Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄xF₅

Direct product G=NxQ with N=C₅ and Q=C₄xF₅

		d	ρ	Label	ID
C₂₀xF₅		80	4	C20xF5	400,137

Semidirect products G=N:Q with N=C₅ and Q=C₄xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₄xF₅) = C₅²:₃C₄²	φ: C₄xF₅/Dic₅ → C₄ ⊆ Aut C₅	20	8+	C5:1(C4xF5)	400,124
C₅:₂(C₄xF₅) = C₄xC₅:F₅	φ: C₄xF₅/C₂₀ → C₄ ⊆ Aut C₅	100		C5:2(C4xF5)	400,151
C₅:₃(C₄xF₅) = C₄xC₅²:C₄	φ: C₄xF₅/C₂₀ → C₄ ⊆ Aut C₅	40	4	C5:3(C4xF5)	400,158
C₅:₄(C₄xF₅) = F₅²	φ: C₄xF₅/F₅ → C₄ ⊆ Aut C₅	20	16+	C5:4(C4xF5)	400,205
C₅:₅(C₄xF₅) = C₄xD₅.D₅	φ: C₄xF₅/C₄xD₅ → C₂ ⊆ Aut C₅	80	4	C5:5(C4xF5)	400,144
C₅:₆(C₄xF₅) = Dic₅xF₅	φ: C₄xF₅/C₂xF₅ → C₂ ⊆ Aut C₅	80	8-	C5:6(C4xF5)	400,117

Non-split extensions G=N.Q with N=C₅ and Q=C₄xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₄xF₅) = C₄xC₂₅:C₄	φ: C₄xF₅/C₂₀ → C₄ ⊆ Aut C₅	100	4	C5.(C4xF5)	400,30

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