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

Direct product G=N×Q with N=C26 and Q=C3⋊S3
dρLabelID
C3⋊S3×C26234C3:S3xC26468,53

Semidirect products G=N:Q with N=C26 and Q=C3⋊S3
extensionφ:Q→Aut NdρLabelID
C26⋊(C3⋊S3) = C2×C3⋊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) = C13×C3⋊Dic3central extension (φ=1)468C26.2(C3:S3)468,26

׿
×
𝔽