Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂₅:C₄

Direct product G=NxQ with N=C₅ and Q=C₂₅:C₄

		d	ρ	Label	ID
C₅xC₂₅:C₄		100	4	C5xC25:C4	500,16

Semidirect products G=N:Q with N=C₅ and Q=C₂₅:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₂₅:C₄) = C₂₅:F₅	φ: C₂₅:C₄/C₂₅ → C₄ ⊆ Aut C₅	125		C5:1(C25:C4)	500,22
C₅:₂(C₂₅:C₄) = C₂₅:₂F₅	φ: C₂₅:C₄/C₂₅ → C₄ ⊆ Aut C₅	50	4+	C5:2(C25:C4)	500,24
C₅:₃(C₂₅:C₄) = D₂₅.D₅	φ: C₂₅:C₄/D₂₅ → C₂ ⊆ Aut C₅	100	4	C5:3(C25:C4)	500,20

Non-split extensions G=N.Q with N=C₅ and Q=C₂₅:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₂₅:C₄) = C₁₂₅:C₄	φ: C₂₅:C₄/C₂₅ → C₄ ⊆ Aut C₅	125	4+	C5.(C25:C4)	500,3

Extensions 1→N→G→Q→1 with N=C5 and Q=C25:C4