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You're a British subject if you were a citizen of Ireland on 31 December 1948 and made a claim to remain a British subject. If you did not make a claim to remain a British subject you can apply to the Home Secretary to become a British subject if either: you've been in Crown service for the UK government.
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Currently, it refers to people possessing a class of British nationality largely granted under limited circumstances to those connected with Ireland or British ...

British subject

The term "British subject" has several different meanings depending on the time period. Before 1949, it referred to almost all subjects of the British Empire. Between 1949 and 1983, the term was synonymous with Commonwealth citizen. Wikipedia
The different types of British nationality explained - British citizen, British overseas territories citizen, British overseas citizen, British subject, ...
The principal class of British nationality is British citizenship, which is associated with the British Islands. British nationals associated with an overseas ...