Extensions 1→N→G→Q→1 with N=C₅×He₃ and Q=C₃

Direct product G=N×Q with N=C₅×He₃ and Q=C₃

		d	ρ	Label	ID
C₁₅×He₃		135		C15xHe3	405,12

Semidirect products G=N:Q with N=C₅×He₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×He₃)⋊₁C₃ = C₅×C₃≀C₃	φ: C₃/C₁ → C₃ ⊆ Out C₅×He₃	45	3	(C5xHe3):1C3	405,7
(C₅×He₃)⋊₂C₃ = C₅×He₃⋊C₃	φ: C₃/C₁ → C₃ ⊆ Out C₅×He₃	135	3	(C5xHe3):2C3	405,9

Non-split extensions G=N.Q with N=C₅×He₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×He₃).C₃ = C₅×He₃.C₃	φ: C₃/C₁ → C₃ ⊆ Out C₅×He₃	135	3	(C5xHe3).C3	405,8
(C₅×He₃).₂C₃ = C₅×C₉○He₃	φ: trivial image	135	3	(C5xHe3).2C3	405,14

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Extensions 1→N→G→Q→1 with N=C5×He3 and Q=C3