# Extensions 1→N→G→Q→1 with N=C14 and Q=C23×C4

Direct product G=N×Q with N=C14 and Q=C23×C4
dρLabelID
C24×C28448C2^4xC28448,1385

Semidirect products G=N:Q with N=C14 and Q=C23×C4
extensionφ:Q→Aut NdρLabelID
C141(C23×C4) = D7×C23×C4φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14:1(C2^3xC4)448,1366
C142(C23×C4) = C24×Dic7φ: C23×C4/C24C2 ⊆ Aut C14448C14:2(C2^3xC4)448,1383

Non-split extensions G=N.Q with N=C14 and Q=C23×C4
extensionφ:Q→Aut NdρLabelID
C14.1(C23×C4) = C2×C4×Dic14φ: C23×C4/C22×C4C2 ⊆ Aut C14448C14.1(C2^3xC4)448,920
C14.2(C23×C4) = D7×C2×C42φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.2(C2^3xC4)448,924
C14.3(C23×C4) = C2×C42⋊D7φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.3(C2^3xC4)448,925
C14.4(C23×C4) = C2×C4×D28φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.4(C2^3xC4)448,926
C14.5(C23×C4) = C4×C4○D28φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.5(C2^3xC4)448,927
C14.6(C23×C4) = C2×C23.11D14φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.6(C2^3xC4)448,933
C14.7(C23×C4) = C2×D7×C22⋊C4φ: C23×C4/C22×C4C2 ⊆ Aut C14112C14.7(C2^3xC4)448,937
C14.8(C23×C4) = C2×Dic74D4φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.8(C2^3xC4)448,938
C14.9(C23×C4) = C24.24D14φ: C23×C4/C22×C4C2 ⊆ Aut C14112C14.9(C2^3xC4)448,939
C14.10(C23×C4) = C2×Dic73Q8φ: C23×C4/C22×C4C2 ⊆ Aut C14448C14.10(C2^3xC4)448,949
C14.11(C23×C4) = C2×D7×C4⋊C4φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.11(C2^3xC4)448,954
C14.12(C23×C4) = C2×C4⋊C47D7φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.12(C2^3xC4)448,955
C14.13(C23×C4) = C2×D28⋊C4φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.13(C2^3xC4)448,956
C14.14(C23×C4) = C14.82+ 1+4φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.14(C2^3xC4)448,957
C14.15(C23×C4) = C42.87D14φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.15(C2^3xC4)448,969
C14.16(C23×C4) = D7×C42⋊C2φ: C23×C4/C22×C4C2 ⊆ Aut C14112C14.16(C2^3xC4)448,973
C14.17(C23×C4) = C427D14φ: C23×C4/C22×C4C2 ⊆ Aut C14112C14.17(C2^3xC4)448,974
C14.18(C23×C4) = C42.188D14φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.18(C2^3xC4)448,975
C14.19(C23×C4) = C42.91D14φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.19(C2^3xC4)448,976
C14.20(C23×C4) = C4×D42D7φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.20(C2^3xC4)448,989
C14.21(C23×C4) = C4×D4×D7φ: C23×C4/C22×C4C2 ⊆ Aut C14112C14.21(C2^3xC4)448,997
C14.22(C23×C4) = C4211D14φ: C23×C4/C22×C4C2 ⊆ Aut C14112C14.22(C2^3xC4)448,998
C14.23(C23×C4) = C42.108D14φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.23(C2^3xC4)448,999
C14.24(C23×C4) = C4×Q8×D7φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.24(C2^3xC4)448,1024
C14.25(C23×C4) = C42.125D14φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.25(C2^3xC4)448,1025
C14.26(C23×C4) = C4×Q82D7φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.26(C2^3xC4)448,1026
C14.27(C23×C4) = C42.126D14φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.27(C2^3xC4)448,1027
C14.28(C23×C4) = D7×C22×C8φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.28(C2^3xC4)448,1189
C14.29(C23×C4) = C22×C8⋊D7φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.29(C2^3xC4)448,1190
C14.30(C23×C4) = C2×D28.2C4φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.30(C2^3xC4)448,1191
C14.31(C23×C4) = C2×D7×M4(2)φ: C23×C4/C22×C4C2 ⊆ Aut C14112C14.31(C2^3xC4)448,1196
C14.32(C23×C4) = C2×D28.C4φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.32(C2^3xC4)448,1197
C14.33(C23×C4) = C28.70C24φ: C23×C4/C22×C4C2 ⊆ Aut C141124C14.33(C2^3xC4)448,1198
C14.34(C23×C4) = D7×C8○D4φ: C23×C4/C22×C4C2 ⊆ Aut C141124C14.34(C2^3xC4)448,1202
C14.35(C23×C4) = C56.49C23φ: C23×C4/C22×C4C2 ⊆ Aut C141124C14.35(C2^3xC4)448,1203
C14.36(C23×C4) = C22×C4×Dic7φ: C23×C4/C22×C4C2 ⊆ Aut C14448C14.36(C2^3xC4)448,1235
C14.37(C23×C4) = C22×Dic7⋊C4φ: C23×C4/C22×C4C2 ⊆ Aut C14448C14.37(C2^3xC4)448,1236
C14.38(C23×C4) = C22×D14⋊C4φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.38(C2^3xC4)448,1240
C14.39(C23×C4) = C2×C4×C7⋊D4φ: C23×C4/C22×C4C2 ⊆ Aut C14224C14.39(C2^3xC4)448,1241
C14.40(C23×C4) = C23×C7⋊C8φ: C23×C4/C24C2 ⊆ Aut C14448C14.40(C2^3xC4)448,1233
C14.41(C23×C4) = C22×C4.Dic7φ: C23×C4/C24C2 ⊆ Aut C14224C14.41(C2^3xC4)448,1234
C14.42(C23×C4) = C22×C4⋊Dic7φ: C23×C4/C24C2 ⊆ Aut C14448C14.42(C2^3xC4)448,1238
C14.43(C23×C4) = C2×C23.21D14φ: C23×C4/C24C2 ⊆ Aut C14224C14.43(C2^3xC4)448,1239
C14.44(C23×C4) = C2×D4×Dic7φ: C23×C4/C24C2 ⊆ Aut C14224C14.44(C2^3xC4)448,1248
C14.45(C23×C4) = C24.38D14φ: C23×C4/C24C2 ⊆ Aut C14112C14.45(C2^3xC4)448,1251
C14.46(C23×C4) = C2×Q8×Dic7φ: C23×C4/C24C2 ⊆ Aut C14448C14.46(C2^3xC4)448,1264
C14.47(C23×C4) = C14.422- 1+4φ: C23×C4/C24C2 ⊆ Aut C14224C14.47(C2^3xC4)448,1265
C14.48(C23×C4) = C2×Q8.Dic7φ: C23×C4/C24C2 ⊆ Aut C14224C14.48(C2^3xC4)448,1271
C14.49(C23×C4) = C28.76C24φ: C23×C4/C24C2 ⊆ Aut C141124C14.49(C2^3xC4)448,1272
C14.50(C23×C4) = C4○D4×Dic7φ: C23×C4/C24C2 ⊆ Aut C14224C14.50(C2^3xC4)448,1279
C14.51(C23×C4) = C14.1062- 1+4φ: C23×C4/C24C2 ⊆ Aut C14224C14.51(C2^3xC4)448,1280
C14.52(C23×C4) = C22×C23.D7φ: C23×C4/C24C2 ⊆ Aut C14224C14.52(C2^3xC4)448,1292
C14.53(C23×C4) = C22⋊C4×C2×C14central extension (φ=1)224C14.53(C2^3xC4)448,1295
C14.54(C23×C4) = C4⋊C4×C2×C14central extension (φ=1)448C14.54(C2^3xC4)448,1296
C14.55(C23×C4) = C14×C42⋊C2central extension (φ=1)224C14.55(C2^3xC4)448,1297
C14.56(C23×C4) = D4×C2×C28central extension (φ=1)224C14.56(C2^3xC4)448,1298
C14.57(C23×C4) = Q8×C2×C28central extension (φ=1)448C14.57(C2^3xC4)448,1299
C14.58(C23×C4) = C4○D4×C28central extension (φ=1)224C14.58(C2^3xC4)448,1300
C14.59(C23×C4) = C7×C22.11C24central extension (φ=1)112C14.59(C2^3xC4)448,1301
C14.60(C23×C4) = C7×C23.32C23central extension (φ=1)224C14.60(C2^3xC4)448,1302
C14.61(C23×C4) = C7×C23.33C23central extension (φ=1)224C14.61(C2^3xC4)448,1303
C14.62(C23×C4) = M4(2)×C2×C14central extension (φ=1)224C14.62(C2^3xC4)448,1349
C14.63(C23×C4) = C14×C8○D4central extension (φ=1)224C14.63(C2^3xC4)448,1350
C14.64(C23×C4) = C7×Q8○M4(2)central extension (φ=1)1124C14.64(C2^3xC4)448,1351

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