Extensions 1→N→G→Q→1 with N=C15 and Q=C18

Direct product G=N×Q with N=C15 and Q=C18
dρLabelID
C3×C90270C3xC90270,20

Semidirect products G=N:Q with N=C15 and Q=C18
extensionφ:Q→Aut NdρLabelID
C151C18 = C9×D15φ: C18/C9C2 ⊆ Aut C15902C15:1C18270,13
C152C18 = D5×C3×C9φ: C18/C9C2 ⊆ Aut C15135C15:2C18270,5
C153C18 = S3×C45φ: C18/C9C2 ⊆ Aut C15902C15:3C18270,9

Non-split extensions G=N.Q with N=C15 and Q=C18
extensionφ:Q→Aut NdρLabelID
C15.C18 = D5×C27φ: C18/C9C2 ⊆ Aut C151352C15.C18270,2

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