Lists of rotary and regular maps and hypermaps of small genus

• all orientable regular maps on surfaces of genus 2 to 101, up to isomorphism and duality, with defining relations for their automorphism groups
• all non-orientable regular maps on surfaces of genus 2 to 202, up to isomorphism and duality, with defining relations for their automorphism groups
• all chiral (irreflexible) orientably-regular maps on surfaces of genus 2 to 101, up to isomorphism, duality and reflection, with defining relations for their automorphism groups
• all proper orientable regular hypermaps on surfaces of genus 2 to 101, up to isomorphism and triality, with defining relations for their automorphism groups [WARNING: this is a 4.34MB file!]
• all proper non-orientable regular hypermaps on surfaces of genus 2 to 202, up to isomorphism and triality, with defining relations for their automorphism groups
• all proper chiral orientably-regular hypermaps on surfaces of genus 2 to 101, up to isomorphism, triality and reflection, with defining relations for their automorphism groups
• all quotients of triangle groups that act on compact Riemann surfaces of genus 2 to 101, up to isomorphism, duality/triality and reflection, with defining relators (normal generators for the kernel) [WARNING: this is a 4.0MB file!]
• all trivalent (cubic) symmetric graphs on up to 2048 vertices, up to isomorphism, categorised by their type, and with a link to a 6.1Mb gzipped directory containing all the graphs themselves.

Author

Marston Conder
Department of Mathematics
University of Auckland
Private Bag 92019, Auckland
NEW ZEALAND