Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂²xC₁₆

Direct product G=NxQ with N=C₅ and Q=C₂²xC₁₆

		d	ρ	Label	ID
C₂²xC₈₀		320		C2^2xC80	320,1003

Semidirect products G=N:Q with N=C₅ and Q=C₂²xC₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₂²xC₁₆) = C₂xD₅:C₁₆	φ: C₂²xC₁₆/C₂xC₈ → C₄ ⊆ Aut C₅	160		C5:1(C2^2xC16)	320,1051
C₅:₂(C₂²xC₁₆) = C₂²xC₅:C₁₆	φ: C₂²xC₁₆/C₂²xC₄ → C₄ ⊆ Aut C₅	320		C5:2(C2^2xC16)	320,1080
C₅:₃(C₂²xC₁₆) = D₅xC₂xC₁₆	φ: C₂²xC₁₆/C₂xC₁₆ → C₂ ⊆ Aut C₅	160		C5:3(C2^2xC16)	320,526
C₅:₄(C₂²xC₁₆) = C₂²xC₅:₂C₁₆	φ: C₂²xC₁₆/C₂²xC₈ → C₂ ⊆ Aut C₅	320		C5:4(C2^2xC16)	320,723

׿

x

:

Z

F

o

wr

Q

<