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?