Let $C$ be a category. Then the following implications on variants for monos hold:
Iso $\implies$ SplitMono $\implies$ RegMono $\implies$ StrongMono $\implies$ ExtMono $\implies$ Mono,
And dually for Epi.
I have a good grasp of what Iso, SplitMono, RegMono and Mono are. I think of Iso as "essentially equal", SplitMono as a "subobject whose complement can be retracted", RegMono as a "subobject which can be equalized by 2 arrows", and Mono as just a "subobject".
Are there similar characterizations of the other monos, i.e., simple statements of the form such as "Strong Mono is a subobject such that ~"?