diff --git a/app/controllers/organisations_controller.rb b/app/controllers/organisations_controller.rb
index a45b4a66f..ff64c6136 100644
--- a/app/controllers/organisations_controller.rb
+++ b/app/controllers/organisations_controller.rb
@@ -23,7 +23,7 @@ class OrganisationsController < ApplicationController
   def schemes
     all_schemes = Scheme.where(owning_organisation: [@organisation] + @organisation.parent_organisations)
 
-    @pagy, @schemes = pagy(filter_manager.filtered_schemes(all_schemes, search_term, session_filters).order_by_completion.order_by_service_name)
+    @pagy, @schemes = pagy(filter_manager.filtered_schemes(all_schemes, search_term, session_filters).order_by_service_name)
     @searched = search_term.presence
     @total_count = all_schemes.size
     @filter_type = "schemes"
diff --git a/app/controllers/schemes_controller.rb b/app/controllers/schemes_controller.rb
index 3b1c5dc8a..8cf824af9 100644
--- a/app/controllers/schemes_controller.rb
+++ b/app/controllers/schemes_controller.rb
@@ -15,7 +15,7 @@ class SchemesController < ApplicationController
     redirect_to schemes_organisation_path(current_user.organisation) unless current_user.support?
     all_schemes = Scheme.all
 
-    @pagy, @schemes = pagy(filter_manager.filtered_schemes(all_schemes, search_term, session_filters).order_by_completion.order_by_service_name)
+    @pagy, @schemes = pagy(filter_manager.filtered_schemes(all_schemes, search_term, session_filters).order_by_service_name)
     @searched = search_term.presence
     @total_count = all_schemes.size
     @filter_type = "schemes"
diff --git a/app/frontend/styles/_table-group.scss b/app/frontend/styles/_table-group.scss
index c5ca328f3..03ba07d2b 100644
--- a/app/frontend/styles/_table-group.scss
+++ b/app/frontend/styles/_table-group.scss
@@ -9,11 +9,6 @@
     margin-bottom: -1px;
   }
 
-  .govuk-table__header,
-  .govuk-table__cell {
-    white-space: nowrap;
-  }
-
   &::-webkit-scrollbar {
     height: govuk-spacing(1);
     width: govuk-spacing(1);
@@ -28,6 +23,10 @@
   }
 }
 
+.scheme-name-cell {
+  word-break: break-all;
+}
+
 .app-table-group:focus {
   box-shadow: 0 0 0 #{$govuk-focus-width * 2} $govuk-focus-colour;
   outline: $govuk-focus-width solid govuk-colour("black");
diff --git a/app/models/scheme.rb b/app/models/scheme.rb
index 19a6491fd..63632b55f 100644
--- a/app/models/scheme.rb
+++ b/app/models/scheme.rb
@@ -8,17 +8,18 @@ class Scheme < ApplicationRecord
 
   scope :filter_by_id, ->(id) { where(id: (id.start_with?("S") ? id[1..] : id)) }
   scope :search_by_service_name, ->(name) { where("service_name ILIKE ?", "%#{name}%") }
-  scope :search_by_postcode, ->(postcode) { left_joins(:locations).where("REPLACE(locations.postcode, ' ', '') ILIKE ?", "%#{postcode.delete(' ')}%") }
-  scope :search_by_location_name, ->(name) { left_joins(:locations).where("locations.name ILIKE ?", "%#{name}%") }
+  scope :search_by_postcode, ->(postcode) { where("schemes.id IN (SELECT DISTINCT scheme_id FROM locations WHERE REPLACE(locations.postcode, ' ', '') ILIKE ?)", "%#{postcode.delete(' ')}%") }
+  scope :search_by_location_name, ->(name) { where("schemes.id IN (SELECT DISTINCT scheme_id FROM locations WHERE locations.name ILIKE ?)", "%#{name}%") }
   scope :search_by, lambda { |param|
                       search_by_postcode(param)
                         .or(search_by_service_name(param))
                         .or(search_by_location_name(param))
-                        .or(filter_by_id(param)).distinct
+                        .or(filter_by_id(param))
                     }
 
-  scope :order_by_completion, -> { order("schemes.confirmed ASC NULLS FIRST") }
-  scope :order_by_service_name, -> { order(service_name: :asc) }
+  scope :order_by_service_name, lambda {
+    order("lower(service_name) ASC")
+  }
   scope :filter_by_owning_organisation, ->(owning_organisation, _user = nil) { where(owning_organisation:) }
   scope :filter_by_status, lambda { |statuses, _user = nil|
     filtered_records = all
diff --git a/app/views/organisations/schemes.html.erb b/app/views/organisations/schemes.html.erb
index 20fc40886..37bc7ba44 100644
--- a/app/views/organisations/schemes.html.erb
+++ b/app/views/organisations/schemes.html.erb
@@ -23,7 +23,7 @@
   ) %>
   <%= render partial: "schemes/scheme_filters" %>
   <div class="app-filter-layout__content">
-    <%= render SearchComponent.new(current_user:, search_label: "Search by scheme name, code, postcode or location name", value: @searched) %>
+    <%= render SearchComponent.new(current_user:, search_label: "Search by postcode, scheme name, scheme code or location name", value: @searched) %>
 
     <hr class="govuk-section-break govuk-section-break--visible govuk-section-break--m">
 
diff --git a/app/views/schemes/_scheme_list.html.erb b/app/views/schemes/_scheme_list.html.erb
index 43e03cd65..eefa10589 100644
--- a/app/views/schemes/_scheme_list.html.erb
+++ b/app/views/schemes/_scheme_list.html.erb
@@ -5,8 +5,9 @@
       <% end %>
     <%= table.head do |head| %>
       <%= head.row do |row| %>
-        <% row.cell(header: true, text: "Scheme", html_attributes: { scope: "col" }) %>
-        <% row.cell(header: true, text: "Code", html_attributes: { scope: "col" }) %>
+        <% row.cell(header: true, text: "Scheme", html_attributes: { scope: "col", class: "govuk-!-width-one-quarter" }) %>
+        <% row.cell(header: true, text: "Stock owner", html_attributes: { scope: "col" }) %>
+        <% row.cell(header: true, text: "Scheme code", html_attributes: { scope: "col" }) %>
         <% row.cell(header: true, text: "Locations", html_attributes: { scope: "col" }) %>
         <% row.cell(header: true, text: "Status", html_attributes: { scope: "col" }) %>
       <% end %>
@@ -14,7 +15,8 @@
     <% @schemes.each do |scheme| %>
       <%= table.body do |body| %>
         <%= body.row do |row| %>
-          <% row.cell(text: simple_format(scheme_cell(scheme), { class: "govuk-!-font-weight-bold" }, wrapper_tag: "div")) %>
+          <% row.cell(text: simple_format(scheme_cell(scheme), { class: "govuk-!-font-weight-bold scheme-name-cell" }, wrapper_tag: "div")) %>
+          <% row.cell(text: scheme.owning_organisation&.name) %>
           <% row.cell(text: scheme.id_to_display) %>
           <% row.cell(text: scheme.locations&.count) %>
           <% row.cell(text: status_tag_from_resource(scheme)) %>
diff --git a/app/views/schemes/index.html.erb b/app/views/schemes/index.html.erb
index a1c2041ff..4f3218e7a 100644
--- a/app/views/schemes/index.html.erb
+++ b/app/views/schemes/index.html.erb
@@ -11,7 +11,7 @@
 <div class="app-filter-layout" data-controller="filter-layout">
   <%= render partial: "schemes/scheme_filters" %>
   <div class="app-filter-layout__content">
-    <%= render SearchComponent.new(current_user:, search_label: "Search by scheme name, code, postcode or location name", value: @searched) %>
+    <%= render SearchComponent.new(current_user:, search_label: "Search by postcode, scheme name, scheme code or location name", value: @searched) %>
 
     <hr class="govuk-section-break govuk-section-break--visible govuk-section-break--m">
 
diff --git a/spec/features/schemes_spec.rb b/spec/features/schemes_spec.rb
index 569a7af03..b293171d6 100644
--- a/spec/features/schemes_spec.rb
+++ b/spec/features/schemes_spec.rb
@@ -34,7 +34,7 @@ RSpec.describe "Schemes scheme Features" do
         context "when I search for a specific scheme" do
           it "there is a search bar with a message and search button for schemes" do
             expect(page).to have_field("search")
-            expect(page).to have_content("Search by scheme name, code, postcode or location name")
+            expect(page).to have_content("Search by postcode, scheme name, scheme code or location name")
             expect(page).to have_button("Search")
           end
 
@@ -142,7 +142,7 @@ RSpec.describe "Schemes scheme Features" do
 
       it "displays a search bar" do
         expect(page).to have_field("search")
-        expect(page).to have_content("Search by scheme name, code, postcode or location name")
+        expect(page).to have_content("Search by postcode, scheme name, scheme code or location name")
         expect(page).to have_button("Search")
       end
 
diff --git a/spec/requests/organisations_controller_spec.rb b/spec/requests/organisations_controller_spec.rb
index 91eb591e7..f4b802f2e 100644
--- a/spec/requests/organisations_controller_spec.rb
+++ b/spec/requests/organisations_controller_spec.rb
@@ -123,15 +123,21 @@ RSpec.describe OrganisationsController, type: :request do
           end
         end
 
-        it "shows incomplete schemes at the top" do
-          schemes[0].update!(confirmed: nil, owning_organisation: user.organisation)
-          schemes[2].update!(confirmed: false, owning_organisation: user.organisation)
-          schemes[4].update!(confirmed: false, owning_organisation: user.organisation)
+        it "shows schemes in alpabetical order" do
+          schemes[0].update!(service_name: "aaa", owning_organisation: user.organisation)
+          schemes[1].update!(service_name: "daa", owning_organisation: user.organisation)
+          schemes[2].update!(service_name: "baa", owning_organisation: user.organisation)
+          schemes[3].update!(service_name: "Faa", owning_organisation: user.organisation)
+          schemes[4].update!(service_name: "Caa", owning_organisation: user.organisation)
           get "/organisations/#{organisation.id}/schemes", headers:, params: {}
-
-          expect(page.all(".govuk-tag")[1].text).to eq("Incomplete")
-          expect(page.all(".govuk-tag")[2].text).to eq("Incomplete")
-          expect(page.all(".govuk-tag")[3].text).to eq("Incomplete")
+          all_links = page.all(".govuk-link")
+          scheme_links = all_links.select { |link| link[:href] =~ %r{^/schemes/\d+$} }
+
+          expect(scheme_links[0][:href]).to eq("/schemes/#{schemes[0].id}")
+          expect(scheme_links[1][:href]).to eq("/schemes/#{schemes[2].id}")
+          expect(scheme_links[2][:href]).to eq("/schemes/#{schemes[4].id}")
+          expect(scheme_links[3][:href]).to eq("/schemes/#{schemes[1].id}")
+          expect(scheme_links[4][:href]).to eq("/schemes/#{schemes[3].id}")
         end
 
         context "with schemes that are not in scope for the user, i.e. that they do not belong to" do
diff --git a/spec/requests/schemes_controller_spec.rb b/spec/requests/schemes_controller_spec.rb
index 9579fb2a4..61fcd207d 100644
--- a/spec/requests/schemes_controller_spec.rb
+++ b/spec/requests/schemes_controller_spec.rb
@@ -201,15 +201,21 @@ RSpec.describe SchemesController, type: :request do
         assert_select ".govuk-tag", text: /Incomplete/, count: 1
       end
 
-      it "shows incomplete schemes at the top" do
-        schemes[0].update!(confirmed: nil)
-        schemes[2].update!(confirmed: false)
-        schemes[4].update!(confirmed: false)
-        get "/schemes"
-
-        expect(page.all(".govuk-tag")[1].text).to eq("Incomplete")
-        expect(page.all(".govuk-tag")[2].text).to eq("Incomplete")
-        expect(page.all(".govuk-tag")[3].text).to eq("Incomplete")
+      it "shows schemes in alpabetical order" do
+        schemes[0].update!(service_name: "aaa")
+        schemes[1].update!(service_name: "daa")
+        schemes[2].update!(service_name: "baa")
+        schemes[3].update!(service_name: "Faa")
+        schemes[4].update!(service_name: "Caa")
+        get "/schemes", headers:, params: {}
+        all_links = page.all(".govuk-link")
+        scheme_links = all_links.select { |link| link[:href] =~ %r{^/schemes/\d+$} }
+
+        expect(scheme_links[0][:href]).to eq("/schemes/#{schemes[0].id}")
+        expect(scheme_links[1][:href]).to eq("/schemes/#{schemes[2].id}")
+        expect(scheme_links[2][:href]).to eq("/schemes/#{schemes[4].id}")
+        expect(scheme_links[3][:href]).to eq("/schemes/#{schemes[1].id}")
+        expect(scheme_links[4][:href]).to eq("/schemes/#{schemes[3].id}")
       end
 
       it "displays a link to check answers page if the scheme is incomplete" do