Extensions 1→N→G→Q→1 with N=Q₁₆ and Q=Dic₅

Direct product G=N×Q with N=Q₁₆ and Q=Dic₅

		d	ρ	Label	ID
Q₁₆×Dic₅		320		Q16xDic5	320,810

Semidirect products G=N:Q with N=Q₁₆ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆⋊₁Dic₅ = C₄₀.₁₅D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out Q₁₆	320		Q16:1Dic5	320,122
Q₁₆⋊₂Dic₅ = D₈⋊₂Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out Q₁₆	80	4	Q16:2Dic5	320,124
Q₁₆⋊₃Dic₅ = Q₁₆⋊Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out Q₁₆	320		Q16:3Dic5	320,811
Q₁₆⋊₄Dic₅ = D₈⋊₄Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out Q₁₆	80	4	Q16:4Dic5	320,824
Q₁₆⋊₅Dic₅ = D₈⋊₅Dic₅	φ: trivial image	80	4	Q16:5Dic5	320,823

Non-split extensions G=N.Q with N=Q₁₆ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆.₁Dic₅ = C₂₀.₅₈D₈	φ: Dic₅/C₁₀ → C₂ ⊆ Out Q₁₆	160	4	Q16.1Dic5	320,125
Q₁₆.₂Dic₅ = Q₁₆.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out Q₁₆	160	4	Q16.2Dic5	320,123

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