Number of selected skew morphism classes of C_81 is 0
Total number of skew morphisms of C_81 is 730
Total number of skew morphism classes of C_81 is 17
Total number of automorphisms of C_81 is 54

1. Skew morphsim class of size 1 #
     
     of order 1 √
     with kernel of order 81
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

2. Skew morphsim class of size 18 #
     
     of order 54 √
     with kernel of order 81
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

3. Skew morphsim class of size 18 #
     
     of order 27 √
     with kernel of order 81
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

4. Skew morphsim class of size 6 #
     
     of order 18 √
     with kernel of order 81
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

5. Skew morphsim class of size 6 #
     
     of order 9 √
     with kernel of order 81
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

6. Skew morphsim class of size 2 #
     
     of order 6 √
     with kernel of order 81
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

7. Skew morphsim class of size 2 #
     
     of order 3 √
     with kernel of order 81
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

8. Skew morphsim class of size 1 #
     
     of order 2 √
     with kernel of order 81
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

9. Skew morphsim class of size 36 #
     
     of order 27 √
     with kernel of order 27
     and smallest kernel generator 3
     and power function values [ 1, 10, 19 ] #
     and with periodicity 1
   
   

10. Skew morphsim class of size 12 #
      
      of order 9 √
      with kernel of order 27
      and smallest kernel generator 3
      and power function values [ 1, 4, 7 ] #
      and with periodicity 1
    
    

11. Skew morphsim class of size 4 #
      
      of order 6 √
      with kernel of order 27
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ] #
      and with periodicity 2
    
    

12. Skew morphsim class of size 12 #
      
      of order 18 √
      with kernel of order 27
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ] #
      and with periodicity 2
    
    

13. Skew morphsim class of size 36 #
      
      of order 18 √
      with kernel of order 9
      and smallest kernel generator 9
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17 ] #
      and with periodicity 2
    
    

14. Skew morphsim class of size 108 #
      
      of order 27 √
      with kernel of order 9
      and smallest kernel generator 9
      and power function values [ 1, 4, 16, 10, 13, 25, 19, 22, 7 ] #
      and with periodicity 3
    
    

15. Skew morphsim class of size 36 #
      
      of order 54 √
      with kernel of order 27
      and smallest kernel generator 3
      and power function values [ 1, 19, 37 ] #
      and with periodicity 2
    
    

16. Skew morphsim class of size 108 #
      
      of order 54 √
      with kernel of order 9
      and smallest kernel generator 9
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49 ] #
      and with periodicity 6
    
    

17. Skew morphsim class of size 324 #
      
      of order 54 √
      with kernel of order 3
      and smallest kernel generator 27
      and power function values [ 1, 33, 5, 25, 39, 47, 49, 45, 35, 19, 51, 23, 43, 3, 11, 13, 9, 53, 37, 15, 41, 7, 21, 29, 31, 27, 17 ] #
      and with periodicity 18