Extensions 1→N→G→Q→1 with N=C₅×D₄ and Q=C₁₀

Direct product G=N×Q with N=C₅×D₄ and Q=C₁₀

		d	ρ	Label	ID
D₄×C₅×C₁₀		200		D4xC5xC10	400,202

Semidirect products G=N:Q with N=C₅×D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄)⋊₁C₁₀ = C₅×D₄⋊D₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅×D₄	40	4	(C5xD4):1C10	400,87
(C₅×D₄)⋊₂C₁₀ = C₅×D₄×D₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅×D₄	40	4	(C5xD4):2C10	400,185
(C₅×D₄)⋊₃C₁₀ = C₅×D₄⋊₂D₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅×D₄	40	4	(C5xD4):3C10	400,186
(C₅×D₄)⋊₄C₁₀ = D₈×C₅²	φ: C₁₀/C₅ → C₂ ⊆ Out C₅×D₄	200		(C5xD4):4C10	400,113
(C₅×D₄)⋊₅C₁₀ = C₄○D₄×C₅²	φ: trivial image	200		(C5xD4):5C10	400,204

Non-split extensions G=N.Q with N=C₅×D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄).₁C₁₀ = C₅×D₄.D₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅×D₄	40	4	(C5xD4).1C10	400,88
(C₅×D₄).₂C₁₀ = D₈×C₂₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅×D₄	200	2	(C5xD4).2C10	400,25
(C₅×D₄).₃C₁₀ = SD₁₆×C₂₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅×D₄	200	2	(C5xD4).3C10	400,26
(C₅×D₄).₄C₁₀ = SD₁₆×C₅²	φ: C₁₀/C₅ → C₂ ⊆ Out C₅×D₄	200		(C5xD4).4C10	400,114
(C₅×D₄).₅C₁₀ = D₄×C₅₀	φ: trivial image	200		(C5xD4).5C10	400,46
(C₅×D₄).₆C₁₀ = C₄○D₄×C₂₅	φ: trivial image	200	2	(C5xD4).6C10	400,48

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