How do you create and add a group to a sharepoint site using Sharepoint.client

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SharePoint2013

I have been trying to get this to work all day and its just not wanting to work. I am building a application to add the three default groups to sites in hopes of cleaning up permissions. The code I am about to show you will create the groups but they will not show up when i go to permissions. It just basicly creates the group and thats it.

using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Drawing;
using System.Data;
using System.Linq;
using System.Text;
using System.Windows.Forms;
using Microsoft.SharePoint.Client;


private void CreateMainGroups(string siteurl, string SiteName)
        {
          //method creates a defualt visitor, contributor and full control group for a site.
            // Add a new custom group to the site 
        
            ClientContext context = new ClientContext(siteurl);
        
            Web web = context.Web;
            //See if the groups exist
            context.Load(web.SiteGroups);
            context.ExecuteQuery();
            Group Admin = (from g in web.SiteGroups where g.Title == SiteName + " Owners" select g).SingleOrDefault();
            Group Visitor = (from g in web.SiteGroups where g.Title == SiteName + " Visitors" select g).SingleOrDefault();
            Group Members = (from g in web.SiteGroups where g.Title == SiteName + " Members" select g).SingleOrDefault();

                      
            
            
            if (Admin == null)
            {
                //Create the Admin Group if it dont exist
                GroupCreationInformation groupCreationInfoAdmin = new GroupCreationInformation();
                groupCreationInfoAdmin.Title = SiteName + " Owners";
                groupCreationInfoAdmin.Description = " Use this group to give people full control permissions to the SharePoint site: " + SiteName;
                Admin = web.SiteGroups.Add(groupCreationInfoAdmin);
               
            }
           
            if(Members == null)
            {
            //Create the Contributer Group  if it dont exist
            GroupCreationInformation groupCreationInfoContribut = new GroupCreationInformation();
            groupCreationInfoContribut.Title = SiteName + " Members";
            groupCreationInfoContribut.Description = "Use this group to give people contribute permissions to the SharePoint site: "+ SiteName;
            Members = web.SiteGroups.Add(groupCreationInfoContribut);
           
            }

            if(Visitor == null)
            {
            //Create the Visitor Group  if it dont exist
            GroupCreationInformation groupCreationInfoVisitors = new GroupCreationInformation();
            groupCreationInfoVisitors.Title = SiteName + " Visitors";
            groupCreationInfoVisitors.Description = "Use this group to grant people read permissions to the SharePoint site: " + SiteName;
            Visitor = web.SiteGroups.Add(groupCreationInfoVisitors);
            
            }
           
           
           
            //Assign site roles This is the problem area it's supposed to assign the group to the associated group on the web but it never works. 

            web.AssociatedOwnerGroup = Admin;
            web.AssociatedOwnerGroup.Update();
            Admin.Update();

            web.AssociatedVisitorGroup = Visitor;
            web.AssociatedVisitorGroup.Update();
            Visitor.Update();

            web.AssociatedMemberGroup = Members;
            web.AssociatedMemberGroup.Update();
            Members.Update();

            web.Update();
            
           
            
            context.ExecuteQuery();
          





        }

Am I missing something here? Any help would be appreciated.