Extensions 1→N→G→Q→1 with N=D₅×SL₂(𝔽₃) and Q=C₂

Direct product G=N×Q with N=D₅×SL₂(𝔽₃) and Q=C₂

		d	ρ	Label	ID
C₂×D₅×SL₂(𝔽₃)		80		C2xD5xSL(2,3)	480,1039

Semidirect products G=N:Q with N=D₅×SL₂(𝔽₃) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×SL₂(𝔽₃))⋊₁C₂ = D₁₀.₁S₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×SL₂(𝔽₃)	80	4-	(D5xSL(2,3)):1C2	480,972
(D₅×SL₂(𝔽₃))⋊₂C₂ = D₁₀.₂S₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×SL₂(𝔽₃)	80	4	(D5xSL(2,3)):2C2	480,973
(D₅×SL₂(𝔽₃))⋊₃C₂ = D₅×GL₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out D₅×SL₂(𝔽₃)	40	4	(D5xSL(2,3)):3C2	480,974
(D₅×SL₂(𝔽₃))⋊₄C₂ = SL₂(𝔽₃).₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×SL₂(𝔽₃)	80	4	(D5xSL(2,3)):4C2	480,1040
(D₅×SL₂(𝔽₃))⋊₅C₂ = D₂₀.A₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×SL₂(𝔽₃)	80	4-	(D5xSL(2,3)):5C2	480,1043
(D₅×SL₂(𝔽₃))⋊₆C₂ = D₅×C₄.A₄	φ: trivial image	80	4	(D5xSL(2,3)):6C2	480,1042

Non-split extensions G=N.Q with N=D₅×SL₂(𝔽₃) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×SL₂(𝔽₃)).₁C₂ = D₅×CSU₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out D₅×SL₂(𝔽₃)	80	4-	(D5xSL(2,3)).1C2	480,971
(D₅×SL₂(𝔽₃)).₂C₂ = D₁₀.S₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×SL₂(𝔽₃)	40	8-	(D5xSL(2,3)).2C2	480,962
(D₅×SL₂(𝔽₃)).₃C₂ = F₅×SL₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out D₅×SL₂(𝔽₃)	40	8-	(D5xSL(2,3)).3C2	480,965

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