  A small sub-class of radio galaxies that exhibit a pair of secondary low
surface brightness radio lobes oriented at an angle to the primary high surface
brightness lobes are known as X-shaped radio galaxies (XRGs). In cases, it is
seen that the less luminous secondary lobes emerge from the edges of the
primary high brightened lobes and give a Z-symmetric morphology. These are
known as Z-shaped radio galaxies (ZRGs). From the TIFR GMRT Sky Survey at 150
MHz, we present a systematic search result for XRGs and ZRGs. We identified a
total of 58 radio sources, out of which 40 are XRGs and 18 are ZRGs. Taking
advantage of the large sample size of the XRGs and ZRGs reported in the current
paper, different properties of XRGs and ZRGs are studied. Out of 58 XRGs and
ZRGs presented in the current paper, 19 (32 per cent) are FR-I and 33 (57 per
cent) are FR-II radio galaxies. For four XRGs and three ZRGs, the morphology is
so complex that they could not be classified. We have estimated radio
luminosity and spectral index of newly discovered winged radio galaxies and
made a comparative study with previously detected XRGs and ZRGs. Most of the
XRGs show a steep spectral index between 150 MHz and 1400 MHz and only 14 per
cent of the sources show a flat spectrum but for ZRGs, a good fraction of the
sources (36 per cent) show a flat spectrum.
