Quiz:Subgroup structure of symmetric group:S3

See subgroup structure of symmetric group:S3 for background information.

Basic stuff
Summary table on the structure of subgroups: View the lattice of subgroups as a picture:

{What are the possible orders of subgroups of the symmetric group of degree three? - 1 and 6 only - 1, 2, and 6 only - 1, 3, and 6 only + 1, 2, 3, and 6 only - 1, 4, and 6 only - 1, 2, 3, 4, 5, and 6 only
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{What are the possible orders of normal subgroups of the symmetric group of degree three? - 1 and 6 only - 1, 2, and 6 only + 1, 3, and 6 only - 1, 2, 3, and 6 only - 1, 4, and 6 only - 1, 2, 3, 4, 5, and 6 only
 * type=""}

{What are the possible orders of quotient groups of the symmetric group of degree three? - 1 and 6 only + 1, 2, and 6 only - 1, 3, and 6 only - 1, 2, 3, and 6 only - 1, 4, and 6 only - 1, 2, 3, 4, 5, and 6 only
 * type=""}