On Ш-rigidity of groups of order p6p6

Let G   be a group and Outc(G)Outc(G) be the group of its class-preserving outer automorphisms. We compute |Outc(G)||Outc(G)| for all the groups G   of order p6p6, where p is an odd prime. As an application, we observe that for most of the Ш-rigid groups G   of order p6p6, its Bogomolov multiplier B0(G)B0(G) is zero.