Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄⋊C₁₆

Direct product G=N×Q with N=C₅ and Q=C₄⋊C₁₆

		d	ρ	Label	ID
C₅×C₄⋊C₁₆		320		C5xC4:C16	320,168

Semidirect products G=N:Q with N=C₅ and Q=C₄⋊C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄⋊C₁₆) = C₂₀⋊C₁₆	φ: C₄⋊C₁₆/C₄² → C₄ ⊆ Aut C₅	320		C5:1(C4:C16)	320,196
C₅⋊₂(C₄⋊C₁₆) = C₁₀.M₅(2)	φ: C₄⋊C₁₆/C₂×C₈ → C₄ ⊆ Aut C₅	320		C5:2(C4:C16)	320,226
C₅⋊₃(C₄⋊C₁₆) = C₂₀⋊₃C₁₆	φ: C₄⋊C₁₆/C₄×C₈ → C₂ ⊆ Aut C₅	320		C5:3(C4:C16)	320,20
C₅⋊₄(C₄⋊C₁₆) = C₄₀.₈₈D₄	φ: C₄⋊C₁₆/C₂×C₁₆ → C₂ ⊆ Aut C₅	320		C5:4(C4:C16)	320,59

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