Extensions 1→N→G→Q→1 with N=C₂×3_-¹⁺² and Q=C₃

Direct product G=N×Q with N=C₂×3_-¹⁺² and Q=C₃

		d	ρ	Label	ID
C₆×3_-¹⁺²		54		C6xES-(3,1)	162,49

Semidirect products G=N:Q with N=C₂×3_-¹⁺² and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×3_-¹⁺²)⋊₁C₃ = C₂×C₃≀C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×3_-¹⁺²	18	3	(C2xES-(3,1)):1C3	162,28
(C₂×3_-¹⁺²)⋊₂C₃ = C₂×He₃.C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×3_-¹⁺²	54	3	(C2xES-(3,1)):2C3	162,29
(C₂×3_-¹⁺²)⋊₃C₃ = C₂×C₉○He₃	φ: trivial image	54	3	(C2xES-(3,1)):3C3	162,50

Non-split extensions G=N.Q with N=C₂×3_-¹⁺² and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×3_-¹⁺²).C₃ = C₂×C₃.He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×3_-¹⁺²	54	3	(C2xES-(3,1)).C3	162,31

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2×3- 1+2 and Q=C3