Extensions 1→N→G→Q→1 with N=C₂x3_-¹⁺² and Q=C₃

Direct product G=NxQ with N=C₂x3_-¹⁺² and Q=C₃

		d	ρ	Label	ID
C₆x3_-¹⁺²		54		C6xES-(3,1)	162,49

Semidirect products G=N:Q with N=C₂x3_-¹⁺² and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂x3_-¹⁺²):₁C₃ = C₂xC₃wrC₃	φ: C₃/C₁ → C₃ ⊆ Out C₂x3_-¹⁺²	18	3	(C2xES-(3,1)):1C3	162,28
(C₂x3_-¹⁺²):₂C₃ = C₂xHe₃.C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂x3_-¹⁺²	54	3	(C2xES-(3,1)):2C3	162,29
(C₂x3_-¹⁺²):₃C₃ = C₂xC₉oHe₃	φ: trivial image	54	3	(C2xES-(3,1)):3C3	162,50

Non-split extensions G=N.Q with N=C₂x3_-¹⁺² and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂x3_-¹⁺²).C₃ = C₂xC₃.He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂x3_-¹⁺²	54	3	(C2xES-(3,1)).C3	162,31

Extensions 1→N→G→Q→1 with N=C2x3- 1+2 and Q=C3