Here's the output of the GAP command "SmallGroupsInformation(512)"

There are 10494213 groups of order 512.

1 is cyclic. 
2 - 10 have rank 2 and p-class 3.
11 - 386 have rank 2 and p-class 4.
387 - 1698 have rank 2 and p-class 5.
1699 - 2008 have rank 2 and p-class 6.
2009 - 2039 have rank 2 and p-class 7.
2040 - 2044 have rank 2 and p-class 8.
2045 has rank 3 and p-class 2.
2046 - 29398 have rank 3 and p-class 3.
29399 - 30617 have rank 3 and p-class 4.
30618 - 31239 have rank 3 and p-class 3.
31240 - 56685 have rank 3 and p-class 4.
56686 - 60615 have rank 3 and p-class 5.
60616 - 60894 have rank 3 and p-class 6.
60895 - 60903 have rank 3 and p-class 7.
60904 - 67612 have rank 4 and p-class 2.
67613 - 387088 have rank 4 and p-class 3.
387089 - 419734 have rank 4 and p-class 4.
419735 - 420500 have rank 4 and p-class 5.
420501 - 420514 have rank 4 and p-class 6.
420515 - 6249623 have rank 5 and p-class 2.
6249624 - 7529606 have rank 5 and p-class 3.
7529607 - 7532374 have rank 5 and p-class 4.
7532375 - 7532392 have rank 5 and p-class 5.
7532393 - 10481221 have rank 6 and p-class 2.
10481222 - 10493038 have rank 6 and p-class 3.
10493039 - 10493061 have rank 6 and p-class 4.
10493062 - 10494173 have rank 7 and p-class 2.
10494174 - 10494200 have rank 7 and p-class 3.
10494201 - 10494212 have rank 8 and p-class 2.
10494213 is elementary abelian.

This size belongs to layer 7 of the SmallGroups library.

IdSmallGroup is not available for this size.

Even if I only barely know what "rank" and "p-class" are, 2045 on that list stands out. Is there any other way to describe it? For example, is it the Sylow subgroup of any simple group?