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

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

		d	ρ	Label	ID
D₅×D₈		40	4+	D5xD8	160,131

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₈⋊₁D₅ = C₅⋊D₁₆	φ: D₅/C₅ → C₂ ⊆ Out D₈	80	4+	D8:1D5	160,33
D₈⋊₂D₅ = D₈⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out D₈	40	4	D8:2D5	160,132
D₈⋊₃D₅ = D₈⋊₃D₅	φ: trivial image	80	4-	D8:3D5	160,133

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.D₅ = D₈.D₅	φ: D₅/C₅ → C₂ ⊆ Out D₈	80	4-	D8.D5	160,34

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