Extensions 1→N→G→Q→1 with N=C22:C4 and Q=C2xC14

Direct product G=NxQ with N=C22:C4 and Q=C2xC14
dρLabelID
C22:C4xC2xC14224C2^2:C4xC2xC14448,1295

Semidirect products G=N:Q with N=C22:C4 and Q=C2xC14
extensionφ:Q→Out NdρLabelID
C22:C4:1(C2xC14) = C7xC2wrC22φ: C2xC14/C7C22 ⊆ Out C22:C4564C2^2:C4:1(C2xC14)448,865
C22:C4:2(C2xC14) = C7xC23.7D4φ: C2xC14/C7C22 ⊆ Out C22:C41124C2^2:C4:2(C2xC14)448,866
C22:C4:3(C2xC14) = C7xC23:3D4φ: C2xC14/C7C22 ⊆ Out C22:C4112C2^2:C4:3(C2xC14)448,1317
C22:C4:4(C2xC14) = C7xC22.29C24φ: C2xC14/C7C22 ⊆ Out C22:C4112C2^2:C4:4(C2xC14)448,1318
C22:C4:5(C2xC14) = C7xD42φ: C2xC14/C7C22 ⊆ Out C22:C4112C2^2:C4:5(C2xC14)448,1328
C22:C4:6(C2xC14) = C7xC22.45C24φ: C2xC14/C7C22 ⊆ Out C22:C4112C2^2:C4:6(C2xC14)448,1334
C22:C4:7(C2xC14) = C7xC22.54C24φ: C2xC14/C7C22 ⊆ Out C22:C4112C2^2:C4:7(C2xC14)448,1343
C22:C4:8(C2xC14) = C7xC24:C22φ: C2xC14/C7C22 ⊆ Out C22:C4112C2^2:C4:8(C2xC14)448,1344
C22:C4:9(C2xC14) = C14xC23:C4φ: C2xC14/C14C2 ⊆ Out C22:C4112C2^2:C4:9(C2xC14)448,817
C22:C4:10(C2xC14) = C14xC22wrC2φ: C2xC14/C14C2 ⊆ Out C22:C4112C2^2:C4:10(C2xC14)448,1304
C22:C4:11(C2xC14) = C14xC4:D4φ: C2xC14/C14C2 ⊆ Out C22:C4224C2^2:C4:11(C2xC14)448,1305
C22:C4:12(C2xC14) = C14xC22.D4φ: C2xC14/C14C2 ⊆ Out C22:C4224C2^2:C4:12(C2xC14)448,1307
C22:C4:13(C2xC14) = C7xC22.19C24φ: C2xC14/C14C2 ⊆ Out C22:C4112C2^2:C4:13(C2xC14)448,1308
C22:C4:14(C2xC14) = C14xC4.4D4φ: C2xC14/C14C2 ⊆ Out C22:C4224C2^2:C4:14(C2xC14)448,1309
C22:C4:15(C2xC14) = C7xC22.32C24φ: C2xC14/C14C2 ⊆ Out C22:C4112C2^2:C4:15(C2xC14)448,1321
C22:C4:16(C2xC14) = C7xD4:5D4φ: C2xC14/C14C2 ⊆ Out C22:C4112C2^2:C4:16(C2xC14)448,1329
C22:C4:17(C2xC14) = D4xC2xC28φ: trivial image224C2^2:C4:17(C2xC14)448,1298
C22:C4:18(C2xC14) = C7xC22.11C24φ: trivial image112C2^2:C4:18(C2xC14)448,1301

Non-split extensions G=N.Q with N=C22:C4 and Q=C2xC14
extensionφ:Q→Out NdρLabelID
C22:C4.1(C2xC14) = C7xC23.38C23φ: C2xC14/C7C22 ⊆ Out C22:C4224C2^2:C4.1(C2xC14)448,1319
C22:C4.2(C2xC14) = C7xC22.31C24φ: C2xC14/C7C22 ⊆ Out C22:C4224C2^2:C4.2(C2xC14)448,1320
C22:C4.3(C2xC14) = C7xC22.35C24φ: C2xC14/C7C22 ⊆ Out C22:C4224C2^2:C4.3(C2xC14)448,1324
C22:C4.4(C2xC14) = C7xC22.36C24φ: C2xC14/C7C22 ⊆ Out C22:C4224C2^2:C4.4(C2xC14)448,1325
C22:C4.5(C2xC14) = C7xD4:6D4φ: C2xC14/C7C22 ⊆ Out C22:C4224C2^2:C4.5(C2xC14)448,1330
C22:C4.6(C2xC14) = C7xC22.50C24φ: C2xC14/C7C22 ⊆ Out C22:C4224C2^2:C4.6(C2xC14)448,1339
C22:C4.7(C2xC14) = C7xC22.56C24φ: C2xC14/C7C22 ⊆ Out C22:C4224C2^2:C4.7(C2xC14)448,1345
C22:C4.8(C2xC14) = C7xC22.57C24φ: C2xC14/C7C22 ⊆ Out C22:C4224C2^2:C4.8(C2xC14)448,1346
C22:C4.9(C2xC14) = C7xC23.C23φ: C2xC14/C14C2 ⊆ Out C22:C41124C2^2:C4.9(C2xC14)448,818
C22:C4.10(C2xC14) = C14xC22:Q8φ: C2xC14/C14C2 ⊆ Out C22:C4224C2^2:C4.10(C2xC14)448,1306
C22:C4.11(C2xC14) = C14xC42:2C2φ: C2xC14/C14C2 ⊆ Out C22:C4224C2^2:C4.11(C2xC14)448,1311
C22:C4.12(C2xC14) = C7xC23.36C23φ: C2xC14/C14C2 ⊆ Out C22:C4224C2^2:C4.12(C2xC14)448,1312
C22:C4.13(C2xC14) = C7xC22.26C24φ: C2xC14/C14C2 ⊆ Out C22:C4224C2^2:C4.13(C2xC14)448,1315
C22:C4.14(C2xC14) = C7xC23.37C23φ: C2xC14/C14C2 ⊆ Out C22:C4224C2^2:C4.14(C2xC14)448,1316
C22:C4.15(C2xC14) = C7xC22.33C24φ: C2xC14/C14C2 ⊆ Out C22:C4224C2^2:C4.15(C2xC14)448,1322
C22:C4.16(C2xC14) = C7xC22.34C24φ: C2xC14/C14C2 ⊆ Out C22:C4224C2^2:C4.16(C2xC14)448,1323
C22:C4.17(C2xC14) = C7xC23:2Q8φ: C2xC14/C14C2 ⊆ Out C22:C4112C2^2:C4.17(C2xC14)448,1326
C22:C4.18(C2xC14) = C7xC23.41C23φ: C2xC14/C14C2 ⊆ Out C22:C4224C2^2:C4.18(C2xC14)448,1327
C22:C4.19(C2xC14) = C7xQ8:5D4φ: C2xC14/C14C2 ⊆ Out C22:C4224C2^2:C4.19(C2xC14)448,1331
C22:C4.20(C2xC14) = C7xD4xQ8φ: C2xC14/C14C2 ⊆ Out C22:C4224C2^2:C4.20(C2xC14)448,1332
C22:C4.21(C2xC14) = C7xQ8:6D4φ: C2xC14/C14C2 ⊆ Out C22:C4224C2^2:C4.21(C2xC14)448,1333
C22:C4.22(C2xC14) = C7xC22.46C24φ: C2xC14/C14C2 ⊆ Out C22:C4224C2^2:C4.22(C2xC14)448,1335
C22:C4.23(C2xC14) = C7xC22.47C24φ: C2xC14/C14C2 ⊆ Out C22:C4224C2^2:C4.23(C2xC14)448,1336
C22:C4.24(C2xC14) = C7xD4:3Q8φ: C2xC14/C14C2 ⊆ Out C22:C4224C2^2:C4.24(C2xC14)448,1337
C22:C4.25(C2xC14) = C7xC22.49C24φ: C2xC14/C14C2 ⊆ Out C22:C4224C2^2:C4.25(C2xC14)448,1338
C22:C4.26(C2xC14) = C7xC22.53C24φ: C2xC14/C14C2 ⊆ Out C22:C4224C2^2:C4.26(C2xC14)448,1342
C22:C4.27(C2xC14) = C14xC42:C2φ: trivial image224C2^2:C4.27(C2xC14)448,1297
C22:C4.28(C2xC14) = C4oD4xC28φ: trivial image224C2^2:C4.28(C2xC14)448,1300
C22:C4.29(C2xC14) = C7xC23.32C23φ: trivial image224C2^2:C4.29(C2xC14)448,1302
C22:C4.30(C2xC14) = C7xC23.33C23φ: trivial image224C2^2:C4.30(C2xC14)448,1303

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