Groups of order 4096

Statistics at a glance
Since $$4096 = 2^{12}$$ is a prime power, and prime power order implies nilpotent, all groups of this order are nilpotent groups.

GAP implementation
Unfortunately, GAP's SmallGroup library is not available for this order, because the groups have not yet been classified. However individual groups of this order can be constructed with GAP using their presentations or using other means of constructing groups.