Small group number 8 of order 243

G is the group 243gp8

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

The 4 maximal subgroups are: 81gp3 (4x).

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.


Back to the groups of order 243