Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₅×C₁₀

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

		d	ρ	Label	ID
C₅×C₁₀²		500		C5xC10^2	500,56

Semidirect products G=N:Q with N=C₁₀ and Q=C₅×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(C₅×C₁₀) = D₅×C₅×C₁₀	φ: C₅×C₁₀/C₅² → C₂ ⊆ Aut C₁₀	100		C10:(C5xC10)	500,53

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.(C₅×C₁₀) = Dic₅×C₅²	φ: C₅×C₁₀/C₅² → C₂ ⊆ Aut C₁₀	100		C10.(C5xC10)	500,37
C₁₀.₂(C₅×C₁₀) = C₄×He₅	central extension (φ=1)	100	5	C10.2(C5xC10)	500,13
C₁₀.₃(C₅×C₁₀) = C₄×5_-¹⁺²	central extension (φ=1)	100	5	C10.3(C5xC10)	500,14
C₁₀.₄(C₅×C₁₀) = C₂²×He₅	central extension (φ=1)	100		C10.4(C5xC10)	500,35
C₁₀.₅(C₅×C₁₀) = C₂²×5_-¹⁺²	central extension (φ=1)	100		C10.5(C5xC10)	500,36

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