Extensions 1→N→G→Q→1 with N=2- 1+4 and Q=C14

Direct product G=NxQ with N=2- 1+4 and Q=C14
dρLabelID
C14x2- 1+4224C14xES-(2,2)448,1390

Semidirect products G=N:Q with N=2- 1+4 and Q=C14
extensionφ:Q→Out NdρLabelID
2- 1+4:1C14 = C7xD4.8D4φ: C14/C7C2 ⊆ Out 2- 1+41124ES-(2,2):1C14448,862
2- 1+4:2C14 = C7xD4oSD16φ: C14/C7C2 ⊆ Out 2- 1+41124ES-(2,2):2C14448,1360
2- 1+4:3C14 = C7xQ8oD8φ: C14/C7C2 ⊆ Out 2- 1+42244ES-(2,2):3C14448,1361
2- 1+4:4C14 = C7xC2.C25φ: trivial image1124ES-(2,2):4C14448,1391

Non-split extensions G=N.Q with N=2- 1+4 and Q=C14
extensionφ:Q→Out NdρLabelID
2- 1+4.C14 = C7xD4.10D4φ: C14/C7C2 ⊆ Out 2- 1+41124ES-(2,2).C14448,864

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