Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=SL₂(F₃)

Direct product G=NxQ with N=C₂xC₆ and Q=SL₂(F₃)

		d	ρ	Label	ID
C₂xC₆xSL₂(F₃)		96		C2xC6xSL(2,3)	288,981

Semidirect products G=N:Q with N=C₂xC₆ and Q=SL₂(F₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆):SL₂(F₃) = C₃xQ₈:A₄	φ: SL₂(F₃)/Q₈ → C₃ ⊆ Aut C₂xC₆	72	6	(C2xC6):SL(2,3)	288,986

Non-split extensions G=N.Q with N=C₂xC₆ and Q=SL₂(F₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆).₁SL₂(F₃) = C₂.(C₄²:C₉)	φ: SL₂(F₃)/Q₈ → C₃ ⊆ Aut C₂xC₆	36	6	(C2xC6).1SL(2,3)	288,3
(C₂xC₆).₂SL₂(F₃) = C₃xC₂³.₃A₄	φ: SL₂(F₃)/Q₈ → C₃ ⊆ Aut C₂xC₆	36	6	(C2xC6).2SL(2,3)	288,230
(C₂xC₆).₃SL₂(F₃) = C₂²:(Q₈:C₉)	φ: SL₂(F₃)/Q₈ → C₃ ⊆ Aut C₂xC₆	72	6	(C2xC6).3SL(2,3)	288,350
(C₂xC₆).₄SL₂(F₃) = C₂²xQ₈:C₉	central extension (φ=1)	288		(C2xC6).4SL(2,3)	288,345

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