Extensions 1→N→G→Q→1 with N=C₅ and Q=Q₈⋊₅D₄

Direct product G=N×Q with N=C₅ and Q=Q₈⋊₅D₄

		d	ρ	Label	ID
C₅×Q₈⋊₅D₄		160		C5xQ8:5D4	320,1550

Semidirect products G=N:Q with N=C₅ and Q=Q₈⋊₅D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(Q₈⋊₅D₄) = Dic₁₀⋊₂₃D₄	φ: Q₈⋊₅D₄/C₄×D₄ → C₂ ⊆ Aut C₅	160		C5:1(Q8:5D4)	320,1224
C₅⋊₂(Q₈⋊₅D₄) = Q₈⋊₅D₂₀	φ: Q₈⋊₅D₄/C₄×Q₈ → C₂ ⊆ Aut C₅	160		C5:2(Q8:5D4)	320,1248
C₅⋊₃(Q₈⋊₅D₄) = Dic₁₀⋊₁₉D₄	φ: Q₈⋊₅D₄/C₄⋊D₄ → C₂ ⊆ Aut C₅	160		C5:3(Q8:5D4)	320,1270
C₅⋊₄(Q₈⋊₅D₄) = Dic₁₀⋊₂₂D₄	φ: Q₈⋊₅D₄/C₂²⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:4(Q8:5D4)	320,1305
C₅⋊₅(Q₈⋊₅D₄) = Dic₁₀⋊₁₀D₄	φ: Q₈⋊₅D₄/C₄.₄D₄ → C₂ ⊆ Aut C₅	160		C5:5(Q8:5D4)	320,1349
C₅⋊₆(Q₈⋊₅D₄) = C₁₀.₄₅2_-¹⁺⁴	φ: Q₈⋊₅D₄/C₂²×Q₈ → C₂ ⊆ Aut C₅	160		C5:6(Q8:5D4)	320,1489
C₅⋊₇(Q₈⋊₅D₄) = C₁₀.₁₀₇2_-¹⁺⁴	φ: Q₈⋊₅D₄/C₂×C₄○D₄ → C₂ ⊆ Aut C₅	160		C5:7(Q8:5D4)	320,1503

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