What does the notation S_4(2) mean?

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krishna mohan
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Hi...

Could someone tell me what is meant by S_4 (2),S_4(3) etc? These are names of some groups...
 
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I believe it means a sequence at a certain number, partial sum.
 
No...not that..

This is in another context...these are names of some groups...It must mean that the group is related to S_4, the group of all permutations of 4 objects...
But I do not know what the relation is..
 

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