I have studied simple groups of order $60$ and $168$. Specifically, I learned two things below:

  1. All simple group of order $60$ are isomorphic to each other.

  2. All simple group of order $168$ are isomorphic to each other.

Natural question arises from these facts. For a given order, are simple groups isomorphic? Thank you in advance.

marked as duplicate by Chris Culter, Eric Wofsey, Milo Brandt, Noah Schweber, choco_addicted May 30 '16 at 2:05

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