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

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

		d	ρ	Label	ID
D₅×C₅×C₁₀		100		D5xC5xC10	500,53

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₅×C₁₀) = C₅×D₅²	φ: D₅×C₁₀/C₅×D₅ → C₂ ⊆ Aut C₅	20	4	C5:1(D5xC10)	500,50
C₅⋊₂(D₅×C₁₀) = C₁₀×C₅⋊D₅	φ: D₅×C₁₀/C₅×C₁₀ → C₂ ⊆ Aut C₅	100		C5:2(D5xC10)	500,54

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.₁(D₅×C₁₀) = C₁₀×D₂₅	φ: D₅×C₁₀/C₅×C₁₀ → C₂ ⊆ Aut C₅	100	2	C5.1(D5xC10)	500,28
C₅.₂(D₅×C₁₀) = C₂×C₅²⋊C₁₀	φ: D₅×C₁₀/C₅×C₁₀ → C₂ ⊆ Aut C₅	50	10+	C5.2(D5xC10)	500,30
C₅.₃(D₅×C₁₀) = C₂×C₂₅⋊C₁₀	φ: D₅×C₁₀/C₅×C₁₀ → C₂ ⊆ Aut C₅	50	10+	C5.3(D5xC10)	500,31
C₅.₄(D₅×C₁₀) = D₅×C₅₀	central extension (φ=1)	100	2	C5.4(D5xC10)	500,29

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