Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=SL₂(𝔽₃)

Direct product G=N×Q with N=C₂×C₆ and Q=SL₂(𝔽₃)

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

Semidirect products G=N:Q with N=C₂×C₆ and Q=SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊SL₂(𝔽₃) = C₃×Q₈⋊A₄	φ: SL₂(𝔽₃)/Q₈ → C₃ ⊆ Aut C₂×C₆	72	6	(C2xC6):SL(2,3)	288,986

Non-split extensions G=N.Q with N=C₂×C₆ and Q=SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).₁SL₂(𝔽₃) = C₂.(C₄²⋊C₉)	φ: SL₂(𝔽₃)/Q₈ → C₃ ⊆ Aut C₂×C₆	36	6	(C2xC6).1SL(2,3)	288,3
(C₂×C₆).₂SL₂(𝔽₃) = C₃×C₂³.₃A₄	φ: SL₂(𝔽₃)/Q₈ → C₃ ⊆ Aut C₂×C₆	36	6	(C2xC6).2SL(2,3)	288,230
(C₂×C₆).₃SL₂(𝔽₃) = C₂²⋊(Q₈⋊C₉)	φ: SL₂(𝔽₃)/Q₈ → C₃ ⊆ Aut C₂×C₆	72	6	(C2xC6).3SL(2,3)	288,350
(C₂×C₆).₄SL₂(𝔽₃) = C₂²×Q₈⋊C₉	central extension (φ=1)	288		(C2xC6).4SL(2,3)	288,345

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