SmallGroup(p^4,3)

Definition
Let $$p$$ be a prime number. This group is defined by the followin presentation:

$$G := \langle a,b,c \mid a^{p^2} = b^p = c^p = e, ab = ba, bc = cb, cac^{-1} = ab \rangle$$

It is a group of order $$p^4$$. Particular cases are $$p = 2$$ (we get SmallGroup(16,3)) and $$p = 3$$ (we get SmallGroup(81,3)).