Extensions 1→N→G→Q→1 with N=D₅xC₂xC₁₀ and Q=C₂

Direct product G=NxQ with N=D₅xC₂xC₁₀ and Q=C₂

		d	ρ	Label	ID
D₅xC₂²xC₁₀		80		D5xC2^2xC10	400,219

Semidirect products G=N:Q with N=D₅xC₂xC₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅xC₂xC₁₀):₁C₂ = C₂xC₅²:₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₁₀	80		(D5xC2xC10):1C2	400,176
(D₅xC₂xC₁₀):₂C₂ = C₂xC₅:D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₁₀	40		(D5xC2xC10):2C2	400,177
(D₅xC₂xC₁₀):₃C₂ = D₅xC₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₁₀	40	4	(D5xC2xC10):3C2	400,179
(D₅xC₂xC₁₀):₄C₂ = C₁₀xD₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₁₀	80		(D5xC2xC10):4C2	400,183
(D₅xC₂xC₁₀):₅C₂ = C₅xD₄xD₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₁₀	40	4	(D5xC2xC10):5C2	400,185
(D₅xC₂xC₁₀):₆C₂ = C₁₀xC₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₁₀	40		(D5xC2xC10):6C2	400,190
(D₅xC₂xC₁₀):₇C₂ = C₂²xD₅²	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₁₀	40		(D5xC2xC10):7C2	400,218

Non-split extensions G=N.Q with N=D₅xC₂xC₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅xC₂xC₁₀).₁C₂ = D₁₀:Dic₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₁₀	80		(D5xC2xC10).1C2	400,72
(D₅xC₂xC₁₀).₂C₂ = C₅xD₁₀:C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₁₀	80		(D5xC2xC10).2C2	400,86
(D₅xC₂xC₁₀).₃C₂ = C₂xD₅xDic₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₁₀	80		(D5xC2xC10).3C2	400,172
(D₅xC₂xC₁₀).₄C₂ = C₅xC₂²:F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₁₀	40	4	(D5xC2xC10).4C2	400,141
(D₅xC₂xC₁₀).₅C₂ = D₁₀.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₁₀	40	4	(D5xC2xC10).5C2	400,148
(D₅xC₂xC₁₀).₆C₂ = F₅xC₂xC₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₁₀	80		(D5xC2xC10).6C2	400,214
(D₅xC₂xC₁₀).₇C₂ = C₂²xD₅.D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂xC₁₀	80		(D5xC2xC10).7C2	400,215
(D₅xC₂xC₁₀).₈C₂ = D₅xC₂xC₂₀	φ: trivial image	80		(D5xC2xC10).8C2	400,182

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