Question

Give example of a solvable group which is not abelian

Answer 1

Non Abelian solvable group

A small example of a solvable, non-nilpotent group is the symmetric group S3. In fact, as the smallest simple non-abelian group is A5, (the alternating group of degree 5) it follows that every group with order less than 60 is solvable....

Examples: The integers with the addition operation. Positive rational numbers with the multiplication operation.