Extensions 1→N→G→Q→1 with N=C₅² and Q=C₂×C₁₀

Direct product G=N×Q with N=C₅² and Q=C₂×C₁₀

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

Semidirect products G=N:Q with N=C₅² and Q=C₂×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅²⋊(C₂×C₁₀) = C₂×C₅²⋊C₁₀	φ: C₂×C₁₀/C₂ → C₁₀ ⊆ Aut C₅²	50	10+	C5^2:(C2xC10)	500,30
C₅²⋊₂(C₂×C₁₀) = C₂²×He₅	φ: C₂×C₁₀/C₂² → C₅ ⊆ Aut C₅²	100		C5^2:2(C2xC10)	500,35
C₅²⋊₃(C₂×C₁₀) = C₅×D₅²	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₅²	20	4	C5^2:3(C2xC10)	500,50
C₅²⋊₄(C₂×C₁₀) = D₅×C₅×C₁₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₅²	100		C5^2:4(C2xC10)	500,53
C₅²⋊₅(C₂×C₁₀) = C₁₀×C₅⋊D₅	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₅²	100		C5^2:5(C2xC10)	500,54

Non-split extensions G=N.Q with N=C₅² and Q=C₂×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅².(C₂×C₁₀) = C₂²×5_-¹⁺²	φ: C₂×C₁₀/C₂² → C₅ ⊆ Aut C₅²	100		C5^2.(C2xC10)	500,36
C₅².₂(C₂×C₁₀) = D₅×C₅₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₅²	100	2	C5^2.2(C2xC10)	500,29

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