Extensions 1→N→G→Q→1 with N=D₅ and Q=C₄≀C₂

Direct product G=N×Q with N=D₅ and Q=C₄≀C₂

		d	ρ	Label	ID
D₅×C₄≀C₂		40	4	D5xC4wrC2	320,447

Semidirect products G=N:Q with N=D₅ and Q=C₄≀C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊C₄≀C₂ = D₅⋊C₄≀C₂	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Out D₅	40	8	D5:C4wrC2	320,1130

Non-split extensions G=N.Q with N=D₅ and Q=C₄≀C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.₁C₄≀C₂ = C₄²⋊₆F₅	φ: C₄≀C₂/C₄² → C₂ ⊆ Out D₅	40	4	D5.1C4wrC2	320,200
D₅.₂C₄≀C₂ = M₄(2)⋊₃F₅	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Out D₅	40	8	D5.2C4wrC2	320,238

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Extensions 1→N→G→Q→1 with N=D5 and Q=C4≀C2