Extensions 1→N→G→Q→1 with N=D₁₀ and Q=D₅

Direct product G=N×Q with N=D₁₀ and Q=D₅

		d	ρ	Label	ID
C₂×D₅²		20	4+	C2xD5^2	200,49

Semidirect products G=N:Q with N=D₁₀ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁D₅ = C₅²⋊₂D₄	φ: D₅/C₅ → C₂ ⊆ Out D₁₀	40	4-	D10:1D5	200,24
D₁₀⋊₂D₅ = C₅⋊D₂₀	φ: D₅/C₅ → C₂ ⊆ Out D₁₀	20	4+	D10:2D5	200,25

Non-split extensions G=N.Q with N=D₁₀ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.D₅ = C₂×D₅.D₅	φ: D₅/C₅ → C₂ ⊆ Out D₁₀	40	4	D10.D5	200,46
D₁₀.₂D₅ = D₅×Dic₅	φ: trivial image	40	4-	D10.2D5	200,22

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Extensions 1→N→G→Q→1 with N=D10 and Q=D5