Extensions 1→N→G→Q→1 with N=3_-¹⁺² and Q=C₆

Direct product G=N×Q with N=3_-¹⁺² and Q=C₆

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

Semidirect products G=N:Q with N=3_-¹⁺² and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
3_-¹⁺²⋊₁C₆ = C₂×C₃≀C₃	φ: C₆/C₂ → C₃ ⊆ Out 3_-¹⁺²	18	3	ES-(3,1):1C6	162,28
3_-¹⁺²⋊₂C₆ = C₂×He₃.C₃	φ: C₆/C₂ → C₃ ⊆ Out 3_-¹⁺²	54	3	ES-(3,1):2C6	162,29
3_-¹⁺²⋊₃C₆ = C₃×C₉⋊C₆	φ: C₆/C₃ → C₂ ⊆ Out 3_-¹⁺²	18	6	ES-(3,1):3C6	162,36
3_-¹⁺²⋊₄C₆ = C₂×C₉○He₃	φ: trivial image	54	3	ES-(3,1):4C6	162,50

Non-split extensions G=N.Q with N=3_-¹⁺² and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
3_-¹⁺².C₆ = C₂×C₃.He₃	φ: C₆/C₂ → C₃ ⊆ Out 3_-¹⁺²	54	3	ES-(3,1).C6	162,31

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Extensions 1→N→G→Q→1 with N=3- 1+2 and Q=C6