Extensions 1→N→G→Q→1 with N=C₅⋊D₅ and Q=C₁₀

Direct product G=N×Q with N=C₅⋊D₅ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₅⋊D₅		100		C10xC5:D5	500,54

Semidirect products G=N:Q with N=C₅⋊D₅ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₅⋊C₁₀ = C₂×C₅²⋊C₁₀	φ: C₁₀/C₂ → C₅ ⊆ Out C₅⋊D₅	50	10+	C5:D5:C10	500,30
C₅⋊D₅⋊₂C₁₀ = C₅×D₅²	φ: C₁₀/C₅ → C₂ ⊆ Out C₅⋊D₅	20	4	C5:D5:2C10	500,50

Non-split extensions G=N.Q with N=C₅⋊D₅ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₅.C₁₀ = C₅²⋊C₂₀	φ: C₁₀/C₁ → C₁₀ ⊆ Out C₅⋊D₅	25	20+	C5:D5.C10	500,17
C₅⋊D₅.₂C₁₀ = C₅×C₅⋊F₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅⋊D₅	100		C5:D5.2C10	500,43
C₅⋊D₅.₃C₁₀ = C₅×C₅²⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₅⋊D₅	20	4	C5:D5.3C10	500,44

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Extensions 1→N→G→Q→1 with N=C5⋊D5 and Q=C10