Quiz:Subgroup structure of alternating group:A4

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See subgroup structure of alternating group:A4 for background information.

Basic stuff

Summary table on the structure of subgroups: [SHOW MORE]


View the lattice of subgroups as a picture: [SHOW MORE]

1 Which of the following factors of 12 does not occur as the order of a subgroup of the alternating group of degree four?

1
2
3
4
6

2 Which of the following groups is not isomorphic to any subgroup of the alternating group of degree four?

trivial group
cyclic group:Z2, the cyclic group of order two
cyclic group:Z3, the cyclic group of order three
cyclic group:Z4, the cyclic group of order four
Klein four-group, the non-cyclic group of order four