Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄xD₅

Direct product G=NxQ with N=C₅ and Q=D₄xD₅

		d	ρ	Label	ID
C₅xD₄xD₅		40	4	C5xD4xD5	400,185

Semidirect products G=N:Q with N=C₅ and Q=D₄xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(D₄xD₅) = D₅xD₂₀	φ: D₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₅	40	4+	C5:1(D4xD5)	400,170
C₅:₂(D₄xD₅) = C₂₀:D₁₀	φ: D₄xD₅/D₂₀ → C₂ ⊆ Aut C₅	40	4	C5:2(D4xD5)	400,171
C₅:₃(D₄xD₅) = D₁₀:D₁₀	φ: D₄xD₅/C₅:D₄ → C₂ ⊆ Aut C₅	20	4+	C5:3(D4xD5)	400,180
C₅:₄(D₄xD₅) = D₄xC₅:D₅	φ: D₄xD₅/C₅xD₄ → C₂ ⊆ Aut C₅	100		C5:4(D4xD5)	400,195
C₅:₅(D₄xD₅) = D₅xC₅:D₄	φ: D₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₅	40	4	C5:5(D4xD5)	400,179

Non-split extensions G=N.Q with N=C₅ and Q=D₄xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(D₄xD₅) = D₄xD₂₅	φ: D₄xD₅/C₅xD₄ → C₂ ⊆ Aut C₅	100	4+	C5.(D4xD5)	400,39

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