Extensions 1→N→G→Q→1 with N=Q₈ and Q=Dic₁₀

Direct product G=N×Q with N=Q₈ and Q=Dic₁₀

		d	ρ	Label	ID
Q₈×Dic₁₀		320		Q8xDic10	320,1238

Semidirect products G=N:Q with N=Q₈ and Q=Dic₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁Dic₁₀ = Q₈⋊Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Out Q₈	320		Q8:1Dic10	320,418
Q₈⋊₂Dic₁₀ = Dic₅.₉Q₁₆	φ: Dic₁₀/Dic₅ → C₂ ⊆ Out Q₈	320		Q8:2Dic10	320,421
Q₈⋊₃Dic₁₀ = C₂₀.₄₈SD₁₆	φ: Dic₁₀/C₂₀ → C₂ ⊆ Out Q₈	320		Q8:3Dic10	320,647
Q₈⋊₄Dic₁₀ = C₂₀.₂₃Q₁₆	φ: Dic₁₀/C₂₀ → C₂ ⊆ Out Q₈	320		Q8:4Dic10	320,648
Q₈⋊₅Dic₁₀ = Q₈⋊₅Dic₁₀	φ: trivial image	320		Q8:5Dic10	320,1241
Q₈⋊₆Dic₁₀ = Q₈⋊₆Dic₁₀	φ: trivial image	320		Q8:6Dic10	320,1242

Non-split extensions G=N.Q with N=Q₈ and Q=Dic₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁Dic₁₀ = Q₈.Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Out Q₈	320		Q8.1Dic10	320,423
Q₈.₂Dic₁₀ = Q₈.₂Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Out Q₈	320		Q8.2Dic10	320,426
Q₈.₃Dic₁₀ = Q₈.₃Dic₁₀	φ: Dic₁₀/C₂₀ → C₂ ⊆ Out Q₈	320		Q8.3Dic10	320,649

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