Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.₉D₄

Direct product G=N×Q with N=C₅ and Q=C₂³.₉D₄

		d	ρ	Label	ID
C₅×C₂³.₉D₄		80		C5xC2^3.9D4	320,147

Semidirect products G=N:Q with N=C₅ and Q=C₂³.₉D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³.₉D₄) = (C₂²×F₅)⋊C₄	φ: C₂³.₉D₄/C₂²⋊C₄ → C₄ ⊆ Aut C₅	40	8+	C5:1(C2^3.9D4)	320,204
C₅⋊₂(C₂³.₉D₄) = C₂²⋊F₅⋊C₄	φ: C₂³.₉D₄/C₂²×C₄ → C₄ ⊆ Aut C₅	80		C5:2(C2^3.9D4)	320,255
C₅⋊₃(C₂³.₉D₄) = C₂⁴.D₁₀	φ: C₂³.₉D₄/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₅	80		C5:3(C2^3.9D4)	320,84
C₅⋊₄(C₂³.₉D₄) = C₂⁴.₂D₁₀	φ: C₂³.₉D₄/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₅	80		C5:4(C2^3.9D4)	320,85

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