Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂²xD₅

Direct product G=NxQ with N=C₅ and Q=C₂²xD₅

		d	ρ	Label	ID
D₅xC₂xC₁₀		40		D5xC2xC10	200,50

Semidirect products G=N:Q with N=C₅ and Q=C₂²xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₂²xD₅) = C₂xD₅²	φ: C₂²xD₅/D₁₀ → C₂ ⊆ Aut C₅	20	4+	C5:1(C2^2xD5)	200,49
C₅:₂(C₂²xD₅) = C₂²xC₅:D₅	φ: C₂²xD₅/C₂xC₁₀ → C₂ ⊆ Aut C₅	100		C5:2(C2^2xD5)	200,51

Non-split extensions G=N.Q with N=C₅ and Q=C₂²xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₂²xD₅) = C₂²xD₂₅	φ: C₂²xD₅/C₂xC₁₀ → C₂ ⊆ Aut C₅	100		C5.(C2^2xD5)	200,13

Extensions 1→N→G→Q→1 with N=C5 and Q=C22xD5