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

Direct product G=N×Q with N=C4×D4 and Q=C14
dρLabelID
D4×C2×C28224D4xC2xC28448,1298

Semidirect products G=N:Q with N=C4×D4 and Q=C14
extensionφ:Q→Out NdρLabelID
(C4×D4)⋊1C14 = D8×C28φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4):1C14448,845
(C4×D4)⋊2C14 = C7×D8⋊C4φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4):2C14448,850
(C4×D4)⋊3C14 = C7×C4⋊D8φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4):3C14448,867
(C4×D4)⋊4C14 = C7×D4.2D4φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4):4C14448,871
(C4×D4)⋊5C14 = C7×C22.11C24φ: C14/C7C2 ⊆ Out C4×D4112(C4xD4):5C14448,1301
(C4×D4)⋊6C14 = C7×C23.33C23φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4):6C14448,1303
(C4×D4)⋊7C14 = C7×C22.19C24φ: C14/C7C2 ⊆ Out C4×D4112(C4xD4):7C14448,1308
(C4×D4)⋊8C14 = C7×C23.36C23φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4):8C14448,1312
(C4×D4)⋊9C14 = C7×C22.26C24φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4):9C14448,1315
(C4×D4)⋊10C14 = C7×C22.32C24φ: C14/C7C2 ⊆ Out C4×D4112(C4xD4):10C14448,1321
(C4×D4)⋊11C14 = C7×C22.33C24φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4):11C14448,1322
(C4×D4)⋊12C14 = C7×C22.34C24φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4):12C14448,1323
(C4×D4)⋊13C14 = C7×C22.36C24φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4):13C14448,1325
(C4×D4)⋊14C14 = C7×D42φ: C14/C7C2 ⊆ Out C4×D4112(C4xD4):14C14448,1328
(C4×D4)⋊15C14 = C7×D45D4φ: C14/C7C2 ⊆ Out C4×D4112(C4xD4):15C14448,1329
(C4×D4)⋊16C14 = C7×D46D4φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4):16C14448,1330
(C4×D4)⋊17C14 = C7×Q85D4φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4):17C14448,1331
(C4×D4)⋊18C14 = C7×Q86D4φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4):18C14448,1333
(C4×D4)⋊19C14 = C7×C22.45C24φ: C14/C7C2 ⊆ Out C4×D4112(C4xD4):19C14448,1334
(C4×D4)⋊20C14 = C7×C22.47C24φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4):20C14448,1336
(C4×D4)⋊21C14 = C7×C22.49C24φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4):21C14448,1338
(C4×D4)⋊22C14 = C7×C22.53C24φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4):22C14448,1342
(C4×D4)⋊23C14 = C4○D4×C28φ: trivial image224(C4xD4):23C14448,1300

Non-split extensions G=N.Q with N=C4×D4 and Q=C14
extensionφ:Q→Out NdρLabelID
(C4×D4).1C14 = C7×D4⋊C8φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4).1C14448,129
(C4×D4).2C14 = C7×C89D4φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4).2C14448,843
(C4×D4).3C14 = C7×C86D4φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4).3C14448,844
(C4×D4).4C14 = SD16×C28φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4).4C14448,846
(C4×D4).5C14 = C7×SD16⋊C4φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4).5C14448,848
(C4×D4).6C14 = C7×D4.D4φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4).6C14448,869
(C4×D4).7C14 = C7×D4⋊Q8φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4).7C14448,882
(C4×D4).8C14 = C7×D42Q8φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4).8C14448,884
(C4×D4).9C14 = C7×D4.Q8φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4).9C14448,886
(C4×D4).10C14 = C7×D4×Q8φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4).10C14448,1332
(C4×D4).11C14 = C7×C22.46C24φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4).11C14448,1335
(C4×D4).12C14 = C7×D43Q8φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4).12C14448,1337
(C4×D4).13C14 = C7×C22.50C24φ: C14/C7C2 ⊆ Out C4×D4224(C4xD4).13C14448,1339
(C4×D4).14C14 = D4×C56φ: trivial image224(C4xD4).14C14448,842

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