Extensions 1→N→G→Q→1 with N=C₅xC₁₀ and Q=C₄

Direct product G=NxQ with N=C₅xC₁₀ and Q=C₄

		d	ρ	Label	ID
C₁₀xC₂₀		200		C10xC20	200,37

Semidirect products G=N:Q with N=C₅xC₁₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅xC₁₀):₁C₄ = C₁₀xF₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₁₀	40	4	(C5xC10):1C4	200,45
(C₅xC₁₀):₂C₄ = C₂xD₅.D₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₁₀	40	4	(C5xC10):2C4	200,46
(C₅xC₁₀):₃C₄ = C₂xC₅:F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₁₀	50		(C5xC10):3C4	200,47
(C₅xC₁₀):₄C₄ = C₂xC₅²:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₁₀	20	4+	(C5xC10):4C4	200,48
(C₅xC₁₀):₅C₄ = C₁₀xDic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₅xC₁₀	40		(C5xC10):5C4	200,30
(C₅xC₁₀):₆C₄ = C₂xC₅²:₆C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₅xC₁₀	200		(C5xC10):6C4	200,35

Non-split extensions G=N.Q with N=C₅xC₁₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅xC₁₀).₁C₄ = C₅xC₅:C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₁₀	40	4	(C5xC10).1C4	200,18
(C₅xC₁₀).₂C₄ = C₅²:₃C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₁₀	40	4	(C5xC10).2C4	200,19
(C₅xC₁₀).₃C₄ = C₅²:₄C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₁₀	200		(C5xC10).3C4	200,20
(C₅xC₁₀).₄C₄ = C₅²:₅C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₅xC₁₀	40	4-	(C5xC10).4C4	200,21
(C₅xC₁₀).₅C₄ = C₅xC₅:₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₅xC₁₀	40	2	(C5xC10).5C4	200,15
(C₅xC₁₀).₆C₄ = C₅²:₇C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₅xC₁₀	200		(C5xC10).6C4	200,16

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