Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₅⋊D₅

Direct product G=N×Q with N=C₃ and Q=C₃×C₅⋊D₅

		d	ρ	Label	ID
C₃²×C₅⋊D₅		225		C3^2xC5:D5	450,27

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₅⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×C₅⋊D₅) = C₃×C₅⋊D₁₅	φ: C₃×C₅⋊D₅/C₅×C₁₅ → C₂ ⊆ Aut C₃	150		C3:(C3xC5:D5)	450,30

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₅⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₅⋊D₅) = C₉×C₅⋊D₅	central extension (φ=1)	225		C3.(C3xC5:D5)	450,15

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C5⋊D5