Extensions 1→N→G→Q→1 with N=C39 and Q=A4

Direct product G=NxQ with N=C39 and Q=A4
dρLabelID
A4xC391563A4xC39468,48

Semidirect products G=N:Q with N=C39 and Q=A4
extensionφ:Q→Aut NdρLabelID
C39:A4 = C3xC13:A4φ: A4/C22C3 ⊆ Aut C391563C39:A4468,49

Non-split extensions G=N.Q with N=C39 and Q=A4
extensionφ:Q→Aut NdρLabelID
C39.A4 = C39.A4φ: A4/C22C3 ⊆ Aut C392343C39.A4468,14
C39.2A4 = C13xC3.A4central extension (φ=1)2343C39.2A4468,13

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