Extensions 1→N→G→Q→1 with N=D₄×3_-¹⁺² and Q=C₂

Direct product G=N×Q with N=D₄×3_-¹⁺² and Q=C₂

		d	ρ	Label	ID
C₂×D₄×3_-¹⁺²		72		C2xD4xES-(3,1)	432,405

Semidirect products G=N:Q with N=D₄×3_-¹⁺² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×3_-¹⁺²)⋊₁C₂ = D₃₆⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×3_-¹⁺²	72	12+	(D4xES-(3,1)):1C2	432,155
(D₄×3_-¹⁺²)⋊₂C₂ = D₄×C₉⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×3_-¹⁺²	36	12+	(D4xES-(3,1)):2C2	432,362
(D₄×3_-¹⁺²)⋊₃C₂ = Dic₁₈⋊₂C₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×3_-¹⁺²	72	12-	(D4xES-(3,1)):3C2	432,363
(D₄×3_-¹⁺²)⋊₄C₂ = D₈×3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out D₄×3_-¹⁺²	72	6	(D4xES-(3,1)):4C2	432,217
(D₄×3_-¹⁺²)⋊₅C₂ = C₄○D₄×3_-¹⁺²	φ: trivial image	72	6	(D4xES-(3,1)):5C2	432,411

Non-split extensions G=N.Q with N=D₄×3_-¹⁺² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×3_-¹⁺²).₁C₂ = Dic₁₈⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×3_-¹⁺²	72	12-	(D4xES-(3,1)).1C2	432,154
(D₄×3_-¹⁺²).₂C₂ = SD₁₆×3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out D₄×3_-¹⁺²	72	6	(D4xES-(3,1)).2C2	432,220

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