Small group number 1757 of order 128

G is the group 128gp1757

G has 4 minimal generators, rank 4 and exponent 4. The centre has rank 1.

The 15 maximal subgroups are: 64gp138 (4x), 64gp139 (4x), 64gp206 (3x), 64gp266, 64gp91 (3x).

There are 11 conjugacy classes of maximal elementary abelian subgroups. Their ranks are: 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4.

At present no information on the cohomology ring.


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