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

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

Semidirect products G=N:Q with N=C14×C4○D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C14×C4○D4)⋊1C2 = (C7×D4)⋊14D4φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4):1C2448,772
(C14×C4○D4)⋊2C2 = C2×D4⋊D14φ: C2/C1C2 ⊆ Out C14×C4○D4112(C14xC4oD4):2C2448,1273
(C14×C4○D4)⋊3C2 = C2×D4.8D14φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4):3C2448,1274
(C14×C4○D4)⋊4C2 = C28.C24φ: C2/C1C2 ⊆ Out C14×C4○D41124(C14xC4oD4):4C2448,1275
(C14×C4○D4)⋊5C2 = C14.1042- 1+4φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4):5C2448,1277
(C14×C4○D4)⋊6C2 = (C2×C28)⋊15D4φ: C2/C1C2 ⊆ Out C14×C4○D4112(C14xC4oD4):6C2448,1281
(C14×C4○D4)⋊7C2 = C14.1452+ 1+4φ: C2/C1C2 ⊆ Out C14×C4○D4112(C14xC4oD4):7C2448,1282
(C14×C4○D4)⋊8C2 = C14.1462+ 1+4φ: C2/C1C2 ⊆ Out C14×C4○D4112(C14xC4oD4):8C2448,1283
(C14×C4○D4)⋊9C2 = C14.1072- 1+4φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4):9C2448,1284
(C14×C4○D4)⋊10C2 = (C2×C28)⋊17D4φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4):10C2448,1285
(C14×C4○D4)⋊11C2 = C14.1082- 1+4φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4):11C2448,1286
(C14×C4○D4)⋊12C2 = C14.1482+ 1+4φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4):12C2448,1287
(C14×C4○D4)⋊13C2 = C2×D7×C4○D4φ: C2/C1C2 ⊆ Out C14×C4○D4112(C14xC4oD4):13C2448,1375
(C14×C4○D4)⋊14C2 = C2×D48D14φ: C2/C1C2 ⊆ Out C14×C4○D4112(C14xC4oD4):14C2448,1376
(C14×C4○D4)⋊15C2 = C2×D4.10D14φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4):15C2448,1377
(C14×C4○D4)⋊16C2 = C14.C25φ: C2/C1C2 ⊆ Out C14×C4○D41124(C14xC4oD4):16C2448,1378
(C14×C4○D4)⋊17C2 = C7×D4⋊D4φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4):17C2448,857
(C14×C4○D4)⋊18C2 = C7×C22.19C24φ: C2/C1C2 ⊆ Out C14×C4○D4112(C14xC4oD4):18C2448,1308
(C14×C4○D4)⋊19C2 = C7×C22.26C24φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4):19C2448,1315
(C14×C4○D4)⋊20C2 = C7×C22.29C24φ: C2/C1C2 ⊆ Out C14×C4○D4112(C14xC4oD4):20C2448,1318
(C14×C4○D4)⋊21C2 = C7×C22.31C24φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4):21C2448,1320
(C14×C4○D4)⋊22C2 = C7×D45D4φ: C2/C1C2 ⊆ Out C14×C4○D4112(C14xC4oD4):22C2448,1329
(C14×C4○D4)⋊23C2 = C7×D46D4φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4):23C2448,1330
(C14×C4○D4)⋊24C2 = C7×Q85D4φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4):24C2448,1331
(C14×C4○D4)⋊25C2 = C7×Q86D4φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4):25C2448,1333
(C14×C4○D4)⋊26C2 = C14×C4○D8φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4):26C2448,1355
(C14×C4○D4)⋊27C2 = C14×C8⋊C22φ: C2/C1C2 ⊆ Out C14×C4○D4112(C14xC4oD4):27C2448,1356
(C14×C4○D4)⋊28C2 = C7×D8⋊C22φ: C2/C1C2 ⊆ Out C14×C4○D41124(C14xC4oD4):28C2448,1358
(C14×C4○D4)⋊29C2 = C14×2+ 1+4φ: C2/C1C2 ⊆ Out C14×C4○D4112(C14xC4oD4):29C2448,1389
(C14×C4○D4)⋊30C2 = C14×2- 1+4φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4):30C2448,1390
(C14×C4○D4)⋊31C2 = C7×C2.C25φ: C2/C1C2 ⊆ Out C14×C4○D41124(C14xC4oD4):31C2448,1391

Non-split extensions G=N.Q with N=C14×C4○D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C14×C4○D4).1C2 = C4○D4⋊Dic7φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4).1C2448,766
(C14×C4○D4).2C2 = C28.(C2×D4)φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4).2C2448,767
(C14×C4○D4).3C2 = (D4×C14).11C4φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4).3C2448,768
(C14×C4○D4).4C2 = C2×D42Dic7φ: C2/C1C2 ⊆ Out C14×C4○D4112(C14xC4oD4).4C2448,769
(C14×C4○D4).5C2 = (D4×C14)⋊9C4φ: C2/C1C2 ⊆ Out C14×C4○D41124(C14xC4oD4).5C2448,770
(C14×C4○D4).6C2 = (D4×C14).16C4φ: C2/C1C2 ⊆ Out C14×C4○D41124(C14xC4oD4).6C2448,771
(C14×C4○D4).7C2 = (C7×D4).32D4φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4).7C2448,773
(C14×C4○D4).8C2 = (D4×C14)⋊10C4φ: C2/C1C2 ⊆ Out C14×C4○D41124(C14xC4oD4).8C2448,774
(C14×C4○D4).9C2 = C2×Q8.Dic7φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4).9C2448,1271
(C14×C4○D4).10C2 = C28.76C24φ: C2/C1C2 ⊆ Out C14×C4○D41124(C14xC4oD4).10C2448,1272
(C14×C4○D4).11C2 = C2×D4.9D14φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4).11C2448,1276
(C14×C4○D4).12C2 = C14.1052- 1+4φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4).12C2448,1278
(C14×C4○D4).13C2 = C4○D4×Dic7φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4).13C2448,1279
(C14×C4○D4).14C2 = C14.1062- 1+4φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4).14C2448,1280
(C14×C4○D4).15C2 = C7×(C22×C8)⋊C2φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4).15C2448,816
(C14×C4○D4).16C2 = C7×C23.C23φ: C2/C1C2 ⊆ Out C14×C4○D41124(C14xC4oD4).16C2448,818
(C14×C4○D4).17C2 = C7×M4(2).8C22φ: C2/C1C2 ⊆ Out C14×C4○D41124(C14xC4oD4).17C2448,821
(C14×C4○D4).18C2 = C7×C23.24D4φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4).18C2448,824
(C14×C4○D4).19C2 = C7×C23.36D4φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4).19C2448,825
(C14×C4○D4).20C2 = C14×C4≀C2φ: C2/C1C2 ⊆ Out C14×C4○D4112(C14xC4oD4).20C2448,828
(C14×C4○D4).21C2 = C7×C42⋊C22φ: C2/C1C2 ⊆ Out C14×C4○D41124(C14xC4oD4).21C2448,829
(C14×C4○D4).22C2 = C7×D4.7D4φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4).22C2448,860
(C14×C4○D4).23C2 = C7×C23.33C23φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4).23C2448,1303
(C14×C4○D4).24C2 = C7×C23.38C23φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4).24C2448,1319
(C14×C4○D4).25C2 = C7×Q8○M4(2)φ: C2/C1C2 ⊆ Out C14×C4○D41124(C14xC4oD4).25C2448,1351
(C14×C4○D4).26C2 = C14×C8.C22φ: C2/C1C2 ⊆ Out C14×C4○D4224(C14xC4oD4).26C2448,1357
(C14×C4○D4).27C2 = C4○D4×C28φ: trivial image224(C14xC4oD4).27C2448,1300
(C14×C4○D4).28C2 = C14×C8○D4φ: trivial image224(C14xC4oD4).28C2448,1350

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