Extensions 1→N→G→Q→1 with N=C₈x3_-¹⁺² and Q=C₂

Direct product G=NxQ with N=C₈x3_-¹⁺² and Q=C₂

		d	ρ	Label	ID
C₂xC₈x3_-¹⁺²		144		C2xC8xES-(3,1)	432,211

Semidirect products G=N:Q with N=C₈x3_-¹⁺² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈x3_-¹⁺²):₁C₂ = D₇₂:C₃	φ: C₂/C₁ → C₂ ⊆ Out C₈x3_-¹⁺²	72	6+	(C8xES-(3,1)):1C2	432,123
(C₈x3_-¹⁺²):₂C₂ = C₇₂:₂C₆	φ: C₂/C₁ → C₂ ⊆ Out C₈x3_-¹⁺²	72	6	(C8xES-(3,1)):2C2	432,122
(C₈x3_-¹⁺²):₃C₂ = C₈xC₉:C₆	φ: C₂/C₁ → C₂ ⊆ Out C₈x3_-¹⁺²	72	6	(C8xES-(3,1)):3C2	432,120
(C₈x3_-¹⁺²):₄C₂ = C₇₂:C₆	φ: C₂/C₁ → C₂ ⊆ Out C₈x3_-¹⁺²	72	6	(C8xES-(3,1)):4C2	432,121
(C₈x3_-¹⁺²):₅C₂ = D₈x3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out C₈x3_-¹⁺²	72	6	(C8xES-(3,1)):5C2	432,217
(C₈x3_-¹⁺²):₆C₂ = SD₁₆x3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out C₈x3_-¹⁺²	72	6	(C8xES-(3,1)):6C2	432,220
(C₈x3_-¹⁺²):₇C₂ = M₄(2)x3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out C₈x3_-¹⁺²	72	6	(C8xES-(3,1)):7C2	432,214

Non-split extensions G=N.Q with N=C₈x3_-¹⁺² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈x3_-¹⁺²).₁C₂ = C₇₂.C₆	φ: C₂/C₁ → C₂ ⊆ Out C₈x3_-¹⁺²	144	6-	(C8xES-(3,1)).1C2	432,119
(C₈x3_-¹⁺²).₂C₂ = C₉:C₄₈	φ: C₂/C₁ → C₂ ⊆ Out C₈x3_-¹⁺²	144	6	(C8xES-(3,1)).2C2	432,31
(C₈x3_-¹⁺²).₃C₂ = Q₁₆x3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out C₈x3_-¹⁺²	144	6	(C8xES-(3,1)).3C2	432,223
(C₈x3_-¹⁺²).₄C₂ = C₁₆x3_-¹⁺²	φ: trivial image	144	3	(C8xES-(3,1)).4C2	432,36

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