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

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

		d	ρ	Label	ID
C₂×A₄⋊Q₈		48		C2xA4:Q8	192,1468

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

extension	φ:Q→Out N	d	ρ	Label	ID
A₄⋊Q₈⋊₁C₂ = C₈⋊₂S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄⋊Q₈	24	6	A4:Q8:1C2	192,960
A₄⋊Q₈⋊₂C₂ = A₄⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out A₄⋊Q₈	24	6	A4:Q8:2C2	192,973
A₄⋊Q₈⋊₃C₂ = D₄⋊₂S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄⋊Q₈	24	6	A4:Q8:3C2	192,1473
A₄⋊Q₈⋊₄C₂ = Q₈×S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄⋊Q₈	24	6-	A4:Q8:4C2	192,1477
A₄⋊Q₈⋊₅C₂ = C₂⁴.₁₀D₆	φ: trivial image	24	6	A4:Q8:5C2	192,1471

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

extension	φ:Q→Out N	d	ρ	Label	ID
A₄⋊Q₈.₁C₂ = A₄⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out A₄⋊Q₈	48	6-	A4:Q8.1C2	192,957
A₄⋊Q₈.₂C₂ = A₄⋊₂Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out A₄⋊Q₈	48	6-	A4:Q8.2C2	192,975

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