Extensions 1→N→G→Q→1 with N=C2xC4oD4 and Q=C14

Direct product G=NxQ with N=C2xC4oD4 and Q=C14
dρLabelID
C4oD4xC2xC14224C4oD4xC2xC14448,1388

Semidirect products G=N:Q with N=C2xC4oD4 and Q=C14
extensionφ:Q→Out NdρLabelID
(C2xC4oD4):1C14 = C7xD4:D4φ: C14/C7C2 ⊆ Out C2xC4oD4224(C2xC4oD4):1C14448,857
(C2xC4oD4):2C14 = C7xC22.19C24φ: C14/C7C2 ⊆ Out C2xC4oD4112(C2xC4oD4):2C14448,1308
(C2xC4oD4):3C14 = C7xC22.26C24φ: C14/C7C2 ⊆ Out C2xC4oD4224(C2xC4oD4):3C14448,1315
(C2xC4oD4):4C14 = C7xC22.29C24φ: C14/C7C2 ⊆ Out C2xC4oD4112(C2xC4oD4):4C14448,1318
(C2xC4oD4):5C14 = C7xC22.31C24φ: C14/C7C2 ⊆ Out C2xC4oD4224(C2xC4oD4):5C14448,1320
(C2xC4oD4):6C14 = C7xD4:5D4φ: C14/C7C2 ⊆ Out C2xC4oD4112(C2xC4oD4):6C14448,1329
(C2xC4oD4):7C14 = C7xD4:6D4φ: C14/C7C2 ⊆ Out C2xC4oD4224(C2xC4oD4):7C14448,1330
(C2xC4oD4):8C14 = C7xQ8:5D4φ: C14/C7C2 ⊆ Out C2xC4oD4224(C2xC4oD4):8C14448,1331
(C2xC4oD4):9C14 = C7xQ8:6D4φ: C14/C7C2 ⊆ Out C2xC4oD4224(C2xC4oD4):9C14448,1333
(C2xC4oD4):10C14 = C14xC4oD8φ: C14/C7C2 ⊆ Out C2xC4oD4224(C2xC4oD4):10C14448,1355
(C2xC4oD4):11C14 = C14xC8:C22φ: C14/C7C2 ⊆ Out C2xC4oD4112(C2xC4oD4):11C14448,1356
(C2xC4oD4):12C14 = C7xD8:C22φ: C14/C7C2 ⊆ Out C2xC4oD41124(C2xC4oD4):12C14448,1358
(C2xC4oD4):13C14 = C14x2+ 1+4φ: C14/C7C2 ⊆ Out C2xC4oD4112(C2xC4oD4):13C14448,1389
(C2xC4oD4):14C14 = C14x2- 1+4φ: C14/C7C2 ⊆ Out C2xC4oD4224(C2xC4oD4):14C14448,1390
(C2xC4oD4):15C14 = C7xC2.C25φ: C14/C7C2 ⊆ Out C2xC4oD41124(C2xC4oD4):15C14448,1391

Non-split extensions G=N.Q with N=C2xC4oD4 and Q=C14
extensionφ:Q→Out NdρLabelID
(C2xC4oD4).1C14 = C7x(C22xC8):C2φ: C14/C7C2 ⊆ Out C2xC4oD4224(C2xC4oD4).1C14448,816
(C2xC4oD4).2C14 = C7xC23.C23φ: C14/C7C2 ⊆ Out C2xC4oD41124(C2xC4oD4).2C14448,818
(C2xC4oD4).3C14 = C7xM4(2).8C22φ: C14/C7C2 ⊆ Out C2xC4oD41124(C2xC4oD4).3C14448,821
(C2xC4oD4).4C14 = C7xC23.24D4φ: C14/C7C2 ⊆ Out C2xC4oD4224(C2xC4oD4).4C14448,824
(C2xC4oD4).5C14 = C7xC23.36D4φ: C14/C7C2 ⊆ Out C2xC4oD4224(C2xC4oD4).5C14448,825
(C2xC4oD4).6C14 = C14xC4wrC2φ: C14/C7C2 ⊆ Out C2xC4oD4112(C2xC4oD4).6C14448,828
(C2xC4oD4).7C14 = C7xC42:C22φ: C14/C7C2 ⊆ Out C2xC4oD41124(C2xC4oD4).7C14448,829
(C2xC4oD4).8C14 = C7xD4.7D4φ: C14/C7C2 ⊆ Out C2xC4oD4224(C2xC4oD4).8C14448,860
(C2xC4oD4).9C14 = C7xC23.33C23φ: C14/C7C2 ⊆ Out C2xC4oD4224(C2xC4oD4).9C14448,1303
(C2xC4oD4).10C14 = C7xC23.38C23φ: C14/C7C2 ⊆ Out C2xC4oD4224(C2xC4oD4).10C14448,1319
(C2xC4oD4).11C14 = C7xQ8oM4(2)φ: C14/C7C2 ⊆ Out C2xC4oD41124(C2xC4oD4).11C14448,1351
(C2xC4oD4).12C14 = C14xC8.C22φ: C14/C7C2 ⊆ Out C2xC4oD4224(C2xC4oD4).12C14448,1357
(C2xC4oD4).13C14 = C4oD4xC28φ: trivial image224(C2xC4oD4).13C14448,1300
(C2xC4oD4).14C14 = C14xC8oD4φ: trivial image224(C2xC4oD4).14C14448,1350

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