Magnetic field-induced giant modification of probabilities for seven components of 6S 1/2 (F g =3) 6P 3/2 (F e =5) transition of Cs D 2 line forbidden by selection rules is observed experimentally for the first time. For the case of excitation with circularly-polarized laser radiation, the probability of F g =3,m F =-3 F e =5,m F =-2 transition becomes the largest among 25 transitions of F g =3 F e =2,3,4,5 group in a wide range of magnetic field 200 -3200 G. Moreover, the modification is the largest among D 2 lines of alkali metals. A half-wave-thick cell (length along the beam propagation axis L=426 nm) filled with Cs has been used in order to achieve subDoppler resolution which allows for separating the large number of atomic transitions that appear in the absorption spectrum when an external magnetic field is applied. For B > 3 kG the group of seven transitions Fg=3 Fe=5 is completely resolved and is located at the high frequency wing of Fg=3 Fe=2,3,4 transitions. The applied theoretical model very well describes the experimental curves.