On intersection of $A$-admissible $\Theta$-subgroups that do not contain Fitting subgroup

The structure of a subgroup equal to the intersection of kernels non-nilpotent maximal $A$-admissible $\Theta$-subgroups that do not contain Fitting subgroup is considered. The influence of the corresponding generalized Frattini subgroup on the structure of the group itself was found.