The jōyō kanji (常用漢字, regular-use kanji), consisting of 2,136 characters, include all the Kyōiku kanji and an additional 1,110 kanji taught in junior high and high school. Characters outside this category often have furigana in publishing. The jōyō kanji replaced the tōyō kanji, a list of 1,850 characters introduced in 1946. Initially, the jōyō kanji list had 1,945 characters but was expanded to 2,136 in 2010.
[...] Kanji, with their numerous symbols, are typically sorted using the traditional Chinese radical-and-stroke method. This method involves identifying common components known as radicals and grouping characters by their primary radical. Characters are then ordered based on the number of pen strokes within each radical. For instance, the kanji character 桜 meaning "cherry" is classified as a ten-stroke character under the primary radical 木 meaning "tree," which consists of four strokes. When there is no clear radical or multiple radicals, conventions determine the sorting approach.
(paraphrased from Wikipedia)