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Extensions 1→N→G→Q→1 with N=C22 and Q=C23×C14

Direct product G=N×Q with N=C22 and Q=C23×C14
dρLabelID
C25×C14448C2^5xC14448,1396

Semidirect products G=N:Q with N=C22 and Q=C23×C14
extensionφ:Q→Aut NdρLabelID
C22⋊(C23×C14) = D4×C22×C14φ: C23×C14/C22×C14 → C2 ⊆ Aut C22224C2^2:(C2^3xC14)448,1386

Non-split extensions G=N.Q with N=C22 and Q=C23×C14
extensionφ:Q→Aut NdρLabelID
C22.1(C23×C14) = C4○D4×C2×C14φ: C23×C14/C22×C14 → C2 ⊆ Aut C22224C2^2.1(C2^3xC14)448,1388
C22.2(C23×C14) = C14×2+ 1+4φ: C23×C14/C22×C14 → C2 ⊆ Aut C22112C2^2.2(C2^3xC14)448,1389
C22.3(C23×C14) = C14×2- 1+4φ: C23×C14/C22×C14 → C2 ⊆ Aut C22224C2^2.3(C2^3xC14)448,1390
C22.4(C23×C14) = C7×C2.C25φ: C23×C14/C22×C14 → C2 ⊆ Aut C221124C2^2.4(C2^3xC14)448,1391
C22.5(C23×C14) = C22⋊C4×C2×C14central extension (φ=1)224C2^2.5(C2^3xC14)448,1295
C22.6(C23×C14) = C4⋊C4×C2×C14central extension (φ=1)448C2^2.6(C2^3xC14)448,1296
C22.7(C23×C14) = C14×C42⋊C2central extension (φ=1)224C2^2.7(C2^3xC14)448,1297
C22.8(C23×C14) = D4×C2×C28central extension (φ=1)224C2^2.8(C2^3xC14)448,1298
C22.9(C23×C14) = Q8×C2×C28central extension (φ=1)448C2^2.9(C2^3xC14)448,1299
C22.10(C23×C14) = C4○D4×C28central extension (φ=1)224C2^2.10(C2^3xC14)448,1300
C22.11(C23×C14) = C7×C22.11C24central extension (φ=1)112C2^2.11(C2^3xC14)448,1301
C22.12(C23×C14) = C7×C23.32C23central extension (φ=1)224C2^2.12(C2^3xC14)448,1302
C22.13(C23×C14) = C7×C23.33C23central extension (φ=1)224C2^2.13(C2^3xC14)448,1303
C22.14(C23×C14) = Q8×C22×C14central extension (φ=1)448C2^2.14(C2^3xC14)448,1387
C22.15(C23×C14) = C14×C22≀C2central stem extension (φ=1)112C2^2.15(C2^3xC14)448,1304
C22.16(C23×C14) = C14×C4⋊D4central stem extension (φ=1)224C2^2.16(C2^3xC14)448,1305
C22.17(C23×C14) = C14×C22⋊Q8central stem extension (φ=1)224C2^2.17(C2^3xC14)448,1306
C22.18(C23×C14) = C14×C22.D4central stem extension (φ=1)224C2^2.18(C2^3xC14)448,1307
C22.19(C23×C14) = C7×C22.19C24central stem extension (φ=1)112C2^2.19(C2^3xC14)448,1308
C22.20(C23×C14) = C14×C4.4D4central stem extension (φ=1)224C2^2.20(C2^3xC14)448,1309
C22.21(C23×C14) = C14×C42.C2central stem extension (φ=1)448C2^2.21(C2^3xC14)448,1310
C22.22(C23×C14) = C14×C42⋊2C2central stem extension (φ=1)224C2^2.22(C2^3xC14)448,1311
C22.23(C23×C14) = C7×C23.36C23central stem extension (φ=1)224C2^2.23(C2^3xC14)448,1312
C22.24(C23×C14) = C14×C4⋊1D4central stem extension (φ=1)224C2^2.24(C2^3xC14)448,1313
C22.25(C23×C14) = C14×C4⋊Q8central stem extension (φ=1)448C2^2.25(C2^3xC14)448,1314
C22.26(C23×C14) = C7×C22.26C24central stem extension (φ=1)224C2^2.26(C2^3xC14)448,1315
C22.27(C23×C14) = C7×C23.37C23central stem extension (φ=1)224C2^2.27(C2^3xC14)448,1316
C22.28(C23×C14) = C7×C23⋊3D4central stem extension (φ=1)112C2^2.28(C2^3xC14)448,1317
C22.29(C23×C14) = C7×C22.29C24central stem extension (φ=1)112C2^2.29(C2^3xC14)448,1318
C22.30(C23×C14) = C7×C23.38C23central stem extension (φ=1)224C2^2.30(C2^3xC14)448,1319
C22.31(C23×C14) = C7×C22.31C24central stem extension (φ=1)224C2^2.31(C2^3xC14)448,1320
C22.32(C23×C14) = C7×C22.32C24central stem extension (φ=1)112C2^2.32(C2^3xC14)448,1321
C22.33(C23×C14) = C7×C22.33C24central stem extension (φ=1)224C2^2.33(C2^3xC14)448,1322
C22.34(C23×C14) = C7×C22.34C24central stem extension (φ=1)224C2^2.34(C2^3xC14)448,1323
C22.35(C23×C14) = C7×C22.35C24central stem extension (φ=1)224C2^2.35(C2^3xC14)448,1324
C22.36(C23×C14) = C7×C22.36C24central stem extension (φ=1)224C2^2.36(C2^3xC14)448,1325
C22.37(C23×C14) = C7×C23⋊2Q8central stem extension (φ=1)112C2^2.37(C2^3xC14)448,1326
C22.38(C23×C14) = C7×C23.41C23central stem extension (φ=1)224C2^2.38(C2^3xC14)448,1327
C22.39(C23×C14) = C7×D42central stem extension (φ=1)112C2^2.39(C2^3xC14)448,1328
C22.40(C23×C14) = C7×D4⋊5D4central stem extension (φ=1)112C2^2.40(C2^3xC14)448,1329
C22.41(C23×C14) = C7×D4⋊6D4central stem extension (φ=1)224C2^2.41(C2^3xC14)448,1330
C22.42(C23×C14) = C7×Q8⋊5D4central stem extension (φ=1)224C2^2.42(C2^3xC14)448,1331
C22.43(C23×C14) = C7×D4×Q8central stem extension (φ=1)224C2^2.43(C2^3xC14)448,1332
C22.44(C23×C14) = C7×Q8⋊6D4central stem extension (φ=1)224C2^2.44(C2^3xC14)448,1333
C22.45(C23×C14) = C7×C22.45C24central stem extension (φ=1)112C2^2.45(C2^3xC14)448,1334
C22.46(C23×C14) = C7×C22.46C24central stem extension (φ=1)224C2^2.46(C2^3xC14)448,1335
C22.47(C23×C14) = C7×C22.47C24central stem extension (φ=1)224C2^2.47(C2^3xC14)448,1336
C22.48(C23×C14) = C7×D4⋊3Q8central stem extension (φ=1)224C2^2.48(C2^3xC14)448,1337
C22.49(C23×C14) = C7×C22.49C24central stem extension (φ=1)224C2^2.49(C2^3xC14)448,1338
C22.50(C23×C14) = C7×C22.50C24central stem extension (φ=1)224C2^2.50(C2^3xC14)448,1339
C22.51(C23×C14) = C7×Q8⋊3Q8central stem extension (φ=1)448C2^2.51(C2^3xC14)448,1340
C22.52(C23×C14) = C7×Q82central stem extension (φ=1)448C2^2.52(C2^3xC14)448,1341
C22.53(C23×C14) = C7×C22.53C24central stem extension (φ=1)224C2^2.53(C2^3xC14)448,1342
C22.54(C23×C14) = C7×C22.54C24central stem extension (φ=1)112C2^2.54(C2^3xC14)448,1343
C22.55(C23×C14) = C7×C24⋊C22central stem extension (φ=1)112C2^2.55(C2^3xC14)448,1344
C22.56(C23×C14) = C7×C22.56C24central stem extension (φ=1)224C2^2.56(C2^3xC14)448,1345
C22.57(C23×C14) = C7×C22.57C24central stem extension (φ=1)224C2^2.57(C2^3xC14)448,1346
C22.58(C23×C14) = C7×C22.58C24central stem extension (φ=1)448C2^2.58(C2^3xC14)448,1347

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