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

Direct product G=N×Q with N=D4×C2×C14 and Q=C2
dρLabelID
D4×C22×C14224D4xC2^2xC14448,1386

Semidirect products G=N:Q with N=D4×C2×C14 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4×C2×C14)⋊1C2 = (C2×C14)⋊8D8φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14):1C2448,751
(D4×C2×C14)⋊2C2 = C22×D4⋊D7φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14):2C2448,1245
(D4×C2×C14)⋊3C2 = C2×D4.D14φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14):3C2448,1246
(D4×C2×C14)⋊4C2 = C2×C282D4φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14):4C2448,1253
(D4×C2×C14)⋊5C2 = D4×C7⋊D4φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14):5C2448,1254
(D4×C2×C14)⋊6C2 = C2×C28⋊D4φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14):6C2448,1256
(D4×C2×C14)⋊7C2 = C24.41D14φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14):7C2448,1258
(D4×C2×C14)⋊8C2 = C24.42D14φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14):8C2448,1259
(D4×C2×C14)⋊9C2 = C22×D4×D7φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14):9C2448,1369
(D4×C2×C14)⋊10C2 = C22×D42D7φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14):10C2448,1370
(D4×C2×C14)⋊11C2 = C2×D46D14φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14):11C2448,1371
(D4×C2×C14)⋊12C2 = C24.21D14φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14):12C2448,757
(D4×C2×C14)⋊13C2 = C7×C232D4φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14):13C2448,800
(D4×C2×C14)⋊14C2 = C7×C22⋊D8φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14):14C2448,855
(D4×C2×C14)⋊15C2 = C2×C23⋊D14φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14):15C2448,1252
(D4×C2×C14)⋊16C2 = C2×Dic7⋊D4φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14):16C2448,1255
(D4×C2×C14)⋊17C2 = C247D14φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14):17C2448,1257
(D4×C2×C14)⋊18C2 = C14×C22≀C2φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14):18C2448,1304
(D4×C2×C14)⋊19C2 = C14×C4⋊D4φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14):19C2448,1305
(D4×C2×C14)⋊20C2 = C14×C41D4φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14):20C2448,1313
(D4×C2×C14)⋊21C2 = C7×C233D4φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14):21C2448,1317
(D4×C2×C14)⋊22C2 = C7×C22.29C24φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14):22C2448,1318
(D4×C2×C14)⋊23C2 = C7×D42φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14):23C2448,1328
(D4×C2×C14)⋊24C2 = C7×D45D4φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14):24C2448,1329
(D4×C2×C14)⋊25C2 = D8×C2×C14φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14):25C2448,1352
(D4×C2×C14)⋊26C2 = C14×C8⋊C22φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14):26C2448,1356
(D4×C2×C14)⋊27C2 = C14×2+ 1+4φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14):27C2448,1389
(D4×C2×C14)⋊28C2 = C4○D4×C2×C14φ: trivial image224(D4xC2xC14):28C2448,1388

Non-split extensions G=N.Q with N=D4×C2×C14 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4×C2×C14).1C2 = C2×D4⋊Dic7φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14).1C2448,748
(D4×C2×C14).2C2 = (D4×C14)⋊6C4φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14).2C2448,749
(D4×C2×C14).3C2 = C2×C28.D4φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14).3C2448,750
(D4×C2×C14).4C2 = (C7×D4).31D4φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14).4C2448,752
(D4×C2×C14).5C2 = C24.19D14φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14).5C2448,755
(D4×C2×C14).6C2 = C22×D4.D7φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14).6C2448,1247
(D4×C2×C14).7C2 = C2×D4×Dic7φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14).7C2448,1248
(D4×C2×C14).8C2 = C2×C28.17D4φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14).8C2448,1250
(D4×C2×C14).9C2 = C24.38D14φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14).9C2448,1251
(D4×C2×C14).10C2 = C2×C23⋊Dic7φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14).10C2448,753
(D4×C2×C14).11C2 = C24.18D14φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14).11C2448,754
(D4×C2×C14).12C2 = C24.20D14φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14).12C2448,756
(D4×C2×C14).13C2 = C7×C23.23D4φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14).13C2448,794
(D4×C2×C14).14C2 = C7×C24.3C22φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14).14C2448,798
(D4×C2×C14).15C2 = C7×C23.10D4φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14).15C2448,802
(D4×C2×C14).16C2 = C14×C23⋊C4φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14).16C2448,817
(D4×C2×C14).17C2 = C14×C4.D4φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14).17C2448,819
(D4×C2×C14).18C2 = C14×D4⋊C4φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14).18C2448,822
(D4×C2×C14).19C2 = C7×C23.37D4φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14).19C2448,826
(D4×C2×C14).20C2 = C7×C22⋊SD16φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14).20C2448,858
(D4×C2×C14).21C2 = C2×C23.18D14φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14).21C2448,1249
(D4×C2×C14).22C2 = C7×C22.11C24φ: C2/C1C2 ⊆ Out D4×C2×C14112(D4xC2xC14).22C2448,1301
(D4×C2×C14).23C2 = C14×C22.D4φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14).23C2448,1307
(D4×C2×C14).24C2 = C14×C4.4D4φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14).24C2448,1309
(D4×C2×C14).25C2 = SD16×C2×C14φ: C2/C1C2 ⊆ Out D4×C2×C14224(D4xC2xC14).25C2448,1353
(D4×C2×C14).26C2 = D4×C2×C28φ: trivial image224(D4xC2xC14).26C2448,1298

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