Extensions 1→N→G→Q→1 with N=SL₂(F₃) and Q=D₇

Direct product G=NxQ with N=SL₂(F₃) and Q=D₇

		d	ρ	Label	ID
D₇xSL₂(F₃)		56	4-	D7xSL(2,3)	336,132

Semidirect products G=N:Q with N=SL₂(F₃) and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(F₃):D₇ = Q₈:D₂₁	φ: D₇/C₇ → C₂ ⊆ Out SL₂(F₃)	56	4+	SL(2,3):D7	336,119
SL₂(F₃):₂D₇ = Dic₇.₂A₄	φ: trivial image	112	4+	SL(2,3):2D7	336,131

Non-split extensions G=N.Q with N=SL₂(F₃) and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(F₃).D₇ = Q₈.D₂₁	φ: D₇/C₇ → C₂ ⊆ Out SL₂(F₃)	112	4-	SL(2,3).D7	336,118

Extensions 1→N→G→Q→1 with N=SL2(F3) and Q=D7