Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.₈₁C₂³

Direct product G=N×Q with N=C₅ and Q=C₂³.₈₁C₂³

		d	ρ	Label	ID
C₅×C₂³.₈₁C₂³		320		C5xC2^3.81C2^3	320,899

Semidirect products G=N:Q with N=C₅ and Q=C₂³.₈₁C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³.₈₁C₂³) = C₂.(C₂₀⋊Q₈)	φ: C₂³.₈₁C₂³/C₂.C₄² → C₂ ⊆ Aut C₅	320		C5:1(C2^3.81C2^3)	320,284
C₅⋊₂(C₂³.₈₁C₂³) = C₁₀.(C₄⋊Q₈)	φ: C₂³.₈₁C₂³/C₂.C₄² → C₂ ⊆ Aut C₅	320		C5:2(C2^3.81C2^3)	320,288
C₅⋊₃(C₂³.₈₁C₂³) = (C₂×C₂₀).₂₈₇D₄	φ: C₂³.₈₁C₂³/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	320		C5:3(C2^3.81C2^3)	320,607
C₅⋊₄(C₂³.₈₁C₂³) = (C₂×C₂₀).₅₃D₄	φ: C₂³.₈₁C₂³/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	320		C5:4(C2^3.81C2^3)	320,610
C₅⋊₅(C₂³.₈₁C₂³) = (C₂×C₂₀).₅₄D₄	φ: C₂³.₈₁C₂³/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	320		C5:5(C2^3.81C2^3)	320,611

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