Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂²⋊Q₈

Direct product G=N×Q with N=C₅ and Q=C₂²⋊Q₈

		d	ρ	Label	ID
C₅×C₂²⋊Q₈		80		C5xC2^2:Q8	160,183

Semidirect products G=N:Q with N=C₅ and Q=C₂²⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂²⋊Q₈) = Dic₅.₁₄D₄	φ: C₂²⋊Q₈/C₂²⋊C₄ → C₂ ⊆ Aut C₅	80		C5:1(C2^2:Q8)	160,99
C₅⋊₂(C₂²⋊Q₈) = D₁₀⋊Q₈	φ: C₂²⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₅	80		C5:2(C2^2:Q8)	160,117
C₅⋊₃(C₂²⋊Q₈) = D₁₀⋊₂Q₈	φ: C₂²⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₅	80		C5:3(C2^2:Q8)	160,118
C₅⋊₄(C₂²⋊Q₈) = C₂₀.₄₈D₄	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₅	80		C5:4(C2^2:Q8)	160,145
C₅⋊₅(C₂²⋊Q₈) = D₁₀⋊₃Q₈	φ: C₂²⋊Q₈/C₂×Q₈ → C₂ ⊆ Aut C₅	80		C5:5(C2^2:Q8)	160,167

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