The Monster Group is the largest "sporadic simple group" with order: 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000
I read that if you compactify 26D bosonic string theory on the 24D torus given by the Leech Lattice, then you end up with a vertex algebra with Monster Group symmetry.
I also read that heterotic string theoy is a combination of 26D string theory and 10D superstring theory for left/right modes.
But then I also read we might be living on a 3-brane in a higher dimensional bulk space.
So if this bulk space was on a 24D torus (a very large one, so large we couldn't tell),
then would this mean that the Universe did have Monster symmetry?
I think the Monster group is a really interesting object and it would be cool if this was a symmetry of the Universe. But I don't really know enough about these things.