Extensions 1→N→G→Q→1 with N=C15 and Q=C6

Direct product G=NxQ with N=C15 and Q=C6
dρLabelID
C3xC3090C3xC3090,10

Semidirect products G=N:Q with N=C15 and Q=C6
extensionφ:Q→Aut NdρLabelID
C15:1C6 = C3xD15φ: C6/C3C2 ⊆ Aut C15302C15:1C690,7
C15:2C6 = C32xD5φ: C6/C3C2 ⊆ Aut C1545C15:2C690,5
C15:3C6 = S3xC15φ: C6/C3C2 ⊆ Aut C15302C15:3C690,6

Non-split extensions G=N.Q with N=C15 and Q=C6
extensionφ:Q→Aut NdρLabelID
C15.C6 = C9xD5φ: C6/C3C2 ⊆ Aut C15452C15.C690,2

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