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		80	8-	D5xC8.C2^2	320,1448

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₂²⋊₁D₅ = D₂₀.₃₉D₄	φ: D₅/C₅ → C₂ ⊆ Out C₈.C₂²	80	8+	C8.C2^2:1D5	320,829
C₈.C₂²⋊₂D₅ = M₄(2).₁₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈.C₂²	80	8+	C8.C2^2:2D5	320,830
C₈.C₂²⋊₃D₅ = D₂₀.₄₀D₄	φ: D₅/C₅ → C₂ ⊆ Out C₈.C₂²	80	8-	C8.C2^2:3D5	320,832
C₈.C₂²⋊₄D₅ = C₄₀.C₂³	φ: D₅/C₅ → C₂ ⊆ Out C₈.C₂²	80	8+	C8.C2^2:4D5	320,1450
C₈.C₂²⋊₅D₅ = D₂₀.₄₄D₄	φ: D₅/C₅ → C₂ ⊆ Out C₈.C₂²	160	8-	C8.C2^2:5D5	320,1451
C₈.C₂²⋊₆D₅ = D₄₀⋊C₂²	φ: trivial image	80	8+	C8.C2^2:6D5	320,1449

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).₁₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₈.C₂²	160	8-	C8.C2^2.D5	320,831

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