Extensions 1→N→G→Q→1 with N=C₇×SL₂(𝔽₃) and Q=C₂

Direct product G=N×Q with N=C₇×SL₂(𝔽₃) and Q=C₂

		d	ρ	Label	ID
C₁₄×SL₂(𝔽₃)		112		C14xSL(2,3)	336,169

Semidirect products G=N:Q with N=C₇×SL₂(𝔽₃) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×SL₂(𝔽₃))⋊₁C₂ = Q₈⋊D₂₁	φ: C₂/C₁ → C₂ ⊆ Out C₇×SL₂(𝔽₃)	56	4+	(C7xSL(2,3)):1C2	336,119
(C₇×SL₂(𝔽₃))⋊₂C₂ = Dic₇.₂A₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×SL₂(𝔽₃)	112	4+	(C7xSL(2,3)):2C2	336,131
(C₇×SL₂(𝔽₃))⋊₃C₂ = D₇×SL₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₇×SL₂(𝔽₃)	56	4-	(C7xSL(2,3)):3C2	336,132
(C₇×SL₂(𝔽₃))⋊₄C₂ = C₇×GL₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₇×SL₂(𝔽₃)	56	2	(C7xSL(2,3)):4C2	336,116
(C₇×SL₂(𝔽₃))⋊₅C₂ = C₇×C₄.A₄	φ: trivial image	112	2	(C7xSL(2,3)):5C2	336,170

Non-split extensions G=N.Q with N=C₇×SL₂(𝔽₃) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×SL₂(𝔽₃)).₁C₂ = Q₈.D₂₁	φ: C₂/C₁ → C₂ ⊆ Out C₇×SL₂(𝔽₃)	112	4-	(C7xSL(2,3)).1C2	336,118
(C₇×SL₂(𝔽₃)).₂C₂ = C₇×CSU₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₇×SL₂(𝔽₃)	112	2	(C7xSL(2,3)).2C2	336,115

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