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		C2xQ8xA4	192,1499

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

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×A₄)⋊₁C₂ = Q₈⋊₃S₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×A₄	24	6	(Q8xA4):1C2	192,976
(Q₈×A₄)⋊₂C₂ = Q₈×S₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×A₄	24	6-	(Q8xA4):2C2	192,1477
(Q₈×A₄)⋊₃C₂ = Q₈⋊₄S₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×A₄	24	6	(Q8xA4):3C2	192,1478
(Q₈×A₄)⋊₄C₂ = A₄×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×A₄	24	6	(Q8xA4):4C2	192,1015
(Q₈×A₄)⋊₅C₂ = A₄×C₄○D₄	φ: trivial image	24	6	(Q8xA4):5C2	192,1501

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 = A₄⋊₂Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×A₄	48	6-	(Q8xA4).1C2	192,975
(Q₈×A₄).₂C₂ = A₄×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×A₄	48	6-	(Q8xA4).2C2	192,1016

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