The next quantum number is the angular moment quantum number. This gets the symbol \(\ell\) (that's a cursive ell). This quantum number is related to the "shape" of the wavefunction.
\(\ell\) is an integer and can have any value starting at zero and going up \(n-1\).
Since the \(\ell\) values are also related to some historical experiments, they maintain other notations. \(\ell=0\) are called \(s\), \(\ell=1\) are \(p\), \(\ell=2\) are \(d\), \(\ell=3\) are \(f\), \(\ell=4\) are \(g\), \(\ell=5\) are \(h\)....