Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³×C₈

Direct product G=N×Q with N=C₅ and Q=C₂³×C₈

		d	ρ	Label	ID
C₂³×C₄₀		320		C2^3xC40	320,1567

Semidirect products G=N:Q with N=C₅ and Q=C₂³×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³×C₈) = C₂²×D₅⋊C₈	φ: C₂³×C₈/C₂²×C₄ → C₄ ⊆ Aut C₅	160		C5:1(C2^3xC8)	320,1587
C₅⋊₂(C₂³×C₈) = C₂³×C₅⋊C₈	φ: C₂³×C₈/C₂⁴ → C₄ ⊆ Aut C₅	320		C5:2(C2^3xC8)	320,1605
C₅⋊₃(C₂³×C₈) = D₅×C₂²×C₈	φ: C₂³×C₈/C₂²×C₈ → C₂ ⊆ Aut C₅	160		C5:3(C2^3xC8)	320,1408
C₅⋊₄(C₂³×C₈) = C₂³×C₅⋊₂C₈	φ: C₂³×C₈/C₂³×C₄ → C₂ ⊆ Aut C₅	320		C5:4(C2^3xC8)	320,1452

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