Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₄²

Direct product G=N×Q with N=C₅ and Q=C₂×C₄²

		d	ρ	Label	ID
C₂×C₄×C₂₀		160		C2xC4xC20	160,175

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂×C₄²) = C₂×C₄×F₅	φ: C₂×C₄²/C₂×C₄ → C₄ ⊆ Aut C₅	40		C5:(C2xC4^2)	160,203
C₅⋊₂(C₂×C₄²) = D₅×C₄²	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₅	80		C5:2(C2xC4^2)	160,92
C₅⋊₃(C₂×C₄²) = C₂×C₄×Dic₅	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₅	160		C5:3(C2xC4^2)	160,143

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