The Small Groups library

The Small Groups Library is available as part of the computer algebra systems GAP and Magma. The user manual of the GAP system has a description of the Library: here.

• Hans Ulrich Besche and Bettina Eick and E.A. O'Brien
  A millennium project: constructing Small Groups
  Internat. J. Algebra Comput. 12, 623 - 644 (2002)
  
  
• Heiko Dietrich and Bettina Eick
  Groups of cube-free order
  J. Algebra 292, 122 - 137 (2005)
  
  
• Bettina Eick and E. A. O'Brien
  Enumerating p-groups
  J. Austral. Math. Soc. 67, 191 - 205 (1999)
  
  
• B. Girnat
  Klassifikation der Gruppen bis zur Ordnung p^5
  Staatsexamensarbeit, TU Braunschweig.
  
  
• M. F. Newman, E. A. O'Brien and M. R. Vaughan-Lee
  Groups and nilpotent Lie rings whose order is the sixth power of a prime
  J. Algebra 278, 383 - 401 (2003)
  
  
• E. A. O'Brien and M. R. Vaughan-Lee
  The groups of order p^7 for odd prime p.
  J. Algebra 292, 243 - 258 (2005)