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

Direct product G=N×Q with N=2- (1+4) and Q=C14
dρLabelID
C14×2- (1+4)224C14xES-(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 = C7×D4.8D4φ: C14/C7C2 ⊆ Out 2- (1+4)1124ES-(2,2):1C14448,862
2- (1+4)2C14 = C7×D4○SD16φ: C14/C7C2 ⊆ Out 2- (1+4)1124ES-(2,2):2C14448,1360
2- (1+4)3C14 = C7×Q8○D8φ: C14/C7C2 ⊆ Out 2- (1+4)2244ES-(2,2):3C14448,1361
2- (1+4)4C14 = C7×C2.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 = C7×D4.10D4φ: C14/C7C2 ⊆ Out 2- (1+4)1124ES-(2,2).C14448,864

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