The 41 3o (E2) transition of methyl alcohol (CH3OH) at 36,169 MHz has been detected with a total strength of > 120 flux units (f.u.) in two extended clouds in Sgr B2. The line is not present to a limit of 30 f.u. in Ori A or in several other sources. This new line is further evidence, in addition to that of the recently detected 5i 4o (E2) transition, that the interstellar CH3OH molecule is anomalously excited in most, if not all, of the transitions that have so far been detected in the interstellar medium. We give limits to other molecular lines searched for but not detected in the range 28-40 GHz.