Extensions 1→N→G→Q→1 with N=Q₈⋊A₄ and Q=C₂

Direct product G=N×Q with N=Q₈⋊A₄ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈⋊A₄		48		C2xQ8:A4	192,1506

Semidirect products G=N:Q with N=Q₈⋊A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊A₄⋊₁C₂ = C₂⁴.A₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊A₄	24	6	Q8:A4:1C2	192,195
Q₈⋊A₄⋊₂C₂ = Q₈⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊A₄	24	6	Q8:A4:2C2	192,1490
Q₈⋊A₄⋊₃C₂ = C₄○D₄⋊A₄	φ: trivial image	24	6	Q8:A4:3C2	192,1507

Non-split extensions G=N.Q with N=Q₈⋊A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊A₄.₁C₂ = (C₂²×C₄).A₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊A₄	24	6-	Q8:A4.1C2	192,196
Q₈⋊A₄.₂C₂ = Q₈.₁S₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊A₄	48	6-	Q8:A4.2C2	192,1489

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Extensions 1→N→G→Q→1 with N=Q8⋊A4 and Q=C2