Sort a list of hungarian strings in the hungarian alphabetical order

I am working at the moment with some data in hungarians. I have to sort a list of hungarians strings.

According to this Collation Sequence page

Hungarian alphabetic order is: A=Á, B, C, CS, D, DZ, DZS, E=É, F, G, GY, H, I=Í, J, K, L, LY, M, N, NY, O=Ó, Ö=Ő, P, Q, R, S, SZ, T, TY, U=Ú, Ü=Ű, V, W, X, Y, Z, ZS

So vowels are treated the same (A=Á, ...) so in the result you can have some like that using Collator :

Abdffg
Ádsdfgsd
Aegfghhrf

Up to here, no problem :)

But now, I have the requirement to sort according to the Hungarian alphabet

A Á B C Cs D Dz Dzs E É F G Gy H I Í J K L Ly M N Ny O Ó Ö Ő P (Q) R S Sz T Ty U Ú Ü Ű V (W) (X) (Y) Z Zs

A is considered different than Á

Playing with the Strength from Collator doesnt change the order in the output. A and Á are still mixed up.

Is there any librairies/tricks to sort a list of string according to the hungarian alphabetical order?

So far what I am doing is :

• Sort with Collator so that the C/Cs, D,DZ, DZS... are sorted correctly
• Sort again by comparing the first characters of each word based on a map

This looks too much hassle for the task no?

List<String> words = Arrays.asList(
        "Árfolyam", "Az",
        "Állásajánlatok","Adminisztráció",
        "Zsfgsdgsdfg", "Qdfasfas"

);

final Map<String, Integer> map = new HashMap<String, Integer>();
      map.put("A",0);
      map.pu