mongodb - Use $push and $max in aggregate -

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Why can not I use the maximum $ push and $ max in the same operation? 

  ... total ... {$ group: {_id: "$ id", op: {$ push: {"max": {$ max: "$ value"}} }} ...   
.  
 "errmsg": "Exception: Invalid operator '$ max'",   
 
 
 Because  $ max  is a  group operator , it must adhere to the syntax:  
  Field:  Group operator  group operator  in code>   
  expression , such as $ push, $ max, $ min, ... < / P>

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