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

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

		d	ρ	Label	ID
C₂×C₄×3_-¹⁺²		72		C2xC4xES-(3,1)	216,75

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×3_-¹⁺²)⋊₁C₂ = D₃₆⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×3_-¹⁺²	36	6+	(C4xES-(3,1)):1C2	216,54
(C₄×3_-¹⁺²)⋊₂C₂ = C₄×C₉⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×3_-¹⁺²	36	6	(C4xES-(3,1)):2C2	216,53
(C₄×3_-¹⁺²)⋊₃C₂ = D₄×3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out C₄×3_-¹⁺²	36	6	(C4xES-(3,1)):3C2	216,78

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×3_-¹⁺²).₁C₂ = C₃₆.C₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×3_-¹⁺²	72	6-	(C4xES-(3,1)).1C2	216,52
(C₄×3_-¹⁺²).₂C₂ = C₉⋊C₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×3_-¹⁺²	72	6	(C4xES-(3,1)).2C2	216,15
(C₄×3_-¹⁺²).₃C₂ = Q₈×3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out C₄×3_-¹⁺²	72	6	(C4xES-(3,1)).3C2	216,81
(C₄×3_-¹⁺²).₄C₂ = C₈×3_-¹⁺²	φ: trivial image	72	3	(C4xES-(3,1)).4C2	216,20

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