Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=D₅

Direct product G=N×Q with N=C₄○D₄ and Q=D₅

		d	ρ	Label	ID
D₅×C₄○D₄		40	4	D5xC4oD4	160,223

Semidirect products G=N:Q with N=C₄○D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁D₅ = D₄⋊D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₄	40	4+	C4oD4:1D5	160,170
C₄○D₄⋊₂D₅ = D₄.₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₄	80	4	C4oD4:2D5	160,171
C₄○D₄⋊₃D₅ = D₄⋊₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₄	40	4+	C4oD4:3D5	160,224
C₄○D₄⋊₄D₅ = D₄.₁₀D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₄	80	4-	C4oD4:4D5	160,225

Non-split extensions G=N.Q with N=C₄○D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.₁D₅ = D₄⋊₂Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₄	40	4	C4oD4.1D5	160,44
C₄○D₄.₂D₅ = D₄.₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₄	80	4-	C4oD4.2D5	160,172
C₄○D₄.₃D₅ = D₄.Dic₅	φ: trivial image	80	4	C4oD4.3D5	160,169

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