ABSTRACT

It seems silly to have enumerated so many different kinds of geometrical groups without enumerating abstract groups in their own right. We now rectify this omission.

Hans Ulrich Besche, Bettina Eick, and Eamonn O’Brien have celebrated the completion of the second millenium by publishing a paper [1] that gives the number of groups of each order up to 2000. The table that forms the appendix to this chapter, taken from their paper with their help and permission, extends this to 2009 so as to contain the publication date of this book.