Introduction:
A Trie (also known as a prefix tree) is a tree-like data structure used for efficient retrieval of keys in a large set of strings. It is particularly useful in scenarios where we need to store and search for strings efficiently. The Trie data structure has several operations, including insertion, deletion, search, and sorting. However, the operation that is not typically performed on a Trie is sorting.

Explanation:
1. Insertion:
Insertion is one of the fundamental operations of a Trie. It involves adding a new key (string) to the existing Trie. Insertion in a Trie is efficient and has a time complexity of O(L), where L is the length of the key being inserted. During insertion, the Trie is modified by creating new nodes and updating the existing ones to represent the added key.

2. Deletion:
Deletion is another important operation performed on a Trie. It involves removing a key from the Trie. Deletion in a Trie is also efficient and has a time complexity of O(L), where L is the length of the key being deleted. During deletion, the Trie is modified by removing nodes and updating the existing ones to maintain the structure of the Trie.

3. Search:
Search is a common operation performed on a Trie. It involves finding whether a given key exists in the Trie or not. Searching in a Trie is efficient and has a time complexity of O(L), where L is the length of the key being searched. During search, the Trie is traversed from the root to the leaf nodes, comparing each character of the key with the characters stored in the Trie.

4. Sorting:
Unlike the other operations mentioned above, sorting is not typically performed on a Trie. The primary purpose of a Trie is to store and retrieve keys efficiently, rather than sorting them. Sorting involves arranging the keys in a specific order (e.g., lexicographically) based on some criteria. While it is possible to sort the keys stored in a Trie, it is not a natural or common operation performed on a Trie.

Conclusion:
In summary, the operation that is not typically performed on a Trie is sorting. Trie data structure is primarily used for efficient insertion, deletion, and searching of keys. Although sorting can be achieved using a Trie, it is not a common use case for Trie data structure.