- 168 (number)
168 is the natural number following 167 and preceding 169.
It is the sum of four consecutive primes (37 + 41 + 43 + 47).
There are 168 primes less than 1000.
168 is the order of the group
PSL(2,7) , the second smallest nonabelian simple group. FromHurwitz's automorphisms theorem we know that 168 is the maximum possible number of automorphisms of a genus 3Riemann surface , this maximum being achieved by theKlein quartic , whose symmetry group is PSL(2,7). The Fano plane has 168 symmetries, and again the symmetry group is PSL(2,7).One hundred sixty-eight is also:
* The year AD 168 or168 BC .
* The number ofhour s in aweek .
* The total number of pips on a standarddomino set.References
* [http://math.ucr.edu/home/baez/week214.html This Week's Finds in Mathematical Physics 214] , John Baez
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