Extensions 1→N→G→Q→1 with N=SL₂(F₃) and Q=S₃

Direct product G=NxQ with N=SL₂(F₃) and Q=S₃

		d	ρ	Label	ID
S₃xSL₂(F₃)		24	4-	S3xSL(2,3)	144,128

Semidirect products G=N:Q with N=SL₂(F₃) and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(F₃):S₃ = C₆.₆S₄	φ: S₃/C₃ → C₂ ⊆ Out SL₂(F₃)	24	4+	SL(2,3):S3	144,125
SL₂(F₃):₂S₃ = Dic₃.A₄	φ: trivial image	48	4+	SL(2,3):2S3	144,127

Non-split extensions G=N.Q with N=SL₂(F₃) and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(F₃).S₃ = C₆.₅S₄	φ: S₃/C₃ → C₂ ⊆ Out SL₂(F₃)	48	4-	SL(2,3).S3	144,124

Extensions 1→N→G→Q→1 with N=SL2(F3) and Q=S3