What are the types of aqueous solutions based on the electrolytic properties or electric conductivity? What form or type of particles do strong electrolytes, weak electrolytes, and non-electrolytes contain?

Your question is so general that I could write a book. Rather than do that I searched for and found a good discussion of electrolytes in general. I encourage you read all of this document. If you have further question after you finish digesting this material, don't hesitate to follow up on Jiskha.

https://chem.libretexts.org/Bookshelves/Inorganic_Chemistry/Modules_and_Websites_(Inorganic_Chemistry)/Chemical_Reactions/Chemical_Reactions_Examples/Electrolytes