Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³⋊C₈

Direct product G=N×Q with N=C₅ and Q=C₂³⋊C₈

		d	ρ	Label	ID
C₅×C₂³⋊C₈		80		C5xC2^3:C8	320,128

Semidirect products G=N:Q with N=C₅ and Q=C₂³⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³⋊C₈) = C₅⋊(C₂³⋊C₈)	φ: C₂³⋊C₈/C₂²×C₄ → C₄ ⊆ Aut C₅	80		C5:1(C2^3:C8)	320,253
C₅⋊₂(C₂³⋊C₈) = C₂⁴.F₅	φ: C₂³⋊C₈/C₂⁴ → C₄ ⊆ Aut C₅	80		C5:2(C2^3:C8)	320,271
C₅⋊₃(C₂³⋊C₈) = C₅⋊₃(C₂³⋊C₈)	φ: C₂³⋊C₈/C₂²⋊C₈ → C₂ ⊆ Aut C₅	80		C5:3(C2^3:C8)	320,26
C₅⋊₄(C₂³⋊C₈) = C₂⁴.Dic₅	φ: C₂³⋊C₈/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₅	80		C5:4(C2^3:C8)	320,83

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