A proper subgroup is a proper subset of group elements of a group that satisfies the four group requirements. " is a proper subgroup of " is written . The group order of any subgroup of a group of group order must be a divisor of .

# Proper Subgroup

## See also

Group, Subgroup## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Proper Subgroup."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/ProperSubgroup.html