Extensions 1→N→G→Q→1 with N=C42.C2 and Q=C14

Direct product G=NxQ with N=C42.C2 and Q=C14
dρLabelID
C14xC42.C2448C14xC4^2.C2448,1310

Semidirect products G=N:Q with N=C42.C2 and Q=C14
extensionφ:Q→Out NdρLabelID
C42.C2:1C14 = C7xD4.Q8φ: C14/C7C2 ⊆ Out C42.C2224C4^2.C2:1C14448,886
C42.C2:2C14 = C7xC42.78C22φ: C14/C7C2 ⊆ Out C42.C2224C4^2.C2:2C14448,896
C42.C2:3C14 = C7xC42.29C22φ: C14/C7C2 ⊆ Out C42.C2224C4^2.C2:3C14448,898
C42.C2:4C14 = C7xC22.33C24φ: C14/C7C2 ⊆ Out C42.C2224C4^2.C2:4C14448,1322
C42.C2:5C14 = C7xC22.34C24φ: C14/C7C2 ⊆ Out C42.C2224C4^2.C2:5C14448,1323
C42.C2:6C14 = C7xC22.35C24φ: C14/C7C2 ⊆ Out C42.C2224C4^2.C2:6C14448,1324
C42.C2:7C14 = C7xC23.41C23φ: C14/C7C2 ⊆ Out C42.C2224C4^2.C2:7C14448,1327
C42.C2:8C14 = C7xC22.46C24φ: C14/C7C2 ⊆ Out C42.C2224C4^2.C2:8C14448,1335
C42.C2:9C14 = C7xC22.47C24φ: C14/C7C2 ⊆ Out C42.C2224C4^2.C2:9C14448,1336
C42.C2:10C14 = C7xD4:3Q8φ: C14/C7C2 ⊆ Out C42.C2224C4^2.C2:10C14448,1337
C42.C2:11C14 = C7xC22.56C24φ: C14/C7C2 ⊆ Out C42.C2224C4^2.C2:11C14448,1345
C42.C2:12C14 = C7xC22.57C24φ: C14/C7C2 ⊆ Out C42.C2224C4^2.C2:12C14448,1346
C42.C2:13C14 = C7xC23.36C23φ: trivial image224C4^2.C2:13C14448,1312
C42.C2:14C14 = C7xC23.37C23φ: trivial image224C4^2.C2:14C14448,1316

Non-split extensions G=N.Q with N=C42.C2 and Q=C14
extensionφ:Q→Out NdρLabelID
C42.C2.1C14 = C7xC42.2C22φ: C14/C7C2 ⊆ Out C42.C2448C4^2.C2.1C14448,134
C42.C2.2C14 = C7xQ8.Q8φ: C14/C7C2 ⊆ Out C42.C2448C4^2.C2.2C14448,887
C42.C2.3C14 = C7xC42.30C22φ: C14/C7C2 ⊆ Out C42.C2448C4^2.C2.3C14448,899
C42.C2.4C14 = C7xC8.5Q8φ: C14/C7C2 ⊆ Out C42.C2448C4^2.C2.4C14448,907
C42.C2.5C14 = C7xC8:Q8φ: C14/C7C2 ⊆ Out C42.C2448C4^2.C2.5C14448,909
C42.C2.6C14 = C7xQ8:3Q8φ: C14/C7C2 ⊆ Out C42.C2448C4^2.C2.6C14448,1340
C42.C2.7C14 = C7xC22.58C24φ: C14/C7C2 ⊆ Out C42.C2448C4^2.C2.7C14448,1347

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