Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃×SL₂(𝔽₃)

Direct product G=N×Q with N=C₂² and Q=C₃×SL₂(𝔽₃)

		d	ρ	Label	ID
C₂×C₆×SL₂(𝔽₃)		96		C2xC6xSL(2,3)	288,981

Semidirect products G=N:Q with N=C₂² and Q=C₃×SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₃×SL₂(𝔽₃)) = A₄×SL₂(𝔽₃)	φ: C₃×SL₂(𝔽₃)/SL₂(𝔽₃) → C₃ ⊆ Aut C₂²	24	6-	C2^2:1(C3xSL(2,3))	288,859
C₂²⋊₂(C₃×SL₂(𝔽₃)) = C₃×Q₈⋊A₄	φ: C₃×SL₂(𝔽₃)/C₃×Q₈ → C₃ ⊆ Aut C₂²	72	6	C2^2:2(C3xSL(2,3))	288,986

Non-split extensions G=N.Q with N=C₂² and Q=C₃×SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃×SL₂(𝔽₃)) = C₃×C₂³.₃A₄	φ: C₃×SL₂(𝔽₃)/C₃×Q₈ → C₃ ⊆ Aut C₂²	36	6	C2^2.(C3xSL(2,3))	288,230

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Extensions 1→N→G→Q→1 with N=C22 and Q=C3×SL2(𝔽3)