  A graph is called chordal if it forbids induced cycles of length 4 or more.
In this paper, we attempt to identify the non-nilpotent groups whose power
graph is a chordal graph (this question was raised by Cameron in [4]). In this
direction, we characterise the direct product of finite groups having chordal
power graphs. We classify all finite simple groups of Lie type whose power
graph is chordal. Further, we prove that the power graph of a sporadic simple
group is always non-chordal. In addition, we show that almost all groups of
order up to 47 have chordal power graphs.
