Extensions 1→N→G→Q→1 with N=C₂xQ₈ and Q=A₄

Direct product G=NxQ with N=C₂xQ₈ and Q=A₄

		d	ρ	Label	ID
C₂xQ₈xA₄		48		C2xQ8xA4	192,1499

Semidirect products G=N:Q with N=C₂xQ₈ and Q=A₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xQ₈):₁A₄ = C₂⁴.₇A₄	φ: A₄/C₁ → A₄ ⊆ Out C₂xQ₈	16		(C2xQ8):1A4	192,1021
(C₂xQ₈):₂A₄ = C₂⁴:₅A₄	φ: A₄/C₁ → A₄ ⊆ Out C₂xQ₈	16		(C2xQ8):2A4	192,1024
(C₂xQ₈):₃A₄ = C₂xQ₈:A₄	φ: A₄/C₂² → C₃ ⊆ Out C₂xQ₈	48		(C2xQ8):3A4	192,1506
(C₂xQ₈):₄A₄ = C₂xC₂³:A₄	φ: A₄/C₂² → C₃ ⊆ Out C₂xQ₈	16		(C2xQ8):4A4	192,1508

Non-split extensions G=N.Q with N=C₂xQ₈ and Q=A₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xQ₈).A₄ = Q₈:SL₂(F₃)	φ: A₄/C₂² → C₃ ⊆ Out C₂xQ₈	64		(C2xQ8).A4	192,1022
(C₂xQ₈).₂A₄ = Q₈xSL₂(F₃)	φ: trivial image	64		(C2xQ8).2A4	192,1007
(C₂xQ₈).₃A₄ = C₂xQ₈.A₄	φ: trivial image	48		(C2xQ8).3A4	192,1502

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