Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄×D₅

Direct product G=N×Q with N=C₅ and Q=D₄×D₅

		d	ρ	Label	ID
C₅×D₄×D₅		40	4	C5xD4xD5	400,185

Semidirect products G=N:Q with N=C₅ and Q=D₄×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄×D₅) = D₅×D₂₀	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₅	40	4+	C5:1(D4xD5)	400,170
C₅⋊₂(D₄×D₅) = C₂₀⋊D₁₀	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₅	40	4	C5:2(D4xD5)	400,171
C₅⋊₃(D₄×D₅) = D₁₀⋊D₁₀	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₅	20	4+	C5:3(D4xD5)	400,180
C₅⋊₄(D₄×D₅) = D₄×C₅⋊D₅	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₅	100		C5:4(D4xD5)	400,195
C₅⋊₅(D₄×D₅) = D₅×C₅⋊D₄	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₅	40	4	C5:5(D4xD5)	400,179

Non-split extensions G=N.Q with N=C₅ and Q=D₄×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(D₄×D₅) = D₄×D₂₅	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₅	100	4+	C5.(D4xD5)	400,39

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