Extensions 1→N→G→Q→1 with N=3_-¹⁺² and Q=C₁₂

Direct product G=N×Q with N=3_-¹⁺² and Q=C₁₂

		d	ρ	Label	ID
C₁₂×3_-¹⁺²		108		C12xES-(3,1)	324,107

Semidirect products G=N:Q with N=3_-¹⁺² and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
3_-¹⁺²⋊₁C₁₂ = C₄×C₃≀C₃	φ: C₁₂/C₄ → C₃ ⊆ Out 3_-¹⁺²	36	3	ES-(3,1):1C12	324,31
3_-¹⁺²⋊₂C₁₂ = C₄×He₃.C₃	φ: C₁₂/C₄ → C₃ ⊆ Out 3_-¹⁺²	108	3	ES-(3,1):2C12	324,32
3_-¹⁺²⋊₃C₁₂ = C₃×C₉⋊C₁₂	φ: C₁₂/C₆ → C₂ ⊆ Out 3_-¹⁺²	36	6	ES-(3,1):3C12	324,94
3_-¹⁺²⋊₄C₁₂ = C₄×C₉○He₃	φ: trivial image	108	3	ES-(3,1):4C12	324,108

Non-split extensions G=N.Q with N=3_-¹⁺² and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
3_-¹⁺².C₁₂ = C₄×C₃.He₃	φ: C₁₂/C₄ → C₃ ⊆ Out 3_-¹⁺²	108	3	ES-(3,1).C12	324,34

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Extensions 1→N→G→Q→1 with N=3- 1+2 and Q=C12