Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂×C₂₀

Direct product G=N×Q with N=Q₈ and Q=C₂×C₂₀

		d	ρ	Label	ID
Q₈×C₂×C₂₀		320		Q8xC2xC20	320,1518

Semidirect products G=N:Q with N=Q₈ and Q=C₂×C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁(C₂×C₂₀) = SD₁₆×C₂₀	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Out Q₈	160		Q8:1(C2xC20)	320,939
Q₈⋊₂(C₂×C₂₀) = C₅×SD₁₆⋊C₄	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Out Q₈	160		Q8:2(C2xC20)	320,941
Q₈⋊₃(C₂×C₂₀) = C₁₀×Q₈⋊C₄	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Out Q₈	320		Q8:3(C2xC20)	320,916
Q₈⋊₄(C₂×C₂₀) = C₅×C₂³.₃₆D₄	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Out Q₈	160		Q8:4(C2xC20)	320,918
Q₈⋊₅(C₂×C₂₀) = C₁₀×C₄≀C₂	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Out Q₈	80		Q8:5(C2xC20)	320,921
Q₈⋊₆(C₂×C₂₀) = C₄○D₄×C₂₀	φ: trivial image	160		Q8:6(C2xC20)	320,1519
Q₈⋊₇(C₂×C₂₀) = C₅×C₂³.₃₃C₂³	φ: trivial image	160		Q8:7(C2xC20)	320,1522

Non-split extensions G=N.Q with N=Q₈ and Q=C₂×C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₂×C₂₀) = Q₁₆×C₂₀	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Out Q₈	320		Q8.1(C2xC20)	320,940
Q₈.₂(C₂×C₂₀) = C₅×Q₁₆⋊C₄	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Out Q₈	320		Q8.2(C2xC20)	320,942
Q₈.₃(C₂×C₂₀) = C₅×C₈○D₈	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Out Q₈	80	2	Q8.3(C2xC20)	320,944
Q₈.₄(C₂×C₂₀) = C₅×C₈.₂₆D₄	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Out Q₈	80	4	Q8.4(C2xC20)	320,945
Q₈.₅(C₂×C₂₀) = C₅×C₂³.₂₄D₄	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Out Q₈	160		Q8.5(C2xC20)	320,917
Q₈.₆(C₂×C₂₀) = C₅×C₂³.₃₈D₄	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Out Q₈	160		Q8.6(C2xC20)	320,920
Q₈.₇(C₂×C₂₀) = C₅×C₄²⋊C₂²	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Out Q₈	80	4	Q8.7(C2xC20)	320,922
Q₈.₈(C₂×C₂₀) = C₅×C₂³.₃₂C₂³	φ: trivial image	160		Q8.8(C2xC20)	320,1521
Q₈.₉(C₂×C₂₀) = C₁₀×C₈○D₄	φ: trivial image	160		Q8.9(C2xC20)	320,1569
Q₈.₁₀(C₂×C₂₀) = C₅×Q₈○M₄(2)	φ: trivial image	80	4	Q8.10(C2xC20)	320,1570

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