Small group number 47 of order 243

G is the group 243gp47

G has 3 minimal generators, rank 3 and exponent 9. The centre has rank 2.

The 13 maximal subgroups are: M27xC3 (4x), Ab(9,9), 81gp4 (8x).

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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