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Extensions 1→N→G→Q→1 with N=C2 and Q=C22×C7⋊D4

Direct product G=N×Q with N=C2 and Q=C22×C7⋊D4
dρLabelID
C23×C7⋊D4224C2^3xC7:D4448,1384


Non-split extensions G=N.Q with N=C2 and Q=C22×C7⋊D4
extensionφ:Q→Aut NdρLabelID
C2.1(C22×C7⋊D4) = C22×Dic7⋊C4central extension (φ=1)448C2.1(C2^2xC7:D4)448,1236
C2.2(C22×C7⋊D4) = C22×D14⋊C4central extension (φ=1)224C2.2(C2^2xC7:D4)448,1240
C2.3(C22×C7⋊D4) = C2×C4×C7⋊D4central extension (φ=1)224C2.3(C2^2xC7:D4)448,1241
C2.4(C22×C7⋊D4) = C22×C23.D7central extension (φ=1)224C2.4(C2^2xC7:D4)448,1292
C2.5(C22×C7⋊D4) = C2×C28.48D4central stem extension (φ=1)224C2.5(C2^2xC7:D4)448,1237
C2.6(C22×C7⋊D4) = C2×C23.23D14central stem extension (φ=1)224C2.6(C2^2xC7:D4)448,1242
C2.7(C22×C7⋊D4) = C2×C28⋊7D4central stem extension (φ=1)224C2.7(C2^2xC7:D4)448,1243
C2.8(C22×C7⋊D4) = C24.72D14central stem extension (φ=1)112C2.8(C2^2xC7:D4)448,1244
C2.9(C22×C7⋊D4) = C22×D4⋊D7central stem extension (φ=1)224C2.9(C2^2xC7:D4)448,1245
C2.10(C22×C7⋊D4) = C2×D4.D14central stem extension (φ=1)112C2.10(C2^2xC7:D4)448,1246
C2.11(C22×C7⋊D4) = C22×D4.D7central stem extension (φ=1)224C2.11(C2^2xC7:D4)448,1247
C2.12(C22×C7⋊D4) = C2×C23.18D14central stem extension (φ=1)224C2.12(C2^2xC7:D4)448,1249
C2.13(C22×C7⋊D4) = C2×C28.17D4central stem extension (φ=1)224C2.13(C2^2xC7:D4)448,1250
C2.14(C22×C7⋊D4) = C2×C23⋊D14central stem extension (φ=1)112C2.14(C2^2xC7:D4)448,1252
C2.15(C22×C7⋊D4) = C2×C28⋊2D4central stem extension (φ=1)224C2.15(C2^2xC7:D4)448,1253
C2.16(C22×C7⋊D4) = D4×C7⋊D4central stem extension (φ=1)112C2.16(C2^2xC7:D4)448,1254
C2.17(C22×C7⋊D4) = C2×Dic7⋊D4central stem extension (φ=1)224C2.17(C2^2xC7:D4)448,1255
C2.18(C22×C7⋊D4) = C2×C28⋊D4central stem extension (φ=1)224C2.18(C2^2xC7:D4)448,1256
C2.19(C22×C7⋊D4) = C24⋊7D14central stem extension (φ=1)112C2.19(C2^2xC7:D4)448,1257
C2.20(C22×C7⋊D4) = C24.41D14central stem extension (φ=1)112C2.20(C2^2xC7:D4)448,1258
C2.21(C22×C7⋊D4) = C24.42D14central stem extension (φ=1)112C2.21(C2^2xC7:D4)448,1259
C2.22(C22×C7⋊D4) = C22×Q8⋊D7central stem extension (φ=1)224C2.22(C2^2xC7:D4)448,1260
C2.23(C22×C7⋊D4) = C2×C28.C23central stem extension (φ=1)224C2.23(C2^2xC7:D4)448,1261
C2.24(C22×C7⋊D4) = C22×C7⋊Q16central stem extension (φ=1)448C2.24(C2^2xC7:D4)448,1262
C2.25(C22×C7⋊D4) = C2×Dic7⋊Q8central stem extension (φ=1)448C2.25(C2^2xC7:D4)448,1263
C2.26(C22×C7⋊D4) = C2×D14⋊3Q8central stem extension (φ=1)224C2.26(C2^2xC7:D4)448,1266
C2.27(C22×C7⋊D4) = C2×C28.23D4central stem extension (φ=1)224C2.27(C2^2xC7:D4)448,1267
C2.28(C22×C7⋊D4) = Q8×C7⋊D4central stem extension (φ=1)224C2.28(C2^2xC7:D4)448,1268
C2.29(C22×C7⋊D4) = C14.442- 1+4central stem extension (φ=1)224C2.29(C2^2xC7:D4)448,1269
C2.30(C22×C7⋊D4) = C14.452- 1+4central stem extension (φ=1)224C2.30(C2^2xC7:D4)448,1270
C2.31(C22×C7⋊D4) = C2×D4⋊D14central stem extension (φ=1)112C2.31(C2^2xC7:D4)448,1273
C2.32(C22×C7⋊D4) = C2×D4.8D14central stem extension (φ=1)224C2.32(C2^2xC7:D4)448,1274
C2.33(C22×C7⋊D4) = C28.C24central stem extension (φ=1)1124C2.33(C2^2xC7:D4)448,1275
C2.34(C22×C7⋊D4) = C2×D4.9D14central stem extension (φ=1)224C2.34(C2^2xC7:D4)448,1276
C2.35(C22×C7⋊D4) = C14.1042- 1+4central stem extension (φ=1)224C2.35(C2^2xC7:D4)448,1277
C2.36(C22×C7⋊D4) = C14.1052- 1+4central stem extension (φ=1)224C2.36(C2^2xC7:D4)448,1278
C2.37(C22×C7⋊D4) = (C2×C28)⋊15D4central stem extension (φ=1)112C2.37(C2^2xC7:D4)448,1281
C2.38(C22×C7⋊D4) = C14.1452+ 1+4central stem extension (φ=1)112C2.38(C2^2xC7:D4)448,1282
C2.39(C22×C7⋊D4) = C14.1462+ 1+4central stem extension (φ=1)112C2.39(C2^2xC7:D4)448,1283
C2.40(C22×C7⋊D4) = C14.1072- 1+4central stem extension (φ=1)224C2.40(C2^2xC7:D4)448,1284
C2.41(C22×C7⋊D4) = (C2×C28)⋊17D4central stem extension (φ=1)224C2.41(C2^2xC7:D4)448,1285
C2.42(C22×C7⋊D4) = C14.1082- 1+4central stem extension (φ=1)224C2.42(C2^2xC7:D4)448,1286
C2.43(C22×C7⋊D4) = C14.1482+ 1+4central stem extension (φ=1)224C2.43(C2^2xC7:D4)448,1287
C2.44(C22×C7⋊D4) = D28.32C23central stem extension (φ=1)1128+C2.44(C2^2xC7:D4)448,1288
C2.45(C22×C7⋊D4) = D28.33C23central stem extension (φ=1)1128-C2.45(C2^2xC7:D4)448,1289
C2.46(C22×C7⋊D4) = D28.34C23central stem extension (φ=1)1128+C2.46(C2^2xC7:D4)448,1290
C2.47(C22×C7⋊D4) = D28.35C23central stem extension (φ=1)2248-C2.47(C2^2xC7:D4)448,1291
C2.48(C22×C7⋊D4) = C2×C24⋊D7central stem extension (φ=1)112C2.48(C2^2xC7:D4)448,1293

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