Nick's school loathed bolshy characters (9,4)

I believe the answer is:

dotheboys hall

I'm a little stuck... Click here to teach me more about this clue!

'nick's school' is the definition.
'dotheboys hall' can be an answer for 'school' (I've seen this before). I'm unsure of the 'nick's' bit.

'loathed bolshy characters' is the wordplay.
'characters' indicates an anagram.
'loathed'+'bolshy'='loathedbolshy'
'loathedbolshy' with letters rearranged gives 'DOTHEBOYS HALL'.

Can you help me to learn more?

(Other definitions for dotheboys hall that I've seen before include "Old school" , "Boarding school" , "Squeers' academy (Dickens)" , "School in "Nicholas Nickleby"" , "Dickensian school" .)

I've seen this clue in The Guardian.

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