Small group number 62 of order 243

G = E27xV9 is Direct product E27 x C_3 x C_3

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

The 40 maximal subgroups are: E27xC3 (36x), V81 (4x).

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

At present no information on the cohomology ring.


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