Group Syl2U38 of order 512

G = Syl2U38 is Sylow 2-subgroup of the unitary group U_3(8)

G has 6 minimal generators, rank 3 and exponent 4. The centre has rank 3.

There is one conjugacy class of maximal elementary abelian subgroups. Each maximal elementary abelian has rank 3.

At present no information on the cohomology ring.


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