so this was a recent question I've been asked for homework. "Classify all groups of order $1225$". That's all the question says. How in the world do I approach this?? We have the symmetric group of order $1225$, cyclic group of order $\,1225 = 5*5*7*7\,$ and so we have that as a group.. but the list just seems so big. How do we classify all groups of this order, it's huge! We had a similar question on groups of order $8$ the other week and it wasn't easy..
Thanks for any help guys!