Extensions 1→N→G→Q→1 with N=C₈⋊C₂² and Q=D₅

Direct product G=N×Q with N=C₈⋊C₂² and Q=D₅

		d	ρ	Label	ID
D₅×C₈⋊C₂²		40	8+	D5xC8:C2^2	320,1444

Semidirect products G=N:Q with N=C₈⋊C₂² and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊C₂²⋊₁D₅ = D₂₀⋊₁₈D₄	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₂²	40	8+	C8:C2^2:1D5	320,825
C₈⋊C₂²⋊₂D₅ = M₄(2).D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₂²	80	8+	C8:C2^2:2D5	320,826
C₈⋊C₂²⋊₃D₅ = D₂₀.₃₈D₄	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₂²	80	8-	C8:C2^2:3D5	320,828
C₈⋊C₂²⋊₄D₅ = D₈⋊₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₂²	80	8+	C8:C2^2:4D5	320,1446
C₈⋊C₂²⋊₅D₅ = D₈⋊₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₂²	80	8-	C8:C2^2:5D5	320,1447
C₈⋊C₂²⋊₆D₅ = SD₁₆⋊D₁₀	φ: trivial image	80	8-	C8:C2^2:6D5	320,1445

Non-split extensions G=N.Q with N=C₈⋊C₂² and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊C₂².D₅ = M₄(2).₁₃D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊C₂²	80	8-	C8:C2^2.D5	320,827

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