Extensions 1→N→G→Q→1 with N=Dic₁₀ and Q=D₅

Direct product G=N×Q with N=Dic₁₀ and Q=D₅

		d	ρ	Label	ID
D₅×Dic₁₀		80	4-	D5xDic10	400,163

Semidirect products G=N:Q with N=Dic₁₀ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₀⋊₁D₅ = C₅²⋊₄SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out Dic₁₀	40	4+	Dic10:1D5	400,68
Dic₁₀⋊₂D₅ = D₂₀.D₅	φ: D₅/C₅ → C₂ ⊆ Out Dic₁₀	80	4	Dic10:2D5	400,66
Dic₁₀⋊₃D₅ = D₂₀⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out Dic₁₀	40	4	Dic10:3D5	400,165
Dic₁₀⋊₄D₅ = Dic₁₀⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out Dic₁₀	40	4	Dic10:4D5	400,166
Dic₁₀⋊₅D₅ = Dic₁₀⋊₅D₅	φ: trivial image	40	4+	Dic10:5D5	400,168

Non-split extensions G=N.Q with N=Dic₁₀ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₀.₁D₅ = C₅²⋊₃Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out Dic₁₀	80	4-	Dic10.1D5	400,70
Dic₁₀.₂D₅ = C₅²⋊₂Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out Dic₁₀	80	4	Dic10.2D5	400,69

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