Difference:
The biological process of sexual reproduction requires the input of genetic material from many people. When a flower self-pollinates, for example, the term "individual" might refer to gamete cells developing as a single physical or even genetic organism. I don't want to substitute the word "cell" for "person," either, as that would eliminate instances of acellular biologic entities that reproduce, like viruses. When a piece of a chromosome from one bacterium is injected into another, it recombines and reproduces there, with or without sporulation, which is one instance of what I consider sexual reproduction but which not all viewers would. My notion just requires some genetic material, even in the form of an episome, not gametes. Asexual phases are included in nearly all forms of reproduction, but I regard all of them to be a part of sexual reproduction when they take place throughout a life cycle that also contains an obligatory sexual phase. Brewer's yeast serves as an illustration of the distinction I make because either the diploid or haploid stage, which could be classified as a gametophyte or sporophyte, can be maintained through an infinite number of mitoses. As a result, I consider vegetative propagation to be asexual reproduction.
Now that you have the difference compare the similarties.