SglPPow is a package which extends the Small Groups Library. Currently the Small Groups Library gives access to the following groups:

`(1)`- Those of order at most 2000 except 1024 (423,164,062 groups);
`(2)`- Those of cubefree order at most 50,000 (395,703 groups);
`(3)`- Those of order
`p`for the primes^{7}`p=3,5,7,11`(907,489 groups); `(4)`- Those of order
`p`for^{n}`n≤6`and all primes`p`; `(5)`- Those of order
`pq`where^{n}`q`divides^{n}`2`,^{8}`3`,^{6}`5`or^{5}`7`and^{4}`p`is an arbitrary prime not equal to`q`; `(6)`- Those of squarefree order;
`(7)`- Those whose order factorizes into at most 3 primes.

This package gives access to the groups of order `p ^{7}`
for

Acknowlegdements: The authors thank Max Horn for help with general framework of GAP programms to extend the Small Groups Library.

sglppow manual

Dezember 2014