Group of order 2026 | Group Theory | CSIR NET JULY 2026 | IFAS

Group of order 2026 explained with clear concepts and exam-focused approach. Master Group Theory for CSIR NET July 2026 by analysing the group of order 2026 via 2p structure. Covers classification, element orders, subgroups, class equation, and Sylow counting for CSIR NET Mathematical Science. 🔥Join India's Best Coaching for CSIR NET and GATE Exams: https://ifasonline.com/csir-net/mathe... 📞 Need Guidance? Call/WhatsApp: 9172266888 ━━━━━━━━━━━━━━━━━━━━━━━━━ ⏳ Lecture Timeline: [00:00:00] – Introduction of Group of Order 2026 [00:00:45] – Prime Factorisation: 2 × 1013 (2p) [00:01:04] – Concept: Groups of Order 2p (p odd) [00:01:27] – Classification: Z₂ₚ or Dₚ [00:01:57] – Important: Elements of Order 2 in Dₚ = p [00:02:11] – Formula: Elements of Order k = φ(k) [00:03:19] – Recap: Order 1, 2, p Elements Count [00:04:02] – Subgroups of Dₙ: Cyclic or Dihedral [00:05:02] – Counting: Number of Zₖ and Dₖ Subgroups [00:06:28] – Subgroup Count in Dₚ (Total = p+3) [00:08:24] – Class Equation of Dₚ [00:09:08] – Normal Subgroups in Dₚ [00:10:01] – Sylow Subgroups: nₚ = 1, n₂ = 1 or p [00:11:07] – Trick: Sylow 2‑subgroup Decides Structure [00:12:17] – Summary & Exam Tips [00:13:51] – Complete Session(Group of Order 2026) ━━━━━━━━━━━━━━━━━━━━━━━━━ 📖 Topics Covered in This Lecture: • Group of Order 2026: Classification & 2p Analysis • Element Orders, Subgroup Count & Dihedral Group Dp Structure • Normal Subgroups, Class Equation & Sylow Subgroup Tricks ━━━━━━━━━━━━━━━━━━━━━━━━━ 📚 Lecture Summary: In this session, IFAS Expert Faculty focuses on the group of order 2026 for CSIR NET July 2026. Using 2026=2×1013 (2p with odd prime), the discussion covers classification into Z₂ₚ or Dₚ, element order distribution, subgroup counting, normal subgroups, class equation of Dₚ, and Sylow subgroup properties. The group of order 2026 is thoroughly analysed with exam-oriented problem‑solving and structural tricks, making group theory concepts directly applicable to CSIR NET questions. ━━━━━━━━━━━━━━━━━━━━━━━━━ 🎓 This lecture is highly beneficial for students preparing for: ✅ CSIR NET Mathematical Science ✅ GATE Mathematics ✅ SET Mathematics ✅ TIFR Mathematics ✅ PhD Entrance Exams ━━━━━━━━━━━━━━━━━━━━━━━━━ 🏆 Why IFAS is India’s No. 1 Choice for CSIR NET & GATE Mathematics? (Our Results Speak): ✅ CSIR NET Dec 2025: 4000+ Selections (AIR 3, 8, 9.....) ✅ CSIR NET June 2025: 4200+ Selections (AIR 1, 2, 6, 10...) ✅ CSIR NET Dec 2024: 4000+ Selections (AIR 5, 6, 7, 8, 9...) ✅ CSIR NET June 2024: 2000+ Selections (AIR 3, 10, 13...) ✅ CSIR NET Dec 2023: 1200+ Selections (AIR 2, 4, 5...) 📄 View IFAS Result Sheet: 👉 https://drive.google.com/file/d/1THh6... ━━━━━━━━━━━━━━━━━━━━━━━━━ 🔗 Important Links: 🌍 Visit our Website: https://ifasonline.com 📞 Contact for Queries: 9172266888 📘 Free Counselling: https://ifasonline.com/csir-net/mathe... ━━━━━━━━━━━━━━━━━━━━━━━━━ 🔗 India's Best Online Classes and Books: 🔥CSIR NET Mathematical Science Live & Recorded Course: https://ifasonline.com/csir-net/mathe... 🎯 GATE Mathematics Recorded Course: https://ifasonline.com/gate/mathemati... 📘CSIR NET Mathematical Science Books: https://ifasonline.com/csir-net/mathe... ━━━━━━━━━━━━━━━━━━━━━━━━━ 📲 Download IFAS App: Android: https://play.google.com/store/apps/de... IOS: https://apps.apple.com/us/app/ifas/id... ━━━━━━━━━━━━━━━━━━━━━━━━━ Stay Updated Via Other Social Media: ✔Telegram: https://t.me/NET_GATE_SET_Maths_Discu... ✔Instagram:   / csir_net_mathematical_science   #grouptheory #grouptheoryquestions #abstractalgebra #csirnetmathematicalscience #gatemathematics #csirnetmaths #csirnetjune2026 #csirnetlecture #ifasmathematics