Extensions 1→N→G→Q→1 with N=C₅ and Q=C₅xC₄:C₄

Direct product G=NxQ with N=C₅ and Q=C₅xC₄:C₄

		d	ρ	Label	ID
C₄:C₄xC₅²		400		C4:C4xC5^2	400,110

Semidirect products G=N:Q with N=C₅ and Q=C₅xC₄:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:(C₅xC₄:C₄) = C₅xC₄:F₅	φ: C₅xC₄:C₄/C₂₀ → C₄ ⊆ Aut C₅	80	4	C5:(C5xC4:C4)	400,138
C₅:₂(C₅xC₄:C₄) = C₅xC₁₀.D₄	φ: C₅xC₄:C₄/C₂xC₂₀ → C₂ ⊆ Aut C₅	80		C5:2(C5xC4:C4)	400,84
C₅:₃(C₅xC₄:C₄) = C₅xC₄:Dic₅	φ: C₅xC₄:C₄/C₂xC₂₀ → C₂ ⊆ Aut C₅	80		C5:3(C5xC4:C4)	400,85

Non-split extensions G=N.Q with N=C₅ and Q=C₅xC₄:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₅xC₄:C₄) = C₄:C₄xC₂₅	central extension (φ=1)	400		C5.(C5xC4:C4)	400,22

Extensions 1→N→G→Q→1 with N=C5 and Q=C5xC4:C4