About this representation
    
      
        | Group | 
        M12:2 | 
      
      
        | Group generators | 
        Standard generators | 
      
      
        | 
        Dimension | 
        22 | 
      
      
        | 
        Distinguishing letter | 
        a | 
      
      
        | Ring | 
        GF(11) | 
      
      
        | 
        Characteristic | 
        11 | 
      
      
        | 
        Irreducibility information | 
        Absolutely irreducible | 
      
      
        | Contributed
        by | 
        Not recorded | 
      
    
    
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    This representation is available in the following
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    Checks applied
    
      
        | Check | 
        Description | 
        Date | 
        Checked by | 
        Result | 
      
      
        | Presentation | 
        Check against the relations in a
        presentation. If this test passes, then the group is of the
        correct isomorphism type, and the generators are those
        stated. Note that the presentation itself is not checked
        here. | 
        Jul 4, 2006 | 
        certify.pl version 0.05 | 
        Pass | 
      
      
        | Semi-presentation | 
        Check against a semi-presentation. If this
        fails, then the representation is not on standard
        generators, and may generate the wrong group. Note that the
        semi-presentation itself is not checked here. | 
        Jul 4, 2006 | 
        certify.pl version 0.05 | 
        Pass | 
      
      
        | Dimension/field | 
        Check the dimension and field/ring of the
        representation. | 
        Jul 4, 2006 | 
        certify.pl version 0.05 | 
        Pass | 
      
      
        | Files exist | 
        Check whether files exist (where
        stated). | 
        Jul 4, 2006 | 
        certify.pl version 0.05 | 
        Pass | 
      
      
        | Irreducibility | 
        Check the irreducibility type is
        correct. | 
        Jul 5, 2006 | 
        irr.pl v0.2 | 
        Pass |