# Extensions 1→N→G→Q→1 with N=C7×C4○D4 and Q=C22

Direct product G=N×Q with N=C7×C4○D4 and Q=C22
dρLabelID
C4○D4×C2×C14224C4oD4xC2xC14448,1388

Semidirect products G=N:Q with N=C7×C4○D4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C7×C4○D4)⋊1C22 = D7×C4○D8φ: C22/C1C22 ⊆ Out C7×C4○D41124(C7xC4oD4):1C2^2448,1220
(C7×C4○D4)⋊2C22 = D810D14φ: C22/C1C22 ⊆ Out C7×C4○D41124(C7xC4oD4):2C2^2448,1221
(C7×C4○D4)⋊3C22 = D815D14φ: C22/C1C22 ⊆ Out C7×C4○D41124+(C7xC4oD4):3C2^2448,1222
(C7×C4○D4)⋊4C22 = D811D14φ: C22/C1C22 ⊆ Out C7×C4○D41124(C7xC4oD4):4C2^2448,1223
(C7×C4○D4)⋊5C22 = D7×C8⋊C22φ: C22/C1C22 ⊆ Out C7×C4○D4568+(C7xC4oD4):5C2^2448,1225
(C7×C4○D4)⋊6C22 = D85D14φ: C22/C1C22 ⊆ Out C7×C4○D41128+(C7xC4oD4):6C2^2448,1227
(C7×C4○D4)⋊7C22 = D86D14φ: C22/C1C22 ⊆ Out C7×C4○D41128-(C7xC4oD4):7C2^2448,1228
(C7×C4○D4)⋊8C22 = D28.32C23φ: C22/C1C22 ⊆ Out C7×C4○D41128+(C7xC4oD4):8C2^2448,1288
(C7×C4○D4)⋊9C22 = D28.34C23φ: C22/C1C22 ⊆ Out C7×C4○D41128+(C7xC4oD4):9C2^2448,1290
(C7×C4○D4)⋊10C22 = D7×2+ 1+4φ: C22/C1C22 ⊆ Out C7×C4○D4568+(C7xC4oD4):10C2^2448,1379
(C7×C4○D4)⋊11C22 = D14.C24φ: C22/C1C22 ⊆ Out C7×C4○D41128-(C7xC4oD4):11C2^2448,1380
(C7×C4○D4)⋊12C22 = D7×2- 1+4φ: C22/C1C22 ⊆ Out C7×C4○D41128-(C7xC4oD4):12C2^2448,1381
(C7×C4○D4)⋊13C22 = D28.39C23φ: C22/C1C22 ⊆ Out C7×C4○D41128+(C7xC4oD4):13C2^2448,1382
(C7×C4○D4)⋊14C22 = C7×D4○D8φ: C22/C1C22 ⊆ Out C7×C4○D41124(C7xC4oD4):14C2^2448,1359
(C7×C4○D4)⋊15C22 = C7×D4○SD16φ: C22/C1C22 ⊆ Out C7×C4○D41124(C7xC4oD4):15C2^2448,1360
(C7×C4○D4)⋊16C22 = C2×D4⋊D14φ: C22/C2C2 ⊆ Out C7×C4○D4112(C7xC4oD4):16C2^2448,1273
(C7×C4○D4)⋊17C22 = C2×D4.8D14φ: C22/C2C2 ⊆ Out C7×C4○D4224(C7xC4oD4):17C2^2448,1274
(C7×C4○D4)⋊18C22 = C28.C24φ: C22/C2C2 ⊆ Out C7×C4○D41124(C7xC4oD4):18C2^2448,1275
(C7×C4○D4)⋊19C22 = C2×D7×C4○D4φ: C22/C2C2 ⊆ Out C7×C4○D4112(C7xC4oD4):19C2^2448,1375
(C7×C4○D4)⋊20C22 = C2×D48D14φ: C22/C2C2 ⊆ Out C7×C4○D4112(C7xC4oD4):20C2^2448,1376
(C7×C4○D4)⋊21C22 = C2×D4.10D14φ: C22/C2C2 ⊆ Out C7×C4○D4224(C7xC4oD4):21C2^2448,1377
(C7×C4○D4)⋊22C22 = C14.C25φ: C22/C2C2 ⊆ Out C7×C4○D41124(C7xC4oD4):22C2^2448,1378
(C7×C4○D4)⋊23C22 = C14×C4○D8φ: C22/C2C2 ⊆ Out C7×C4○D4224(C7xC4oD4):23C2^2448,1355
(C7×C4○D4)⋊24C22 = C14×C8⋊C22φ: C22/C2C2 ⊆ Out C7×C4○D4112(C7xC4oD4):24C2^2448,1356
(C7×C4○D4)⋊25C22 = C7×D8⋊C22φ: C22/C2C2 ⊆ Out C7×C4○D41124(C7xC4oD4):25C2^2448,1358
(C7×C4○D4)⋊26C22 = C14×2+ 1+4φ: C22/C2C2 ⊆ Out C7×C4○D4112(C7xC4oD4):26C2^2448,1389
(C7×C4○D4)⋊27C22 = C14×2- 1+4φ: C22/C2C2 ⊆ Out C7×C4○D4224(C7xC4oD4):27C2^2448,1390
(C7×C4○D4)⋊28C22 = C7×C2.C25φ: trivial image1124(C7xC4oD4):28C2^2448,1391

Non-split extensions G=N.Q with N=C7×C4○D4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C7×C4○D4).1C22 = D7×C4≀C2φ: C22/C1C22 ⊆ Out C7×C4○D4564(C7xC4oD4).1C2^2448,354
(C7×C4○D4).2C22 = C42⋊D14φ: C22/C1C22 ⊆ Out C7×C4○D41124(C7xC4oD4).2C2^2448,355
(C7×C4○D4).3C22 = D44D28φ: C22/C1C22 ⊆ Out C7×C4○D4564+(C7xC4oD4).3C2^2448,356
(C7×C4○D4).4C22 = M4(2).22D14φ: C22/C1C22 ⊆ Out C7×C4○D41124(C7xC4oD4).4C2^2448,357
(C7×C4○D4).5C22 = C42.196D14φ: C22/C1C22 ⊆ Out C7×C4○D41124(C7xC4oD4).5C2^2448,358
(C7×C4○D4).6C22 = M4(2)⋊D14φ: C22/C1C22 ⊆ Out C7×C4○D41124(C7xC4oD4).6C2^2448,359
(C7×C4○D4).7C22 = D4.9D28φ: C22/C1C22 ⊆ Out C7×C4○D41124-(C7xC4oD4).7C2^2448,360
(C7×C4○D4).8C22 = D4.10D28φ: C22/C1C22 ⊆ Out C7×C4○D41124(C7xC4oD4).8C2^2448,361
(C7×C4○D4).9C22 = D85Dic7φ: C22/C1C22 ⊆ Out C7×C4○D41124(C7xC4oD4).9C2^2448,730
(C7×C4○D4).10C22 = D84Dic7φ: C22/C1C22 ⊆ Out C7×C4○D41124(C7xC4oD4).10C2^2448,731
(C7×C4○D4).11C22 = D2818D4φ: C22/C1C22 ⊆ Out C7×C4○D4568+(C7xC4oD4).11C2^2448,732
(C7×C4○D4).12C22 = M4(2).D14φ: C22/C1C22 ⊆ Out C7×C4○D41128+(C7xC4oD4).12C2^2448,733
(C7×C4○D4).13C22 = M4(2).13D14φ: C22/C1C22 ⊆ Out C7×C4○D41128-(C7xC4oD4).13C2^2448,734
(C7×C4○D4).14C22 = D28.38D4φ: C22/C1C22 ⊆ Out C7×C4○D41128-(C7xC4oD4).14C2^2448,735
(C7×C4○D4).15C22 = D28.39D4φ: C22/C1C22 ⊆ Out C7×C4○D41128+(C7xC4oD4).15C2^2448,736
(C7×C4○D4).16C22 = M4(2).15D14φ: C22/C1C22 ⊆ Out C7×C4○D41128+(C7xC4oD4).16C2^2448,737
(C7×C4○D4).17C22 = M4(2).16D14φ: C22/C1C22 ⊆ Out C7×C4○D42248-(C7xC4oD4).17C2^2448,738
(C7×C4○D4).18C22 = D28.40D4φ: C22/C1C22 ⊆ Out C7×C4○D41128-(C7xC4oD4).18C2^2448,739
(C7×C4○D4).19C22 = 2+ 1+4⋊D7φ: C22/C1C22 ⊆ Out C7×C4○D4568+(C7xC4oD4).19C2^2448,775
(C7×C4○D4).20C22 = 2+ 1+4.D7φ: C22/C1C22 ⊆ Out C7×C4○D41128-(C7xC4oD4).20C2^2448,776
(C7×C4○D4).21C22 = 2- 1+4⋊D7φ: C22/C1C22 ⊆ Out C7×C4○D41128+(C7xC4oD4).21C2^2448,779
(C7×C4○D4).22C22 = 2- 1+4.D7φ: C22/C1C22 ⊆ Out C7×C4○D41128-(C7xC4oD4).22C2^2448,780
(C7×C4○D4).23C22 = D8.10D14φ: C22/C1C22 ⊆ Out C7×C4○D42244-(C7xC4oD4).23C2^2448,1224
(C7×C4○D4).24C22 = SD16⋊D14φ: C22/C1C22 ⊆ Out C7×C4○D41128-(C7xC4oD4).24C2^2448,1226
(C7×C4○D4).25C22 = D7×C8.C22φ: C22/C1C22 ⊆ Out C7×C4○D41128-(C7xC4oD4).25C2^2448,1229
(C7×C4○D4).26C22 = D56⋊C22φ: C22/C1C22 ⊆ Out C7×C4○D41128+(C7xC4oD4).26C2^2448,1230
(C7×C4○D4).27C22 = C56.C23φ: C22/C1C22 ⊆ Out C7×C4○D41128+(C7xC4oD4).27C2^2448,1231
(C7×C4○D4).28C22 = D28.44D4φ: C22/C1C22 ⊆ Out C7×C4○D42248-(C7xC4oD4).28C2^2448,1232
(C7×C4○D4).29C22 = D28.33C23φ: C22/C1C22 ⊆ Out C7×C4○D41128-(C7xC4oD4).29C2^2448,1289
(C7×C4○D4).30C22 = D28.35C23φ: C22/C1C22 ⊆ Out C7×C4○D42248-(C7xC4oD4).30C2^2448,1291
(C7×C4○D4).31C22 = C7×D44D4φ: C22/C1C22 ⊆ Out C7×C4○D4564(C7xC4oD4).31C2^2448,861
(C7×C4○D4).32C22 = C7×D4.8D4φ: C22/C1C22 ⊆ Out C7×C4○D41124(C7xC4oD4).32C2^2448,862
(C7×C4○D4).33C22 = C7×D4.9D4φ: C22/C1C22 ⊆ Out C7×C4○D41124(C7xC4oD4).33C2^2448,863
(C7×C4○D4).34C22 = C7×D4.10D4φ: C22/C1C22 ⊆ Out C7×C4○D41124(C7xC4oD4).34C2^2448,864
(C7×C4○D4).35C22 = C7×Q8○D8φ: C22/C1C22 ⊆ Out C7×C4○D42244(C7xC4oD4).35C2^2448,1361
(C7×C4○D4).36C22 = D4.3D28φ: C22/C2C2 ⊆ Out C7×C4○D41124(C7xC4oD4).36C2^2448,675
(C7×C4○D4).37C22 = D4.4D28φ: C22/C2C2 ⊆ Out C7×C4○D41124+(C7xC4oD4).37C2^2448,676
(C7×C4○D4).38C22 = D4.5D28φ: C22/C2C2 ⊆ Out C7×C4○D42244-(C7xC4oD4).38C2^2448,677
(C7×C4○D4).39C22 = C56.93D4φ: C22/C2C2 ⊆ Out C7×C4○D41124(C7xC4oD4).39C2^2448,678
(C7×C4○D4).40C22 = C56.50D4φ: C22/C2C2 ⊆ Out C7×C4○D41124(C7xC4oD4).40C2^2448,679
(C7×C4○D4).41C22 = C2×D42Dic7φ: C22/C2C2 ⊆ Out C7×C4○D4112(C7xC4oD4).41C2^2448,769
(C7×C4○D4).42C22 = (D4×C14)⋊9C4φ: C22/C2C2 ⊆ Out C7×C4○D41124(C7xC4oD4).42C2^2448,770
(C7×C4○D4).43C22 = D7×C8○D4φ: C22/C2C2 ⊆ Out C7×C4○D41124(C7xC4oD4).43C2^2448,1202
(C7×C4○D4).44C22 = C56.49C23φ: C22/C2C2 ⊆ Out C7×C4○D41124(C7xC4oD4).44C2^2448,1203
(C7×C4○D4).45C22 = D4.11D28φ: C22/C2C2 ⊆ Out C7×C4○D41124(C7xC4oD4).45C2^2448,1204
(C7×C4○D4).46C22 = D4.12D28φ: C22/C2C2 ⊆ Out C7×C4○D41124+(C7xC4oD4).46C2^2448,1205
(C7×C4○D4).47C22 = D4.13D28φ: C22/C2C2 ⊆ Out C7×C4○D42244-(C7xC4oD4).47C2^2448,1206
(C7×C4○D4).48C22 = C2×Q8.Dic7φ: C22/C2C2 ⊆ Out C7×C4○D4224(C7xC4oD4).48C2^2448,1271
(C7×C4○D4).49C22 = C28.76C24φ: C22/C2C2 ⊆ Out C7×C4○D41124(C7xC4oD4).49C2^2448,1272
(C7×C4○D4).50C22 = C2×D4.9D14φ: C22/C2C2 ⊆ Out C7×C4○D4224(C7xC4oD4).50C2^2448,1276
(C7×C4○D4).51C22 = C14×C4≀C2φ: C22/C2C2 ⊆ Out C7×C4○D4112(C7xC4oD4).51C2^2448,828
(C7×C4○D4).52C22 = C7×C42⋊C22φ: C22/C2C2 ⊆ Out C7×C4○D41124(C7xC4oD4).52C2^2448,829
(C7×C4○D4).53C22 = C7×C8○D8φ: C22/C2C2 ⊆ Out C7×C4○D41122(C7xC4oD4).53C2^2448,851
(C7×C4○D4).54C22 = C7×C8.26D4φ: C22/C2C2 ⊆ Out C7×C4○D41124(C7xC4oD4).54C2^2448,852
(C7×C4○D4).55C22 = C7×D4.3D4φ: C22/C2C2 ⊆ Out C7×C4○D41124(C7xC4oD4).55C2^2448,879
(C7×C4○D4).56C22 = C7×D4.4D4φ: C22/C2C2 ⊆ Out C7×C4○D41124(C7xC4oD4).56C2^2448,880
(C7×C4○D4).57C22 = C7×D4.5D4φ: C22/C2C2 ⊆ Out C7×C4○D42244(C7xC4oD4).57C2^2448,881
(C7×C4○D4).58C22 = C14×C8.C22φ: C22/C2C2 ⊆ Out C7×C4○D4224(C7xC4oD4).58C2^2448,1357
(C7×C4○D4).59C22 = C14×C8○D4φ: trivial image224(C7xC4oD4).59C2^2448,1350
(C7×C4○D4).60C22 = C7×Q8○M4(2)φ: trivial image1124(C7xC4oD4).60C2^2448,1351

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