Extensions 1→N→G→Q→1 with N=C₄oD₄ and Q=D₅

Direct product G=NxQ with N=C₄oD₄ and Q=D₅

		d	ρ	Label	ID
D₅xC₄oD₄		40	4	D5xC4oD4	160,223

Semidirect products G=N:Q with N=C₄oD₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₄:₁D₅ = D₄:D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄oD₄	40	4+	C4oD4:1D5	160,170
C₄oD₄:₂D₅ = D₄.₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄oD₄	80	4	C4oD4:2D5	160,171
C₄oD₄:₃D₅ = D₄:₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄oD₄	40	4+	C4oD4:3D5	160,224
C₄oD₄:₄D₅ = D₄.₁₀D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄oD₄	80	4-	C4oD4:4D5	160,225

Non-split extensions G=N.Q with N=C₄oD₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₄.₁D₅ = D₄:₂Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₄oD₄	40	4	C4oD4.1D5	160,44
C₄oD₄.₂D₅ = D₄.₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄oD₄	80	4-	C4oD4.2D5	160,172
C₄oD₄.₃D₅ = D₄.Dic₅	φ: trivial image	80	4	C4oD4.3D5	160,169

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