Extensions 1→N→G→Q→1 with N=C₅xC₂₀ and Q=C₄

Direct product G=NxQ with N=C₅xC₂₀ and Q=C₄

		d	ρ	Label	ID
C₂₀²		400		C20^2	400,108

Semidirect products G=N:Q with N=C₅xC₂₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅xC₂₀):₁C₄ = C₂₀:₅F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₂₀	80	4	(C5xC20):1C4	400,145
(C₅xC₂₀):₂C₄ = C₅xC₄:F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₂₀	80	4	(C5xC20):2C4	400,138
(C₅xC₂₀):₃C₄ = C₂₀:F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₂₀	100		(C5xC20):3C4	400,152
(C₅xC₂₀):₄C₄ = C₂₀:₂F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₂₀	40	4	(C5xC20):4C4	400,159
(C₅xC₂₀):₅C₄ = C₂₀xF₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₂₀	80	4	(C5xC20):5C4	400,137
(C₅xC₂₀):₆C₄ = C₄xD₅.D₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₂₀	80	4	(C5xC20):6C4	400,144
(C₅xC₂₀):₇C₄ = C₄xC₅:F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₂₀	100		(C5xC20):7C4	400,151
(C₅xC₂₀):₈C₄ = C₄xC₅²:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₂₀	40	4	(C5xC20):8C4	400,158
(C₅xC₂₀):₉C₄ = C₂₀:₃Dic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₅xC₂₀	400		(C5xC20):9C4	400,101
(C₅xC₂₀):₁₀C₄ = C₅xC₄:Dic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₅xC₂₀	80		(C5xC20):10C4	400,85
(C₅xC₂₀):₁₁C₄ = Dic₅xC₂₀	φ: C₄/C₂ → C₂ ⊆ Aut C₅xC₂₀	80		(C5xC20):11C4	400,83
(C₅xC₂₀):₁₂C₄ = C₄xC₅²:₆C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₅xC₂₀	400		(C5xC20):12C4	400,99
(C₅xC₂₀):₁₃C₄ = C₄:C₄xC₅²	φ: C₄/C₂ → C₂ ⊆ Aut C₅xC₂₀	400		(C5xC20):13C4	400,110

Non-split extensions G=N.Q with N=C₅xC₂₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅xC₂₀).₁C₄ = C₂₀.₁₂F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₂₀	80	4	(C5xC20).1C4	400,143
(C₅xC₂₀).₂C₄ = C₅xC₄.F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₂₀	80	4	(C5xC20).2C4	400,136
(C₅xC₂₀).₃C₄ = C₅²:₇M₄(2)	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₂₀	200		(C5xC20).3C4	400,150
(C₅xC₂₀).₄C₄ = C₅²:₈M₄(2)	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₂₀	40	4	(C5xC20).4C4	400,157
(C₅xC₂₀).₅C₄ = C₅xC₅:C₁₆	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₂₀	80	4	(C5xC20).5C4	400,56
(C₅xC₂₀).₆C₄ = C₅²:₃C₁₆	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₂₀	80	4	(C5xC20).6C4	400,57
(C₅xC₂₀).₇C₄ = C₅²:₄C₁₆	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₂₀	400		(C5xC20).7C4	400,58
(C₅xC₂₀).₈C₄ = C₅²:₅C₁₆	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₂₀	80	4	(C5xC20).8C4	400,59
(C₅xC₂₀).₉C₄ = C₅xD₅:C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₂₀	80	4	(C5xC20).9C4	400,135
(C₅xC₂₀).₁₀C₄ = C₂₀.₁₄F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₂₀	80	4	(C5xC20).10C4	400,142
(C₅xC₂₀).₁₁C₄ = C₂₀.F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₂₀	200		(C5xC20).11C4	400,149
(C₅xC₂₀).₁₂C₄ = C₂₀.₁₁F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₂₀	40	4	(C5xC20).12C4	400,156
(C₅xC₂₀).₁₃C₄ = C₂₀.₅₉D₁₀	φ: C₄/C₂ → C₂ ⊆ Aut C₅xC₂₀	200		(C5xC20).13C4	400,98
(C₅xC₂₀).₁₄C₄ = C₅xC₄.Dic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₅xC₂₀	40	2	(C5xC20).14C4	400,82
(C₅xC₂₀).₁₅C₄ = C₅xC₅:₂C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₅xC₂₀	80	2	(C5xC20).15C4	400,49
(C₅xC₂₀).₁₆C₄ = C₅²:₇C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₅xC₂₀	400		(C5xC20).16C4	400,50
(C₅xC₂₀).₁₇C₄ = C₁₀xC₅:₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₅xC₂₀	80		(C5xC20).17C4	400,81
(C₅xC₂₀).₁₈C₄ = C₂xC₅²:₇C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₅xC₂₀	400		(C5xC20).18C4	400,97
(C₅xC₂₀).₁₉C₄ = M₄(2)xC₅²	φ: C₄/C₂ → C₂ ⊆ Aut C₅xC₂₀	200		(C5xC20).19C4	400,112

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