Extensions 1→N→G→Q→1 with N=D₅xC₁₀ and Q=C₄

Direct product G=NxQ with N=D₅xC₁₀ and Q=C₄

		d	ρ	Label	ID
D₅xC₂xC₂₀		80		D5xC2xC20	400,182

Semidirect products G=N:Q with N=D₅xC₁₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅xC₁₀):₁C₄ = D₅.D₂₀	φ: C₄/C₁ → C₄ ⊆ Out D₅xC₁₀	40	8+	(D5xC10):1C4	400,118
(D₅xC₁₀):₂C₄ = D₁₀:F₅	φ: C₄/C₁ → C₄ ⊆ Out D₅xC₁₀	20	8+	(D5xC10):2C4	400,125
(D₅xC₁₀):₃C₄ = C₂xD₅xF₅	φ: C₄/C₁ → C₄ ⊆ Out D₅xC₁₀	40	8+	(D5xC10):3C4	400,209
(D₅xC₁₀):₄C₄ = C₂xD₅:F₅	φ: C₄/C₁ → C₄ ⊆ Out D₅xC₁₀	20	8+	(D5xC10):4C4	400,210
(D₅xC₁₀):₅C₄ = D₁₀:Dic₅	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₀	80		(D5xC10):5C4	400,72
(D₅xC₁₀):₆C₄ = C₅xD₁₀:C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₀	80		(D5xC10):6C4	400,86
(D₅xC₁₀):₇C₄ = C₂xD₅xDic₅	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₀	80		(D5xC10):7C4	400,172
(D₅xC₁₀):₈C₄ = C₅xC₂²:F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₀	40	4	(D5xC10):8C4	400,141
(D₅xC₁₀):₉C₄ = D₁₀.D₁₀	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₀	40	4	(D5xC10):9C4	400,148
(D₅xC₁₀):₁₀C₄ = F₅xC₂xC₁₀	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₀	80		(D5xC10):10C4	400,214
(D₅xC₁₀):₁₁C₄ = C₂²xD₅.D₅	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₀	80		(D5xC10):11C4	400,215

Non-split extensions G=N.Q with N=D₅xC₁₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅xC₁₀).₁C₄ = D₅xC₅:C₈	φ: C₄/C₁ → C₄ ⊆ Out D₅xC₁₀	80	8-	(D5xC10).1C4	400,120
(D₅xC₁₀).₂C₄ = D₁₀.F₅	φ: C₄/C₁ → C₄ ⊆ Out D₅xC₁₀	80	8-	(D5xC10).2C4	400,122
(D₅xC₁₀).₃C₄ = D₁₀.₂F₅	φ: C₄/C₁ → C₄ ⊆ Out D₅xC₁₀	80	8-	(D5xC10).3C4	400,127
(D₅xC₁₀).₄C₄ = C₅²:₄M₄(2)	φ: C₄/C₁ → C₄ ⊆ Out D₅xC₁₀	80	8-	(D5xC10).4C4	400,128
(D₅xC₁₀).₅C₄ = D₅xC₅:₂C₈	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₀	80	4	(D5xC10).5C4	400,60
(D₅xC₁₀).₆C₄ = C₂₀.₃₀D₁₀	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₀	80	4	(D5xC10).6C4	400,62
(D₅xC₁₀).₇C₄ = C₅xC₈:D₅	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₀	80	2	(D5xC10).7C4	400,77
(D₅xC₁₀).₈C₄ = C₅xD₅:C₈	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₀	80	4	(D5xC10).8C4	400,135
(D₅xC₁₀).₉C₄ = C₅xC₄.F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₀	80	4	(D5xC10).9C4	400,136
(D₅xC₁₀).₁₀C₄ = C₂₀.₁₄F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₀	80	4	(D5xC10).10C4	400,142
(D₅xC₁₀).₁₁C₄ = C₂₀.₁₂F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₀	80	4	(D5xC10).11C4	400,143
(D₅xC₁₀).₁₂C₄ = D₅xC₄₀	φ: trivial image	80	2	(D5xC10).12C4	400,76

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