Maximal Subgroups of the Coxeter Group $W(H_4)$ and Quaternions

Mehmet Koca, Ramazan Koc, Muataz Al-Barwani +1

The largest finite subgroup of O(4) is the noncrystallographic Coxeter group $W(H_4)$ of order 14400. Its derived subgroup is the largest finite subgroup $W(H_4)/Z_2$ of SO(4…