Extensions 1→N→G→Q→1 with N=S₃×SL₂(𝔽₃) and Q=C₂

Direct product G=N×Q with N=S₃×SL₂(𝔽₃) and Q=C₂

		d	ρ	Label	ID
C₂×S₃×SL₂(𝔽₃)		48		C2xS3xSL(2,3)	288,922

Semidirect products G=N:Q with N=S₃×SL₂(𝔽₃) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×SL₂(𝔽₃))⋊₁C₂ = D₆.S₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×SL₂(𝔽₃)	48	4-	(S3xSL(2,3)):1C2	288,849
(S₃×SL₂(𝔽₃))⋊₂C₂ = D₆.₂S₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×SL₂(𝔽₃)	48	4	(S3xSL(2,3)):2C2	288,850
(S₃×SL₂(𝔽₃))⋊₃C₂ = S₃×GL₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out S₃×SL₂(𝔽₃)	24	4	(S3xSL(2,3)):3C2	288,851
(S₃×SL₂(𝔽₃))⋊₄C₂ = SL₂(𝔽₃).₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×SL₂(𝔽₃)	48	4	(S3xSL(2,3)):4C2	288,923
(S₃×SL₂(𝔽₃))⋊₅C₂ = D₁₂.A₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×SL₂(𝔽₃)	48	4-	(S3xSL(2,3)):5C2	288,926
(S₃×SL₂(𝔽₃))⋊₆C₂ = S₃×C₄.A₄	φ: trivial image	48	4	(S3xSL(2,3)):6C2	288,925

Non-split extensions G=N.Q with N=S₃×SL₂(𝔽₃) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×SL₂(𝔽₃)).C₂ = S₃×CSU₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out S₃×SL₂(𝔽₃)	48	4-	(S3xSL(2,3)).C2	288,848

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