Extensions 1→N→G→Q→1 with N=D10 and Q=C14

Direct product G=N×Q with N=D10 and Q=C14
dρLabelID
D5×C2×C14140D5xC2xC14280,38

Semidirect products G=N:Q with N=D10 and Q=C14
extensionφ:Q→Out NdρLabelID
D101C14 = C7×D20φ: C14/C7C2 ⊆ Out D101402D10:1C14280,21
D102C14 = C7×C5⋊D4φ: C14/C7C2 ⊆ Out D101402D10:2C14280,23

Non-split extensions G=N.Q with N=D10 and Q=C14
extensionφ:Q→Out NdρLabelID
D10.C14 = C14×F5φ: C14/C7C2 ⊆ Out D10704D10.C14280,34
D10.2C14 = D5×C28φ: trivial image1402D10.2C14280,20

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