Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂×A₄

Direct product G=N×Q with N=D₆ and Q=C₂×A₄

		d	ρ	Label	ID
C₂²×S₃×A₄		36		C2^2xS3xA4	288,1037

Semidirect products G=N:Q with N=D₆ and Q=C₂×A₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁(C₂×A₄) = A₄×D₁₂	φ: C₂×A₄/A₄ → C₂ ⊆ Out D₆	36	6+	D6:1(C2xA4)	288,920
D₆⋊₂(C₂×A₄) = A₄×C₃⋊D₄	φ: C₂×A₄/A₄ → C₂ ⊆ Out D₆	36	6	D6:2(C2xA4)	288,928

Non-split extensions G=N.Q with N=D₆ and Q=C₂×A₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₂×A₄) = SL₂(𝔽₃).₁₁D₆	φ: C₂×A₄/A₄ → C₂ ⊆ Out D₆	48	4	D6.1(C2xA4)	288,923
D₆.₂(C₂×A₄) = D₁₂.A₄	φ: C₂×A₄/A₄ → C₂ ⊆ Out D₆	48	4-	D6.2(C2xA4)	288,926
D₆.₃(C₂×A₄) = C₄×S₃×A₄	φ: trivial image	36	6	D6.3(C2xA4)	288,919
D₆.₄(C₂×A₄) = C₂×S₃×SL₂(𝔽₃)	φ: trivial image	48		D6.4(C2xA4)	288,922
D₆.₅(C₂×A₄) = S₃×C₄.A₄	φ: trivial image	48	4	D6.5(C2xA4)	288,925

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