Extensions 1→N→G→Q→1 with N=C₅ and Q=C₅xC₄oD₄

Direct product G=NxQ with N=C₅ and Q=C₅xC₄oD₄

		d	ρ	Label	ID
C₄oD₄xC₅²		200		C4oD4xC5^2	400,204

Semidirect products G=N:Q with N=C₅ and Q=C₅xC₄oD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₅xC₄oD₄) = C₅xC₄oD₂₀	φ: C₅xC₄oD₄/C₂xC₂₀ → C₂ ⊆ Aut C₅	40	2	C5:1(C5xC4oD4)	400,184
C₅:₂(C₅xC₄oD₄) = C₅xD₄:₂D₅	φ: C₅xC₄oD₄/C₅xD₄ → C₂ ⊆ Aut C₅	40	4	C5:2(C5xC4oD4)	400,186
C₅:₃(C₅xC₄oD₄) = C₅xQ₈:₂D₅	φ: C₅xC₄oD₄/C₅xQ₈ → C₂ ⊆ Aut C₅	80	4	C5:3(C5xC4oD4)	400,188

Non-split extensions G=N.Q with N=C₅ and Q=C₅xC₄oD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₅xC₄oD₄) = C₄oD₄xC₂₅	central extension (φ=1)	200	2	C5.(C5xC4oD4)	400,48

Extensions 1→N→G→Q→1 with N=C5 and Q=C5xC4oD4