Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄oD₈

Direct product G=NxQ with N=C₅ and Q=C₄oD₈

		d	ρ	Label	ID
C₅xC₄oD₈		80	2	C5xC4oD8	160,196

Semidirect products G=N:Q with N=C₅ and Q=C₄oD₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₄oD₈) = D₄₀:₇C₂	φ: C₄oD₈/C₂xC₈ → C₂ ⊆ Aut C₅	80	2	C5:1(C4oD8)	160,125
C₅:₂(C₄oD₈) = D₈:₃D₅	φ: C₄oD₈/D₈ → C₂ ⊆ Aut C₅	80	4-	C5:2(C4oD8)	160,133
C₅:₃(C₄oD₈) = SD₁₆:₃D₅	φ: C₄oD₈/SD₁₆ → C₂ ⊆ Aut C₅	80	4	C5:3(C4oD8)	160,137
C₅:₄(C₄oD₈) = Q₈.D₁₀	φ: C₄oD₈/Q₁₆ → C₂ ⊆ Aut C₅	80	4+	C5:4(C4oD8)	160,140
C₅:₅(C₄oD₈) = D₄.₈D₁₀	φ: C₄oD₈/C₄oD₄ → C₂ ⊆ Aut C₅	80	4	C5:5(C4oD8)	160,171

׿

x

:

Z

F

o

wr

Q

<