Extensions 1→N→G→Q→1 with N=C₈○D₄ and Q=D₅

Direct product G=N×Q with N=C₈○D₄ and Q=D₅

		d	ρ	Label	ID
D₅×C₈○D₄		80	4	D5xC8oD4	320,1421

Semidirect products G=N:Q with N=C₈○D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○D₄⋊₁D₅ = D₄.₃D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₈○D₄	80	4	C8oD4:1D5	320,768
C₈○D₄⋊₂D₅ = D₄.₄D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₈○D₄	80	4+	C8oD4:2D5	320,769
C₈○D₄⋊₃D₅ = D₄.₁₁D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₈○D₄	80	4	C8oD4:3D5	320,1423
C₈○D₄⋊₄D₅ = D₄.₁₂D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₈○D₄	80	4+	C8oD4:4D5	320,1424
C₈○D₄⋊₅D₅ = D₄.₁₃D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₈○D₄	160	4-	C8oD4:5D5	320,1425
C₈○D₄⋊₆D₅ = C₄₀.₉₃D₄	φ: D₅/C₅ → C₂ ⊆ Out C₈○D₄	80	4	C8oD4:6D5	320,771
C₈○D₄⋊₇D₅ = C₄₀.₅₀D₄	φ: D₅/C₅ → C₂ ⊆ Out C₈○D₄	80	4	C8oD4:7D5	320,772
C₈○D₄⋊₈D₅ = C₂₀.₇₂C₂⁴	φ: D₅/C₅ → C₂ ⊆ Out C₈○D₄	80	4	C8oD4:8D5	320,1422

Non-split extensions G=N.Q with N=C₈○D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○D₄.₁D₅ = D₄.₅D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₈○D₄	160	4-	C8oD4.1D5	320,770
C₈○D₄.₂D₅ = C₄₀.₉₂D₄	φ: D₅/C₅ → C₂ ⊆ Out C₈○D₄	160	4	C8oD4.2D5	320,119
C₈○D₄.₃D₅ = C₄₀.₇₀C₂³	φ: trivial image	160	4	C8oD4.3D5	320,767

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