Rehman (31) was arrested here with Naimathullah Hussaini alias Yasir alias Abu Darda on July 12. The duo, as well as two others, Mohammed Ibrahim Yazdani and Mohammed Ilyas Yazdani, were today produced before the Metropolitan Sessions Judge K Rajkumar.
NIA sought Rehman's custody for seven more days for further investigation but the court extended it by five days.
Yasir, Ibrahim Yazdani and Ilyas Yazdani were sent to judicial custody till July 26.
Yasir was appointed the "amir" (chief) of the Hyderabad module and was its main fund-raiser. He also participated in key conspiracy meetings, according to NIA.
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Mohammed Ibrahim Yazdani alias Ibbu, Habeeb Mohammed alias Sir, Mohammed Ilyas Yazdani, Abdullah Bin Ahmed Al Amoodi and Muzaffar Hussain Rizwan were arrested on June 29.
They are accused of conspiring to carry out bomb attacks.
Following some prior probe, on June 22 NIA lodged an FIR for criminal conspiracy to wage war against the Government of India and made the arrests.
The group was planning to carry out attacks across India and was in touch with ISIS members in Syria, it said.