Projective Planes of Small Order
Catalogue of all known projective planes of small order, with point-line incidence data and automorphism group generators.
A list of all known projective planes of small order, providing for each plane a text file of point-line incidences and a file of generators of its automorphism group, together with invariants (elementary divisors, automorphism group order, point/line orbit lengths). The main table covers 257 planes of orders 2 through 32, with a companion subpage on the 300,000+ known planes of order 49; completeness of the list is known only for orders up to 10.
References
- R. Mathon and G. Royle, The translation planes of order 49, Designs, Codes and Cryptography 5 (1995), 52-72
- U. Dempwolff and C. Charnes, The translation planes of order 49 and their automorphism groups, Math. of Computation 67 (1998), 1207-1224