FiniteGroupCount

FiniteGroupCount[n] gives the number of finite groups of order n.

Examples

Count finite groups of order 8:

FiniteGroupCount[8]

Compare with Abelian group counts:

Table[{FiniteGroupCount[n], FiniteAbelianGroupCount[n]}, {n, 1, 12}]

Please visit the official Wolfram Language Reference for more details.