  We give a complete list of all the 70 class two groups of exponent p (p>2)
and order p^k for k<9. For each of these groups the number of conjugacy classes
is a polynomial in p, and the order of the automorphism group is a polynomial
in p. In contrast, Marcus du Sautoy and Michael Vaughan-Lee have given an
example of a class two group of exponent p and order p^9 for which neither the
number of conjugacy classes, nor the order of the automorphism group is
polynomial on residue classes (PORC).
