title: How do you use GAP to identify a group?
body: <p>How do you use GAP to identify the name of a group from its multiplication table? I know that you can define a group from a set of generators, and then look for the group in the set of internal tables:</p>
  
  <pre class="lang-gap prettyprint-override"><code>gap&gt; g := Group([ (1,2), (1,2,3,4,5) ]);    
  Group([ (1,2), (1,2,3,4,5) ])
  
  gap&gt; IdGroup(g);                            
  [ 120, 34 ]
  </code></pre>
  <p>But how do find out the name of the group <code>[120, 34]</code>?</p>