Extensions 1→N→G→Q→1 with N=C₃×SL₂(𝔽₃) and Q=C₄

Direct product G=N×Q with N=C₃×SL₂(𝔽₃) and Q=C₄

		d	ρ	Label	ID
C₁₂×SL₂(𝔽₃)		96		C12xSL(2,3)	288,633

Semidirect products G=N:Q with N=C₃×SL₂(𝔽₃) and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×SL₂(𝔽₃))⋊₁C₄ = C₆.GL₂(𝔽₃)	φ: C₄/C₂ → C₂ ⊆ Out C₃×SL₂(𝔽₃)	96		(C3xSL(2,3)):1C4	288,403
(C₃×SL₂(𝔽₃))⋊₂C₄ = C₃⋊U₂(𝔽₃)	φ: C₄/C₂ → C₂ ⊆ Out C₃×SL₂(𝔽₃)	72	4	(C3xSL(2,3)):2C4	288,404
(C₃×SL₂(𝔽₃))⋊₃C₄ = Dic₃×SL₂(𝔽₃)	φ: C₄/C₂ → C₂ ⊆ Out C₃×SL₂(𝔽₃)	96		(C3xSL(2,3)):3C4	288,409
(C₃×SL₂(𝔽₃))⋊₄C₄ = C₃×Q₈⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×SL₂(𝔽₃)	96		(C3xSL(2,3)):4C4	288,399
(C₃×SL₂(𝔽₃))⋊₅C₄ = C₃×U₂(𝔽₃)	φ: C₄/C₂ → C₂ ⊆ Out C₃×SL₂(𝔽₃)	72	2	(C3xSL(2,3)):5C4	288,400

Non-split extensions G=N.Q with N=C₃×SL₂(𝔽₃) and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×SL₂(𝔽₃)).C₄ = SL₂(𝔽₃).Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×SL₂(𝔽₃)	96	4	(C3xSL(2,3)).C4	288,410
(C₃×SL₂(𝔽₃)).₂C₄ = C₃×C₈.A₄	φ: trivial image	96	2	(C3xSL(2,3)).2C4	288,638

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