Answer
(Fatwa: 2372/H=856/th=1431)
When you gave three talaqs, all the three took place. No matter whether the woman gives talaq or not. Your wife became haram for you whether you are aware from the commandment of Islam more or less. Neither you have the right to take her back nor solemnize new nikah without a valid halalah. After the completion of iddah period, the woman can marry where she wishes except you. It is proved from Bukhari (Vol. 2, P. 791) and Fatawa al-Hindiyah etc.
Allah (Subhana Wa Ta’ala) knows Best
Darul Ifta,
Darul Uloom Deoband