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

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

Semidirect products G=N:Q with N=C23 and Q=C22×C14
extensionφ:Q→Aut NdρLabelID
C23⋊(C22×C14) = C23×F8φ: C22×C14/C23C7 ⊆ Aut C2356C2^3:(C2^2xC14)448,1392
C232(C22×C14) = C14×C22≀C2φ: C22×C14/C14C22 ⊆ Aut C23112C2^3:2(C2^2xC14)448,1304
C233(C22×C14) = C14×2+ 1+4φ: C22×C14/C14C22 ⊆ Aut C23112C2^3:3(C2^2xC14)448,1389
C234(C22×C14) = D4×C22×C14φ: C22×C14/C2×C14C2 ⊆ Aut C23224C2^3:4(C2^2xC14)448,1386

Non-split extensions G=N.Q with N=C23 and Q=C22×C14
extensionφ:Q→Aut NdρLabelID
C23.1(C22×C14) = C14×C23⋊C4φ: C22×C14/C14C22 ⊆ Aut C23112C2^3.1(C2^2xC14)448,817
C23.2(C22×C14) = C7×C23.C23φ: C22×C14/C14C22 ⊆ Aut C231124C2^3.2(C2^2xC14)448,818
C23.3(C22×C14) = C7×C2≀C22φ: C22×C14/C14C22 ⊆ Aut C23564C2^3.3(C2^2xC14)448,865
C23.4(C22×C14) = C7×C23.7D4φ: C22×C14/C14C22 ⊆ Aut C231124C2^3.4(C2^2xC14)448,866
C23.5(C22×C14) = C14×C22.D4φ: C22×C14/C14C22 ⊆ Aut C23224C2^3.5(C2^2xC14)448,1307
C23.6(C22×C14) = C14×C4.4D4φ: C22×C14/C14C22 ⊆ Aut C23224C2^3.6(C2^2xC14)448,1309
C23.7(C22×C14) = C7×C23.36C23φ: C22×C14/C14C22 ⊆ Aut C23224C2^3.7(C2^2xC14)448,1312
C23.8(C22×C14) = C14×C41D4φ: C22×C14/C14C22 ⊆ Aut C23224C2^3.8(C2^2xC14)448,1313
C23.9(C22×C14) = C7×C22.29C24φ: C22×C14/C14C22 ⊆ Aut C23112C2^3.9(C2^2xC14)448,1318
C23.10(C22×C14) = C7×C23.38C23φ: C22×C14/C14C22 ⊆ Aut C23224C2^3.10(C2^2xC14)448,1319
C23.11(C22×C14) = C7×C22.32C24φ: C22×C14/C14C22 ⊆ Aut C23112C2^3.11(C2^2xC14)448,1321
C23.12(C22×C14) = C7×C22.34C24φ: C22×C14/C14C22 ⊆ Aut C23224C2^3.12(C2^2xC14)448,1323
C23.13(C22×C14) = C7×C22.35C24φ: C22×C14/C14C22 ⊆ Aut C23224C2^3.13(C2^2xC14)448,1324
C23.14(C22×C14) = C7×C22.36C24φ: C22×C14/C14C22 ⊆ Aut C23224C2^3.14(C2^2xC14)448,1325
C23.15(C22×C14) = C7×D42φ: C22×C14/C14C22 ⊆ Aut C23112C2^3.15(C2^2xC14)448,1328
C23.16(C22×C14) = C7×D45D4φ: C22×C14/C14C22 ⊆ Aut C23112C2^3.16(C2^2xC14)448,1329
C23.17(C22×C14) = C7×Q86D4φ: C22×C14/C14C22 ⊆ Aut C23224C2^3.17(C2^2xC14)448,1333
C23.18(C22×C14) = C7×C22.45C24φ: C22×C14/C14C22 ⊆ Aut C23112C2^3.18(C2^2xC14)448,1334
C23.19(C22×C14) = C7×C22.47C24φ: C22×C14/C14C22 ⊆ Aut C23224C2^3.19(C2^2xC14)448,1336
C23.20(C22×C14) = C7×C22.49C24φ: C22×C14/C14C22 ⊆ Aut C23224C2^3.20(C2^2xC14)448,1338
C23.21(C22×C14) = C7×C22.50C24φ: C22×C14/C14C22 ⊆ Aut C23224C2^3.21(C2^2xC14)448,1339
C23.22(C22×C14) = C7×C22.53C24φ: C22×C14/C14C22 ⊆ Aut C23224C2^3.22(C2^2xC14)448,1342
C23.23(C22×C14) = C7×C22.54C24φ: C22×C14/C14C22 ⊆ Aut C23112C2^3.23(C2^2xC14)448,1343
C23.24(C22×C14) = C7×C24⋊C22φ: C22×C14/C14C22 ⊆ Aut C23112C2^3.24(C2^2xC14)448,1344
C23.25(C22×C14) = C7×C22.56C24φ: C22×C14/C14C22 ⊆ Aut C23224C2^3.25(C2^2xC14)448,1345
C23.26(C22×C14) = C7×C22.57C24φ: C22×C14/C14C22 ⊆ Aut C23224C2^3.26(C2^2xC14)448,1346
C23.27(C22×C14) = C7×C2.C25φ: C22×C14/C14C22 ⊆ Aut C231124C2^3.27(C2^2xC14)448,1391
C23.28(C22×C14) = D4×C2×C28φ: C22×C14/C2×C14C2 ⊆ Aut C23224C2^3.28(C2^2xC14)448,1298
C23.29(C22×C14) = C4○D4×C28φ: C22×C14/C2×C14C2 ⊆ Aut C23224C2^3.29(C2^2xC14)448,1300
C23.30(C22×C14) = C7×C22.11C24φ: C22×C14/C2×C14C2 ⊆ Aut C23112C2^3.30(C2^2xC14)448,1301
C23.31(C22×C14) = C7×C23.32C23φ: C22×C14/C2×C14C2 ⊆ Aut C23224C2^3.31(C2^2xC14)448,1302
C23.32(C22×C14) = C7×C23.33C23φ: C22×C14/C2×C14C2 ⊆ Aut C23224C2^3.32(C2^2xC14)448,1303
C23.33(C22×C14) = C7×C22.19C24φ: C22×C14/C2×C14C2 ⊆ Aut C23112C2^3.33(C2^2xC14)448,1308
C23.34(C22×C14) = C7×C22.26C24φ: C22×C14/C2×C14C2 ⊆ Aut C23224C2^3.34(C2^2xC14)448,1315
C23.35(C22×C14) = C7×C23.37C23φ: C22×C14/C2×C14C2 ⊆ Aut C23224C2^3.35(C2^2xC14)448,1316
C23.36(C22×C14) = C7×C233D4φ: C22×C14/C2×C14C2 ⊆ Aut C23112C2^3.36(C2^2xC14)448,1317
C23.37(C22×C14) = C7×C22.31C24φ: C22×C14/C2×C14C2 ⊆ Aut C23224C2^3.37(C2^2xC14)448,1320
C23.38(C22×C14) = C7×C22.33C24φ: C22×C14/C2×C14C2 ⊆ Aut C23224C2^3.38(C2^2xC14)448,1322
C23.39(C22×C14) = C7×C232Q8φ: C22×C14/C2×C14C2 ⊆ Aut C23112C2^3.39(C2^2xC14)448,1326
C23.40(C22×C14) = C7×C23.41C23φ: C22×C14/C2×C14C2 ⊆ Aut C23224C2^3.40(C2^2xC14)448,1327
C23.41(C22×C14) = C7×D46D4φ: C22×C14/C2×C14C2 ⊆ Aut C23224C2^3.41(C2^2xC14)448,1330
C23.42(C22×C14) = C7×Q85D4φ: C22×C14/C2×C14C2 ⊆ Aut C23224C2^3.42(C2^2xC14)448,1331
C23.43(C22×C14) = C7×D4×Q8φ: C22×C14/C2×C14C2 ⊆ Aut C23224C2^3.43(C2^2xC14)448,1332
C23.44(C22×C14) = C7×C22.46C24φ: C22×C14/C2×C14C2 ⊆ Aut C23224C2^3.44(C2^2xC14)448,1335
C23.45(C22×C14) = C7×D43Q8φ: C22×C14/C2×C14C2 ⊆ Aut C23224C2^3.45(C2^2xC14)448,1337
C23.46(C22×C14) = C4○D4×C2×C14φ: C22×C14/C2×C14C2 ⊆ Aut C23224C2^3.46(C2^2xC14)448,1388
C23.47(C22×C14) = C14×2- 1+4φ: C22×C14/C2×C14C2 ⊆ Aut C23224C2^3.47(C2^2xC14)448,1390
C23.48(C22×C14) = C14×C2.C42central extension (φ=1)448C2^3.48(C2^2xC14)448,783
C23.49(C22×C14) = C7×C424C4central extension (φ=1)448C2^3.49(C2^2xC14)448,784
C23.50(C22×C14) = C22⋊C4×C28central extension (φ=1)224C2^3.50(C2^2xC14)448,785
C23.51(C22×C14) = C4⋊C4×C28central extension (φ=1)448C2^3.51(C2^2xC14)448,786
C23.52(C22×C14) = C7×C243C4central extension (φ=1)112C2^3.52(C2^2xC14)448,787
C23.53(C22×C14) = C7×C23.7Q8central extension (φ=1)224C2^3.53(C2^2xC14)448,788
C23.54(C22×C14) = C7×C23.34D4central extension (φ=1)224C2^3.54(C2^2xC14)448,789
C23.55(C22×C14) = C7×C428C4central extension (φ=1)448C2^3.55(C2^2xC14)448,790
C23.56(C22×C14) = C7×C425C4central extension (φ=1)448C2^3.56(C2^2xC14)448,791
C23.57(C22×C14) = C7×C429C4central extension (φ=1)448C2^3.57(C2^2xC14)448,792
C23.58(C22×C14) = C7×C23.8Q8central extension (φ=1)224C2^3.58(C2^2xC14)448,793
C23.59(C22×C14) = C7×C23.23D4central extension (φ=1)224C2^3.59(C2^2xC14)448,794
C23.60(C22×C14) = C7×C23.63C23central extension (φ=1)448C2^3.60(C2^2xC14)448,795
C23.61(C22×C14) = C7×C24.C22central extension (φ=1)224C2^3.61(C2^2xC14)448,796
C23.62(C22×C14) = C7×C23.65C23central extension (φ=1)448C2^3.62(C2^2xC14)448,797
C23.63(C22×C14) = C7×C24.3C22central extension (φ=1)224C2^3.63(C2^2xC14)448,798
C23.64(C22×C14) = C7×C23.67C23central extension (φ=1)448C2^3.64(C2^2xC14)448,799
C23.65(C22×C14) = C22⋊C4×C2×C14central extension (φ=1)224C2^3.65(C2^2xC14)448,1295
C23.66(C22×C14) = C4⋊C4×C2×C14central extension (φ=1)448C2^3.66(C2^2xC14)448,1296
C23.67(C22×C14) = C14×C42⋊C2central extension (φ=1)224C2^3.67(C2^2xC14)448,1297
C23.68(C22×C14) = Q8×C2×C28central extension (φ=1)448C2^3.68(C2^2xC14)448,1299
C23.69(C22×C14) = C14×C4⋊D4central extension (φ=1)224C2^3.69(C2^2xC14)448,1305
C23.70(C22×C14) = C14×C22⋊Q8central extension (φ=1)224C2^3.70(C2^2xC14)448,1306
C23.71(C22×C14) = C14×C42.C2central extension (φ=1)448C2^3.71(C2^2xC14)448,1310
C23.72(C22×C14) = C14×C422C2central extension (φ=1)224C2^3.72(C2^2xC14)448,1311
C23.73(C22×C14) = C14×C4⋊Q8central extension (φ=1)448C2^3.73(C2^2xC14)448,1314
C23.74(C22×C14) = Q8×C22×C14central extension (φ=1)448C2^3.74(C2^2xC14)448,1387
C23.75(C22×C14) = C7×C232D4central stem extension (φ=1)224C2^3.75(C2^2xC14)448,800
C23.76(C22×C14) = C7×C23⋊Q8central stem extension (φ=1)224C2^3.76(C2^2xC14)448,801
C23.77(C22×C14) = C7×C23.10D4central stem extension (φ=1)224C2^3.77(C2^2xC14)448,802
C23.78(C22×C14) = C7×C23.78C23central stem extension (φ=1)448C2^3.78(C2^2xC14)448,803
C23.79(C22×C14) = C7×C23.Q8central stem extension (φ=1)224C2^3.79(C2^2xC14)448,804
C23.80(C22×C14) = C7×C23.11D4central stem extension (φ=1)224C2^3.80(C2^2xC14)448,805
C23.81(C22×C14) = C7×C23.81C23central stem extension (φ=1)448C2^3.81(C2^2xC14)448,806
C23.82(C22×C14) = C7×C23.4Q8central stem extension (φ=1)224C2^3.82(C2^2xC14)448,807
C23.83(C22×C14) = C7×C23.83C23central stem extension (φ=1)448C2^3.83(C2^2xC14)448,808
C23.84(C22×C14) = C7×C23.84C23central stem extension (φ=1)448C2^3.84(C2^2xC14)448,809

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