Radial wave-functions and spherical harmonics of p-orbitals in a certain hypothesis
In &quot;real life&quot;, the hydrogen atom has its only electron in the s orbital. And unless it gets to an excitated state, that's the only thing that matters (whether you're studying the energy of the atom or the bounds it can make in terms of energy or symmetry).
Nevertheless, the H atom is likely to have a spherical symmetry, so any of its p-orbitals will be orthogonal to the others, so their linear combination is likely to keep the overall spherical(-ish) symmetry of the atom.
Here is a representation of such orbitals :

(Reference)
Hope this helps!