Groupprops, The Group Properties Wiki (pre-alpha)
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Number of subgroups
From Groupprops
This article defines an arithmetic function on groups
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Definition
Let G be a group. The number of subgroups of G is the number of subgroups that G has.
Note that the number of subgroups of G is finite if and only if G is a finite group. For full proof, refer: Finitely many subgroups iff finite
