  
  [1X1 [33X[0;0YIntroduction[133X[101X
  
  [33X[0;0Y[5XSglPPow[105X  is  a package which extends the Small Groups Library. Currently the
  Small Groups Library gives access to the following groups:[133X
  
  [31X1[131X   [33X[0;6YThose of order at most 2000 except 1024 (423,164,062 groups);[133X
  
  [31X2[131X   [33X[0;6YThose of cubefree order at most 50,000 (395,703 groups);[133X
  
  [31X3[131X   [33X[0;6YThose of order [22Xp^7[122X for the primes [22Xp=3,5,7,11[122X (907,489 groups);[133X
  
  [31X4[131X   [33X[0;6YThose of order [22Xp^n[122X for [22Xn≤ 6[122X and all primes [22Xp[122X;[133X
  
  [31X5[131X   [33X[0;6YThose of order [22Xpq^n[122X where [22Xq^n[122X divides [22X2^8[122X, [22X3^6[122X, [22X5^5[122X or [22X7^4[122X and [22Xp[122X is an
        arbitrary prime not equal to [22Xq[122X;[133X
  
  [31X6[131X   [33X[0;6YThose of squarefree order;[133X
  
  [31X7[131X   [33X[0;6YThose whose order factorizes into at most 3 primes.[133X
  
  [33X[0;0YThis package gives access to the groups of order [22Xp^7[122X for primes [22Xp>11[122X, and to
  the groups of order [22X3^8[122X.[133X
  
  [33X[0;0YTo  access  the  groups  of  order [22Xp^7[122X for primes [22Xp>11[122X you need the packages
  LiePRing (by Michael Vaughan-Lee and Bettina Eick) and LieRing (by Willem de
  Graaf and Serena Cicalò).[133X
  
  [33X[0;0YThe  groups  of  order  [22X3^8[122X have been determined by Michael Vaughan-Lee. The
  groups  of  order  [22Xp^7[122X for primes [22Xp>11[122X are available via the database of the
  nilpotent  Lie  rings  of  order [22Xp^k[122X for [22Xk≤ 7[122X and primes [22Xp>3[122X in the LiePRing
  package.   These   groups   are  obtained  from  the  Lie  rings  using  the
  implementation  of  the  Baker-Campbell-Hausdorff  formula  in  the  LieRing
  package.[133X
  
  [33X[0;0YAcknowledgements:  The  authors  thank  Max  Horn  for help with the general
  framework of GAP programs used to extend the Small Groups Library.[133X
  
