In this paper, we study the structure of a superabundant semigroup S whose set of idempotents E(S) forms a subsemigroup.We call such a semigroup a cyber-group because it is a generalization of orthogroups in the class of completely regular semigroups studied by Petrieh and ReillyWe show that a cyber-group can be expressed as a semilattice of rectangular monoidsThus, our result generalizes the well-known result obtained by Petrich in 1987 for orthogroupsSome properties of cyber-groups are given and some special superabundant semigroups are discussed.