  Aims. Previous studies reported an alignment of the major axes of radio
galaxies on various angular scales. Here, we study the alignment of radio
galaxies in the ELAIS-N1 Low Frequency ARray (LOFAR) deep field, which covers
an area of 25 $\rm deg^2$. \newline Methods. The low noise level of about 20$
\rm ~ \mu Jy/beam$ of the LOFAR deep field observations at 150 MHz enabled the
identification of 447 extended ($> 30 \rm ''$) radio galaxies for which we have
measured the major axis position angle. We found that 95\% of these sources
have either photometric or spectroscopic redshifts, which we then used for a
three-dimensional analysis. \newline Results. We show the distribution of the
position angles of radio galaxies in the ELAIS-N1 field and perform multiple
statistical tests to check whether the radio galaxies are randomly oriented. We
found that the distribution of position angles is consistent with being
uniform. Two peaks around position angles of 50 and 140$\rm~ deg$ are spurious
and are not caused by an alignment, as shown by a 3D analysis. In conclusion,
our results do not support a 2D or 3D alignment of radio galaxies on scales
smaller than $\sim 4 \rm ~ deg$.
