The subshell that can hold a maximum of 14 electrons is the 4f subshell.

Here's why:

* Subshells and Orbitals: Each electron shell (like the first shell, second shell, etc.) is divided into subshells. These subshells are designated by letters: s, p, d, and f.

* Number of Orbitals: Each subshell contains a specific number of orbitals:

* s subshell: 1 orbital

* p subshell: 3 orbitals

* d subshell: 5 orbitals

* f subshell: 7 orbitals

* Electrons per Orbital: Each orbital can hold a maximum of 2 electrons.

Therefore, the 4f subshell, with 7 orbitals, can hold a maximum of 7 orbitals * 2 electrons/orbital = 14 electrons.