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

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

		d	ρ	Label	ID
A₄×C₂×C₈		48		A4xC2xC8	192,1010

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×A₄)⋊₁C₂ = A₄⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×A₄	24	6+	(C8xA4):1C2	192,961
(C₈×A₄)⋊₂C₂ = C₈⋊₂S₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×A₄	24	6	(C8xA4):2C2	192,960
(C₈×A₄)⋊₃C₂ = A₄×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×A₄	24	6+	(C8xA4):3C2	192,1014
(C₈×A₄)⋊₄C₂ = C₈×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×A₄	24	3	(C8xA4):4C2	192,958
(C₈×A₄)⋊₅C₂ = C₈⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×A₄	24	6	(C8xA4):5C2	192,959
(C₈×A₄)⋊₆C₂ = A₄×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×A₄	24	6	(C8xA4):6C2	192,1015
(C₈×A₄)⋊₇C₂ = A₄×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×A₄	24	6	(C8xA4):7C2	192,1011

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×A₄).₁C₂ = A₄⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×A₄	48	6-	(C8xA4).1C2	192,957
(C₈×A₄).₂C₂ = A₄×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×A₄	48	6-	(C8xA4).2C2	192,1016
(C₈×A₄).₃C₂ = A₄⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×A₄	48	3	(C8xA4).3C2	192,186
(C₈×A₄).₄C₂ = A₄×C₁₆	φ: trivial image	48	3	(C8xA4).4C2	192,203

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