Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₅xC₁₀

Direct product G=NxQ with N=C₁₀ and Q=C₅xC₁₀

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

Semidirect products G=N:Q with N=C₁₀ and Q=C₅xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀:(C₅xC₁₀) = D₅xC₅xC₁₀	φ: C₅xC₁₀/C₅² → C₂ ⊆ Aut C₁₀	100		C10:(C5xC10)	500,53

Non-split extensions G=N.Q with N=C₁₀ and Q=C₅xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.(C₅xC₁₀) = Dic₅xC₅²	φ: C₅xC₁₀/C₅² → C₂ ⊆ Aut C₁₀	100		C10.(C5xC10)	500,37
C₁₀.₂(C₅xC₁₀) = C₄xHe₅	central extension (φ=1)	100	5	C10.2(C5xC10)	500,13
C₁₀.₃(C₅xC₁₀) = C₄x5_-¹⁺²	central extension (φ=1)	100	5	C10.3(C5xC10)	500,14
C₁₀.₄(C₅xC₁₀) = C₂²xHe₅	central extension (φ=1)	100		C10.4(C5xC10)	500,35
C₁₀.₅(C₅xC₁₀) = C₂²x5_-¹⁺²	central extension (φ=1)	100		C10.5(C5xC10)	500,36

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