Extensions 1→N→G→Q→1 with N=D₅ and Q=Q₈⋊C₄

Direct product G=N×Q with N=D₅ and Q=Q₈⋊C₄

		d	ρ	Label	ID
D₅×Q₈⋊C₄		160		D5xQ8:C4	320,428

Semidirect products G=N:Q with N=D₅ and Q=Q₈⋊C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊(Q₈⋊C₄) = C₂×Q₈⋊F₅	φ: Q₈⋊C₄/C₂×Q₈ → C₂ ⊆ Out D₅	80		D5:(Q8:C4)	320,1119

Non-split extensions G=N.Q with N=D₅ and Q=Q₈⋊C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.₁(Q₈⋊C₄) = D₁₀.₁₈D₈	φ: Q₈⋊C₄/C₄⋊C₄ → C₂ ⊆ Out D₅	80		D5.1(Q8:C4)	320,212
D₅.₂(Q₈⋊C₄) = D₁₀.₁₀D₈	φ: Q₈⋊C₄/C₂×C₈ → C₂ ⊆ Out D₅	80		D5.2(Q8:C4)	320,231

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Extensions 1→N→G→Q→1 with N=D5 and Q=Q8⋊C4