# Extensions 1→N→G→Q→1 with N=Q8×C2×C14 and Q=C2

Direct product G=N×Q with N=Q8×C2×C14 and Q=C2
dρLabelID
Q8×C22×C14448Q8xC2^2xC14448,1387

Semidirect products G=N:Q with N=Q8×C2×C14 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C2×C14)⋊1C2 = (C7×Q8)⋊13D4φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):1C2448,761
(Q8×C2×C14)⋊2C2 = C22×Q8⋊D7φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):2C2448,1260
(Q8×C2×C14)⋊3C2 = C2×C28.C23φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):3C2448,1261
(Q8×C2×C14)⋊4C2 = C2×D143Q8φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):4C2448,1266
(Q8×C2×C14)⋊5C2 = C2×C28.23D4φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):5C2448,1267
(Q8×C2×C14)⋊6C2 = Q8×C7⋊D4φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):6C2448,1268
(Q8×C2×C14)⋊7C2 = C14.442- 1+4φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):7C2448,1269
(Q8×C2×C14)⋊8C2 = C14.452- 1+4φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):8C2448,1270
(Q8×C2×C14)⋊9C2 = C22×Q8×D7φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):9C2448,1372
(Q8×C2×C14)⋊10C2 = C22×Q82D7φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):10C2448,1373
(Q8×C2×C14)⋊11C2 = C2×Q8.10D14φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):11C2448,1374
(Q8×C2×C14)⋊12C2 = (C22×Q8)⋊D7φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):12C2448,765
(Q8×C2×C14)⋊13C2 = C7×C23⋊Q8φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):13C2448,801
(Q8×C2×C14)⋊14C2 = C7×Q8⋊D4φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):14C2448,856
(Q8×C2×C14)⋊15C2 = C14×C22⋊Q8φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):15C2448,1306
(Q8×C2×C14)⋊16C2 = C14×C4.4D4φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):16C2448,1309
(Q8×C2×C14)⋊17C2 = C7×C23.38C23φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):17C2448,1319
(Q8×C2×C14)⋊18C2 = C7×Q85D4φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):18C2448,1331
(Q8×C2×C14)⋊19C2 = C7×D4×Q8φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):19C2448,1332
(Q8×C2×C14)⋊20C2 = SD16×C2×C14φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):20C2448,1353
(Q8×C2×C14)⋊21C2 = C14×C8.C22φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):21C2448,1357
(Q8×C2×C14)⋊22C2 = C14×2- 1+4φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14):22C2448,1390
(Q8×C2×C14)⋊23C2 = C4○D4×C2×C14φ: trivial image224(Q8xC2xC14):23C2448,1388

Non-split extensions G=N.Q with N=Q8×C2×C14 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C2×C14).1C2 = C2×Q8⋊Dic7φ: C2/C1C2 ⊆ Out Q8×C2×C14448(Q8xC2xC14).1C2448,758
(Q8×C2×C14).2C2 = (Q8×C14)⋊6C4φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14).2C2448,759
(Q8×C2×C14).3C2 = C2×C28.10D4φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14).3C2448,760
(Q8×C2×C14).4C2 = (C2×C14)⋊8Q16φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14).4C2448,762
(Q8×C2×C14).5C2 = (Q8×C14)⋊7C4φ: C2/C1C2 ⊆ Out Q8×C2×C14448(Q8xC2xC14).5C2448,764
(Q8×C2×C14).6C2 = C22×C7⋊Q16φ: C2/C1C2 ⊆ Out Q8×C2×C14448(Q8xC2xC14).6C2448,1262
(Q8×C2×C14).7C2 = C2×Dic7⋊Q8φ: C2/C1C2 ⊆ Out Q8×C2×C14448(Q8xC2xC14).7C2448,1263
(Q8×C2×C14).8C2 = C2×Q8×Dic7φ: C2/C1C2 ⊆ Out Q8×C2×C14448(Q8xC2xC14).8C2448,1264
(Q8×C2×C14).9C2 = C14.422- 1+4φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14).9C2448,1265
(Q8×C2×C14).10C2 = C14.C22≀C2φ: C2/C1C2 ⊆ Out Q8×C2×C14448(Q8xC2xC14).10C2448,763
(Q8×C2×C14).11C2 = C7×C23.67C23φ: C2/C1C2 ⊆ Out Q8×C2×C14448(Q8xC2xC14).11C2448,799
(Q8×C2×C14).12C2 = C7×C23.78C23φ: C2/C1C2 ⊆ Out Q8×C2×C14448(Q8xC2xC14).12C2448,803
(Q8×C2×C14).13C2 = C14×C4.10D4φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14).13C2448,820
(Q8×C2×C14).14C2 = C14×Q8⋊C4φ: C2/C1C2 ⊆ Out Q8×C2×C14448(Q8xC2xC14).14C2448,823
(Q8×C2×C14).15C2 = C7×C23.38D4φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14).15C2448,827
(Q8×C2×C14).16C2 = C7×C22⋊Q16φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14).16C2448,859
(Q8×C2×C14).17C2 = C7×C23.32C23φ: C2/C1C2 ⊆ Out Q8×C2×C14224(Q8xC2xC14).17C2448,1302
(Q8×C2×C14).18C2 = C14×C4⋊Q8φ: C2/C1C2 ⊆ Out Q8×C2×C14448(Q8xC2xC14).18C2448,1314
(Q8×C2×C14).19C2 = Q16×C2×C14φ: C2/C1C2 ⊆ Out Q8×C2×C14448(Q8xC2xC14).19C2448,1354
(Q8×C2×C14).20C2 = Q8×C2×C28φ: trivial image448(Q8xC2xC14).20C2448,1299

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