  The 2MFGC catalog we have used contains 18020 galaxies selected from the
extended objects in the 2MASS infrared sky survey as having apparent ratios of
the axes b/a<0.3. Most of them are spiral galaxies of later morphological types
whose disks are seen almost edge-on. The individual distances to the 2724 2MFGC
galaxies with known rotation velocities and radial velocities are determined
using a multiparameter infrared Tully-Fisher relation. A list of the distances
and peculiar velocities of these galaxies is presented. The collective motion
of the 2MFGC galaxies relative to the cosmic microwave background is
characterized by a velocity V = 199 +- 37 km/s in the direction l = 304o +-
11o, b = -8o +- 8o. Our list is currently the most representative and uniform
sample for analyzing non-Hubble motions of galaxies on a scale of ~100 Mpc.
