How to display nested lists in a table in vuetify?

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<template>
  <v-data-table
    :headers="headers"
    :items="items"
  >
    <template v-slot:item.children="{ item }">
      <ul>
        <li v-for="child in item.children" :key="child.id">{{ child.name }}</li>
      </ul>
    </template>
  </v-data-table>
</template>

<script>
export default {
  data() {
    return {
      headers: [
        { text: 'ID', value: 'id' },
        { text: 'Name', value: 'name' },
        { text: 'Children', value: 'children', align: 'center' }
      ],
      items: [
        {
          id: 1,
          name: 'Parent 1',
          children: [
            { id: 1, name: 'Child 1' },
            { id: 2, name: 'Child 2' }
          ]
        },
        {
          id: 2,
          name: 'Parent 2',
          children: [
            { id: 1, name: 'Child 1' }
          ]
        }
      ]
    };
  }
};
</script>