Extensions 1→N→G→Q→1 with N=C₂×SL₂(𝔽₃) and Q=C₆

Direct product G=N×Q with N=C₂×SL₂(𝔽₃) and Q=C₆

		d	ρ	Label	ID
C₂×C₆×SL₂(𝔽₃)		96		C2xC6xSL(2,3)	288,981

Semidirect products G=N:Q with N=C₂×SL₂(𝔽₃) and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×SL₂(𝔽₃))⋊₁C₆ = C₃×D₄.A₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	48	4	(C2xSL(2,3)):1C6	288,985
(C₂×SL₂(𝔽₃))⋊₂C₆ = C₆×GL₂(𝔽₃)	φ: C₆/C₃ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	48		(C2xSL(2,3)):2C6	288,900
(C₂×SL₂(𝔽₃))⋊₃C₆ = C₃×Q₈.D₆	φ: C₆/C₃ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	48	4	(C2xSL(2,3)):3C6	288,901
(C₂×SL₂(𝔽₃))⋊₄C₆ = C₆×C₄.A₄	φ: trivial image	96		(C2xSL(2,3)):4C6	288,983

Non-split extensions G=N.Q with N=C₂×SL₂(𝔽₃) and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×SL₂(𝔽₃)).₁C₆ = C₃×Q₈⋊Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	96		(C2xSL(2,3)).1C6	288,399
(C₂×SL₂(𝔽₃)).₂C₆ = C₆×CSU₂(𝔽₃)	φ: C₆/C₃ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	96		(C2xSL(2,3)).2C6	288,899
(C₂×SL₂(𝔽₃)).₃C₆ = C₁₂×SL₂(𝔽₃)	φ: trivial image	96		(C2xSL(2,3)).3C6	288,633

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