Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈⋊C₄

Direct product G=N×Q with N=C₅ and Q=C₈⋊C₄

		d	ρ	Label	ID
C₅×C₈⋊C₄		160		C5xC8:C4	160,47

Semidirect products G=N:Q with N=C₅ and Q=C₈⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈⋊C₄) = C₈⋊F₅	φ: C₈⋊C₄/C₈ → C₄ ⊆ Aut C₅	40	4	C5:1(C8:C4)	160,67
C₅⋊₂(C₈⋊C₄) = C₁₀.C₄²	φ: C₈⋊C₄/C₂×C₄ → C₄ ⊆ Aut C₅	160		C5:2(C8:C4)	160,77
C₅⋊₃(C₈⋊C₄) = C₄².D₅	φ: C₈⋊C₄/C₄² → C₂ ⊆ Aut C₅	160		C5:3(C8:C4)	160,10
C₅⋊₄(C₈⋊C₄) = C₄₀⋊₈C₄	φ: C₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₅	160		C5:4(C8:C4)	160,22

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