Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³xD₅

Direct product G=NxQ with N=C₅ and Q=C₂³xD₅

		d	ρ	Label	ID
D₅xC₂²xC₁₀		80		D5xC2^2xC10	400,219

Semidirect products G=N:Q with N=C₅ and Q=C₂³xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₂³xD₅) = C₂²xD₅²	φ: C₂³xD₅/C₂²xD₅ → C₂ ⊆ Aut C₅	40		C5:1(C2^3xD5)	400,218
C₅:₂(C₂³xD₅) = C₂³xC₅:D₅	φ: C₂³xD₅/C₂²xC₁₀ → C₂ ⊆ Aut C₅	200		C5:2(C2^3xD5)	400,220

Non-split extensions G=N.Q with N=C₅ and Q=C₂³xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₂³xD₅) = C₂³xD₂₅	φ: C₂³xD₅/C₂²xC₁₀ → C₂ ⊆ Aut C₅	200		C5.(C2^3xD5)	400,54

Extensions 1→N→G→Q→1 with N=C5 and Q=C23xD5