As you have asked about the UGC NET Admit card, I want to tell you it has been available and you can download it. For that you can follow steps given below.
For that, go to CBSE NET website, the page open look like




Then click on Download Admit card, the page open look like



Then enter the details and you can download your admit card.
University of Allahabad is a coordinating institution for UGC NET.

As you have asked about other coordinating institutions, I am listing some of them below
Code No. Name of NET Coordinating Institutions

01 Aligarh Muslim University, Aligarh – 202 002.
02 University of Allahabad, Allahabad – 211 002.
03 Andhra University, Visakhapatnam – 530 003.
04 Rajiv Gandhi University, Rono Hills, Itanagar – 791 111.
05 Banaras Hindu University, Varanasi – 221 005.
06 Bangalore University, Bengaluru – 560 056.
07 M.P. Bhoj Open University, Raja Bhoj Marg, Bhopal – 462 016.
08 Berhampur University, Berhampur – 760 007.
09 Bharathiar University, Coimbatore – 641 046.
10 Bharathidasan University, Tiruchirapalli – 620 024.
11 University of Burdwan, Burdwan – 713 104.
12 University of Calcutta, Kolkata – 700 073.
13 University of Calicut, Kozhikode – 673 635.
14 Ch. Charan Singh University, Meerut – 250 005.
15 Chhatrapati Shahu Ji Maharaj University, Kanpur – 208 024.
16 Cochin University of Science and Technology, Kochi – 682 022.
17 College of Vocational Studies, Triveni (Sheikh Sarai), Phase-II, New Delhi-110017.
18 Devi Ahilya Vishwavidyalaya , Indore – 452 001.