Number of selected skew morphism classes of C_729 is 0
Total number of skew morphisms of C_729 is 59050
Total number of skew morphism classes of C_729 is 37
Total number of automorphisms of C_729 is 486

1. Skew morphsim class of size 1 #
     
     of order 1 √
     with kernel of order 729
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

2. Skew morphsim class of size 162 #
     
     of order 486 √
     with kernel of order 729
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

3. Skew morphsim class of size 162 #
     
     of order 243 √
     with kernel of order 729
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

4. Skew morphsim class of size 54 #
     
     of order 162 √
     with kernel of order 729
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

5. Skew morphsim class of size 54 #
     
     of order 81 √
     with kernel of order 729
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

6. Skew morphsim class of size 18 #
     
     of order 54 √
     with kernel of order 729
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

7. Skew morphsim class of size 18 #
     
     of order 27 √
     with kernel of order 729
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

8. Skew morphsim class of size 6 #
     
     of order 18 √
     with kernel of order 729
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

9. Skew morphsim class of size 6 #
     
     of order 9 √
     with kernel of order 729
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

10. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 729
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

11. Skew morphsim class of size 2 #
      
      of order 3 √
      with kernel of order 729
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

12. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 729
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

13. Skew morphsim class of size 324 #
      
      of order 243 √
      with kernel of order 243
      and smallest kernel generator 3
      and power function values [ 1, 82, 163 ] #
      and with periodicity 1
    
    

14. Skew morphsim class of size 108 #
      
      of order 81 √
      with kernel of order 243
      and smallest kernel generator 3
      and power function values [ 1, 28, 55 ] #
      and with periodicity 1
    
    

15. Skew morphsim class of size 36 #
      
      of order 27 √
      with kernel of order 243
      and smallest kernel generator 3
      and power function values [ 1, 10, 19 ] #
      and with periodicity 1
    
    

16. Skew morphsim class of size 12 #
      
      of order 9 √
      with kernel of order 243
      and smallest kernel generator 3
      and power function values [ 1, 4, 7 ] #
      and with periodicity 1
    
    

17. Skew morphsim class of size 324 #
      
      of order 81 √
      with kernel of order 81
      and smallest kernel generator 9
      and power function values [ 1, 10, 19, 28, 37, 46, 55, 64, 73 ] #
      and with periodicity 1
    
    

18. Skew morphsim class of size 108 #
      
      of order 27 √
      with kernel of order 81
      and smallest kernel generator 9
      and power function values [ 1, 4, 16, 10, 13, 25, 19, 22, 7 ] #
      and with periodicity 1
    
    

19. Skew morphsim class of size 4 #
      
      of order 6 √
      with kernel of order 243
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ] #
      and with periodicity 2
    
    

20. Skew morphsim class of size 12 #
      
      of order 18 √
      with kernel of order 243
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ] #
      and with periodicity 2
    
    

21. Skew morphsim class of size 36 #
      
      of order 18 √
      with kernel of order 81
      and smallest kernel generator 9
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17 ] #
      and with periodicity 2
    
    

22. Skew morphsim class of size 36 #
      
      of order 54 √
      with kernel of order 243
      and smallest kernel generator 3
      and power function values [ 1, 19, 37 ] #
      and with periodicity 2
    
    

23. Skew morphsim class of size 108 #
      
      of order 54 √
      with kernel of order 81
      and smallest kernel generator 9
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49 ] #
      and with periodicity 2
    
    

24. Skew morphsim class of size 324 #
      
      of order 54 √
      with kernel of order 27
      and smallest kernel generator 27
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53 ] #
      and with periodicity 2
    
    

25. Skew morphsim class of size 972 #
      
      of order 81 √
      with kernel of order 27
      and smallest kernel generator 27
      and power function values [ 1, 4, 16, 64, 13, 52, 46, 22, 7, 28, 31, 43, 10, 40, 79, 73, 49, 34, 55, 58, 70, 37, 67, 25, 19, 76, 61 ] #
      and with periodicity 3
    
    

26. Skew morphsim class of size 108 #
      
      of order 162 √
      with kernel of order 243
      and smallest kernel generator 3
      and power function values [ 1, 55, 109 ] #
      and with periodicity 2
    
    

27. Skew morphsim class of size 324 #
      
      of order 162 √
      with kernel of order 81
      and smallest kernel generator 9
      and power function values [ 1, 19, 37, 55, 73, 91, 109, 127, 145 ] #
      and with periodicity 2
    
    

28. Skew morphsim class of size 972 #
      
      of order 162 √
      with kernel of order 27
      and smallest kernel generator 27
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49, 55, 61, 67, 73, 79, 85, 91, 97, 103, 109, 115, 121, 127, 133, 139, 145, 151, 157 ] #
      and with periodicity 6
    
    

29. Skew morphsim class of size 972 #
      
      of order 243 √
      with kernel of order 81
      and smallest kernel generator 9
      and power function values [ 1, 28, 55, 82, 109, 136, 163, 190, 217 ] #
      and with periodicity 3
    
    

30. Skew morphsim class of size 2916 #
      
      of order 243 √
      with kernel of order 27
      and smallest kernel generator 27
      and power function values [ 1, 10, 100, 28, 37, 127, 55, 64, 154, 82, 91, 181, 109, 118, 208, 136, 145, 235, 163, 172, 19, 190, 199, 46, 217, 226, 73 ] #
      and with periodicity 9
    
    

31. Skew morphsim class of size 324 #
      
      of order 486 √
      with kernel of order 243
      and smallest kernel generator 3
      and power function values [ 1, 163, 325 ] #
      and with periodicity 2
    
    

32. Skew morphsim class of size 972 #
      
      of order 486 √
      with kernel of order 81
      and smallest kernel generator 9
      and power function values [ 1, 55, 109, 163, 217, 271, 325, 379, 433 ] #
      and with periodicity 6
    
    

33. Skew morphsim class of size 2916 #
      
      of order 486 √
      with kernel of order 27
      and smallest kernel generator 27
      and power function values [ 1, 19, 37, 55, 73, 91, 109, 127, 145, 163, 181, 199, 217, 235, 253, 271, 289, 307, 325, 343, 361, 379, 397, 415, 433, 451, 469 ] #
      and with periodicity 18
    
    

34. Skew morphsim class of size 2916 #
      
      of order 162 √
      with kernel of order 9
      and smallest kernel generator 81
      and power function values [ 1, 129, 23, 7, 81, 83, 13, 33, 143, 19, 147, 41, 25, 99, 101, 31, 51, 161, 37, 3, 59, 43, 117, 119, 49, 69, 17, 55, 21, 77, 61, 135, 137, 67, 87, 35, 73, 39, 95, 79, 153, 155, 85, 105, 53, 91, 57, 113, 97, 9, 11, 103, 123, 71, 109, 75, 131, 115, 27, 29, 121, 141, 89, 127, 93, 149, 133, 45, 47, 139, 159, 107, 145, 111, 5, 151, 63, 65, 157, 15, 125 ] #
      and with periodicity 18
    
    

35. Skew morphsim class of size 8748 #
      
      of order 243 √
      with kernel of order 9
      and smallest kernel generator 81
      and power function values [ 1, 148, 196, 10, 22, 16, 100, 220, 160, 28, 13, 142, 37, 130, 205, 127, 85, 106, 55, 121, 88, 64, 238, 151, 154, 193, 52, 82, 229, 34, 91, 103, 97, 181, 58, 241, 109, 94, 223, 118, 211, 43, 208, 166, 187, 136, 202, 169, 145, 76, 232, 235, 31, 133, 163, 67, 115, 172, 184, 178, 19, 139, 79, 190, 175, 61, 199, 49, 124, 46, 4, 25, 217, 40, 7, 226, 157, 70, 73, 112, 214 ] #
      and with periodicity 27
    
    

36. Skew morphsim class of size 8748 #
      
      of order 486 √
      with kernel of order 9
      and smallest kernel generator 81
      and power function values [ 1, 139, 61, 253, 229, 475, 19, 319, 403, 271, 409, 331, 37, 13, 259, 289, 103, 187, 55, 193, 115, 307, 283, 43, 73, 373, 457, 325, 463, 385, 91, 67, 313, 343, 157, 241, 109, 247, 169, 361, 337, 97, 127, 427, 25, 379, 31, 439, 145, 121, 367, 397, 211, 295, 163, 301, 223, 415, 391, 151, 181, 481, 79, 433, 85, 7, 199, 175, 421, 451, 265, 349, 217, 355, 277, 469, 445, 205, 235, 49, 133 ] #
      and with periodicity 54
    
    

37. Skew morphsim class of size 26244 #
      
      of order 486 √
      with kernel of order 3
      and smallest kernel generator 243
      and power function values [ 1, 141, 5, 349, 417, 371, 319, 315, 359, 397, 321, 455, 97, 435, 173, 391, 171, 485, 307, 15, 419, 331, 453, 461, 463, 27, 125, 217, 195, 383, 79, 471, 263, 49, 369, 251, 127, 375, 347, 313, 3, 65, 121, 225, 377, 37, 69, 311, 61, 21, 353, 193, 81, 17, 433, 249, 275, 295, 39, 155, 265, 423, 143, 343, 429, 239, 43, 57, 443, 337, 279, 269, 253, 123, 203, 277, 75, 245, 409, 135, 395, 163, 303, 167, 25, 93, 47, 481, 477, 35, 73, 483, 131, 259, 111, 335, 67, 333, 161, 469, 177, 95, 7, 129, 137, 139, 189, 287, 379, 357, 59, 241, 147, 425, 211, 45, 413, 289, 51, 23, 475, 165, 227, 283, 387, 53, 199, 231, 473, 223, 183, 29, 355, 243, 179, 109, 411, 437, 457, 201, 317, 427, 99, 305, 19, 105, 401, 205, 219, 119, 13, 441, 431, 415, 285, 365, 439, 237, 407, 85, 297, 71, 325, 465, 329, 187, 255, 209, 157, 153, 197, 235, 159, 293, 421, 273, 11, 229, 9, 323, 145, 339, 257, 169, 291, 299, 301, 351, 449, 55, 33, 221, 403, 309, 101, 373, 207, 89, 451, 213, 185, 151, 327, 389, 445, 63, 215, 361, 393, 149, 385, 345, 191, 31, 405, 341, 271, 87, 113, 133, 363, 479, 103, 261, 467, 181, 267, 77, 367, 381, 281, 175, 117, 107, 91, 447, 41, 115, 399, 83, 247, 459, 233 ] #
      and with periodicity 162