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Extensions 1→N→G→Q→1 with N=D4xC2xC14 and Q=C2

Direct product G=NxQ with N=D4xC2xC14 and Q=C2
dρLabelID
D4xC22xC14224D4xC2^2xC14448,1386

Semidirect products G=N:Q with N=D4xC2xC14 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4xC2xC14):1C2 = (C2xC14):8D8φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14):1C2448,751
(D4xC2xC14):2C2 = C22xD4:D7φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14):2C2448,1245
(D4xC2xC14):3C2 = C2xD4.D14φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14):3C2448,1246
(D4xC2xC14):4C2 = C2xC28:2D4φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14):4C2448,1253
(D4xC2xC14):5C2 = D4xC7:D4φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14):5C2448,1254
(D4xC2xC14):6C2 = C2xC28:D4φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14):6C2448,1256
(D4xC2xC14):7C2 = C24.41D14φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14):7C2448,1258
(D4xC2xC14):8C2 = C24.42D14φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14):8C2448,1259
(D4xC2xC14):9C2 = C22xD4xD7φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14):9C2448,1369
(D4xC2xC14):10C2 = C22xD4:2D7φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14):10C2448,1370
(D4xC2xC14):11C2 = C2xD4:6D14φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14):11C2448,1371
(D4xC2xC14):12C2 = C24.21D14φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14):12C2448,757
(D4xC2xC14):13C2 = C7xC23:2D4φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14):13C2448,800
(D4xC2xC14):14C2 = C7xC22:D8φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14):14C2448,855
(D4xC2xC14):15C2 = C2xC23:D14φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14):15C2448,1252
(D4xC2xC14):16C2 = C2xDic7:D4φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14):16C2448,1255
(D4xC2xC14):17C2 = C24:7D14φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14):17C2448,1257
(D4xC2xC14):18C2 = C14xC22wrC2φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14):18C2448,1304
(D4xC2xC14):19C2 = C14xC4:D4φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14):19C2448,1305
(D4xC2xC14):20C2 = C14xC4:1D4φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14):20C2448,1313
(D4xC2xC14):21C2 = C7xC23:3D4φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14):21C2448,1317
(D4xC2xC14):22C2 = C7xC22.29C24φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14):22C2448,1318
(D4xC2xC14):23C2 = C7xD42φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14):23C2448,1328
(D4xC2xC14):24C2 = C7xD4:5D4φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14):24C2448,1329
(D4xC2xC14):25C2 = D8xC2xC14φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14):25C2448,1352
(D4xC2xC14):26C2 = C14xC8:C22φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14):26C2448,1356
(D4xC2xC14):27C2 = C14x2+ 1+4φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14):27C2448,1389
(D4xC2xC14):28C2 = C4oD4xC2xC14φ: trivial image224(D4xC2xC14):28C2448,1388

Non-split extensions G=N.Q with N=D4xC2xC14 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4xC2xC14).1C2 = C2xD4:Dic7φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14).1C2448,748
(D4xC2xC14).2C2 = (D4xC14):6C4φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14).2C2448,749
(D4xC2xC14).3C2 = C2xC28.D4φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14).3C2448,750
(D4xC2xC14).4C2 = (C7xD4).31D4φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14).4C2448,752
(D4xC2xC14).5C2 = C24.19D14φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14).5C2448,755
(D4xC2xC14).6C2 = C22xD4.D7φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14).6C2448,1247
(D4xC2xC14).7C2 = C2xD4xDic7φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14).7C2448,1248
(D4xC2xC14).8C2 = C2xC28.17D4φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14).8C2448,1250
(D4xC2xC14).9C2 = C24.38D14φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14).9C2448,1251
(D4xC2xC14).10C2 = C2xC23:Dic7φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14).10C2448,753
(D4xC2xC14).11C2 = C24.18D14φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14).11C2448,754
(D4xC2xC14).12C2 = C24.20D14φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14).12C2448,756
(D4xC2xC14).13C2 = C7xC23.23D4φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14).13C2448,794
(D4xC2xC14).14C2 = C7xC24.3C22φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14).14C2448,798
(D4xC2xC14).15C2 = C7xC23.10D4φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14).15C2448,802
(D4xC2xC14).16C2 = C14xC23:C4φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14).16C2448,817
(D4xC2xC14).17C2 = C14xC4.D4φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14).17C2448,819
(D4xC2xC14).18C2 = C14xD4:C4φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14).18C2448,822
(D4xC2xC14).19C2 = C7xC23.37D4φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14).19C2448,826
(D4xC2xC14).20C2 = C7xC22:SD16φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14).20C2448,858
(D4xC2xC14).21C2 = C2xC23.18D14φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14).21C2448,1249
(D4xC2xC14).22C2 = C7xC22.11C24φ: C2/C1 → C2 ⊆ Out D4xC2xC14112(D4xC2xC14).22C2448,1301
(D4xC2xC14).23C2 = C14xC22.D4φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14).23C2448,1307
(D4xC2xC14).24C2 = C14xC4.4D4φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14).24C2448,1309
(D4xC2xC14).25C2 = SD16xC2xC14φ: C2/C1 → C2 ⊆ Out D4xC2xC14224(D4xC2xC14).25C2448,1353
(D4xC2xC14).26C2 = D4xC2xC28φ: trivial image224(D4xC2xC14).26C2448,1298

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