Extensions 1→N→G→Q→1 with N=C14 and Q=C30

Direct product G=NxQ with N=C14 and Q=C30
dρLabelID
C2xC210420C2xC210420,41

Semidirect products G=N:Q with N=C14 and Q=C30
extensionφ:Q→Aut NdρLabelID
C14:C30 = C10xF7φ: C30/C5C6 ⊆ Aut C14706C14:C30420,17
C14:2C30 = C2xC10xC7:C3φ: C30/C10C3 ⊆ Aut C14140C14:2C30420,31
C14:3C30 = D7xC30φ: C30/C15C2 ⊆ Aut C142102C14:3C30420,34

Non-split extensions G=N.Q with N=C14 and Q=C30
extensionφ:Q→Aut NdρLabelID
C14.C30 = C5xC7:C12φ: C30/C5C6 ⊆ Aut C141406C14.C30420,1
C14.2C30 = C20xC7:C3φ: C30/C10C3 ⊆ Aut C141403C14.2C30420,4
C14.3C30 = C15xDic7φ: C30/C15C2 ⊆ Aut C144202C14.3C30420,5

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