There is a whole branch of chemistry that is devoted to the compounds that contain Carbon. There are millions of members in this element's family. The simplest ones are the alkanes which are just long chains of carbon. There's nothing special about their structure except that the carbons are all connected by a single link. There are many common alkanes like gasoline, methane (for heating), butane (for heating and cigarette lighters) propane (heating) and many others including some waxes that are solids which have very long chains.
H H H H
H- C - C - C - C H
H H H H
This is what butane would look like if you could see it.
The field of study is organic chemistry.