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We show that Guilfoyle's exact solutions of the Einstein-Maxwell equationsfor spherical symmetric static electrically charged matter with aReissner-Nordstr\"om exterior possess a bewildering plethora of different typesof solutions. For the parameter space of the solutions we use two normalizedvariables, $q^2/R^2$ and $r_0/R$, where $q$ is the total electric charge, $r_0$is the radius of the object, and $R$ is a length representing the square rootof the inverse energy density of the matter. The two other parameters, the mass$m$ and the Guilfoyle parameter $a$, both dependent on $q$, $r_0$ and $R$, areanalyzed in detail. The full parameter space of solutions $q^2/R^2\times r_0/R$is explored with the corresponding types of solutions being identified andanalyzed. The different types of solutions are regular charged stars, includingcharged dust stars and stars saturating the Buchdahl-Andr\'easson bound,quasiblack holes, regular charged black holes with a de Sitter core, regularblack holes with a core of phantom charged matter, other exotic regular blackholes, Schwarzschild stars, Schwarzschild black holes, Kasner spacetimes,pointlike and planar naked singularities, and the Minkowski spacetime. Allowingfor $q^2<0$, in which case it is not possible to interpret $q$ as electriccharge, also yields new solutions, some of which are interesting and regular,others are singular. Some of these types of solutions as well as the matterproperties have been previously found and studied, here the full spectrum beingpresented in a unified manner.

Plethora of relativistic charged spheres: The full spectrum of Guilfoyle's static, electrically charged spherical solutions