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Jul 7th, 2015
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  1. gap> F:=GF(13);
  2. GF(13)
  3.  
  4. gap> U:=Units(F);
  5. <group of size 12 with 1 generators>
  6.  
  7. gap> Size(U);
  8. 12
  9. gap> IsCyclic(U);
  10. true
  11.  
  12. gap> s:=AllSubgroups(U);
  13. [ <trivial group>, <group of size 2 with 1 generators>,
  14. <group of size 3 with 1 generators>, <group of size 4 with 1 generators>,
  15. <group of size 6 with 2 generators>, <group of size 12 with 1 generators> ]
  16.  
  17. gap> AsList(s[3]);
  18. [ Z(13)^0, Z(13)^8, Z(13)^4 ]
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