Extensions 1→N→G→Q→1 with N=Q₈x3_-¹⁺² and Q=C₂

Direct product G=NxQ with N=Q₈x3_-¹⁺² and Q=C₂

		d	ρ	Label	ID
C₂xQ₈x3_-¹⁺²		144		C2xQ8xES-(3,1)	432,408

Semidirect products G=N:Q with N=Q₈x3_-¹⁺² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈x3_-¹⁺²):₁C₂ = D₃₆.C₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈x3_-¹⁺²	72	12+	(Q8xES-(3,1)):1C2	432,163
(Q₈x3_-¹⁺²):₂C₂ = Q₈xC₉:C₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈x3_-¹⁺²	72	12-	(Q8xES-(3,1)):2C2	432,370
(Q₈x3_-¹⁺²):₃C₂ = D₃₆:₃C₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈x3_-¹⁺²	72	12+	(Q8xES-(3,1)):3C2	432,371
(Q₈x3_-¹⁺²):₄C₂ = SD₁₆x3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out Q₈x3_-¹⁺²	72	6	(Q8xES-(3,1)):4C2	432,220
(Q₈x3_-¹⁺²):₅C₂ = C₄oD₄x3_-¹⁺²	φ: trivial image	72	6	(Q8xES-(3,1)):5C2	432,411

Non-split extensions G=N.Q with N=Q₈x3_-¹⁺² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈x3_-¹⁺²).₁C₂ = Dic₁₈.C₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈x3_-¹⁺²	144	12-	(Q8xES-(3,1)).1C2	432,162
(Q₈x3_-¹⁺²).₂C₂ = Q₁₆x3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out Q₈x3_-¹⁺²	144	6	(Q8xES-(3,1)).2C2	432,223

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