Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄xQ₈

Direct product G=NxQ with N=C₅ and Q=C₄xQ₈

		d	ρ	Label	ID
Q₈xC₂₀		160		Q8xC20	160,180

Semidirect products G=N:Q with N=C₅ and Q=C₄xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:(C₄xQ₈) = Q₈xF₅	φ: C₄xQ₈/Q₈ → C₄ ⊆ Aut C₅	40	8-	C5:(C4xQ8)	160,209
C₅:₂(C₄xQ₈) = C₄xDic₁₀	φ: C₄xQ₈/C₄² → C₂ ⊆ Aut C₅	160		C5:2(C4xQ8)	160,89
C₅:₃(C₄xQ₈) = Dic₅:₃Q₈	φ: C₄xQ₈/C₄:C₄ → C₂ ⊆ Aut C₅	160		C5:3(C4xQ8)	160,108
C₅:₄(C₄xQ₈) = Q₈xDic₅	φ: C₄xQ₈/C₂xQ₈ → C₂ ⊆ Aut C₅	160		C5:4(C4xQ8)	160,166

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