Exceptional groups of order $p^6$ for primes $p\ge 5$

E. A. O'Brien, Sunil Kumar Prajapati, Ayush Udeep

The minimal faithful permutation degree $\mu (G)$ of a finite group $G$ is the least integer $n$ such that $G$ is isomorphic to a subgroup of the symmetric group $S_n$. If $G$ has a n…