  We construct Darboux-Moutard type transforms for the two-dimensional
conductivity equation. This result continues our recent studies of
Darboux-Moutard type transforms for generalized analytic functions. In
addition, at least, some of the Darboux-Moutard type transforms of the present
work admit direct extension to the conductivity equation in multidimensions.
Relations to the Schr\"odinger equation at zero energy are also shown.
