Angular フィルターを使用してプレーヤーをチームごとにグループ化し、表示するにはどうすればよいですか?

[{name: 'Gene', team: 'alpha'},
 {name: 'George', team: 'beta'},
 {name: 'Steve', team: 'gamma'},
 {name: 'Paula', team: 'beta'},
 {name: 'Scruath', team: 'gamma'}]

- team alpha
  - Gene
- team beta
  - George
  - Paula
- team gamma
  - Steve
  - Scruath

$scope.players = [
  {name: 'Gene', team: 'alpha'},
  {name: 'George', team: 'beta'},
  {name: 'Steve', team: 'gamma'},
  {name: 'Paula', team: 'beta'},
  {name: 'Scruath', team: 'gamma'}
];

<ul ng-repeat="(key, value) in players | groupBy: 'team'">
  <li>Group name: {{ key }}</li>
  <ul>
    <li ng-repeat="player in value">
      Player: {{ player.name }}
    </li>
  </ul>
</ul>

- Group name: alpha
  - Player: Gene
- Group name: beta
  - Player: George
  - Player: Paula
- Group name: gamma
  - Player: Steve
  - Player: Scruath