×2+ 1+4φ: C14/C7C2 ⊆ Out C2×C4○D4112(C2xC4oD4):13C14448,1389
(C2×C4○D4)⋊14C14 = C14×2- 1+4φ: C14/C7C2 ⊆ Out C2×C4○D4224(C2xC4oD4):14C14448,1390
(C2×C4○D4)⋊15C14 = C7×C2.C25φ: C14/C7C2 ⊆ Out C2×C4○D41124(C2xC4oD4):15C14448,1391

Non-split extensions G=N.Q with N=C2×C4○D4 and Q=C14
extensionφ:Q→Out NdρLabelID
(C2×C4○D4).1C14 = C7×(C22×C8)⋊C2φ: C14/C7C2 ⊆ Out C2×C4○D4224(C2xC4oD4).1C14448,816
(C2×C4○D4).2C14 = C7×C23.C23φ: C14/C7C2 ⊆ Out C2×C4○D41124(C2xC4oD4).2C14448,818
(C2×C4○D4).3C14 = C7×M4(2).8C22φ: C14/C7C2 ⊆ Out C2×C4○D41124(C2xC4oD4).3C14448,821
(C2×C4○D4).4C14 = C7×C23.24D4φ: C14/C7C2 ⊆ Out C2×C4○D4224(C2xC4oD4).4C14448,824
(C2×C4○D4).5C14 = C7×C23.36D4φ: C14/C7C2 ⊆ Out C2×C4○D4224(C2xC4oD4).5C14448,825
(C2×C4○D4).6C14 = C14×C4≀C2φ: C14/C7C2 ⊆ Out C2×C4○D4112(C2xC4oD4).6C14448,828
(C2×C4○D4).7C14 = C7×C42⋊C22φ: C14/C7C2 ⊆ Out C2×C4○D41124(C2xC4oD4).7C14448,829
(C2×C4○D4).8C14 = C7×D4.7D4φ: C14/C7C2 ⊆ Out C2×C4○D4224(C2xC4oD4).8C14448,860
(C2×C4○D4).9C14 = C7×C23.33C23φ: C14/C7C2 ⊆ Out C2×C4○D4224(C2xC4oD4).9C14448,1303
(C2×C4○D4).10C14 = C7×C23.38C23φ: C14/C7C2 ⊆ Out C2×C4○D4224(C2xC4oD4).10C14448,1319
(C2×C4○D4).11C14 = C7×Q8○M4(2)φ: C14/C7C2 ⊆ Out C2×C4○D41124(C2xC4oD4).11C14448,1351
(C2×C4○D4).12C14 = C14×C8.C22φ: C14/C7C2 ⊆ Out C2×C4○D4224(C2xC4oD4).12C14448,1357
(C2×C4○D4).13C14 = C4○D4×C28φ: trivial image224(C2xC4oD4).13C14448,1300
(C2×C4○D4).14C14 = C14×C8○D4φ: trivial image224(C2xC4oD4).14C14448,1350

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