SglPPow is a package which extends the Small Groups Library. Currently the Small Groups Library gives access to the following groups:
This package gives access to the groups of order p7 for p>11, and to the groups of order 38. The groups of order 38 have been determined by Michael Vaughan-Lee. The groups of order p7 for p>11 are available via Bettina Eick and Michael Vaughan-Lee's database of the nilpotent Lie rings of order pk for k≤7 and p>3. These groups are obtained from the Lie rings using the implementation of the Baker-Campbell-Hausdorff formula in the LieRing package. To access the groups of order p7 for p>11 you additionlly need Bettina Eick and Michael Vaughan-Lee's package LiePRing, and Willem de Graaf and Serena Cicalos's package LieRing.
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