Extensions 1→N→G→Q→1 with N=C₂×C₄×3_-¹⁺² and Q=C₂

Direct product G=N×Q with N=C₂×C₄×3_-¹⁺² and Q=C₂

		d	ρ	Label	ID
C₂²×C₄×3_-¹⁺²		144		C2^2xC4xES-(3,1)	432,402

Semidirect products G=N:Q with N=C₂×C₄×3_-¹⁺² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₄×3_-¹⁺²)⋊₁C₂ = D₃₆⋊₆C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×3_-¹⁺²	72	6	(C2xC4xES-(3,1)):1C2	432,355
(C₂×C₄×3_-¹⁺²)⋊₂C₂ = C₂×D₃₆⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×3_-¹⁺²	72		(C2xC4xES-(3,1)):2C2	432,354
(C₂×C₄×3_-¹⁺²)⋊₃C₂ = C₂×C₄×C₉⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×3_-¹⁺²	72		(C2xC4xES-(3,1)):3C2	432,353
(C₂×C₄×3_-¹⁺²)⋊₄C₂ = C₂×D₄×3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×3_-¹⁺²	72		(C2xC4xES-(3,1)):4C2	432,405
(C₂×C₄×3_-¹⁺²)⋊₅C₂ = C₄○D₄×3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×3_-¹⁺²	72	6	(C2xC4xES-(3,1)):5C2	432,411
(C₂×C₄×3_-¹⁺²)⋊₆C₂ = D₁₈⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×3_-¹⁺²	72		(C2xC4xES-(3,1)):6C2	432,147
(C₂×C₄×3_-¹⁺²)⋊₇C₂ = C₂²⋊C₄×3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×3_-¹⁺²	72		(C2xC4xES-(3,1)):7C2	432,205

Non-split extensions G=N.Q with N=C₂×C₄×3_-¹⁺² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₄×3_-¹⁺²).₁C₂ = C₃₆.C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×3_-¹⁺²	72	6	(C2xC4xES-(3,1)).1C2	432,143
(C₂×C₄×3_-¹⁺²).₂C₂ = C₃₆⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×3_-¹⁺²	144		(C2xC4xES-(3,1)).2C2	432,146
(C₂×C₄×3_-¹⁺²).₃C₂ = C₂×C₃₆.C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×3_-¹⁺²	144		(C2xC4xES-(3,1)).3C2	432,352
(C₂×C₄×3_-¹⁺²).₄C₂ = C₂×C₉⋊C₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×3_-¹⁺²	144		(C2xC4xES-(3,1)).4C2	432,142
(C₂×C₄×3_-¹⁺²).₅C₂ = C₄×C₉⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×3_-¹⁺²	144		(C2xC4xES-(3,1)).5C2	432,144
(C₂×C₄×3_-¹⁺²).₆C₂ = M₄(2)×3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×3_-¹⁺²	72	6	(C2xC4xES-(3,1)).6C2	432,214
(C₂×C₄×3_-¹⁺²).₇C₂ = C₂×Q₈×3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×3_-¹⁺²	144		(C2xC4xES-(3,1)).7C2	432,408
(C₂×C₄×3_-¹⁺²).₈C₂ = Dic₉⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×3_-¹⁺²	144		(C2xC4xES-(3,1)).8C2	432,145
(C₂×C₄×3_-¹⁺²).₉C₂ = C₄⋊C₄×3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×3_-¹⁺²	144		(C2xC4xES-(3,1)).9C2	432,208
(C₂×C₄×3_-¹⁺²).₁₀C₂ = C₄²×3_-¹⁺²	φ: trivial image	144		(C2xC4xES-(3,1)).10C2	432,202
(C₂×C₄×3_-¹⁺²).₁₁C₂ = C₂×C₈×3_-¹⁺²	φ: trivial image	144		(C2xC4xES-(3,1)).11C2	432,211

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