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

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

		d	ρ	Label	ID
C₂×Q₈×A₄		48		C2xQ8xA4	192,1499

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈)⋊₁A₄ = C₂⁴.₇A₄	φ: A₄/C₁ → A₄ ⊆ Out C₂×Q₈	16		(C2xQ8):1A4	192,1021
(C₂×Q₈)⋊₂A₄ = C₂⁴⋊₅A₄	φ: A₄/C₁ → A₄ ⊆ Out C₂×Q₈	16		(C2xQ8):2A4	192,1024
(C₂×Q₈)⋊₃A₄ = C₂×Q₈⋊A₄	φ: A₄/C₂² → C₃ ⊆ Out C₂×Q₈	48		(C2xQ8):3A4	192,1506
(C₂×Q₈)⋊₄A₄ = C₂×C₂³⋊A₄	φ: A₄/C₂² → C₃ ⊆ Out C₂×Q₈	16		(C2xQ8):4A4	192,1508

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈).A₄ = Q₈⋊SL₂(𝔽₃)	φ: A₄/C₂² → C₃ ⊆ Out C₂×Q₈	64		(C2xQ8).A4	192,1022
(C₂×Q₈).₂A₄ = Q₈×SL₂(𝔽₃)	φ: trivial image	64		(C2xQ8).2A4	192,1007
(C₂×Q₈).₃A₄ = C₂×Q₈.A₄	φ: trivial image	48		(C2xQ8).3A4	192,1502

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