# Extensions 1→N→G→Q→1 with N=C22×D7 and Q=D4

Direct product G=N×Q with N=C22×D7 and Q=D4
dρLabelID
C22×D4×D7112C2^2xD4xD7448,1369

Semidirect products G=N:Q with N=C22×D7 and Q=D4
extensionφ:Q→Out NdρLabelID
(C22×D7)⋊1D4 = C23⋊D28φ: D4/C1D4 ⊆ Out C22×D7568+(C2^2xD7):1D4448,275
(C22×D7)⋊2D4 = C24⋊D14φ: D4/C1D4 ⊆ Out C22×D7564(C2^2xD7):2D4448,566
(C22×D7)⋊3D4 = (C2×C28)⋊5D4φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7):3D4448,205
(C22×D7)⋊4D4 = C232D28φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7):4D4448,494
(C22×D7)⋊5D4 = C24.21D14φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7):5D4448,757
(C22×D7)⋊6D4 = C242D14φ: D4/C2C22 ⊆ Out C22×D7112(C2^2xD7):6D4448,1042
(C22×D7)⋊7D4 = C14.372+ 1+4φ: D4/C2C22 ⊆ Out C22×D7112(C2^2xD7):7D4448,1058
(C22×D7)⋊8D4 = C14.1202+ 1+4φ: D4/C2C22 ⊆ Out C22×D7112(C2^2xD7):8D4448,1106
(C22×D7)⋊9D4 = C2×D14⋊D4φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7):9D4448,942
(C22×D7)⋊10D4 = C2×C4⋊D28φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7):10D4448,959
(C22×D7)⋊11D4 = D7×C4⋊D4φ: D4/C4C2 ⊆ Out C22×D7112(C2^2xD7):11D4448,1057
(C22×D7)⋊12D4 = C2×C282D4φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7):12D4448,1253
(C22×D7)⋊13D4 = C2×C22⋊D28φ: D4/C22C2 ⊆ Out C22×D7112(C2^2xD7):13D4448,940
(C22×D7)⋊14D4 = D7×C22≀C2φ: D4/C22C2 ⊆ Out C22×D756(C2^2xD7):14D4448,1041
(C22×D7)⋊15D4 = C2×C23⋊D14φ: D4/C22C2 ⊆ Out C22×D7112(C2^2xD7):15D4448,1252

Non-split extensions G=N.Q with N=C22×D7 and Q=D4
extensionφ:Q→Out NdρLabelID
(C22×D7).1D4 = C23.5D28φ: D4/C1D4 ⊆ Out C22×D71128-(C2^2xD7).1D4448,276
(C22×D7).2D4 = D44D28φ: D4/C1D4 ⊆ Out C22×D7564+(C2^2xD7).2D4448,356
(C22×D7).3D4 = M4(2)⋊D14φ: D4/C1D4 ⊆ Out C22×D71124(C2^2xD7).3D4448,359
(C22×D7).4D4 = C22⋊C4⋊D14φ: D4/C1D4 ⊆ Out C22×D71124(C2^2xD7).4D4448,587
(C22×D7).5D4 = D2818D4φ: D4/C1D4 ⊆ Out C22×D7568+(C2^2xD7).5D4448,732
(C22×D7).6D4 = D28.39D4φ: D4/C1D4 ⊆ Out C22×D71128+(C2^2xD7).6D4448,736
(C22×D7).7D4 = (C2×Dic7)⋊3D4φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).7D4448,206
(C22×D7).8D4 = (C2×C4).21D28φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).8D4448,208
(C22×D7).9D4 = (C22×D7).9D4φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).9D4448,209
(C22×D7).10D4 = D7×C23⋊C4φ: D4/C2C22 ⊆ Out C22×D7568+(C2^2xD7).10D4448,277
(C22×D7).11D4 = C8⋊Dic7⋊C2φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).11D4448,313
(C22×D7).12D4 = C7⋊C81D4φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).12D4448,314
(C22×D7).13D4 = D43D28φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).13D4448,315
(C22×D7).14D4 = C7⋊C8⋊D4φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).14D4448,316
(C22×D7).15D4 = D4.D28φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).15D4448,317
(C22×D7).16D4 = C561C4⋊C2φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).16D4448,318
(C22×D7).17D4 = Q8.D28φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).17D4448,344
(C22×D7).18D4 = D284D4φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).18D4448,345
(C22×D7).19D4 = C7⋊(C8⋊D4)φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).19D4448,346
(C22×D7).20D4 = D14⋊C8.C2φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).20D4448,348
(C22×D7).21D4 = (C2×C8).D14φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).21D4448,349
(C22×D7).22D4 = C7⋊C8.D4φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).22D4448,350
(C22×D7).23D4 = C42⋊D14φ: D4/C2C22 ⊆ Out C22×D71124(C2^2xD7).23D4448,355
(C22×D7).24D4 = C567D4φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).24D4448,399
(C22×D7).25D4 = C4.Q8⋊D7φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).25D4448,400
(C22×D7).26D4 = C28.(C4○D4)φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).26D4448,401
(C22×D7).27D4 = C8.2D28φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).27D4448,402
(C22×D7).28D4 = C2.D8⋊D7φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).28D4448,419
(C22×D7).29D4 = C83D28φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).29D4448,420
(C22×D7).30D4 = C2.D87D7φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).30D4448,422
(C22×D7).31D4 = C24.14D14φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).31D4448,493
(C22×D7).32D4 = C23.16D28φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).32D4448,495
(C22×D7).33D4 = (C2×C4)⋊3D28φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).33D4448,525
(C22×D7).34D4 = (C2×C28).290D4φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).34D4448,527
(C22×D7).35D4 = Dic14⋊D4φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).35D4448,692
(C22×D7).36D4 = C5612D4φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).36D4448,693
(C22×D7).37D4 = D287D4φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).37D4448,706
(C22×D7).38D4 = Dic14.16D4φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).38D4448,707
(C22×D7).39D4 = C568D4φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).39D4448,708
(C22×D7).40D4 = D28.17D4φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).40D4448,721
(C22×D7).41D4 = C56.36D4φ: D4/C2C22 ⊆ Out C22×D7224(C2^2xD7).41D4448,723
(C22×D7).42D4 = D810D14φ: D4/C2C22 ⊆ Out C22×D71124(C2^2xD7).42D4448,1221
(C22×D7).43D4 = SD16⋊D14φ: D4/C2C22 ⊆ Out C22×D71128-(C2^2xD7).43D4448,1226
(C22×D7).44D4 = D56⋊C22φ: D4/C2C22 ⊆ Out C22×D71128+(C2^2xD7).44D4448,1230
(C22×D7).45D4 = D14⋊(C4⋊C4)φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7).45D4448,201
(C22×D7).46D4 = D42D7⋊C4φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7).46D4448,306
(C22×D7).47D4 = D14⋊D8φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7).47D4448,309
(C22×D7).48D4 = D14⋊SD16φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7).48D4448,312
(C22×D7).49D4 = Q82D7⋊C4φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7).49D4448,338
(C22×D7).50D4 = D142SD16φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7).50D4448,341
(C22×D7).51D4 = D14⋊Q16φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7).51D4448,347
(C22×D7).52D4 = (C8×D7)⋊C4φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7).52D4448,394
(C22×D7).53D4 = C88D28φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7).53D4448,398
(C22×D7).54D4 = C8.27(C4×D7)φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7).54D4448,414
(C22×D7).55D4 = C87D28φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7).55D4448,417
(C22×D7).56D4 = D142Q16φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7).56D4448,421
(C22×D7).57D4 = C4⋊(D14⋊C4)φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7).57D4448,521
(C22×D7).58D4 = C566D4φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7).58D4448,691
(C22×D7).59D4 = C5614D4φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7).59D4448,705
(C22×D7).60D4 = D143Q16φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7).60D4448,722
(C22×D7).61D4 = C2×D83D7φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7).61D4448,1209
(C22×D7).62D4 = C2×SD163D7φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7).62D4448,1214
(C22×D7).63D4 = C2×Q8.D14φ: D4/C4C2 ⊆ Out C22×D7224(C2^2xD7).63D4448,1218
(C22×D7).64D4 = D7×C4○D8φ: D4/C4C2 ⊆ Out C22×D71124(C2^2xD7).64D4448,1220
(C22×D7).65D4 = C22.58(D4×D7)φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).65D4448,198
(C22×D7).66D4 = (C2×C4)⋊9D28φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).66D4448,199
(C22×D7).67D4 = D14⋊C4⋊C4φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).67D4448,202
(C22×D7).68D4 = (D4×D7)⋊C4φ: D4/C22C2 ⊆ Out C22×D7112(C2^2xD7).68D4448,304
(C22×D7).69D4 = D4⋊(C4×D7)φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).69D4448,305
(C22×D7).70D4 = D4⋊D28φ: D4/C22C2 ⊆ Out C22×D7112(C2^2xD7).70D4448,307
(C22×D7).71D4 = D14.D8φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).71D4448,308
(C22×D7).72D4 = D4.6D28φ: D4/C22C2 ⊆ Out C22×D7112(C2^2xD7).72D4448,310
(C22×D7).73D4 = D14.SD16φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).73D4448,311
(C22×D7).74D4 = (Q8×D7)⋊C4φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).74D4448,336
(C22×D7).75D4 = Q8⋊(C4×D7)φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).75D4448,337
(C22×D7).76D4 = D14.1SD16φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).76D4448,339
(C22×D7).77D4 = Q82D28φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).77D4448,340
(C22×D7).78D4 = D144Q16φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).78D4448,342
(C22×D7).79D4 = D14.Q16φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).79D4448,343
(C22×D7).80D4 = D7×C4≀C2φ: D4/C22C2 ⊆ Out C22×D7564(C2^2xD7).80D4448,354
(C22×D7).81D4 = C8⋊(C4×D7)φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).81D4448,395
(C22×D7).82D4 = D14.2SD16φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).82D4448,396
(C22×D7).83D4 = D14.4SD16φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).83D4448,397
(C22×D7).84D4 = C56⋊(C2×C4)φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).84D4448,415
(C22×D7).85D4 = D14.5D8φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).85D4448,416
(C22×D7).86D4 = D14.2Q16φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).86D4448,418
(C22×D7).87D4 = C23.44D28φ: D4/C22C2 ⊆ Out C22×D7112(C2^2xD7).87D4448,489
(C22×D7).88D4 = C24.12D14φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).88D4448,490
(C22×D7).89D4 = D14⋊C46C4φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).89D4448,523
(C22×D7).90D4 = D28⋊D4φ: D4/C22C2 ⊆ Out C22×D7112(C2^2xD7).90D4448,690
(C22×D7).91D4 = D146SD16φ: D4/C22C2 ⊆ Out C22×D7112(C2^2xD7).91D4448,703
(C22×D7).92D4 = Dic147D4φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).92D4448,704
(C22×D7).93D4 = D145Q16φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).93D4448,720
(C22×D7).94D4 = C2×D14.D4φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).94D4448,941
(C22×D7).95D4 = C2×D14.5D4φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).95D4448,958
(C22×D7).96D4 = D7×C22.D4φ: D4/C22C2 ⊆ Out C22×D7112(C2^2xD7).96D4448,1105
(C22×D7).97D4 = C2×D8⋊D7φ: D4/C22C2 ⊆ Out C22×D7112(C2^2xD7).97D4448,1208
(C22×D7).98D4 = C2×D56⋊C2φ: D4/C22C2 ⊆ Out C22×D7112(C2^2xD7).98D4448,1212
(C22×D7).99D4 = C2×SD16⋊D7φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).99D4448,1213
(C22×D7).100D4 = C2×Q16⋊D7φ: D4/C22C2 ⊆ Out C22×D7224(C2^2xD7).100D4448,1217
(C22×D7).101D4 = D7×C8⋊C22φ: D4/C22C2 ⊆ Out C22×D7568+(C2^2xD7).101D4448,1225
(C22×D7).102D4 = D7×C8.C22φ: D4/C22C2 ⊆ Out C22×D71128-(C2^2xD7).102D4448,1229
(C22×D7).103D4 = D7×C2.C42φ: trivial image224(C2^2xD7).103D4448,197
(C22×D7).104D4 = D7×D4⋊C4φ: trivial image112(C2^2xD7).104D4448,303
(C22×D7).105D4 = D7×Q8⋊C4φ: trivial image224(C2^2xD7).105D4448,335
(C22×D7).106D4 = D7×C4.Q8φ: trivial image224(C2^2xD7).106D4448,393
(C22×D7).107D4 = D7×C2.D8φ: trivial image224(C2^2xD7).107D4448,413
(C22×D7).108D4 = C2×D7×C22⋊C4φ: trivial image112(C2^2xD7).108D4448,937
(C22×D7).109D4 = C2×D7×C4⋊C4φ: trivial image224(C2^2xD7).109D4448,954
(C22×D7).110D4 = C2×D7×D8φ: trivial image112(C2^2xD7).110D4448,1207
(C22×D7).111D4 = C2×D7×SD16φ: trivial image112(C2^2xD7).111D4448,1211
(C22×D7).112D4 = C2×D7×Q16φ: trivial image224(C2^2xD7).112D4448,1216

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