Order the following functions by growth rate $(12$ points$)$

$2^{50}$

$N$

$\sqrt[\phantom{2}]{N}$

$N^{1\mathrm{.}5}$

$N^2$

NlogN

NloglogN

$Nlo{g}^{2}N$

$Nlgg(N^2)$

$\frac{2}{N}$

$2^N$

$37$

$N^{2}logN$

$N^3$

Indicate which of the functions grow at the same rate.