Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄.₉C₄²

Direct product G=N×Q with N=C₅ and Q=C₄.₉C₄²

		d	ρ	Label	ID
C₅×C₄.₉C₄²		80	4	C5xC4.9C4^2	320,142

Semidirect products G=N:Q with N=C₅ and Q=C₄.₉C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄.₉C₄²) = C₄²⋊₃F₅	φ: C₄.₉C₄²/C₄² → C₄ ⊆ Aut C₅	80	4	C5:1(C4.9C4^2)	320,201
C₅⋊₂(C₄.₉C₄²) = C₂₀.₂₄C₄²	φ: C₄.₉C₄²/C₂×C₈ → C₄ ⊆ Aut C₅	80	4	C5:2(C4.9C4^2)	320,233
C₅⋊₃(C₄.₉C₄²) = C₄²⋊₁Dic₅	φ: C₄.₉C₄²/C₄²⋊C₂ → C₂ ⊆ Aut C₅	80	4	C5:3(C4.9C4^2)	320,89
C₅⋊₄(C₄.₉C₄²) = C₂³.₉D₂₀	φ: C₄.₉C₄²/C₂×M₄(2) → C₂ ⊆ Aut C₅	80	4	C5:4(C4.9C4^2)	320,115

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