Small group number 12 of order 243

G is the group 243gp12

G has 2 minimal generators, rank 3 and exponent 27. The centre has rank 2.

The 4 maximal subgroups are: Ab(9,3,3), Ab(27,3) (3x).

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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