  We compute the symbol of the full-color two-loop five-particle amplitude in
$\mathcal{N}=4$ super Yang-Mills, including all non-planar subleading-color
terms. The amplitude is written in terms of permutations of Parke-Taylor
tree-level amplitudes and pure functions to all orders in the dimensional
regularization parameter, in agreement with previous conjectures. The answer
has the correct collinear limits and infrared factorization properties,
allowing us to define a finite remainder function. We study the multi-Regge
limit of the non-planar terms, analyze its subleading power corrections, and
present analytically the leading logarithmic terms.
