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[Music] so here we're going to talk about how a character table can be used to represent the properties of a group the mathematical tool that we can use to to represent symmetry is called group theory and group theory uses a lot of matrix math as the representation of those symmetry properties so here's the language that we're using to describe symmetry the properties of a group can be you you use in in group theory with the matrices can be represented by a character table each point group has its own character table so here is the character table for c2h the point group of the trans-dichloroethylene molecule we were looking at previously so you have available to you character tables that i'll i'll print for you and also that you can find as a pdf on moodle and it should be noted that character tables are not the kind of thing that we commit to memory instead they're a resource that we consult kind of like the periodic table itself and so character tables look something like this what...