The equivariant stable homotopy category is a perpetual source of surprise and confusion for algebraic topologists. Classically, the focus has been on the surprising occurrence of the transfer when we build a category in which \(G\)-manifolds have a good notion of duality. This makes computations significantly trickier, greatly increasing the complexity of the algebraic approximations to equivariant stable homotopy. More recent work has considered instead the multiplicative versions of the transfer and an enrichment to the symmetric monoidal structure on \(G\)-spectra. This has a host of exciting and often confusing computational ramifications. I'll focus on how we can encode these for finite groups, and then describe some exciting new work in the compact Lie and motivic cases.