Extensions 1→N→G→Q→1 with N=C₃×GL₂(𝔽₃) and Q=C₂

Direct product G=N×Q with N=C₃×GL₂(𝔽₃) and Q=C₂

		d	ρ	Label	ID
C₆×GL₂(𝔽₃)		48		C6xGL(2,3)	288,900

Semidirect products G=N:Q with N=C₃×GL₂(𝔽₃) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×GL₂(𝔽₃))⋊₁C₂ = GL₂(𝔽₃)⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×GL₂(𝔽₃)	48	4+	(C3xGL(2,3)):1C2	288,847
(C₃×GL₂(𝔽₃))⋊₂C₂ = D₆.S₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×GL₂(𝔽₃)	48	4-	(C3xGL(2,3)):2C2	288,849
(C₃×GL₂(𝔽₃))⋊₃C₂ = Dic₃.₄S₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×GL₂(𝔽₃)	48	4	(C3xGL(2,3)):3C2	288,845
(C₃×GL₂(𝔽₃))⋊₄C₂ = S₃×GL₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₃×GL₂(𝔽₃)	24	4	(C3xGL(2,3)):4C2	288,851
(C₃×GL₂(𝔽₃))⋊₅C₂ = C₃×Q₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×GL₂(𝔽₃)	48	4	(C3xGL(2,3)):5C2	288,901
(C₃×GL₂(𝔽₃))⋊₆C₂ = C₃×C₄.₃S₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×GL₂(𝔽₃)	48	4	(C3xGL(2,3)):6C2	288,904
(C₃×GL₂(𝔽₃))⋊₇C₂ = C₃×C₄.₆S₄	φ: trivial image	48	2	(C3xGL(2,3)):7C2	288,903

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