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

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

		d	ρ	Label	ID
C₅×C₁₆⋊C₄		80	4	C5xC16:C4	320,152

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₁₆⋊C₄) = C₁₆⋊F₅	φ: C₁₆⋊C₄/C₁₆ → C₄ ⊆ Aut C₅	80	4	C5:1(C16:C4)	320,183
C₅⋊₂(C₁₆⋊C₄) = C₁₆⋊₄F₅	φ: C₁₆⋊C₄/C₁₆ → C₄ ⊆ Aut C₅	80	4	C5:2(C16:C4)	320,184
C₅⋊₃(C₁₆⋊C₄) = C₄².₃F₅	φ: C₁₆⋊C₄/C₄² → C₄ ⊆ Aut C₅	80	4	C5:3(C16:C4)	320,198
C₅⋊₄(C₁₆⋊C₄) = C₂₀.₂₃C₄²	φ: C₁₆⋊C₄/C₂×C₈ → C₄ ⊆ Aut C₅	80	4	C5:4(C16:C4)	320,228
C₅⋊₅(C₁₆⋊C₄) = C₂₀.₄₅C₄²	φ: C₁₆⋊C₄/C₈⋊C₄ → C₂ ⊆ Aut C₅	80	4	C5:5(C16:C4)	320,24
C₅⋊₆(C₁₆⋊C₄) = C₈₀⋊C₄	φ: C₁₆⋊C₄/M₅(2) → C₂ ⊆ Aut C₅	80	4	C5:6(C16:C4)	320,70

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