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10 cards from this deck
Subset of a group that forms a group under same operation
Subgroup containing only the identity element
Any subgroup that is not the entire group itself
NICE: Non-empty, Identity, Closure, Inverses
One (a single counter-example is sufficient)
Order of every subgroup divides the order of the group
The number of elements it contains
Period of any element is a factor of the order of GGG
All subgroups must contain the identity element
Must be self-inverse
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