of the plate to be fastened however is limited to the length of the fastening section 15 of the base element 12 the base element 12 has lugs 17 1 to 17 8 or 18 1 and 18 2 as receiving means for the supporting elements 13 1 to 13 6 and 14 as well as not shown here fastening openings on the fastening section 15 and on the angular section 16 wherein the lugs 17 1 to 17 8 or 18 1 and 18 2 and fastening openings are arranged essentially analogous to the lugs and bore holes of the base element 1 see fig1 the spacing a of the lugs 17 1 to 17 8 preferably corresponds to the spacing a of the lugs 2 of the base element 1 whereby the two base elements 1 and 12 are interchangeable and can be used on one and the same opening depending on the existing circumstances the two lugs 18 1 and 18 2 are preferably spaced using the spacing a wherein their spacing and the existing projections determine the length of the angular section the distance between two supporting elements for example the distance e between supporting elements 13 3 and 13 3 preferably corresponds to the thickness d of a plate 9 which is to be fastened using the fastening system 11 in the opening 0031 fig3 shows a view onto a first exemplary embodiment of the supporting element according to the invention the angular supporting element 13 has a first member 21 for fastening of the supporting element 13.