Extensions 1→N→G→Q→1 with N=C5 and Q=C5×C3⋊S3

Direct product G=N×Q with N=C5 and Q=C5×C3⋊S3
dρLabelID
C3⋊S3×C52225C3:S3xC5^2450,31

Semidirect products G=N:Q with N=C5 and Q=C5×C3⋊S3
extensionφ:Q→Aut NdρLabelID
C5⋊(C5×C3⋊S3) = C5×C3⋊D15φ: C5×C3⋊S3/C3×C15C2 ⊆ Aut C590C5:(C5xC3:S3)450,32

Non-split extensions G=N.Q with N=C5 and Q=C5×C3⋊S3
extensionφ:Q→Aut NdρLabelID
C5.(C5×C3⋊S3) = C3⋊S3×C25central extension (φ=1)225C5.(C5xC3:S3)450,8

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