An Example of a Relatively Maximal Nonpronormal Subgroup of Odd Order in a Finite Simple Group

We prove the existence of a triple $ ({\mathfrak{X}},G,H) $ , where $ {\mathfrak{X}} $ is a class of finite groups consisting of groups of odd order which is complete(i.e., closed under subgroups, homomorphic images, and extensions), $ G $ is a finite simple group, $ H $ is an $ {\mathfrak{X}} $ -maximal subgroup in $ G $ ,and  $ H $ is not pronormal in  $ G $ .