A hexomino (or 6-omino) is a polyomino of order 6, that is, a polygon in the plane made of 6 equal-sized squares connected edge-to-edge.[1] The name of this type of figure is formed with the prefix hex(a)-. When rotations and reflections are not considered to be distinct shapes, there are 35 different Free hexominoes. When reflections are considered distinct, there are 60 one-sided hexominoes. When rotations are also considered distinct, there are 216 fixed hexominoes.[2][3]
With a total of 35 pieces it might be possible to make 5 congruent shapes consisting of seven pieces or 7 congruent shapes with 5 pieces each. Both of these are possible as can be seen from the following courtesy of Mike Reid.