An electronic gaming machine includes a display device, a player input interface configured to receive player input from a player; and a game controller configured to execute instructions. The instructions cause the processor to generate, based on a random number generator, at least one random number, query a lookup table of display symbols to be displayed in a grouped symbol position on the display device. At least one entry in the lookup table is associated with a plurality of single symbol positions and a weight, wherein the plurality of single symbol positions includes a population of partial symbols. A grouped symbol is displayed having a height at least two times the height of a single symbol position and comprising at least two of the partial symbols, the two partial symbols combining to display a complete symbol having a height at least two times the height of a single symbol position.