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
C₅×C₂³.D₅		40		C5xC2^3.D5	400,91

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂³.D₅) = D₁₀.D₁₀	φ: C₂³.D₅/C₂×C₁₀ → C₄ ⊆ Aut C₅	40	4	C5:(C2^3.D5)	400,148
C₅⋊₂(C₂³.D₅) = D₁₀⋊Dic₅	φ: C₂³.D₅/C₂×Dic₅ → C₂ ⊆ Aut C₅	80		C5:2(C2^3.D5)	400,72
C₅⋊₃(C₂³.D₅) = C₁₀²⋊₁₁C₄	φ: C₂³.D₅/C₂²×C₁₀ → C₂ ⊆ Aut C₅	200		C5:3(C2^3.D5)	400,107

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.(C2^3.D5)	400,19

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