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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₅)⋊C₁₀ = C₅×D₅²	φ: C₁₀/C₅ → C₂ ⊆ Out C₅×D₅	20	4	(C5xD5):C10	500,50

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₅).₁C₁₀ = F₅×C₂₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅×D₅	100	4	(C5xD5).1C10	500,15
(C₅×D₅).₂C₁₀ = F₅×C₅²	φ: C₁₀/C₅ → C₂ ⊆ Out C₅×D₅	100		(C5xD5).2C10	500,41
(C₅×D₅).₃C₁₀ = C₅×D₅.D₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅×D₅	20	4	(C5xD5).3C10	500,42
(C₅×D₅).₄C₁₀ = D₅×C₅₀	φ: trivial image	100	2	(C5xD5).4C10	500,29

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