Extensions 1→N→G→Q→1 with N=D₄ and Q=Dic₁₀

Direct product G=N×Q with N=D₄ and Q=Dic₁₀

		d	ρ	Label	ID
D₄×Dic₁₀		160		D4xDic10	320,1209

Semidirect products G=N:Q with N=D₄ and Q=Dic₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁Dic₁₀ = Dic₅.₁₄D₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Out D₄	160		D4:1Dic10	320,386
D₄⋊₂Dic₁₀ = D₄⋊Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Out D₄	160		D4:2Dic10	320,388
D₄⋊₃Dic₁₀ = C₂₀.₅₀D₈	φ: Dic₁₀/C₂₀ → C₂ ⊆ Out D₄	160		D4:3Dic10	320,634
D₄⋊₄Dic₁₀ = C₂₀.₃₈SD₁₆	φ: Dic₁₀/C₂₀ → C₂ ⊆ Out D₄	160		D4:4Dic10	320,635
D₄⋊₅Dic₁₀ = D₄⋊₅Dic₁₀	φ: trivial image	160		D4:5Dic10	320,1211
D₄⋊₆Dic₁₀ = D₄⋊₆Dic₁₀	φ: trivial image	160		D4:6Dic10	320,1215

Non-split extensions G=N.Q with N=D₄ and Q=Dic₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁Dic₁₀ = D₄.Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Out D₄	160		D4.1Dic10	320,390
D₄.₂Dic₁₀ = D₄.₂Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Out D₄	160		D4.2Dic10	320,393
D₄.₃Dic₁₀ = D₄.₃Dic₁₀	φ: Dic₁₀/C₂₀ → C₂ ⊆ Out D₄	160		D4.3Dic10	320,636

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