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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. 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.

Find specific automorphisms of higher genus curves

Search by label family or passport label, e.g. 2.12-4.0.2-2-2-3 or 3.168-42.0.2-3-7.2

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