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

Direct product G=N×Q with N=C₅ and Q=C₅×S₃

		d	ρ	Label	ID
S₃×C₅²		75		S3xC5^2	150,10

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₅×S₃) = C₅×D₁₅	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₅	30	2	C5:(C5xS3)	150,11

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₅×S₃) = S₃×C₂₅	central extension (φ=1)	75	2	C5.(C5xS3)	150,1

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