Extensions 1→N→G→Q→1 with N=C26 and Q=C3:S3

Direct product G=NxQ with N=C26 and Q=C3:S3
dρLabelID
C3:S3xC26234C3:S3xC26468,53

Semidirect products G=N:Q with N=C26 and Q=C3:S3
extensionφ:Q→Aut NdρLabelID
C26:(C3:S3) = C2xC3:D39φ: C3:S3/C32C2 ⊆ Aut C26234C26:(C3:S3)468,54

Non-split extensions G=N.Q with N=C26 and Q=C3:S3
extensionφ:Q→Aut NdρLabelID
C26.(C3:S3) = C3:Dic39φ: C3:S3/C32C2 ⊆ Aut C26468C26.(C3:S3)468,27
C26.2(C3:S3) = C13xC3:Dic3central extension (φ=1)468C26.2(C3:S3)468,26

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