In Śvetāmbara Murtipujaka Jainism, there are four main active Gacchas today:
- Tapagaccha
- Kharatara Gaccha
- Parshvachandra (Parsva/chandra) Gaccha
- Achal Gaccha (also known as Anchala Gaccha)
There used to be many more Gacchas in history (traditionally said to be as many as 84), but most have become extinct or very small now. A note on current four Gacchas and their leadership is discussed in recent Jain Knowledge discussions. You can read more here and here .
If you want a quick comparison between some of these Gacchas (origin, leadership, and practices), there are concise explanations available on Jain Knowledge as well. You can read more here .