Extensions 1→N→G→Q→1 with N=C₂xHe₃ and Q=C₃

Direct product G=NxQ with N=C₂xHe₃ and Q=C₃

		d	ρ	Label	ID
C₆xHe₃		54		C6xHe3	162,48

Semidirect products G=N:Q with N=C₂xHe₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xHe₃):₁C₃ = C₂xC₃wrC₃	φ: C₃/C₁ → C₃ ⊆ Out C₂xHe₃	18	3	(C2xHe3):1C3	162,28
(C₂xHe₃):₂C₃ = C₂xHe₃:C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂xHe₃	54	3	(C2xHe3):2C3	162,30

Non-split extensions G=N.Q with N=C₂xHe₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xHe₃).C₃ = C₂xHe₃.C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂xHe₃	54	3	(C2xHe3).C3	162,29
(C₂xHe₃).₂C₃ = C₂xC₉oHe₃	φ: trivial image	54	3	(C2xHe3).2C3	162,50

Extensions 1→N→G→Q→1 with N=C2xHe3 and Q=C3