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For every natural number n ≥ 4 there are exactly 4 non-abelian groups (up to isomorphism) of order 2, with a subgroup of index 2. In this article, we are going to illustrate all of these groups properties and axioms using Groups, Algorithms and Programming GAP. AMS Subject Classification: 11E57, 20B05

ON NON-ABELIAN GROUPS OF ORDER 2^n, n >= 4 USING GAP