Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³×D₅

Direct product G=N×Q with N=C₅ and Q=C₂³×D₅

		d	ρ	Label	ID
D₅×C₂²×C₁₀		80		D5xC2^2xC10	400,219

Semidirect products G=N:Q with N=C₅ and Q=C₂³×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³×D₅) = C₂²×D₅²	φ: C₂³×D₅/C₂²×D₅ → C₂ ⊆ Aut C₅	40		C5:1(C2^3xD5)	400,218
C₅⋊₂(C₂³×D₅) = C₂³×C₅⋊D₅	φ: C₂³×D₅/C₂²×C₁₀ → C₂ ⊆ Aut C₅	200		C5:2(C2^3xD5)	400,220

Non-split extensions G=N.Q with N=C₅ and Q=C₂³×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₂³×D₅) = C₂³×D₂₅	φ: C₂³×D₅/C₂²×C₁₀ → C₂ ⊆ Aut C₅	200		C5.(C2^3xD5)	400,54

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Extensions 1→N→G→Q→1 with N=C5 and Q=C23×D5