Querying the Spitzer  archive for optically-selected active galactic nuclei ( AGN ) observed in high-resolution-mode spectroscopy , we identified radio and/or interacting galaxies with highly turbulent motions of { H _ { 2 } }  gas at a temperature of a few hundred Kelvin . Unlike all other AGN that have unresolved { H _ { 2 } }  line profiles at a spectral resolution of \sim 600 , 3C236 , 3C293 , IRAS09039+0503 , MCG-2-58-22 and Mrk463E have intrinsic velocity dispersions exceeding 200 km s ^ { -1 }  for at least two of the rotational S0 , S1 , S2 , and S3 lines . In a sixth source , 4C12.50 , a blue wing was detected in the S1 and S2 line profiles , indicating the presence of a warm molecular gas component moving at -640 km s ^ { -1 }  with respect to the bulk of the gas at systemic velocity . Its mass is 5.2 \times 10 ^ { 7 } M _ { \odot } , accounting for more than one fourth of the { H _ { 2 } }  gas at 374K , but less than 1 % of the cold { H _ { 2 } }  gas computed from CO observations . Because no diffuse gas component of 4C12.50 has been observed to date to be moving at more than 250 km s ^ { -1 }  from systemic velocity , the { H _ { 2 } }  line wings are unlikely to be tracing gas in shock regions along the tidal tails of this merging system . They can instead be tracing gas driven by a jet or entrained by a nuclear outflow , which is known to emerge from the west nucleus of 4C12.50 . It is improbable that such an outflow , with an estimated mass loss rate of 130 M _ { \odot } yr ^ { -1 } , entirely quenches the star formation around this nucleus .