In recent years, the notion of global higher-group symmetry has emerged, which brings together ordinary (0-form) and higher-form global symmetries in a more general mathematical structure. Previously, it has been shown that a nontrivial higher-group structure can be triggered by an underlying mixed ’t Hooft anomaly or by a topological coupling of different sectors of the theory. Starting with an elementary review of higher-form symmetry, I will explain how this naturally leads to a new class of systems featuring higher-group symmetry. The niche in which such symmetries occur is that of multicomponent generalized p-form superfluids. The higher-group structure arises from the Grassmann algebra of topological currents of the superfluid.