Extensions 1→N→G→Q→1 with N=C₅ and Q=Q₈⋊₆D₄

Direct product G=N×Q with N=C₅ and Q=Q₈⋊₆D₄

		d	ρ	Label	ID
C₅×Q₈⋊₆D₄		160		C5xQ8:6D4	320,1552

Semidirect products G=N:Q with N=C₅ and Q=Q₈⋊₆D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(Q₈⋊₆D₄) = Dic₁₀⋊₂₄D₄	φ: Q₈⋊₆D₄/C₄×D₄ → C₂ ⊆ Aut C₅	160		C5:1(Q8:6D4)	320,1225
C₅⋊₂(Q₈⋊₆D₄) = Q₈⋊₆D₂₀	φ: Q₈⋊₆D₄/C₄×Q₈ → C₂ ⊆ Aut C₅	160		C5:2(Q8:6D4)	320,1249
C₅⋊₃(Q₈⋊₆D₄) = Dic₁₀⋊₂₀D₄	φ: Q₈⋊₆D₄/C₄⋊D₄ → C₂ ⊆ Aut C₅	160		C5:3(Q8:6D4)	320,1271
C₅⋊₄(Q₈⋊₆D₄) = Dic₁₀⋊₁₁D₄	φ: Q₈⋊₆D₄/C₄⋊₁D₄ → C₂ ⊆ Aut C₅	160		C5:4(Q8:6D4)	320,1390
C₅⋊₅(Q₈⋊₆D₄) = C₁₀.₁₄₈2₊¹⁺⁴	φ: Q₈⋊₆D₄/C₂×C₄○D₄ → C₂ ⊆ Aut C₅	160		C5:5(Q8:6D4)	320,1506

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