Extensions 1→N→G→Q→1 with N=C15 and Q=C30

Direct product G=N×Q with N=C15 and Q=C30
dρLabelID
C15×C30450C15xC30450,34

Semidirect products G=N:Q with N=C15 and Q=C30
extensionφ:Q→Aut NdρLabelID
C151C30 = C15×D15φ: C30/C15C2 ⊆ Aut C15302C15:1C30450,29
C152C30 = D5×C3×C15φ: C30/C15C2 ⊆ Aut C1590C15:2C30450,26
C153C30 = S3×C5×C15φ: C30/C15C2 ⊆ Aut C15150C15:3C30450,28

Non-split extensions G=N.Q with N=C15 and Q=C30
extensionφ:Q→Aut NdρLabelID
C15.1C30 = D5×C45φ: C30/C15C2 ⊆ Aut C15902C15.1C30450,14
C15.2C30 = S3×C75φ: C30/C15C2 ⊆ Aut C151502C15.2C30450,6

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