Extensions 1→N→G→Q→1 with N=C6 and Q=S3xC13

Direct product G=NxQ with N=C6 and Q=S3xC13
dρLabelID
S3xC781562S3xC78468,51

Semidirect products G=N:Q with N=C6 and Q=S3xC13
extensionφ:Q→Aut NdρLabelID
C6:(S3xC13) = C3:S3xC26φ: S3xC13/C39C2 ⊆ Aut C6234C6:(S3xC13)468,53

Non-split extensions G=N.Q with N=C6 and Q=S3xC13
extensionφ:Q→Aut NdρLabelID
C6.1(S3xC13) = C13xDic9φ: S3xC13/C39C2 ⊆ Aut C64682C6.1(S3xC13)468,3
C6.2(S3xC13) = D9xC26φ: S3xC13/C39C2 ⊆ Aut C62342C6.2(S3xC13)468,16
C6.3(S3xC13) = C13xC3:Dic3φ: S3xC13/C39C2 ⊆ Aut C6468C6.3(S3xC13)468,26
C6.4(S3xC13) = Dic3xC39central extension (φ=1)1562C6.4(S3xC13)468,24

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