Extensions 1→N→G→Q→1 with N=C₅ and Q=C₁₆⋊₅C₄

Direct product G=N×Q with N=C₅ and Q=C₁₆⋊₅C₄

		d	ρ	Label	ID
C₅×C₁₆⋊₅C₄		320		C5xC16:5C4	320,151

Semidirect products G=N:Q with N=C₅ and Q=C₁₆⋊₅C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₁₆⋊₅C₄) = C₁₆⋊₇F₅	φ: C₁₆⋊₅C₄/C₁₆ → C₄ ⊆ Aut C₅	80	4	C5:1(C16:5C4)	320,182
C₅⋊₂(C₁₆⋊₅C₄) = C₄².₄F₅	φ: C₁₆⋊₅C₄/C₄² → C₄ ⊆ Aut C₅	320		C5:2(C16:5C4)	320,197
C₅⋊₃(C₁₆⋊₅C₄) = C₄₀.C₈	φ: C₁₆⋊₅C₄/C₂×C₈ → C₄ ⊆ Aut C₅	320		C5:3(C16:5C4)	320,224
C₅⋊₄(C₁₆⋊₅C₄) = C₄₀.₁₀C₈	φ: C₁₆⋊₅C₄/C₄×C₈ → C₂ ⊆ Aut C₅	320		C5:4(C16:5C4)	320,19
C₅⋊₅(C₁₆⋊₅C₄) = C₈₀⋊₁₇C₄	φ: C₁₆⋊₅C₄/C₂×C₁₆ → C₂ ⊆ Aut C₅	320		C5:5(C16:5C4)	320,60

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