Extensions 1→N→G→Q→1 with N=C₄○D₈ and Q=D₅

Direct product G=N×Q with N=C₄○D₈ and Q=D₅

		d	ρ	Label	ID
D₅×C₄○D₈		80	4	D5xC4oD8	320,1439

Semidirect products G=N:Q with N=C₄○D₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₈⋊₁D₅ = C₄₀.₃₀C₂³	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₈	160	4	C4oD8:1D5	320,821
C₄○D₈⋊₂D₅ = D₈⋊D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₈	80	4+	C4oD8:2D5	320,820
C₄○D₈⋊₃D₅ = Q₁₆⋊D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₈	80	4	C4oD8:3D5	320,1440
C₄○D₈⋊₄D₅ = D₈⋊₁₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₈	80	4+	C4oD8:4D5	320,1441
C₄○D₈⋊₅D₅ = D₈⋊₁₁D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₈	80	4	C4oD8:5D5	320,1442
C₄○D₈⋊₆D₅ = D₂₀.₄₇D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₈	160	4-	C4oD8:6D5	320,1443

Non-split extensions G=N.Q with N=C₄○D₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₈.₁D₅ = C₂₀.₅₈D₈	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₈	160	4	C4oD8.1D5	320,125
C₄○D₈.₂D₅ = D₈⋊₂Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₈	80	4	C4oD8.2D5	320,124
C₄○D₈.₃D₅ = C₄₀.₃₁C₂³	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₈	160	4-	C4oD8.3D5	320,822
C₄○D₈.₄D₅ = D₈⋊₄Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₈	80	4	C4oD8.4D5	320,824
C₄○D₈.₅D₅ = D₈⋊₅Dic₅	φ: trivial image	80	4	C4oD8.5D5	320,823

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