Extensions 1→N→G→Q→1 with N=D₅ and Q=C₄²⋊C₂

Direct product G=N×Q with N=D₅ and Q=C₄²⋊C₂

		d	ρ	Label	ID
D₅×C₄²⋊C₂		80		D5xC4^2:C2	320,1192

Semidirect products G=N:Q with N=D₅ and Q=C₄²⋊C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊(C₄²⋊C₂) = C₂×D₁₀.C₂³	φ: C₄²⋊C₂/C₂²×C₄ → C₂ ⊆ Out D₅	80		D5:(C4^2:C2)	320,1592

Non-split extensions G=N.Q with N=D₅ and Q=C₄²⋊C₂

extension	φ:Q→Out N	d	Label	ID
D₅.₁(C₄²⋊C₂) = C₄²⋊₄F₅	φ: C₄²⋊C₂/C₄² → C₂ ⊆ Out D₅	80	D5.1(C4^2:C2)	320,1024
D₅.₂(C₄²⋊C₂) = C₂²⋊C₄×F₅	φ: C₄²⋊C₂/C₂²⋊C₄ → C₂ ⊆ Out D₅	40	D5.2(C4^2:C2)	320,1036
D₅.₃(C₄²⋊C₂) = C₄⋊C₄×F₅	φ: C₄²⋊C₂/C₄⋊C₄ → C₂ ⊆ Out D₅	80	D5.3(C4^2:C2)	320,1048

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Extensions 1→N→G→Q→1 with N=D5 and Q=C42⋊C2