# Extensions 1→N→G→Q→1 with N=C22×C4 and Q=C2×C14

Direct product G=N×Q with N=C22×C4 and Q=C2×C14
dρLabelID
C24×C28448C2^4xC28448,1385

Semidirect products G=N:Q with N=C22×C4 and Q=C2×C14
extensionφ:Q→Aut NdρLabelID
(C22×C4)⋊1(C2×C14) = C7×C243C4φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4):1(C2xC14)448,787
(C22×C4)⋊2(C2×C14) = C7×C23.7D4φ: C2×C14/C7C22 ⊆ Aut C22×C41124(C2^2xC4):2(C2xC14)448,866
(C22×C4)⋊3(C2×C14) = C7×C22.11C24φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4):3(C2xC14)448,1301
(C22×C4)⋊4(C2×C14) = C7×C22.45C24φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4):4(C2xC14)448,1334
(C22×C4)⋊5(C2×C14) = C14×C22≀C2φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4):5(C2xC14)448,1304
(C22×C4)⋊6(C2×C14) = C7×C22.19C24φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4):6(C2xC14)448,1308
(C22×C4)⋊7(C2×C14) = C7×C233D4φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4):7(C2xC14)448,1317
(C22×C4)⋊8(C2×C14) = C7×C22.29C24φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4):8(C2xC14)448,1318
(C22×C4)⋊9(C2×C14) = C7×C22.32C24φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4):9(C2xC14)448,1321
(C22×C4)⋊10(C2×C14) = C7×D42φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4):10(C2xC14)448,1328
(C22×C4)⋊11(C2×C14) = C7×D45D4φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4):11(C2xC14)448,1329
(C22×C4)⋊12(C2×C14) = C7×C22.54C24φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4):12(C2xC14)448,1343
(C22×C4)⋊13(C2×C14) = C14×2+ 1+4φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4):13(C2xC14)448,1389
(C22×C4)⋊14(C2×C14) = C7×C2.C25φ: C2×C14/C7C22 ⊆ Aut C22×C41124(C2^2xC4):14(C2xC14)448,1391
(C22×C4)⋊15(C2×C14) = C22⋊C4×C2×C14φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4):15(C2xC14)448,1295
(C22×C4)⋊16(C2×C14) = D4×C2×C28φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4):16(C2xC14)448,1298
(C22×C4)⋊17(C2×C14) = C14×C22.D4φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4):17(C2xC14)448,1307
(C22×C4)⋊18(C2×C14) = C14×C4⋊D4φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4):18(C2xC14)448,1305
(C22×C4)⋊19(C2×C14) = D4×C22×C14φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4):19(C2xC14)448,1386
(C22×C4)⋊20(C2×C14) = C4○D4×C2×C14φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4):20(C2xC14)448,1388

Non-split extensions G=N.Q with N=C22×C4 and Q=C2×C14
extensionφ:Q→Aut NdρLabelID
(C22×C4).1(C2×C14) = C7×C23⋊C8φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4).1(C2xC14)448,127
(C22×C4).2(C2×C14) = C7×C22.M4(2)φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).2(C2xC14)448,128
(C22×C4).3(C2×C14) = C7×C23.34D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).3(C2xC14)448,789
(C22×C4).4(C2×C14) = C7×C232D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).4(C2xC14)448,800
(C22×C4).5(C2×C14) = C7×C23⋊Q8φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).5(C2xC14)448,801
(C22×C4).6(C2×C14) = C7×C23.10D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).6(C2xC14)448,802
(C22×C4).7(C2×C14) = C7×C23.Q8φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).7(C2xC14)448,804
(C22×C4).8(C2×C14) = C7×C23.11D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).8(C2xC14)448,805
(C22×C4).9(C2×C14) = C7×C23.83C23φ: C2×C14/C7C22 ⊆ Aut C22×C4448(C2^2xC4).9(C2xC14)448,808
(C22×C4).10(C2×C14) = C7×C23.84C23φ: C2×C14/C7C22 ⊆ Aut C22×C4448(C2^2xC4).10(C2xC14)448,809
(C22×C4).11(C2×C14) = C7×C23.33C23φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).11(C2xC14)448,1303
(C22×C4).12(C2×C14) = C7×C22.47C24φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).12(C2xC14)448,1336
(C22×C4).13(C2×C14) = C7×C22.53C24φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).13(C2xC14)448,1342
(C22×C4).14(C2×C14) = C7×C22.SD16φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4).14(C2xC14)448,131
(C22×C4).15(C2×C14) = C7×C23.31D4φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4).15(C2xC14)448,132
(C22×C4).16(C2×C14) = C7×C4.9C42φ: C2×C14/C7C22 ⊆ Aut C22×C41124(C2^2xC4).16(C2xC14)448,141
(C22×C4).17(C2×C14) = C7×C4.10C42φ: C2×C14/C7C22 ⊆ Aut C22×C41124(C2^2xC4).17(C2xC14)448,142
(C22×C4).18(C2×C14) = C7×C22.C42φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).18(C2xC14)448,147
(C22×C4).19(C2×C14) = C7×M4(2)⋊4C4φ: C2×C14/C7C22 ⊆ Aut C22×C41124(C2^2xC4).19(C2xC14)448,148
(C22×C4).20(C2×C14) = C7×C23.63C23φ: C2×C14/C7C22 ⊆ Aut C22×C4448(C2^2xC4).20(C2xC14)448,795
(C22×C4).21(C2×C14) = C7×C23.78C23φ: C2×C14/C7C22 ⊆ Aut C22×C4448(C2^2xC4).21(C2xC14)448,803
(C22×C4).22(C2×C14) = C7×C23.81C23φ: C2×C14/C7C22 ⊆ Aut C22×C4448(C2^2xC4).22(C2xC14)448,806
(C22×C4).23(C2×C14) = C7×C23.4Q8φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).23(C2xC14)448,807
(C22×C4).24(C2×C14) = C7×(C22×C8)⋊C2φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).24(C2xC14)448,816
(C22×C4).25(C2×C14) = C7×C23.C23φ: C2×C14/C7C22 ⊆ Aut C22×C41124(C2^2xC4).25(C2xC14)448,818
(C22×C4).26(C2×C14) = C14×C4.D4φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4).26(C2xC14)448,819
(C22×C4).27(C2×C14) = C14×C4.10D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).27(C2xC14)448,820
(C22×C4).28(C2×C14) = C7×M4(2).8C22φ: C2×C14/C7C22 ⊆ Aut C22×C41124(C2^2xC4).28(C2xC14)448,821
(C22×C4).29(C2×C14) = C7×C23.36D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).29(C2xC14)448,825
(C22×C4).30(C2×C14) = C7×C23.37D4φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4).30(C2xC14)448,826
(C22×C4).31(C2×C14) = C7×C23.38D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).31(C2xC14)448,827
(C22×C4).32(C2×C14) = C7×C42⋊C22φ: C2×C14/C7C22 ⊆ Aut C22×C41124(C2^2xC4).32(C2xC14)448,829
(C22×C4).33(C2×C14) = C7×M4(2)⋊C4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).33(C2xC14)448,836
(C22×C4).34(C2×C14) = C7×M4(2).C4φ: C2×C14/C7C22 ⊆ Aut C22×C41124(C2^2xC4).34(C2xC14)448,838
(C22×C4).35(C2×C14) = C7×C42.7C22φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).35(C2xC14)448,841
(C22×C4).36(C2×C14) = C7×C86D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).36(C2xC14)448,844
(C22×C4).37(C2×C14) = C7×C22⋊D8φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4).37(C2xC14)448,855
(C22×C4).38(C2×C14) = C7×Q8⋊D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).38(C2xC14)448,856
(C22×C4).39(C2×C14) = C7×D4⋊D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).39(C2xC14)448,857
(C22×C4).40(C2×C14) = C7×C22⋊SD16φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4).40(C2xC14)448,858
(C22×C4).41(C2×C14) = C7×C22⋊Q16φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).41(C2xC14)448,859
(C22×C4).42(C2×C14) = C7×D4.7D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).42(C2xC14)448,860
(C22×C4).43(C2×C14) = C7×C8⋊D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).43(C2xC14)448,876
(C22×C4).44(C2×C14) = C7×C82D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).44(C2xC14)448,877
(C22×C4).45(C2×C14) = C7×C8.D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).45(C2xC14)448,878
(C22×C4).46(C2×C14) = C7×C22.D8φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).46(C2xC14)448,888
(C22×C4).47(C2×C14) = C7×C23.46D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).47(C2xC14)448,889
(C22×C4).48(C2×C14) = C7×C23.19D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).48(C2xC14)448,890
(C22×C4).49(C2×C14) = C7×C23.47D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).49(C2xC14)448,891
(C22×C4).50(C2×C14) = C7×C23.48D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).50(C2xC14)448,892
(C22×C4).51(C2×C14) = C7×C23.20D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).51(C2xC14)448,893
(C22×C4).52(C2×C14) = C7×C23.32C23φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).52(C2xC14)448,1302
(C22×C4).53(C2×C14) = C14×C22⋊Q8φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).53(C2xC14)448,1306
(C22×C4).54(C2×C14) = C7×C23.36C23φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).54(C2xC14)448,1312
(C22×C4).55(C2×C14) = C14×C4⋊Q8φ: C2×C14/C7C22 ⊆ Aut C22×C4448(C2^2xC4).55(C2xC14)448,1314
(C22×C4).56(C2×C14) = C7×C22.26C24φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).56(C2xC14)448,1315
(C22×C4).57(C2×C14) = C7×C23.38C23φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).57(C2xC14)448,1319
(C22×C4).58(C2×C14) = C7×C22.31C24φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).58(C2xC14)448,1320
(C22×C4).59(C2×C14) = C7×C22.33C24φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).59(C2xC14)448,1322
(C22×C4).60(C2×C14) = C7×C22.34C24φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).60(C2xC14)448,1323
(C22×C4).61(C2×C14) = C7×C22.35C24φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).61(C2xC14)448,1324
(C22×C4).62(C2×C14) = C7×C22.36C24φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).62(C2xC14)448,1325
(C22×C4).63(C2×C14) = C7×C232Q8φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4).63(C2xC14)448,1326
(C22×C4).64(C2×C14) = C7×C23.41C23φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).64(C2xC14)448,1327
(C22×C4).65(C2×C14) = C7×D46D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).65(C2xC14)448,1330
(C22×C4).66(C2×C14) = C7×Q85D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).66(C2xC14)448,1331
(C22×C4).67(C2×C14) = C7×D4×Q8φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).67(C2xC14)448,1332
(C22×C4).68(C2×C14) = C7×Q86D4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).68(C2xC14)448,1333
(C22×C4).69(C2×C14) = C7×C22.46C24φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).69(C2xC14)448,1335
(C22×C4).70(C2×C14) = C7×D43Q8φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).70(C2xC14)448,1337
(C22×C4).71(C2×C14) = C7×C22.49C24φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).71(C2xC14)448,1338
(C22×C4).72(C2×C14) = C7×C22.50C24φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).72(C2xC14)448,1339
(C22×C4).73(C2×C14) = C7×C22.56C24φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).73(C2xC14)448,1345
(C22×C4).74(C2×C14) = C7×C22.57C24φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).74(C2xC14)448,1346
(C22×C4).75(C2×C14) = C7×Q8○M4(2)φ: C2×C14/C7C22 ⊆ Aut C22×C41124(C2^2xC4).75(C2xC14)448,1351
(C22×C4).76(C2×C14) = C14×C8⋊C22φ: C2×C14/C7C22 ⊆ Aut C22×C4112(C2^2xC4).76(C2xC14)448,1356
(C22×C4).77(C2×C14) = C14×C8.C22φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).77(C2xC14)448,1357
(C22×C4).78(C2×C14) = C7×D8⋊C22φ: C2×C14/C7C22 ⊆ Aut C22×C41124(C2^2xC4).78(C2xC14)448,1358
(C22×C4).79(C2×C14) = C14×2- 1+4φ: C2×C14/C7C22 ⊆ Aut C22×C4224(C2^2xC4).79(C2xC14)448,1390
(C22×C4).80(C2×C14) = C14×C2.C42φ: C2×C14/C14C2 ⊆ Aut C22×C4448(C2^2xC4).80(C2xC14)448,783
(C22×C4).81(C2×C14) = C7×C424C4φ: C2×C14/C14C2 ⊆ Aut C22×C4448(C2^2xC4).81(C2xC14)448,784
(C22×C4).82(C2×C14) = C22⋊C4×C28φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).82(C2xC14)448,785
(C22×C4).83(C2×C14) = C4⋊C4×C28φ: C2×C14/C14C2 ⊆ Aut C22×C4448(C2^2xC4).83(C2xC14)448,786
(C22×C4).84(C2×C14) = C7×C23.7Q8φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).84(C2xC14)448,788
(C22×C4).85(C2×C14) = C7×C425C4φ: C2×C14/C14C2 ⊆ Aut C22×C4448(C2^2xC4).85(C2xC14)448,791
(C22×C4).86(C2×C14) = C7×C23.8Q8φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).86(C2xC14)448,793
(C22×C4).87(C2×C14) = C7×C23.23D4φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).87(C2xC14)448,794
(C22×C4).88(C2×C14) = C7×C24.C22φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).88(C2xC14)448,796
(C22×C4).89(C2×C14) = C7×C23.65C23φ: C2×C14/C14C2 ⊆ Aut C22×C4448(C2^2xC4).89(C2xC14)448,797
(C22×C4).90(C2×C14) = C7×C24.3C22φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).90(C2xC14)448,798
(C22×C4).91(C2×C14) = C7×C23.67C23φ: C2×C14/C14C2 ⊆ Aut C22×C4448(C2^2xC4).91(C2xC14)448,799
(C22×C4).92(C2×C14) = C7×C24.4C4φ: C2×C14/C14C2 ⊆ Aut C22×C4112(C2^2xC4).92(C2xC14)448,815
(C22×C4).93(C2×C14) = C7×C42.12C4φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).93(C2xC14)448,839
(C22×C4).94(C2×C14) = C7×C42.6C4φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).94(C2xC14)448,840
(C22×C4).95(C2×C14) = D4×C56φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).95(C2xC14)448,842
(C22×C4).96(C2×C14) = C7×C89D4φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).96(C2xC14)448,843
(C22×C4).97(C2×C14) = C14×C42⋊C2φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).97(C2xC14)448,1297
(C22×C4).98(C2×C14) = Q8×C2×C28φ: C2×C14/C14C2 ⊆ Aut C22×C4448(C2^2xC4).98(C2xC14)448,1299
(C22×C4).99(C2×C14) = C4○D4×C28φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).99(C2xC14)448,1300
(C22×C4).100(C2×C14) = C14×C4.4D4φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).100(C2xC14)448,1309
(C22×C4).101(C2×C14) = C14×C42.C2φ: C2×C14/C14C2 ⊆ Aut C22×C4448(C2^2xC4).101(C2xC14)448,1310
(C22×C4).102(C2×C14) = C14×C422C2φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).102(C2xC14)448,1311
(C22×C4).103(C2×C14) = C7×C426C4φ: C2×C14/C14C2 ⊆ Aut C22×C4112(C2^2xC4).103(C2xC14)448,143
(C22×C4).104(C2×C14) = C7×C22.4Q16φ: C2×C14/C14C2 ⊆ Aut C22×C4448(C2^2xC4).104(C2xC14)448,144
(C22×C4).105(C2×C14) = C7×C4.C42φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).105(C2xC14)448,145
(C22×C4).106(C2×C14) = C7×C428C4φ: C2×C14/C14C2 ⊆ Aut C22×C4448(C2^2xC4).106(C2xC14)448,790
(C22×C4).107(C2×C14) = C7×C429C4φ: C2×C14/C14C2 ⊆ Aut C22×C4448(C2^2xC4).107(C2xC14)448,792
(C22×C4).108(C2×C14) = M4(2)×C28φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).108(C2xC14)448,812
(C22×C4).109(C2×C14) = C7×C82M4(2)φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).109(C2xC14)448,813
(C22×C4).110(C2×C14) = C14×D4⋊C4φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).110(C2xC14)448,822
(C22×C4).111(C2×C14) = C14×Q8⋊C4φ: C2×C14/C14C2 ⊆ Aut C22×C4448(C2^2xC4).111(C2xC14)448,823
(C22×C4).112(C2×C14) = C7×C23.24D4φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).112(C2xC14)448,824
(C22×C4).113(C2×C14) = C14×C4≀C2φ: C2×C14/C14C2 ⊆ Aut C22×C4112(C2^2xC4).113(C2xC14)448,828
(C22×C4).114(C2×C14) = C7×C4⋊M4(2)φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).114(C2xC14)448,831
(C22×C4).115(C2×C14) = C7×C42.6C22φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).115(C2xC14)448,832
(C22×C4).116(C2×C14) = C14×C4.Q8φ: C2×C14/C14C2 ⊆ Aut C22×C4448(C2^2xC4).116(C2xC14)448,833
(C22×C4).117(C2×C14) = C14×C2.D8φ: C2×C14/C14C2 ⊆ Aut C22×C4448(C2^2xC4).117(C2xC14)448,834
(C22×C4).118(C2×C14) = C7×C23.25D4φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).118(C2xC14)448,835
(C22×C4).119(C2×C14) = C14×C8.C4φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).119(C2xC14)448,837
(C22×C4).120(C2×C14) = C7×C88D4φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).120(C2xC14)448,873
(C22×C4).121(C2×C14) = C7×C87D4φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).121(C2xC14)448,874
(C22×C4).122(C2×C14) = C7×C8.18D4φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).122(C2xC14)448,875
(C22×C4).123(C2×C14) = C4⋊C4×C2×C14φ: C2×C14/C14C2 ⊆ Aut C22×C4448(C2^2xC4).123(C2xC14)448,1296
(C22×C4).124(C2×C14) = C14×C41D4φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).124(C2xC14)448,1313
(C22×C4).125(C2×C14) = C7×C23.37C23φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).125(C2xC14)448,1316
(C22×C4).126(C2×C14) = M4(2)×C2×C14φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).126(C2xC14)448,1349
(C22×C4).127(C2×C14) = C14×C8○D4φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).127(C2xC14)448,1350
(C22×C4).128(C2×C14) = D8×C2×C14φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).128(C2xC14)448,1352
(C22×C4).129(C2×C14) = SD16×C2×C14φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).129(C2xC14)448,1353
(C22×C4).130(C2×C14) = Q16×C2×C14φ: C2×C14/C14C2 ⊆ Aut C22×C4448(C2^2xC4).130(C2xC14)448,1354
(C22×C4).131(C2×C14) = C14×C4○D8φ: C2×C14/C14C2 ⊆ Aut C22×C4224(C2^2xC4).131(C2xC14)448,1355
(C22×C4).132(C2×C14) = Q8×C22×C14φ: C2×C14/C14C2 ⊆ Aut C22×C4448(C2^2xC4).132(C2xC14)448,1387
(C22×C4).133(C2×C14) = C7×C22.7C42central extension (φ=1)448(C2^2xC4).133(C2xC14)448,140
(C22×C4).134(C2×C14) = C14×C8⋊C4central extension (φ=1)448(C2^2xC4).134(C2xC14)448,811
(C22×C4).135(C2×C14) = C14×C22⋊C8central extension (φ=1)224(C2^2xC4).135(C2xC14)448,814
(C22×C4).136(C2×C14) = C14×C4⋊C8central extension (φ=1)448(C2^2xC4).136(C2xC14)448,830

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