Extensions 1→N→G→Q→1 with N=A₄⋊C₈ and Q=C₂

Direct product G=N×Q with N=A₄⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₂×A₄⋊C₈		48		C2xA4:C8	192,967

Semidirect products G=N:Q with N=A₄⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
A₄⋊C₈⋊₁C₂ = A₄⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out A₄⋊C₈	24	6	A4:C8:1C2	192,973
A₄⋊C₈⋊₂C₂ = D₄⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄⋊C₈	24	6+	A4:C8:2C2	192,974
A₄⋊C₈⋊₃C₂ = Q₈⋊₃S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄⋊C₈	24	6	A4:C8:3C2	192,976
A₄⋊C₈⋊₄C₂ = C₈⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄⋊C₈	24	6	A4:C8:4C2	192,959
A₄⋊C₈⋊₅C₂ = A₄⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out A₄⋊C₈	24	6	A4:C8:5C2	192,968
A₄⋊C₈⋊₆C₂ = C₈×S₄	φ: trivial image	24	3	A4:C8:6C2	192,958

Non-split extensions G=N.Q with N=A₄⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
A₄⋊C₈.C₂ = A₄⋊₂Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out A₄⋊C₈	48	6-	A4:C8.C2	192,975

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