Extensions 1→N→G→Q→1 with N=C₅xD₄ and Q=C₁₀

Direct product G=NxQ with N=C₅xD₄ and Q=C₁₀

		d	ρ	Label	ID
D₄xC₅xC₁₀		200		D4xC5xC10	400,202

Semidirect products G=N:Q with N=C₅xD₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xD₄):₁C₁₀ = C₅xD₄:D₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅xD₄	40	4	(C5xD4):1C10	400,87
(C₅xD₄):₂C₁₀ = C₅xD₄xD₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅xD₄	40	4	(C5xD4):2C10	400,185
(C₅xD₄):₃C₁₀ = C₅xD₄:₂D₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅xD₄	40	4	(C5xD4):3C10	400,186
(C₅xD₄):₄C₁₀ = D₈xC₅²	φ: C₁₀/C₅ → C₂ ⊆ Out C₅xD₄	200		(C5xD4):4C10	400,113
(C₅xD₄):₅C₁₀ = C₄oD₄xC₅²	φ: trivial image	200		(C5xD4):5C10	400,204

Non-split extensions G=N.Q with N=C₅xD₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xD₄).₁C₁₀ = C₅xD₄.D₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅xD₄	40	4	(C5xD4).1C10	400,88
(C₅xD₄).₂C₁₀ = D₈xC₂₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅xD₄	200	2	(C5xD4).2C10	400,25
(C₅xD₄).₃C₁₀ = SD₁₆xC₂₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅xD₄	200	2	(C5xD4).3C10	400,26
(C₅xD₄).₄C₁₀ = SD₁₆xC₅²	φ: C₁₀/C₅ → C₂ ⊆ Out C₅xD₄	200		(C5xD4).4C10	400,114
(C₅xD₄).₅C₁₀ = D₄xC₅₀	φ: trivial image	200		(C5xD4).5C10	400,46
(C₅xD₄).₆C₁₀ = C₄oD₄xC₂₅	φ: trivial image	200	2	(C5xD4).6C10	400,48

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