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

		d	ρ	Label	ID
C₃⋊S₃×C₅²		225		C3:S3xC5^2	450,31

Semidirect products G=N:Q with N=C₅ and Q=C₅×C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₅×C₃⋊S₃) = C₅×C₃⋊D₁₅	φ: C₅×C₃⋊S₃/C₃×C₁₅ → C₂ ⊆ Aut C₅	90		C5:(C5xC3:S3)	450,32

Non-split extensions G=N.Q with N=C₅ and Q=C₅×C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₅×C₃⋊S₃) = C₃⋊S₃×C₂₅	central extension (φ=1)	225		C5.(C5xC3:S3)	450,8

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