🚀 go-pugleaf

In his article of 14-Sep-92 Jack McKinney writes:

         I am looking for a reference that contains a list of all the groups
    of all orders up to a given limit [i.e., a book can only be so large.]

The computer system GAP contains a collection of all solvable  groups  of
size up to 100.  The groups are represented by so called power-commutator
presentations.  This is  the reason why  we  didn't include A(5) for  the
collection of  *all* groups of size up to 100; A(5) cannot be represented
this way.  GAP is able to compute, among many other things, the character
tables of these groups in a moderate amount of time.

More information  about  GAP can be obtained by  getting 'pub/gap/README'
via anonymous 'ftp' to 'samson.math.rwth-aachen.de' (137.226.152.6).

The collection is a compilation of the data in

    Marshall Hall, Jr. and James K. Senior
    The Groups of Order 2^n (n <= 6)
    The Macmillan Company, New York, 1964
        [the groups of size 64]

    Reinhard Laue
    Zur Konstruktion und Klassifikation endlicher aufl"osbarer Gruppen
    vol. 9 of Bayreuther Mathematische Schriften, Uni. Bayreuth, 1982
        [the groups of size 96]

    Joachim Neub"user
    Die Untergruppenverb"ande der Gruppen der Ordnungen <= 100
     mit Ausnahme der Ordnungen 64 und 96
    Habilitationsschrift, Uni. Kiel, 1967
        [other sizes]

Martin.

--
Martin Sch"onert,   Martin.Schoenert@Math.RWTH-Aachen.DE,  +49 241 804551
Lehrstuhl D f"ur Mathematik, Templergraben 64, RWTH, D 51 Aachen, Germany