Extensions 1→N→G→Q→1 with N=D₁₀ and Q=Q₈

Direct product G=N×Q with N=D₁₀ and Q=Q₈

		d	ρ	Label	ID
C₂×Q₈×D₅		80		C2xQ8xD5	160,220

Semidirect products G=N:Q with N=D₁₀ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁Q₈ = D₁₀⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₁₀	80		D10:1Q8	160,117
D₁₀⋊₂Q₈ = D₁₀⋊₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₁₀	80		D10:2Q8	160,118
D₁₀⋊₃Q₈ = D₁₀⋊₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₁₀	80		D10:3Q8	160,167

Non-split extensions G=N.Q with N=D₁₀ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₁Q₈ = C₄₀.C₄	φ: Q₈/C₄ → C₂ ⊆ Out D₁₀	80	4	D10.1Q8	160,70
D₁₀.₂Q₈ = D₁₀.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₁₀	80	4	D10.2Q8	160,71
D₁₀.₃Q₈ = D₁₀.₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₁₀	40		D10.3Q8	160,81
D₁₀.₄Q₈ = C₂×C₄⋊F₅	φ: Q₈/C₄ → C₂ ⊆ Out D₁₀	40		D10.4Q8	160,204
D₁₀.₅Q₈ = D₅×C₄⋊C₄	φ: trivial image	80		D10.5Q8	160,112

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