Extensions 1→N→G→Q→1 with N=C₅ and Q=S₃×C₁₅

Direct product G=N×Q with N=C₅ and Q=S₃×C₁₅

		d	ρ	Label	ID
S₃×C₅×C₁₅		150		S3xC5xC15	450,28

Semidirect products G=N:Q with N=C₅ and Q=S₃×C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(S₃×C₁₅) = C₁₅×D₁₅	φ: S₃×C₁₅/C₃×C₁₅ → C₂ ⊆ Aut C₅	30	2	C5:(S3xC15)	450,29

Non-split extensions G=N.Q with N=C₅ and Q=S₃×C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(S₃×C₁₅) = S₃×C₇₅	central extension (φ=1)	150	2	C5.(S3xC15)	450,6

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Extensions 1→N→G→Q→1 with N=C5 and Q=S3×C15