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

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

Semidirect products G=N:Q with N=C30 and Q=C14
extensionφ:Q→Aut NdρLabelID
C30:1C14 = C14xD15φ: C14/C7C2 ⊆ Aut C302102C30:1C14420,39
C30:2C14 = D5xC42φ: C14/C7C2 ⊆ Aut C302102C30:2C14420,35
C30:3C14 = S3xC70φ: C14/C7C2 ⊆ Aut C302102C30:3C14420,37

Non-split extensions G=N.Q with N=C30 and Q=C14
extensionφ:Q→Aut NdρLabelID
C30.1C14 = C7xDic15φ: C14/C7C2 ⊆ Aut C304202C30.1C14420,10
C30.2C14 = Dic5xC21φ: C14/C7C2 ⊆ Aut C304202C30.2C14420,6
C30.3C14 = Dic3xC35φ: C14/C7C2 ⊆ Aut C304202C30.3C14420,8

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