Currently the database contains all groups $G$ acting as automorphisms of curves $X/\C$ of genus 2 to 15 such that $X/G$ has genus 0, as well as genus 2 through 4 with quotient genus greater than 0. There are 31768 distinct refined passports in the database. The number of distinct generating vectors is 334866. Here are some further statistics.

## Browse automorphisms of higher genus curves

By genus: 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Hyperelliptic curves: by genus: 2 3 4 5 6 7 8 9 10 11 12 13 14 15

A random refined passport from the database.