On subgroups of the Monster containing A5's

We prove that L2(71) is a subgroup of the Monster and find another new maximal subgroup, L2(19):2. We also classify all classes of subgroups of the Monster isomorphic to A6,L2(11),L2(19),L2(31),L2(71),L3(4),U4(2), and M11 containing 5B elements by looking at groups generated by two A5's intersecting in a D10.