Extensions 1→N→G→Q→1 with N=C₅×3_-¹⁺² and Q=C₃

Direct product G=N×Q with N=C₅×3_-¹⁺² and Q=C₃

		d	ρ	Label	ID
C₁₅×3_-¹⁺²		135		C15xES-(3,1)	405,13

Semidirect products G=N:Q with N=C₅×3_-¹⁺² and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×3_-¹⁺²)⋊₁C₃ = C₅×C₃≀C₃	φ: C₃/C₁ → C₃ ⊆ Out C₅×3_-¹⁺²	45	3	(C5xES-(3,1)):1C3	405,7
(C₅×3_-¹⁺²)⋊₂C₃ = C₅×He₃.C₃	φ: C₃/C₁ → C₃ ⊆ Out C₅×3_-¹⁺²	135	3	(C5xES-(3,1)):2C3	405,8
(C₅×3_-¹⁺²)⋊₃C₃ = C₅×C₉○He₃	φ: trivial image	135	3	(C5xES-(3,1)):3C3	405,14

Non-split extensions G=N.Q with N=C₅×3_-¹⁺² and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×3_-¹⁺²).C₃ = C₅×C₃.He₃	φ: C₃/C₁ → C₃ ⊆ Out C₅×3_-¹⁺²	135	3	(C5xES-(3,1)).C3	405,10

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Extensions 1→N→G→Q→1 with N=C5×3- 1+2 and Q=C3