Extensions 1→N→G→Q→1 with N=C₅ and Q=C₁₆⋊₃C₄

Direct product G=N×Q with N=C₅ and Q=C₁₆⋊₃C₄

		d	ρ	Label	ID
C₅×C₁₆⋊₃C₄		320		C5xC16:3C4	320,171

Semidirect products G=N:Q with N=C₅ and Q=C₁₆⋊₃C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₁₆⋊₃C₄) = C₈₀⋊₂C₄	φ: C₁₆⋊₃C₄/C₁₆ → C₄ ⊆ Aut C₅	80	4	C5:(C16:3C4)	320,187
C₅⋊₂(C₁₆⋊₃C₄) = C₄₀.₂Q₈	φ: C₁₆⋊₃C₄/C₂.D₈ → C₂ ⊆ Aut C₅	320		C5:2(C16:3C4)	320,47
C₅⋊₃(C₁₆⋊₃C₄) = C₈₀⋊₁₃C₄	φ: C₁₆⋊₃C₄/C₂×C₁₆ → C₂ ⊆ Aut C₅	320		C5:3(C16:3C4)	320,62

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