Only 4 of the 56092 groups of order 256 are listed.
Only 2 of the groups listed have been completely calculated.
To the incomplete calculations
Small group number 6661 of order 256 Sylow 2-group of Symplectic group S4(7)
Small group number 6665 of order 256 Sylow 2-group of 2A_11 and of Ly
Small group number 299 of order 256 **INCOMPLETE**
Small group number 8935 of order 256 Sylow 2-group of Symplectic group S4(4) **INCOMPLETE**