  We have studied the impact of the nonextensivity on the transport
coefficients related to charge and heat in thermal QCD. For this purpose, the
electrical ($\sigma_{\rm el}$), Hall ($\sigma_{\rm H}$), thermal ($\kappa$) and
Hall-type thermal ($\kappa_{\rm H}$) conductivities are determined using the
kinetic theory approach in association with the nonextensive Tsallis
statistical mechanism. The effect of nonextensivity is encoded in the
nonextensive Tsallis distribution function, where the deviation of the
parameter $q$ from 1 signifies the degree of nonextensivity in the concerned
system. The thermal and electrical conductivities are found to increase with
the introduction of nonextensivity, which means that the deviation of the
medium from thermal equilibrium enhances both charge and heat transports. With
the magnetic field, the deviations of $\sigma_{\rm el}$, $\sigma_{\rm H}$,
$\kappa$ and $\kappa_{\rm H}$ from their respective equilibrated values
increase, whereas these deviations decrease with the chemical potential. We
have also studied how the extent of the nonextensivity modulates the longevity
of magnetic field. Present work is further extended to the study of some
observables associated with the aforesaid transport phenomena, such as the
Knudsen number and the elliptic flow within the nonextensive Tsallis framework.
