Extensions 1→N→G→Q→1 with N=C₂²×3_-¹⁺² and Q=C₂

Direct product G=N×Q with N=C₂²×3_-¹⁺² and Q=C₂

		d	ρ	Label	ID
C₂³×3_-¹⁺²		72		C2^3xES-(3,1)	216,116

Semidirect products G=N:Q with N=C₂²×3_-¹⁺² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×3_-¹⁺²)⋊₁C₂ = Dic₉⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×3_-¹⁺²	36	6	(C2^2xES-(3,1)):1C2	216,62
(C₂²×3_-¹⁺²)⋊₂C₂ = C₂²×C₉⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×3_-¹⁺²	36		(C2^2xES-(3,1)):2C2	216,111
(C₂²×3_-¹⁺²)⋊₃C₂ = D₄×3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out C₂²×3_-¹⁺²	36	6	(C2^2xES-(3,1)):3C2	216,78

Non-split extensions G=N.Q with N=C₂²×3_-¹⁺² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×3_-¹⁺²).C₂ = C₂×C₉⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²×3_-¹⁺²	72		(C2^2xES-(3,1)).C2	216,61
(C₂²×3_-¹⁺²).₂C₂ = C₂×C₄×3_-¹⁺²	φ: trivial image	72		(C2^2xES-(3,1)).2C2	216,75

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Extensions 1→N→G→Q→1 with N=C22×3- 1+2 and Q=C2