Extensions 1→N→G→Q→1 with N=C₅ and Q=Q₈⋊₃Q₈

Direct product G=N×Q with N=C₅ and Q=Q₈⋊₃Q₈

		d	ρ	Label	ID
C₅×Q₈⋊₃Q₈		320		C5xQ8:3Q8	320,1559

Semidirect products G=N:Q with N=C₅ and Q=Q₈⋊₃Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(Q₈⋊₃Q₈) = Dic₁₀⋊₁₀Q₈	φ: Q₈⋊₃Q₈/C₄×Q₈ → C₂ ⊆ Aut C₅	320		C5:1(Q8:3Q8)	320,1239
C₅⋊₂(Q₈⋊₃Q₈) = Q₈⋊₅Dic₁₀	φ: Q₈⋊₃Q₈/C₄×Q₈ → C₂ ⊆ Aut C₅	320		C5:2(Q8:3Q8)	320,1241
C₅⋊₃(Q₈⋊₃Q₈) = Q₈⋊₆Dic₁₀	φ: Q₈⋊₃Q₈/C₄×Q₈ → C₂ ⊆ Aut C₅	320		C5:3(Q8:3Q8)	320,1242
C₅⋊₄(Q₈⋊₃Q₈) = Dic₁₀⋊₇Q₈	φ: Q₈⋊₃Q₈/C₄².C₂ → C₂ ⊆ Aut C₅	320		C5:4(Q8:3Q8)	320,1357
C₅⋊₅(Q₈⋊₃Q₈) = Dic₁₀⋊₈Q₈	φ: Q₈⋊₃Q₈/C₄⋊Q₈ → C₂ ⊆ Aut C₅	320		C5:5(Q8:3Q8)	320,1393

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