Extensions 1→N→G→Q→1 with N=C₄ and Q=D₂₅

Direct product G=NxQ with N=C₄ and Q=D₂₅

		d	ρ	Label	ID
C₄xD₂₅		100	2	C4xD25	200,5

Semidirect products G=N:Q with N=C₄ and Q=D₂₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:D₂₅ = D₁₀₀	φ: D₂₅/C₂₅ → C₂ ⊆ Aut C₄	100	2+	C4:D25	200,6

Non-split extensions G=N.Q with N=C₄ and Q=D₂₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.D₂₅ = Dic₅₀	φ: D₂₅/C₂₅ → C₂ ⊆ Aut C₄	200	2-	C4.D25	200,4
C₄.₂D₂₅ = C₂₅:₂C₈	central extension (φ=1)	200	2	C4.2D25	200,1

Extensions 1→N→G→Q→1 with N=C4 and Q=D25