Lyons group

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In the area of modern algebra known as group theory, the Lyons group Ly or Lyons-Sims group LyS is a sporadic simple group of order

   51,765,179,004,000,000

= 2⁸ · 3⁷ · 5⁶ · 7 · 11 · 31 · 37 · 67

≈ 5×10¹⁶.