Extensions 1→N→G→Q→1 with N=Q₈ and Q=D₅

Direct product G=N×Q with N=Q₈ and Q=D₅

		d	ρ	Label	ID
Q₈×D₅		40	4-	Q8xD5	80,41

Semidirect products G=N:Q with N=Q₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊D₅ = Q₈⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out Q₈	40	4+	Q8:D5	80,17
Q₈⋊₂D₅ = Q₈⋊₂D₅	φ: trivial image	40	4+	Q8:2D5	80,42

Non-split extensions G=N.Q with N=Q₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.D₅ = C₅⋊Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out Q₈	80	4-	Q8.D5	80,18

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Extensions 1→N→G→Q→1 with N=Q8 and Q=D5