Is $A_5$ the only finite non abelian simple group whose order is not divisible by 8?
If not, what is the complete set of finite non abelian simple groups whose order is not divisible by 8?
Is $A_5$ the only finite non abelian simple group whose order is not divisible by 8?
If not, what is the complete set of finite non abelian simple groups whose order is not divisible by 8?
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There are infinitely many: the groups ${\rm PSL}(2,q)$ with $q \equiv \pm 3 \bmod 8$.