Extensions 1→N→G→Q→1 with N=D₅xC₂₀ and Q=C₂

Direct product G=NxQ with N=D₅xC₂₀ and Q=C₂

		d	ρ	Label	ID
D₅xC₂xC₂₀		80		D5xC2xC20	400,182

Semidirect products G=N:Q with N=D₅xC₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅xC₂₀):₁C₂ = D₁₀.₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	40	4	(D5xC20):1C2	400,167
(D₅xC₂₀):₂C₂ = D₂₀:₅D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	80	4-	(D5xC20):2C2	400,164
(D₅xC₂₀):₃C₂ = Dic₁₀:₅D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	40	4+	(D5xC20):3C2	400,168
(D₅xC₂₀):₄C₂ = D₅xD₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	40	4+	(D5xC20):4C2	400,170
(D₅xC₂₀):₅C₂ = C₅xD₄xD₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	40	4	(D5xC20):5C2	400,185
(D₅xC₂₀):₆C₂ = C₅xD₄:₂D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	40	4	(D5xC20):6C2	400,186
(D₅xC₂₀):₇C₂ = C₅xQ₈:₂D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	80	4	(D5xC20):7C2	400,188
(D₅xC₂₀):₈C₂ = C₄xD₅²	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	40	4	(D5xC20):8C2	400,169
(D₅xC₂₀):₉C₂ = C₅xC₄oD₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	40	2	(D5xC20):9C2	400,184

Non-split extensions G=N.Q with N=D₅xC₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅xC₂₀).₁C₂ = C₂₀.₃₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	80	4	(D5xC20).1C2	400,62
(D₅xC₂₀).₂C₂ = C₂₀.₁₂F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	80	4	(D5xC20).2C2	400,143
(D₅xC₂₀).₃C₂ = C₂₀:₅F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	80	4	(D5xC20).3C2	400,145
(D₅xC₂₀).₄C₂ = D₅xDic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	80	4-	(D5xC20).4C2	400,163
(D₅xC₂₀).₅C₂ = C₅xQ₈xD₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	80	4	(D5xC20).5C2	400,187
(D₅xC₂₀).₆C₂ = D₅xC₅:₂C₈	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	80	4	(D5xC20).6C2	400,60
(D₅xC₂₀).₇C₂ = C₅xC₈:D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	80	2	(D5xC20).7C2	400,77
(D₅xC₂₀).₈C₂ = C₅xC₄.F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	80	4	(D5xC20).8C2	400,136
(D₅xC₂₀).₉C₂ = C₅xC₄:F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	80	4	(D5xC20).9C2	400,138
(D₅xC₂₀).₁₀C₂ = C₅xD₅:C₈	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	80	4	(D5xC20).10C2	400,135
(D₅xC₂₀).₁₁C₂ = C₂₀xF₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	80	4	(D5xC20).11C2	400,137
(D₅xC₂₀).₁₂C₂ = C₂₀.₁₄F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	80	4	(D5xC20).12C2	400,142
(D₅xC₂₀).₁₃C₂ = C₄xD₅.D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂₀	80	4	(D5xC20).13C2	400,144
(D₅xC₂₀).₁₄C₂ = D₅xC₄₀	φ: trivial image	80	2	(D5xC20).14C2	400,76

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