Extensions 1→N→G→Q→1 with N=C₅xHe₃ and Q=C₃

Direct product G=NxQ with N=C₅xHe₃ and Q=C₃

		d	ρ	Label	ID
C₁₅xHe₃		135		C15xHe3	405,12

Semidirect products G=N:Q with N=C₅xHe₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xHe₃):₁C₃ = C₅xC₃wrC₃	φ: C₃/C₁ → C₃ ⊆ Out C₅xHe₃	45	3	(C5xHe3):1C3	405,7
(C₅xHe₃):₂C₃ = C₅xHe₃:C₃	φ: C₃/C₁ → C₃ ⊆ Out C₅xHe₃	135	3	(C5xHe3):2C3	405,9

Non-split extensions G=N.Q with N=C₅xHe₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xHe₃).C₃ = C₅xHe₃.C₃	φ: C₃/C₁ → C₃ ⊆ Out C₅xHe₃	135	3	(C5xHe3).C3	405,8
(C₅xHe₃).₂C₃ = C₅xC₉oHe₃	φ: trivial image	135	3	(C5xHe3).2C3	405,14

Extensions 1→N→G→Q→1 with N=C5xHe3 and Q=C3