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Dec 8, 2010 at 12:57 comment added Jim Humphreys I'd just add that there are infinitely many known infinite families of simple groups of Lie type, indexed by prime powers and having explicit order formulas. Each such family yields an infinite sequence of group orders; not random, but not easily analyzed for patterns. Moreover, the question asked has (as far as I can see) no connection with the finite group theory. It's not a nonsensical question but seems almost impossibly difficult to answer one way or the other.
Dec 8, 2010 at 11:39 history answered Sheikraisinrollbank CC BY-SA 2.5