David J. Green

Cohomology
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Singular

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The Cohomology of the Groups of Order 81

In total, there are 15 groups of order 81. The total computation time with the most recent version of our program was 1:54 min using Sage 4.0 with Singular 3-1-0 on a Dual Core AMD Opteron(tm) Processor 270 (1.8 GHz).

Groups numbered according to the Small Groups library

Groups with a custom name

Central product E27 * C_9

Direct product E27 x C_3

Direct product M27 x C_3

Modular group of order 81

Sylow 3-subgroup of A_9

Sylow 3-subgroup of U_3(8)