Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄×C₃⋊C₈

Direct product G=N×Q with N=C₅ and Q=C₄×C₃⋊C₈

		d	ρ	Label	ID
C₂₀×C₃⋊C₈		480		C20xC3:C8	480,121

Semidirect products G=N:Q with N=C₅ and Q=C₄×C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄×C₃⋊C₈) = F₅×C₃⋊C₈	φ: C₄×C₃⋊C₈/C₃⋊C₈ → C₄ ⊆ Aut C₅	120	8	C5:1(C4xC3:C8)	480,223
C₅⋊₂(C₄×C₃⋊C₈) = C₄×C₁₅⋊C₈	φ: C₄×C₃⋊C₈/C₂×C₁₂ → C₄ ⊆ Aut C₅	480		C5:2(C4xC3:C8)	480,305
C₅⋊₃(C₄×C₃⋊C₈) = Dic₅×C₃⋊C₈	φ: C₄×C₃⋊C₈/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₅	480		C5:3(C4xC3:C8)	480,25
C₅⋊₄(C₄×C₃⋊C₈) = C₄×C₁₅⋊₃C₈	φ: C₄×C₃⋊C₈/C₄×C₁₂ → C₂ ⊆ Aut C₅	480		C5:4(C4xC3:C8)	480,162

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