  In this paper, we give a brief overview of generalized symmetries from the
point of view of the lattice regularization as a fully regularized framework.
At first, we illustrate the generalization of 't~Hooft anomaly matching for
higher-form symmetries. Furthermore the main interest goes to the higher-group
symmetry. In particular, we find that the so-called $4$-group appears in the
lattice Yang--Mills theory under modification of instanton sum.
