Show component IMEs before 3rd party extension IMEs in language settings.

chrome/browser/resources/options/language_options.js

Index: chrome/browser/resources/options/language_options.js
diff --git a/chrome/browser/resources/options/language_options.js b/chrome/browser/resources/options/language_options.js
index 7956e85ab74770a6306bfd4e1f677eb8de494e52..9ab66bf8d28c61ad51d22c6668bfd9241de5b865 100644
--- a/chrome/browser/resources/options/language_options.js
+++ b/chrome/browser/resources/options/language_options.js
@@ -274,9 +274,9 @@ cr.define('options', function() {
       // on the selected language. Note that we only have less than 100
       // input methods, so creating DOM nodes at once here should be ok.
       this.appendInputMethodElement_(loadTimeData.getValue('inputMethodList'));
-      this.appendInputMethodElement_(loadTimeData.getValue('extensionImeList'));
       this.appendComponentExtensionIme_(
           loadTimeData.getValue('componentExtensionImeList'));
+      this.appendInputMethodElement_(loadTimeData.getValue('extensionImeList'));
 
       // Listen to pref change once the input method list is initialized.
       Preferences.getInstance().addEventListener(