Extensions 1→N→G→Q→1 with N=C₅² and Q=C₂xC₁₀

Direct product G=NxQ with N=C₅² and Q=C₂xC₁₀

		d	ρ	Label	ID
C₅xC₁₀²		500		C5xC10^2	500,56

Semidirect products G=N:Q with N=C₅² and Q=C₂xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅²:(C₂xC₁₀) = C₂xC₅²:C₁₀	φ: C₂xC₁₀/C₂ → C₁₀ ⊆ Aut C₅²	50	10+	C5^2:(C2xC10)	500,30
C₅²:₂(C₂xC₁₀) = C₂²xHe₅	φ: C₂xC₁₀/C₂² → C₅ ⊆ Aut C₅²	100		C5^2:2(C2xC10)	500,35
C₅²:₃(C₂xC₁₀) = C₅xD₅²	φ: C₂xC₁₀/C₅ → C₂² ⊆ Aut C₅²	20	4	C5^2:3(C2xC10)	500,50
C₅²:₄(C₂xC₁₀) = D₅xC₅xC₁₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₅²	100		C5^2:4(C2xC10)	500,53
C₅²:₅(C₂xC₁₀) = C₁₀xC₅:D₅	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₅²	100		C5^2:5(C2xC10)	500,54

Non-split extensions G=N.Q with N=C₅² and Q=C₂xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅².(C₂xC₁₀) = C₂²x5_-¹⁺²	φ: C₂xC₁₀/C₂² → C₅ ⊆ Aut C₅²	100		C5^2.(C2xC10)	500,36
C₅².₂(C₂xC₁₀) = D₅xC₅₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₅²	100	2	C5^2.2(C2xC10)	500,29

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