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
C₅×C₂³.C₈		80	4	C5xC2^3.C8	320,154

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) = C₂₀.₁₀M₄(2)	φ: C₂³.C₈/C₂×C₈ → C₄ ⊆ Aut C₅	80	4	C5:1(C2^3.C8)	320,229
C₅⋊₂(C₂³.C₈) = C₂₀.₂₉M₄(2)	φ: C₂³.C₈/C₂²×C₄ → C₄ ⊆ Aut C₅	80	4	C5:2(C2^3.C8)	320,250
C₅⋊₃(C₂³.C₈) = C₈.₂₅D₂₀	φ: C₂³.C₈/M₅(2) → C₂ ⊆ Aut C₅	80	4	C5:3(C2^3.C8)	320,72
C₅⋊₄(C₂³.C₈) = C₄₀.D₄	φ: C₂³.C₈/C₂×M₄(2) → C₂ ⊆ Aut C₅	80	4	C5:4(C2^3.C8)	320,111

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