This is a review of most fundamental (symmetry) aspects of turbulence for a physical audience.  To excite turbulence, one needs an external pumping;  to keep it in a steady state one needs dissipation. Pumping and dissipation break symmetries like time-reversibility, isotropy, scale invariance.  Since pumping and dissipation act on vastly different scales, the question appears what are the statistical properties of a system at the intermediate scales (called inertial interval or transparency window).   I shall describe both anomalies (when the symmetry is not restored even when the symmetry-breaking factor goes to zero) and emerging symmetries like conformal invariance. In the latter case, by using the language of Schramm-Loewner Evolution for analysis of fractal clusters, one discovers a surprising similarity between critical phenomena and turbulence.