Extensions 1→N→G→Q→1 with N=C2xD4 and Q=C2xC14

Direct product G=NxQ with N=C2xD4 and Q=C2xC14
dρLabelID
D4xC22xC14224D4xC2^2xC14448,1386

Semidirect products G=N:Q with N=C2xD4 and Q=C2xC14
extensionφ:Q→Out NdρLabelID
(C2xD4):1(C2xC14) = C7xC22:D8φ: C2xC14/C7C22 ⊆ Out C2xD4112(C2xD4):1(C2xC14)448,855
(C2xD4):2(C2xC14) = C7xD4:4D4φ: C2xC14/C7C22 ⊆ Out C2xD4564(C2xD4):2(C2xC14)448,861
(C2xD4):3(C2xC14) = C7xC23:3D4φ: C2xC14/C7C22 ⊆ Out C2xD4112(C2xD4):3(C2xC14)448,1317
(C2xD4):4(C2xC14) = C7xC22.29C24φ: C2xC14/C7C22 ⊆ Out C2xD4112(C2xD4):4(C2xC14)448,1318
(C2xD4):5(C2xC14) = C7xC22.32C24φ: C2xC14/C7C22 ⊆ Out C2xD4112(C2xD4):5(C2xC14)448,1321
(C2xD4):6(C2xC14) = C7xC22.54C24φ: C2xC14/C7C22 ⊆ Out C2xD4112(C2xD4):6(C2xC14)448,1343
(C2xD4):7(C2xC14) = C7xD4oD8φ: C2xC14/C7C22 ⊆ Out C2xD41124(C2xD4):7(C2xC14)448,1359
(C2xD4):8(C2xC14) = C14xC22wrC2φ: C2xC14/C14C2 ⊆ Out C2xD4112(C2xD4):8(C2xC14)448,1304
(C2xD4):9(C2xC14) = C14xC4:D4φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4):9(C2xC14)448,1305
(C2xD4):10(C2xC14) = C7xC22.19C24φ: C2xC14/C14C2 ⊆ Out C2xD4112(C2xD4):10(C2xC14)448,1308
(C2xD4):11(C2xC14) = C14xC4:1D4φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4):11(C2xC14)448,1313
(C2xD4):12(C2xC14) = C7xD42φ: C2xC14/C14C2 ⊆ Out C2xD4112(C2xD4):12(C2xC14)448,1328
(C2xD4):13(C2xC14) = C7xD4:5D4φ: C2xC14/C14C2 ⊆ Out C2xD4112(C2xD4):13(C2xC14)448,1329
(C2xD4):14(C2xC14) = D8xC2xC14φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4):14(C2xC14)448,1352
(C2xD4):15(C2xC14) = C14xC8:C22φ: C2xC14/C14C2 ⊆ Out C2xD4112(C2xD4):15(C2xC14)448,1356
(C2xD4):16(C2xC14) = C7xD8:C22φ: C2xC14/C14C2 ⊆ Out C2xD41124(C2xD4):16(C2xC14)448,1358
(C2xD4):17(C2xC14) = C14x2+ 1+4φ: C2xC14/C14C2 ⊆ Out C2xD4112(C2xD4):17(C2xC14)448,1389
(C2xD4):18(C2xC14) = C7xC2.C25φ: C2xC14/C14C2 ⊆ Out C2xD41124(C2xD4):18(C2xC14)448,1391
(C2xD4):19(C2xC14) = C4oD4xC2xC14φ: trivial image224(C2xD4):19(C2xC14)448,1388

Non-split extensions G=N.Q with N=C2xD4 and Q=C2xC14
extensionφ:Q→Out NdρLabelID
(C2xD4).1(C2xC14) = C7xC2wrC4φ: C2xC14/C7C22 ⊆ Out C2xD4564(C2xD4).1(C2xC14)448,155
(C2xD4).2(C2xC14) = C7xC23.D4φ: C2xC14/C7C22 ⊆ Out C2xD41124(C2xD4).2(C2xC14)448,156
(C2xD4).3(C2xC14) = C7xC42:C4φ: C2xC14/C7C22 ⊆ Out C2xD4564(C2xD4).3(C2xC14)448,157
(C2xD4).4(C2xC14) = C7xC42:3C4φ: C2xC14/C7C22 ⊆ Out C2xD41124(C2xD4).4(C2xC14)448,158
(C2xD4).5(C2xC14) = C7xQ8:D4φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).5(C2xC14)448,856
(C2xD4).6(C2xC14) = C7xD4.8D4φ: C2xC14/C7C22 ⊆ Out C2xD41124(C2xD4).6(C2xC14)448,862
(C2xD4).7(C2xC14) = C7xD4.9D4φ: C2xC14/C7C22 ⊆ Out C2xD41124(C2xD4).7(C2xC14)448,863
(C2xD4).8(C2xC14) = C7xC2wrC22φ: C2xC14/C7C22 ⊆ Out C2xD4564(C2xD4).8(C2xC14)448,865
(C2xD4).9(C2xC14) = C7xC23.7D4φ: C2xC14/C7C22 ⊆ Out C2xD41124(C2xD4).9(C2xC14)448,866
(C2xD4).10(C2xC14) = C7xC4:SD16φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).10(C2xC14)448,868
(C2xD4).11(C2xC14) = C7xQ8.D4φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).11(C2xC14)448,872
(C2xD4).12(C2xC14) = C7xC8:8D4φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).12(C2xC14)448,873
(C2xD4).13(C2xC14) = C7xC8:7D4φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).13(C2xC14)448,874
(C2xD4).14(C2xC14) = C7xC8:D4φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).14(C2xC14)448,876
(C2xD4).15(C2xC14) = C7xC8:2D4φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).15(C2xC14)448,877
(C2xD4).16(C2xC14) = C7xD4.3D4φ: C2xC14/C7C22 ⊆ Out C2xD41124(C2xD4).16(C2xC14)448,879
(C2xD4).17(C2xC14) = C7xD4.4D4φ: C2xC14/C7C22 ⊆ Out C2xD41124(C2xD4).17(C2xC14)448,880
(C2xD4).18(C2xC14) = C7xC22.D8φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).18(C2xC14)448,888
(C2xD4).19(C2xC14) = C7xC23.46D4φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).19(C2xC14)448,889
(C2xD4).20(C2xC14) = C7xC23.19D4φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).20(C2xC14)448,890
(C2xD4).21(C2xC14) = C7xC4.4D8φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).21(C2xC14)448,894
(C2xD4).22(C2xC14) = C7xC42.78C22φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).22(C2xC14)448,896
(C2xD4).23(C2xC14) = C7xC42.28C22φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).23(C2xC14)448,897
(C2xD4).24(C2xC14) = C7xC42.29C22φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).24(C2xC14)448,898
(C2xD4).25(C2xC14) = C7xC8:5D4φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).25(C2xC14)448,900
(C2xD4).26(C2xC14) = C7xC8:4D4φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).26(C2xC14)448,901
(C2xD4).27(C2xC14) = C7xC8.12D4φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).27(C2xC14)448,903
(C2xD4).28(C2xC14) = C7xC8:3D4φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).28(C2xC14)448,904
(C2xD4).29(C2xC14) = C7xC8.2D4φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).29(C2xC14)448,905
(C2xD4).30(C2xC14) = C7xC22.31C24φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).30(C2xC14)448,1320
(C2xD4).31(C2xC14) = C7xC22.33C24φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).31(C2xC14)448,1322
(C2xD4).32(C2xC14) = C7xC22.34C24φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).32(C2xC14)448,1323
(C2xD4).33(C2xC14) = C7xC22.36C24φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).33(C2xC14)448,1325
(C2xD4).34(C2xC14) = C7xC22.47C24φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).34(C2xC14)448,1336
(C2xD4).35(C2xC14) = C7xC22.49C24φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).35(C2xC14)448,1338
(C2xD4).36(C2xC14) = C7xC24:C22φ: C2xC14/C7C22 ⊆ Out C2xD4112(C2xD4).36(C2xC14)448,1344
(C2xD4).37(C2xC14) = C7xC22.56C24φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).37(C2xC14)448,1345
(C2xD4).38(C2xC14) = C7xC22.57C24φ: C2xC14/C7C22 ⊆ Out C2xD4224(C2xD4).38(C2xC14)448,1346
(C2xD4).39(C2xC14) = C7xD4oSD16φ: C2xC14/C7C22 ⊆ Out C2xD41124(C2xD4).39(C2xC14)448,1360
(C2xD4).40(C2xC14) = C14xC23:C4φ: C2xC14/C14C2 ⊆ Out C2xD4112(C2xD4).40(C2xC14)448,817
(C2xD4).41(C2xC14) = C7xC23.C23φ: C2xC14/C14C2 ⊆ Out C2xD41124(C2xD4).41(C2xC14)448,818
(C2xD4).42(C2xC14) = C14xC4.D4φ: C2xC14/C14C2 ⊆ Out C2xD4112(C2xD4).42(C2xC14)448,819
(C2xD4).43(C2xC14) = C7xM4(2).8C22φ: C2xC14/C14C2 ⊆ Out C2xD41124(C2xD4).43(C2xC14)448,821
(C2xD4).44(C2xC14) = C14xD4:C4φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).44(C2xC14)448,822
(C2xD4).45(C2xC14) = C7xC23.24D4φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).45(C2xC14)448,824
(C2xD4).46(C2xC14) = C7xC23.36D4φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).46(C2xC14)448,825
(C2xD4).47(C2xC14) = C7xC23.37D4φ: C2xC14/C14C2 ⊆ Out C2xD4112(C2xD4).47(C2xC14)448,826
(C2xD4).48(C2xC14) = D8xC28φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).48(C2xC14)448,845
(C2xD4).49(C2xC14) = SD16xC28φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).49(C2xC14)448,846
(C2xD4).50(C2xC14) = C7xSD16:C4φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).50(C2xC14)448,848
(C2xD4).51(C2xC14) = C7xD8:C4φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).51(C2xC14)448,850
(C2xD4).52(C2xC14) = C7xD4:D4φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).52(C2xC14)448,857
(C2xD4).53(C2xC14) = C7xC22:SD16φ: C2xC14/C14C2 ⊆ Out C2xD4112(C2xD4).53(C2xC14)448,858
(C2xD4).54(C2xC14) = C7xD4.7D4φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).54(C2xC14)448,860
(C2xD4).55(C2xC14) = C7xC4:D8φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).55(C2xC14)448,867
(C2xD4).56(C2xC14) = C7xD4.D4φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).56(C2xC14)448,869
(C2xD4).57(C2xC14) = C7xD4.2D4φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).57(C2xC14)448,871
(C2xD4).58(C2xC14) = C7xD4:Q8φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).58(C2xC14)448,882
(C2xD4).59(C2xC14) = C7xD4:2Q8φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).59(C2xC14)448,884
(C2xD4).60(C2xC14) = C7xD4.Q8φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).60(C2xC14)448,886
(C2xD4).61(C2xC14) = C14xC22.D4φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).61(C2xC14)448,1307
(C2xD4).62(C2xC14) = C14xC4.4D4φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).62(C2xC14)448,1309
(C2xD4).63(C2xC14) = C7xC23.36C23φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).63(C2xC14)448,1312
(C2xD4).64(C2xC14) = C7xC22.26C24φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).64(C2xC14)448,1315
(C2xD4).65(C2xC14) = C7xC23.38C23φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).65(C2xC14)448,1319
(C2xD4).66(C2xC14) = C7xD4:6D4φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).66(C2xC14)448,1330
(C2xD4).67(C2xC14) = C7xQ8:5D4φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).67(C2xC14)448,1331
(C2xD4).68(C2xC14) = C7xQ8:6D4φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).68(C2xC14)448,1333
(C2xD4).69(C2xC14) = C7xC22.45C24φ: C2xC14/C14C2 ⊆ Out C2xD4112(C2xD4).69(C2xC14)448,1334
(C2xD4).70(C2xC14) = C7xC22.46C24φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).70(C2xC14)448,1335
(C2xD4).71(C2xC14) = C7xC22.50C24φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).71(C2xC14)448,1339
(C2xD4).72(C2xC14) = C7xC22.53C24φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).72(C2xC14)448,1342
(C2xD4).73(C2xC14) = SD16xC2xC14φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).73(C2xC14)448,1353
(C2xD4).74(C2xC14) = C14xC4oD8φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).74(C2xC14)448,1355
(C2xD4).75(C2xC14) = C14xC8.C22φ: C2xC14/C14C2 ⊆ Out C2xD4224(C2xD4).75(C2xC14)448,1357
(C2xD4).76(C2xC14) = D4xC2xC28φ: trivial image224(C2xD4).76(C2xC14)448,1298
(C2xD4).77(C2xC14) = C4oD4xC28φ: trivial image224(C2xD4).77(C2xC14)448,1300
(C2xD4).78(C2xC14) = C7xC22.11C24φ: trivial image112(C2xD4).78(C2xC14)448,1301
(C2xD4).79(C2xC14) = C7xC23.33C23φ: trivial image224(C2xD4).79(C2xC14)448,1303
(C2xD4).80(C2xC14) = C7xD4xQ8φ: trivial image224(C2xD4).80(C2xC14)448,1332
(C2xD4).81(C2xC14) = C7xD4:3Q8φ: trivial image224(C2xD4).81(C2xC14)448,1337
(C2xD4).82(C2xC14) = C14x2- 1+4φ: trivial image224(C2xD4).82(C2xC14)448,1390

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