Abstract: Dieudonne theory, which links p-divisible groups with semi-linear algebraic objects like displays, has widespread applications within both arithmetic geometry and homotopy theory. Following a suggestion of Drinfeld and building off of much recent work on prismatic Dieudonne theory and "stacky" prismatic cohomology, we introduce (truncated) prismatic (G,mu)-apertures as a group-theoretic generalization of (truncated) p-divisible groups which crucially allows G to be any smooth group scheme over Z_p and mu any (unramified) 1-bounded cocharacter of G. We study the moduli of (truncated) prismatic (G,mu)-apertures and resolve several conjectures of Drinfeld on the resulting (derived) formal stacks BT_n^{G,mu} (n encodes the degree of truncation). In particular, we show that the stacks BT_n^{G,mu} have good smoothness, finiteness, and representability properties and construct analogues of Dieudonne theory and Grothendieck-Messing theory in this setting. All of this will be explained using the broader formalism of 1-bounded derived stacks, and if time allows we will discuss how this formalism can be used to construct prismatic Rapoport-Zink spaces in the unramified case.