Extensions 1→N→G→Q→1 with N=C₅×GL₂(𝔽₃) and Q=C₂

Direct product G=N×Q with N=C₅×GL₂(𝔽₃) and Q=C₂

		d	ρ	Label	ID
C₁₀×GL₂(𝔽₃)		80		C10xGL(2,3)	480,1017

Semidirect products G=N:Q with N=C₅×GL₂(𝔽₃) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×GL₂(𝔽₃))⋊₁C₂ = GL₂(𝔽₃)⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×GL₂(𝔽₃)	80	4+	(C5xGL(2,3)):1C2	480,970
(C₅×GL₂(𝔽₃))⋊₂C₂ = D₁₀.₁S₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×GL₂(𝔽₃)	80	4-	(C5xGL(2,3)):2C2	480,972
(C₅×GL₂(𝔽₃))⋊₃C₂ = Dic₅.₆S₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×GL₂(𝔽₃)	80	4	(C5xGL(2,3)):3C2	480,968
(C₅×GL₂(𝔽₃))⋊₄C₂ = D₅×GL₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₅×GL₂(𝔽₃)	40	4	(C5xGL(2,3)):4C2	480,974
(C₅×GL₂(𝔽₃))⋊₅C₂ = C₅×Q₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×GL₂(𝔽₃)	80	4	(C5xGL(2,3)):5C2	480,1018
(C₅×GL₂(𝔽₃))⋊₆C₂ = C₅×C₄.₃S₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×GL₂(𝔽₃)	80	4	(C5xGL(2,3)):6C2	480,1021
(C₅×GL₂(𝔽₃))⋊₇C₂ = C₅×C₄.₆S₄	φ: trivial image	80	2	(C5xGL(2,3)):7C2	480,1020

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