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

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

		d	ρ	Label	ID
C₅×C₄.C₄²		160		C5xC4.C4^2	320,146

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄.C₄²) = C₂₀.₁₀C₄²	φ: C₄.C₄²/C₂×C₈ → C₄ ⊆ Aut C₅	160		C5:1(C4.C4^2)	320,234
C₅⋊₂(C₄.C₄²) = M₄(2).F₅	φ: C₄.C₄²/M₄(2) → C₄ ⊆ Aut C₅	80	8	C5:2(C4.C4^2)	320,239
C₅⋊₃(C₄.C₄²) = C₂₀.₄₀C₄²	φ: C₄.C₄²/C₂²×C₈ → C₂ ⊆ Aut C₅	160		C5:3(C4.C4^2)	320,110
C₅⋊₄(C₄.C₄²) = C₂₀.₃₄C₄²	φ: C₄.C₄²/C₂×M₄(2) → C₂ ⊆ Aut C₅	160		C5:4(C4.C4^2)	320,116

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