Extensions 1→N→G→Q→1 with N=C₂² and Q=SL₂(𝔽₃)

Direct product G=N×Q with N=C₂² and Q=SL₂(𝔽₃)

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

Semidirect products G=N:Q with N=C₂² and Q=SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊SL₂(𝔽₃) = Q₈⋊A₄	φ: SL₂(𝔽₃)/Q₈ → C₃ ⊆ Aut C₂²	24	6-	C2^2:SL(2,3)	96,203

Non-split extensions G=N.Q with N=C₂² and Q=SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².SL₂(𝔽₃) = C₂³.₃A₄	φ: SL₂(𝔽₃)/Q₈ → C₃ ⊆ Aut C₂²	12	6+	C2^2.SL(2,3)	96,3

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Extensions 1→N→G→Q→1 with N=C22 and Q=SL2(𝔽3)