Extensions 1→N→G→Q→1 with N=C₄×D₅ and Q=C₁₀

Direct product G=N×Q with N=C₄×D₅ and Q=C₁₀

		d	ρ	Label	ID
D₅×C₂×C₂₀		80		D5xC2xC20	400,182

Semidirect products G=N:Q with N=C₄×D₅ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₅)⋊₁C₁₀ = C₅×D₄×D₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₅	40	4	(C4xD5):1C10	400,185
(C₄×D₅)⋊₂C₁₀ = C₅×D₄⋊₂D₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₅	40	4	(C4xD5):2C10	400,186
(C₄×D₅)⋊₃C₁₀ = C₅×Q₈⋊₂D₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5):3C10	400,188
(C₄×D₅)⋊₄C₁₀ = C₅×C₄○D₂₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₅	40	2	(C4xD5):4C10	400,184

Non-split extensions G=N.Q with N=C₄×D₅ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₅).₁C₁₀ = C₅×Q₈×D₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).1C10	400,187
(C₄×D₅).₂C₁₀ = C₅×C₈⋊D₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₅	80	2	(C4xD5).2C10	400,77
(C₄×D₅).₃C₁₀ = C₅×C₄.F₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).3C10	400,136
(C₄×D₅).₄C₁₀ = C₅×C₄⋊F₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).4C10	400,138
(C₄×D₅).₅C₁₀ = C₅×D₅⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).5C10	400,135
(C₄×D₅).₆C₁₀ = C₂₀×F₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).6C10	400,137
(C₄×D₅).₇C₁₀ = D₅×C₄₀	φ: trivial image	80	2	(C4xD5).7C10	400,76

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