Unitriangular matrix group:UT(3,7)

Definition
This group is defined in the following equivalent ways:


 * 1) It is the unitriangular matrix group of degree three over field:F7. In other words, it is the group UT(3,p) for $$p = 7$$.
 * 2) It is the unique non-abelian group of order $$7^3$$ and exponent $$7$$.
 * 3) It is the extraspecial group of order $$7^3$$.