Extensions 1→N→G→Q→1 with N=C₂³×3_-¹⁺² and Q=C₂

Direct product G=N×Q with N=C₂³×3_-¹⁺² and Q=C₂

		d	ρ	Label	ID
C₂⁴×3_-¹⁺²		144		C2^4xES-(3,1)	432,564

Semidirect products G=N:Q with N=C₂³×3_-¹⁺² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×3_-¹⁺²)⋊₁C₂ = C₂×Dic₉⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³×3_-¹⁺²	72		(C2^3xES-(3,1)):1C2	432,379
(C₂³×3_-¹⁺²)⋊₂C₂ = C₂³×C₉⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³×3_-¹⁺²	72		(C2^3xES-(3,1)):2C2	432,559
(C₂³×3_-¹⁺²)⋊₃C₂ = C₂×D₄×3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out C₂³×3_-¹⁺²	72		(C2^3xES-(3,1)):3C2	432,405

Non-split extensions G=N.Q with N=C₂³×3_-¹⁺² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×3_-¹⁺²).₁C₂ = C₆².₂₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³×3_-¹⁺²	72		(C2^3xES-(3,1)).1C2	432,167
(C₂³×3_-¹⁺²).₂C₂ = C₂²×C₉⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³×3_-¹⁺²	144		(C2^3xES-(3,1)).2C2	432,378
(C₂³×3_-¹⁺²).₃C₂ = C₂²⋊C₄×3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out C₂³×3_-¹⁺²	72		(C2^3xES-(3,1)).3C2	432,205
(C₂³×3_-¹⁺²).₄C₂ = C₂²×C₄×3_-¹⁺²	φ: trivial image	144		(C2^3xES-(3,1)).4C2	432,402

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