Extensions 1→N→G→Q→1 with N=C₂×3_-¹⁺² and Q=C₆

Direct product G=N×Q with N=C₂×3_-¹⁺² and Q=C₆

		d	ρ	Label	ID
C₂×C₆×3_-¹⁺²		108		C2xC6xES-(3,1)	324,153

Semidirect products G=N:Q with N=C₂×3_-¹⁺² and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×3_-¹⁺²)⋊₁C₆ = C₂²×C₃≀C₃	φ: C₆/C₂ → C₃ ⊆ Out C₂×3_-¹⁺²	36		(C2xES-(3,1)):1C6	324,86
(C₂×3_-¹⁺²)⋊₂C₆ = C₂²×He₃.C₃	φ: C₆/C₂ → C₃ ⊆ Out C₂×3_-¹⁺²	108		(C2xES-(3,1)):2C6	324,87
(C₂×3_-¹⁺²)⋊₃C₆ = C₆×C₉⋊C₆	φ: C₆/C₃ → C₂ ⊆ Out C₂×3_-¹⁺²	36	6	(C2xES-(3,1)):3C6	324,140
(C₂×3_-¹⁺²)⋊₄C₆ = C₂²×C₉○He₃	φ: trivial image	108		(C2xES-(3,1)):4C6	324,154

Non-split extensions G=N.Q with N=C₂×3_-¹⁺² and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×3_-¹⁺²).₁C₆ = C₄×C₃≀C₃	φ: C₆/C₂ → C₃ ⊆ Out C₂×3_-¹⁺²	36	3	(C2xES-(3,1)).1C6	324,31
(C₂×3_-¹⁺²).₂C₆ = C₄×He₃.C₃	φ: C₆/C₂ → C₃ ⊆ Out C₂×3_-¹⁺²	108	3	(C2xES-(3,1)).2C6	324,32
(C₂×3_-¹⁺²).₃C₆ = C₄×C₃.He₃	φ: C₆/C₂ → C₃ ⊆ Out C₂×3_-¹⁺²	108	3	(C2xES-(3,1)).3C6	324,34
(C₂×3_-¹⁺²).₄C₆ = C₂²×C₃.He₃	φ: C₆/C₂ → C₃ ⊆ Out C₂×3_-¹⁺²	108		(C2xES-(3,1)).4C6	324,89
(C₂×3_-¹⁺²).₅C₆ = C₃×C₉⋊C₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₂×3_-¹⁺²	36	6	(C2xES-(3,1)).5C6	324,94
(C₂×3_-¹⁺²).₆C₆ = C₁₂×3_-¹⁺²	φ: trivial image	108		(C2xES-(3,1)).6C6	324,107
(C₂×3_-¹⁺²).₇C₆ = C₄×C₉○He₃	φ: trivial image	108	3	(C2xES-(3,1)).7C6	324,108

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