Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂≀C₄

Direct product G=N×Q with N=C₅ and Q=C₂≀C₄

		d	ρ	Label	ID
C₅×C₂≀C₄		40	4	C5xC2wrC4	320,156

Semidirect products G=N:Q with N=C₅ and Q=C₂≀C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁C₂≀C₄ = C₅⋊C₂≀C₄	φ: C₂≀C₄/C₂²⋊C₄ → C₄ ⊆ Aut C₅	40	8+	C5:1C2wrC4	320,202
C₅⋊₂C₂≀C₄ = C₂⁴⋊₂F₅	φ: C₂≀C₄/C₂⁴ → C₄ ⊆ Aut C₅	40	4	C5:2C2wrC4	320,272
C₅⋊₃C₂≀C₄ = C₅⋊₃C₂≀C₄	φ: C₂≀C₄/C₂³⋊C₄ → C₂ ⊆ Aut C₅	40	8+	C5:3C2wrC4	320,29
C₅⋊₄C₂≀C₄ = C₂³.₃D₂₀	φ: C₂≀C₄/C₄.D₄ → C₂ ⊆ Aut C₅	40	8+	C5:4C2wrC4	320,33
C₅⋊₅C₂≀C₄ = C₂⁴⋊₂Dic₅	φ: C₂≀C₄/C₂²≀C₂ → C₂ ⊆ Aut C₅	40	4	C5:5C2wrC4	320,94

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