Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈xD₅

Direct product G=NxQ with N=C₅ and Q=C₈xD₅

		d	ρ	Label	ID
D₅xC₄₀		80	2	D5xC40	400,76

Semidirect products G=N:Q with N=C₅ and Q=C₈xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₈xD₅) = Dic₅.₄F₅	φ: C₈xD₅/Dic₅ → C₄ ⊆ Aut C₅	40	8+	C5:1(C8xD5)	400,121
C₅:₂(C₈xD₅) = D₅xC₅:C₈	φ: C₈xD₅/D₁₀ → C₄ ⊆ Aut C₅	80	8-	C5:2(C8xD5)	400,120
C₅:₃(C₈xD₅) = C₂₀.₂₉D₁₀	φ: C₈xD₅/C₅:₂C₈ → C₂ ⊆ Aut C₅	40	4	C5:3(C8xD5)	400,61
C₅:₄(C₈xD₅) = C₈xC₅:D₅	φ: C₈xD₅/C₄₀ → C₂ ⊆ Aut C₅	200		C5:4(C8xD5)	400,92
C₅:₅(C₈xD₅) = D₅xC₅:₂C₈	φ: C₈xD₅/C₄xD₅ → C₂ ⊆ Aut C₅	80	4	C5:5(C8xD5)	400,60

Non-split extensions G=N.Q with N=C₅ and Q=C₈xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₈xD₅) = C₈xD₂₅	φ: C₈xD₅/C₄₀ → C₂ ⊆ Aut C₅	200	2	C5.(C8xD5)	400,5

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