In addition to the classification of crystals in 32 Crystal Classes divided into 6 (or 7) Crystal Systems, I propose a second further classification. The 32 Crystal Classes are rearranged in a 8x4=32 table having 8 row and 4 columns so they are constituted by eight Groups, each of them having four Classes. This is no more a hypothesis. This is a fact, unanbiguously based on physical properties. It took me almost forty years to get here. Aside from all the various ruminations many of which I’ve posted elsewhere, the final decisive step was the following: even the second column classes ("center", bit c) share a common physical property. This property is: "non-polar" or "non-pyro", that is, enough isotropically distributed around the center not to be pyroelectric. No invention here, but only a rereading of what is possible for all to see, exactly written in crystallography books. Interpreted, of course.