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Statistics for Database of Groups of Order Dividing 256

Statistics for Database of Groups of Order Dividing 256

The groups of order dividing 64 are stored by order. Thus the length of the sequence gps in these cases is the number of groups of that order:

Order  4     2 groups             
Order  8     5 groups           
Order 16    14 groups            
Order 32    51 groups           
Order 64   267 groups   

The 2328 groups of order 128 are split up according to their generator number, and the length of the sequence gps for the groups having generator number d is the value given below (for non-trivial values of d only):

d = 2      162 groups
d = 3      833 groups
d = 4     1153 groups
d = 5      169 groups
d = 6        9 groups

There are 56092 groups of order 256. The number of d-generator groups for each d in {2, ..., 7} is given below:

d = 2      540 groups
d = 3     6190 groups
d = 4    20241 groups
d = 5    28653 groups
d = 6      456 groups
d = 7       10 groups
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