Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂×C₁₀

Direct product G=N×Q with N=Q₈ and Q=C₂×C₁₀

		d	ρ	Label	ID
Q₈×C₂×C₁₀		160		Q8xC2xC10	160,230

Semidirect products G=N:Q with N=Q₈ and Q=C₂×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁(C₂×C₁₀) = C₁₀×SD₁₆	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Q₈	80		Q8:1(C2xC10)	160,194
Q₈⋊₂(C₂×C₁₀) = C₅×C₈⋊C₂²	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Q₈	40	4	Q8:2(C2xC10)	160,197
Q₈⋊₃(C₂×C₁₀) = C₁₀×C₄○D₄	φ: trivial image	80		Q8:3(C2xC10)	160,231
Q₈⋊₄(C₂×C₁₀) = C₅×2₊¹⁺⁴	φ: trivial image	40	4	Q8:4(C2xC10)	160,232

Non-split extensions G=N.Q with N=Q₈ and Q=C₂×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₂×C₁₀) = C₁₀×Q₁₆	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Q₈	160		Q8.1(C2xC10)	160,195
Q₈.₂(C₂×C₁₀) = C₅×C₄○D₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Q₈	80	2	Q8.2(C2xC10)	160,196
Q₈.₃(C₂×C₁₀) = C₅×C₈.C₂²	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Q₈	80	4	Q8.3(C2xC10)	160,198
Q₈.₄(C₂×C₁₀) = C₅×2_-¹⁺⁴	φ: trivial image	80	4	Q8.4(C2xC10)	160,233

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