Currently the database contains all groups G acting as automorphisms of curves X from genus 2 up to genus 15 so that the quotient space X/G is the Riemann sphere (X/G has genus 0). There are 31770 distinct refined passports in the database. The number of distinct generating vectors is 334,886.

## 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.