Extensions 1→N→G→Q→1 with N=SL₂(F₃) and Q=Q₈

Direct product G=NxQ with N=SL₂(F₃) and Q=Q₈

		d	ρ	Label	ID
Q₈xSL₂(F₃)		64		Q8xSL(2,3)	192,1007

Semidirect products G=N:Q with N=SL₂(F₃) and Q=Q₈

extension	φ:Q→Out N	d	Label	ID
SL₂(F₃):₁Q₈ = Q₈:Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out SL₂(F₃)	64	SL(2,3):1Q8	192,945
SL₂(F₃):₂Q₈ = SL₂(F₃):Q₈	φ: Q₈/C₄ → C₂ ⊆ Out SL₂(F₃)	64	SL(2,3):2Q8	192,950
SL₂(F₃):₃Q₈ = SL₂(F₃):₃Q₈	φ: trivial image	64	SL(2,3):3Q8	192,1006

Non-split extensions G=N.Q with N=SL₂(F₃) and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(F₃).Q₈ = Q₈.Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out SL₂(F₃)	64		SL(2,3).Q8	192,948

Extensions 1→N→G→Q→1 with N=SL2(F3) and Q=Q8