Сетевые подгруппы группы GL(3, Q), определяющие структуру надгрупп циклического тора

We study nets and net subgroups that define the structure of subgroups of the general linear group G = GL(3, Q) of degree 3 over the field of rational numbers Q, containing a non-split maximal torus T = T (d) associated with a radical (cyclic) extension Q( 3 √d) of degree 3 of the field of rational numbers Q. The calculation of the normalizer N (σ) is given of the elementary net subgroup E(σ) in the group G