Here is the simple, current overview of the main Śvetāmbara gachchhādhipatis (heads of the major gacchas). Note that the title and person can change over time, and Digambara tradition doesn’t use this gaccha system in the same way.

• Tapa Gaccha — Acharya Shri Vijay Nityanand Surishwarji Maharaj Saheb.
• Kharatara Gaccha — Acharya Shri Jinchandra Suri Maharaj Saheb.
• Tristutik Gaccha — commonly cited: Acharya Shri Mahendrasuri Maharaj Saheb (some branches cite Acharya Shri Rajyashsurishwarji).
• Vimal Gaccha — Acharya Shri Vimalsuri Maharaj Saheb.
• Anchala Gaccha — Acharya Shri Anand Suri Maharaj Saheb.
• Patan Gaccha — Acharya Shri Pramod Suri Maharaj Saheb.
• Parshvacandra Gaccha — Acharya Shri Chandrasuri Maharaj Saheb.

You can read more about these heads here