Extensions 1→N→G→Q→1 with N=SL₂(𝔽₃) and Q=C₁₂

Direct product G=N×Q with N=SL₂(𝔽₃) and Q=C₁₂

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

Semidirect products G=N:Q with N=SL₂(𝔽₃) and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃)⋊₁C₁₂ = C₃×Q₈⋊Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Out SL₂(𝔽₃)	96		SL(2,3):1C12	288,399
SL₂(𝔽₃)⋊₂C₁₂ = C₃×U₂(𝔽₃)	φ: C₁₂/C₆ → C₂ ⊆ Out SL₂(𝔽₃)	72	2	SL(2,3):2C12	288,400

Non-split extensions G=N.Q with N=SL₂(𝔽₃) and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃).C₁₂ = C₃×C₈.A₄	φ: trivial image	96	2	SL(2,3).C12	288,638

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Extensions 1→N→G→Q→1 with N=SL2(𝔽3) and Q=C12