The three types of card catalogues are:
Author catalog - each card is arranged alphabetically according the last name(s) of the author(s).
Title catalog - each card is arranged alphabetically according the title of the item.
Subject catalog - each card is arranged alphabetically according the subject heading(s) of the item.
For example: If I were looking for a book titled, "The Life of Wombats", by Enid Purge, I could find it in the Authors' catalog under Purge; the Title catalog under "Life of . . ." or the Subject catalog under whales.