The table contains the following data for each of the 45
nonabelian groups G of order at most 30:
   - the order |G| and, where appropriate, name of G.
  
- a 3-presentation <x|r|s> for
G. It is given using the convention that
    
      -  the first generator in x is denoted by x,
the second generator is denoted by y, the third generator (if
exists) is denoted by z; 
-  the first relator in r is denoted by a,
the second relator is denoted by b, the third by c
and so on. 
 
-  the rank dim  of the free abelian group underling the module of
identities of the free abelian group underling the module of
identities = = 2K(x,
    r). 2K(x,
    r).
-  a set v of elements in  r
    ZG that generates a ZG-submodule r
    ZG that generates a ZG-submodule ' isomorphic to the ZG-module ' isomorphic to the ZG-module . .
-  the integral homology group Hn(G)=Hn(G,Z)
for n=1,2,3. 
How to use the table?
The main table