We discovered that a) a single key can support a multiplicity of ordered groups, b) only a subset of each group needs to be visually represented on the face of a key, c) either multi-tap or predictive methods, or both, can be used to input members of each of the groups, and d) auxiliary keys are a convenient, effective and user-discoverable method to select ordered groups, and to perform the multi-tap function. The objects of: limiting multi-tap depth, reducing keystrokes per symbol, unifying focus, increasing discoverability, graduated discoverability, power, compact presentation, and seamless integration of multi-tap and predictive text methods, can all be achieved by exploiting these discoveries.