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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₅⋊D₅)⋊C₃ = C₃×C₅²⋊C₆	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₅⋊D₅	45	6	(C3xC5:D5):C3	450,22

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₅⋊D₅).C₃ = C₅²⋊C₁₈	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₅⋊D₅	45	6	(C3xC5:D5).C3	450,12
(C₃×C₅⋊D₅).₂C₃ = C₉×C₅⋊D₅	φ: trivial image	225		(C3xC5:D5).2C3	450,15

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