Extensions 1→N→G→Q→1 with N=C14 and Q=Dic5

Direct product G=N×Q with N=C14 and Q=Dic5
dρLabelID
C14×Dic5280C14xDic5280,22

Semidirect products G=N:Q with N=C14 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
C14⋊Dic5 = C2×Dic35φ: Dic5/C10C2 ⊆ Aut C14280C14:Dic5280,27

Non-split extensions G=N.Q with N=C14 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
C14.Dic5 = C353C8φ: Dic5/C10C2 ⊆ Aut C142802C14.Dic5280,3
C14.2Dic5 = C7×C52C8central extension (φ=1)2802C14.2Dic5280,1

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