Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.₂₀D₄

Direct product G=N×Q with N=C₅ and Q=C₂³.₂₀D₄

		d	ρ	Label	ID
C₅×C₂³.₂₀D₄		160		C5xC2^3.20D4	320,986

Semidirect products G=N:Q with N=C₅ and Q=C₂³.₂₀D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³.₂₀D₄) = C₂³.₁₀D₂₀	φ: C₂³.₂₀D₄/C₂²⋊C₈ → C₂ ⊆ Aut C₅	160		C5:1(C2^3.20D4)	320,350
C₅⋊₂(C₂³.₂₀D₄) = (C₂×C₈).D₁₀	φ: C₂³.₂₀D₄/Q₈⋊C₄ → C₂ ⊆ Aut C₅	160		C5:2(C2^3.20D4)	320,441
C₅⋊₃(C₂³.₂₀D₄) = D₁₀⋊₁C₈.C₂	φ: C₂³.₂₀D₄/Q₈⋊C₄ → C₂ ⊆ Aut C₅	160		C5:3(C2^3.20D4)	320,442
C₅⋊₄(C₂³.₂₀D₄) = C₂₀.(C₄○D₄)	φ: C₂³.₂₀D₄/C₄.Q₈ → C₂ ⊆ Aut C₅	160		C5:4(C2^3.20D4)	320,494
C₅⋊₅(C₂³.₂₀D₄) = C₂.D₈⋊₇D₅	φ: C₂³.₂₀D₄/C₂.D₈ → C₂ ⊆ Aut C₅	160		C5:5(C2^3.20D4)	320,515
C₅⋊₆(C₂³.₂₀D₄) = C₄⋊C₄.₂₃₃D₁₀	φ: C₂³.₂₀D₄/C₄²⋊C₂ → C₂ ⊆ Aut C₅	160		C5:6(C2^3.20D4)	320,623
C₅⋊₇(C₂³.₂₀D₄) = C₁₀.(C₄○D₈)	φ: C₂³.₂₀D₄/C₂²⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:7(C2^3.20D4)	320,672

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