Extensions 1→N→G→Q→1 with N=C₅×SL₂(𝔽₃) and Q=C₂

Direct product G=N×Q with N=C₅×SL₂(𝔽₃) and Q=C₂

		d	ρ	Label	ID
C₁₀×SL₂(𝔽₃)		80		C10xSL(2,3)	240,153

Semidirect products G=N:Q with N=C₅×SL₂(𝔽₃) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×SL₂(𝔽₃))⋊₁C₂ = Q₈⋊D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×SL₂(𝔽₃)	40	4+	(C5xSL(2,3)):1C2	240,106
(C₅×SL₂(𝔽₃))⋊₂C₂ = Dic₅.A₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×SL₂(𝔽₃)	80	4+	(C5xSL(2,3)):2C2	240,108
(C₅×SL₂(𝔽₃))⋊₃C₂ = D₅×SL₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₅×SL₂(𝔽₃)	40	4-	(C5xSL(2,3)):3C2	240,109
(C₅×SL₂(𝔽₃))⋊₄C₂ = C₅×GL₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₅×SL₂(𝔽₃)	40	2	(C5xSL(2,3)):4C2	240,103
(C₅×SL₂(𝔽₃))⋊₅C₂ = C₅×C₄.A₄	φ: trivial image	80	2	(C5xSL(2,3)):5C2	240,154

Non-split extensions G=N.Q with N=C₅×SL₂(𝔽₃) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×SL₂(𝔽₃)).₁C₂ = Q₈.D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×SL₂(𝔽₃)	80	4-	(C5xSL(2,3)).1C2	240,105
(C₅×SL₂(𝔽₃)).₂C₂ = C₅×CSU₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₅×SL₂(𝔽₃)	80	2	(C5xSL(2,3)).2C2	240,102

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