The International Cloud Atlas states that there are four types of cirrocumulus clouds, cirrocumulus stratiformis, cirrocumulus lenticularis, cirrocumulus castellanus, and cirrocumulus floccus.

These can come in one of two varieties, cirrocumulus undulatus and cirrocumulus lacunosus.

Stratocumulus clouds can exist independently of their varieties, these don't have a named type, and are simply just their name.

Cirrocumulus stratiformis looks like a blanket of thin, tiny lumps often covering a large part of the sky. This is not a neat blanket, it is often like a bit of hovering white popcorn. They can be smooth, and can be easily mistaken for cirrostratus

Cirrocumulus Lenticularis are defined by rounded edges. These clouds are rounded out and they often appear around mountains, but in theory can appear anywhere. Unlike other lenticularis clouds, these often take oval shapes instead of circular "UFO" like shapes that are associated with the more popular types of lenticular would. 

Cirrocumulus Castellanus is a species that is defined by having very small crenellations on the top. 

Cirrocumulus Floccus is defined by it's pulled wool look. These clouds often have defined tops and tiny tails behind it. They are often made of the leftovers of cirrostratus castellanus but the bottom has dissipated.