Extensions 1→N→G→Q→1 with N=C₅ and Q=Q₈⋊C₄

Direct product G=N×Q with N=C₅ and Q=Q₈⋊C₄

		d	ρ	Label	ID
C₅×Q₈⋊C₄		160		C5xQ8:C4	160,53

Semidirect products G=N:Q with N=C₅ and Q=Q₈⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(Q₈⋊C₄) = Q₈⋊F₅	φ: Q₈⋊C₄/Q₈ → C₄ ⊆ Aut C₅	40	8-	C5:(Q8:C4)	160,84
C₅⋊₂(Q₈⋊C₄) = C₁₀.Q₁₆	φ: Q₈⋊C₄/C₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:2(Q8:C4)	160,17
C₅⋊₃(Q₈⋊C₄) = C₂₀.₄₄D₄	φ: Q₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₅	160		C5:3(Q8:C4)	160,23
C₅⋊₄(Q₈⋊C₄) = Q₈⋊Dic₅	φ: Q₈⋊C₄/C₂×Q₈ → C₂ ⊆ Aut C₅	160		C5:4(Q8:C4)	160,42

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