Quiz:Subgroup structure of symmetric group:S5

See subgroup structure of symmetric group:S5 for background information and more details.

Basic stuff
Summary table on the structure of subgroups:

{For which of the following divisors of 120 does there not exist a subgroup of the symmetric group of degree five with that as order? - 12 - 20 - 24 + 30 - 60
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{What is the smallest possible order of a group that is not isomorphic to any subgroup of the symmetric group of degree five? - 5 - 6 + 7 - 8 - 9
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{What is the smallest possible order of a group that is isomorphic to subgroups in two distinct conjugacy classes of subgroups in the symmetric group of degree five? + 2 - 3 - 4 - 5 - 6
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