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Extensions 1→N→G→Q→1 with N=C2 and Q=C7×2+ 1+4

Direct product G=N×Q with N=C2 and Q=C7×2+ 1+4
dρLabelID
C14×2+ 1+4112C14xES+(2,2)448,1389


Non-split extensions G=N.Q with N=C2 and Q=C7×2+ 1+4
extensionφ:Q→Aut NdρLabelID
C2.1(C7×2+ 1+4) = C7×C22.11C24central extension (φ=1)112C2.1(C7xES+(2,2))448,1301
C2.2(C7×2+ 1+4) = C7×C23.33C23central extension (φ=1)224C2.2(C7xES+(2,2))448,1303
C2.3(C7×2+ 1+4) = C7×C23⋊3D4central stem extension (φ=1)112C2.3(C7xES+(2,2))448,1317
C2.4(C7×2+ 1+4) = C7×C22.29C24central stem extension (φ=1)112C2.4(C7xES+(2,2))448,1318
C2.5(C7×2+ 1+4) = C7×C22.31C24central stem extension (φ=1)224C2.5(C7xES+(2,2))448,1320
C2.6(C7×2+ 1+4) = C7×C22.32C24central stem extension (φ=1)112C2.6(C7xES+(2,2))448,1321
C2.7(C7×2+ 1+4) = C7×C22.33C24central stem extension (φ=1)224C2.7(C7xES+(2,2))448,1322
C2.8(C7×2+ 1+4) = C7×C22.34C24central stem extension (φ=1)224C2.8(C7xES+(2,2))448,1323
C2.9(C7×2+ 1+4) = C7×C22.36C24central stem extension (φ=1)224C2.9(C7xES+(2,2))448,1325
C2.10(C7×2+ 1+4) = C7×C23⋊2Q8central stem extension (φ=1)112C2.10(C7xES+(2,2))448,1326
C2.11(C7×2+ 1+4) = C7×C23.41C23central stem extension (φ=1)224C2.11(C7xES+(2,2))448,1327
C2.12(C7×2+ 1+4) = C7×D42central stem extension (φ=1)112C2.12(C7xES+(2,2))448,1328
C2.13(C7×2+ 1+4) = C7×D4⋊5D4central stem extension (φ=1)112C2.13(C7xES+(2,2))448,1329
C2.14(C7×2+ 1+4) = C7×Q8⋊6D4central stem extension (φ=1)224C2.14(C7xES+(2,2))448,1333
C2.15(C7×2+ 1+4) = C7×C22.45C24central stem extension (φ=1)112C2.15(C7xES+(2,2))448,1334
C2.16(C7×2+ 1+4) = C7×C22.47C24central stem extension (φ=1)224C2.16(C7xES+(2,2))448,1336
C2.17(C7×2+ 1+4) = C7×D4⋊3Q8central stem extension (φ=1)224C2.17(C7xES+(2,2))448,1337
C2.18(C7×2+ 1+4) = C7×C22.49C24central stem extension (φ=1)224C2.18(C7xES+(2,2))448,1338
C2.19(C7×2+ 1+4) = C7×Q82central stem extension (φ=1)448C2.19(C7xES+(2,2))448,1341
C2.20(C7×2+ 1+4) = C7×C22.53C24central stem extension (φ=1)224C2.20(C7xES+(2,2))448,1342
C2.21(C7×2+ 1+4) = C7×C22.54C24central stem extension (φ=1)112C2.21(C7xES+(2,2))448,1343
C2.22(C7×2+ 1+4) = C7×C24⋊C22central stem extension (φ=1)112C2.22(C7xES+(2,2))448,1344
C2.23(C7×2+ 1+4) = C7×C22.56C24central stem extension (φ=1)224C2.23(C7xES+(2,2))448,1345
C2.24(C7×2+ 1+4) = C7×C22.57C24central stem extension (φ=1)224C2.24(C7xES+(2,2))448,1346

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