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

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

		d	ρ	Label	ID
C₂²×SL₂(𝔽₃)		32		C2^2xSL(2,3)	96,198

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×SL₂(𝔽₃))⋊₁C₂ = D₄.A₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	16	4-	(C2xSL(2,3)):1C2	96,202
(C₂×SL₂(𝔽₃))⋊₂C₂ = C₂×GL₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	16		(C2xSL(2,3)):2C2	96,189
(C₂×SL₂(𝔽₃))⋊₃C₂ = Q₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	16	4-	(C2xSL(2,3)):3C2	96,190
(C₂×SL₂(𝔽₃))⋊₄C₂ = C₂×C₄.A₄	φ: trivial image	32		(C2xSL(2,3)):4C2	96,200

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×SL₂(𝔽₃)).₁C₂ = Q₈⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	32		(C2xSL(2,3)).1C2	96,66
(C₂×SL₂(𝔽₃)).₂C₂ = C₂×CSU₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	32		(C2xSL(2,3)).2C2	96,188
(C₂×SL₂(𝔽₃)).₃C₂ = C₄×SL₂(𝔽₃)	φ: trivial image	32		(C2xSL(2,3)).3C2	96,69

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