Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂²xF₅

Direct product G=NxQ with N=C₅ and Q=C₂²xF₅

		d	ρ	Label	ID
F₅xC₂xC₁₀		80		F5xC2xC10	400,214

Semidirect products G=N:Q with N=C₅ and Q=C₂²xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₂²xF₅) = C₂xD₅:F₅	φ: C₂²xF₅/D₁₀ → C₄ ⊆ Aut C₅	20	8+	C5:1(C2^2xF5)	400,210
C₅:₂(C₂²xF₅) = C₂²xC₅:F₅	φ: C₂²xF₅/C₂xC₁₀ → C₄ ⊆ Aut C₅	100		C5:2(C2^2xF5)	400,216
C₅:₃(C₂²xF₅) = C₂²xC₅²:C₄	φ: C₂²xF₅/C₂xC₁₀ → C₄ ⊆ Aut C₅	40		C5:3(C2^2xF5)	400,217
C₅:₄(C₂²xF₅) = C₂xD₅xF₅	φ: C₂²xF₅/C₂xF₅ → C₂ ⊆ Aut C₅	40	8+	C5:4(C2^2xF5)	400,209
C₅:₅(C₂²xF₅) = C₂²xD₅.D₅	φ: C₂²xF₅/C₂²xD₅ → C₂ ⊆ Aut C₅	80		C5:5(C2^2xF5)	400,215

Non-split extensions G=N.Q with N=C₅ and Q=C₂²xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₂²xF₅) = C₂²xC₂₅:C₄	φ: C₂²xF₅/C₂xC₁₀ → C₄ ⊆ Aut C₅	100		C5.(C2^2xF5)	400,53

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