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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 31,789 distinct refined passports in the database. The number of distinct generating vectors is 335,012. Here are some further statistics.

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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

Some interesting families or a random refined passport

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e.g. 2.12-4.0.2-2-2-3 or 3.168-42.0.2-3-7.2