1. The problem statement, all variables and given/known data a) Classify all groups of order 51. b) Classify all groups of order 39. 2. Relevant equations Sylow theorems. 3. The attempt at a solution a) C51 b) Z3 X Z13 and Z13 x Z3, the semi-direct product with presentation <a,b|a13=b3=1, ab=a3 > Are these all of the groups? Am I missing any? Do you think these are sufficient answers? Thank you!