Extensions 1→N→G→Q→1 with N=C3 and Q=C15:3C8

Direct product G=NxQ with N=C3 and Q=C15:3C8
dρLabelID
C3xC15:3C81202C3xC15:3C8360,35

Semidirect products G=N:Q with N=C3 and Q=C15:3C8
extensionφ:Q→Aut NdρLabelID
C3:(C15:3C8) = C60.S3φ: C15:3C8/C60C2 ⊆ Aut C3360C3:(C15:3C8)360,37

Non-split extensions G=N.Q with N=C3 and Q=C15:3C8
extensionφ:Q→Aut NdρLabelID
C3.(C15:3C8) = C45:3C8φ: C15:3C8/C60C2 ⊆ Aut C33602C3.(C15:3C8)360,3

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