Extensions 1→N→G→Q→1 with N=SL₂(𝔽₃) and Q=Dic₃

Direct product G=N×Q with N=SL₂(𝔽₃) and Q=Dic₃

		d	ρ	Label	ID
Dic₃×SL₂(𝔽₃)		96		Dic3xSL(2,3)	288,409

Semidirect products G=N:Q with N=SL₂(𝔽₃) and Q=Dic₃

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

Non-split extensions G=N.Q with N=SL₂(𝔽₃) and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃).Dic₃ = SL₂(𝔽₃).Dic₃	φ: trivial image	96	4	SL(2,3).Dic3	288,410

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Extensions 1→N→G→Q→1 with N=SL2(𝔽3) and Q=Dic3