There is $\textsf{NO}$ base-centered cubic lattice among the list of $14$ Bravais lattices because of one or more of the following reasons
- It does $\textsf{NOT}$ have translational symmetry
- It is only compatible with the symmetry of orthorhombic crystal system
- It is only compatible with the symmetry of tetragonal crystal system
- It does $\textsf{NOT}$ have $3$-fold rotation axes along the body diagonals