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

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

		d	ρ	Label	ID
C₂×SL₂(𝔽₃)		16		C2xSL(2,3)	48,32

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

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃)⋊C₂ = GL₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out SL₂(𝔽₃)	8	2	SL(2,3):C2	48,29
SL₂(𝔽₃)⋊₂C₂ = C₄.A₄	φ: trivial image	16	2	SL(2,3):2C2	48,33

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

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃).C₂ = CSU₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out SL₂(𝔽₃)	16	2-	SL(2,3).C2	48,28

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