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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(F₃):₁(C₂xC₆) = C₆xGL₂(F₃)	φ: C₂xC₆/C₆ → C₂ ⊆ Out SL₂(F₃)	48		SL(2,3):1(C2xC6)	288,900
SL₂(F₃):₂(C₂xC₆) = C₃xC₄.₃S₄	φ: C₂xC₆/C₆ → C₂ ⊆ Out SL₂(F₃)	48	4	SL(2,3):2(C2xC6)	288,904
SL₂(F₃):₃(C₂xC₆) = C₆xC₄.A₄	φ: trivial image	96		SL(2,3):3(C2xC6)	288,983
SL₂(F₃):₄(C₂xC₆) = C₃xQ₈.A₄	φ: trivial image	72	4	SL(2,3):4(C2xC6)	288,984

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

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(F₃).₁(C₂xC₆) = C₆xCSU₂(F₃)	φ: C₂xC₆/C₆ → C₂ ⊆ Out SL₂(F₃)	96		SL(2,3).1(C2xC6)	288,899
SL₂(F₃).₂(C₂xC₆) = C₃xQ₈.D₆	φ: C₂xC₆/C₆ → C₂ ⊆ Out SL₂(F₃)	48	4	SL(2,3).2(C2xC6)	288,901
SL₂(F₃).₃(C₂xC₆) = C₃xC₄.S₄	φ: C₂xC₆/C₆ → C₂ ⊆ Out SL₂(F₃)	96	4	SL(2,3).3(C2xC6)	288,902
SL₂(F₃).₄(C₂xC₆) = C₃xC₄.₆S₄	φ: C₂xC₆/C₆ → C₂ ⊆ Out SL₂(F₃)	48	2	SL(2,3).4(C2xC6)	288,903
SL₂(F₃).₅(C₂xC₆) = C₃xD₄.A₄	φ: trivial image	48	4	SL(2,3).5(C2xC6)	288,985

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