diff --git a/terminatorlib/titlebar.py b/terminatorlib/titlebar.py
index 7f2e23fb..9150f9b0 100755
--- a/terminatorlib/titlebar.py
+++ b/terminatorlib/titlebar.py
@@ -5,6 +5,7 @@
 
 import gtk
 import gobject
+import random
 
 from version import APP_NAME
 from util import dbg
@@ -233,6 +234,15 @@ class Titlebar(gtk.EventBox):
 
     def create_group(self):
         """Create a new group"""
+        defaultgroups=set(['Alpha','Beta','Gamma','Delta','Epsilon','Zeta','Eta',
+                           'Theta','Iota','Kappa','Lambda','Mu','Nu','Xi',
+                           'Omnicron','Pi','Rho','Sigma','Tau','Upsilon','Phi',
+                           'Chi','Psi','Omega'])
+        currentgroups=set(self.terminator.groups)
+        freegroups = list(defaultgroups-currentgroups)
+        random.shuffle(freegroups)
+        if self.groupentry.get_text()=='' and freegroups:
+            self.groupentry.set_text(freegroups.pop())
         self.groupentry.show()
         self.groupentry.grab_focus()
         self.update_visibility()