Subgroup structure of alternating group:A5

This article discusses the subgroup structure of alternating group:A5, which is the alternating group on the set $$\{ 1, 2,3,4,5\}$$. The group has order 60.

Table classifying subgroups up to automorphisms
Note that A5 is simple, and hence no proper nontrivial subgroup is normal or subnormal.