[c#] Associating enums with strings in C#

How about using a static class with constants?

static class GroupTypes
{
  public const string TheGroup = "OEM";
  public const string TheOtherGroup = "CMB";
}

void DoSomething(string groupType)
{
  if(groupType == GroupTypes.TheGroup)
  {
    // Be nice
  }  
  else if (groupType == GroupTypes.TheOtherGroup)
  {
    // Continue to be nice
  }
  else
  {
    // unexpected, throw exception?
  }
}