Extensions 1→N→G→Q→1 with N=C₂².F₅ and Q=C₂

Direct product G=N×Q with N=C₂².F₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₂².F₅		80		C2xC2^2.F5	160,211

Semidirect products G=N:Q with N=C₂².F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂².F₅⋊₁C₂ = C₂³.F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂².F₅	40	4	C2^2.F5:1C2	160,88
C₂².F₅⋊₂C₂ = D₄.F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂².F₅	80	8-	C2^2.F5:2C2	160,206
C₂².F₅⋊₃C₂ = D₅⋊M₄(2)	φ: trivial image	40	4	C2^2.F5:3C2	160,202

Non-split extensions G=N.Q with N=C₂².F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂².F₅.C₂ = Dic₅.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂².F₅	80	4-	C2^2.F5.C2	160,80

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Extensions 1→N→G→Q→1 with N=C22.F5 and Q=C2