Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂²⋊C₈

Direct product G=N×Q with N=C₅ and Q=C₂²⋊C₈

		d	ρ	Label	ID
C₅×C₂²⋊C₈		80		C5xC2^2:C8	160,48

Semidirect products G=N:Q with N=C₅ and Q=C₂²⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂²⋊C₈) = D₁₀⋊C₈	φ: C₂²⋊C₈/C₂×C₄ → C₄ ⊆ Aut C₅	80		C5:1(C2^2:C8)	160,78
C₅⋊₂(C₂²⋊C₈) = C₂³.₂F₅	φ: C₂²⋊C₈/C₂³ → C₄ ⊆ Aut C₅	80		C5:2(C2^2:C8)	160,87
C₅⋊₃(C₂²⋊C₈) = D₁₀⋊₁C₈	φ: C₂²⋊C₈/C₂×C₈ → C₂ ⊆ Aut C₅	80		C5:3(C2^2:C8)	160,27
C₅⋊₄(C₂²⋊C₈) = C₂₀.₅₅D₄	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₅	80		C5:4(C2^2:C8)	160,37

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