Number of selected skew morphism classes of C_625 is 0
Total number of skew morphisms of C_625 is 41668
Total number of skew morphism classes of C_625 is 27
Total number of automorphisms of C_625 is 500

1. Skew morphsim class of size 1 #
     
     of order 1 √
     with kernel of order 625
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

2. Skew morphsim class of size 200 #
     
     of order 500 √
     with kernel of order 625
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

3. Skew morphsim class of size 100 #
     
     of order 250 √
     with kernel of order 625
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

4. Skew morphsim class of size 100 #
     
     of order 125 √
     with kernel of order 625
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

5. Skew morphsim class of size 40 #
     
     of order 100 √
     with kernel of order 625
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

6. Skew morphsim class of size 20 #
     
     of order 50 √
     with kernel of order 625
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

7. Skew morphsim class of size 20 #
     
     of order 25 √
     with kernel of order 625
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

8. Skew morphsim class of size 8 #
     
     of order 20 √
     with kernel of order 625
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

9. Skew morphsim class of size 4 #
     
     of order 10 √
     with kernel of order 625
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

10. Skew morphsim class of size 4 #
      
      of order 5 √
      with kernel of order 625
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

11. Skew morphsim class of size 2 #
      
      of order 4 √
      with kernel of order 625
      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 625
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

13. Skew morphsim class of size 400 #
      
      of order 125 √
      with kernel of order 125
      and smallest kernel generator 5
      and power function values [ 1, 26, 51, 76, 101 ] #
      and with periodicity 1
    
    

14. Skew morphsim class of size 80 #
      
      of order 25 √
      with kernel of order 125
      and smallest kernel generator 5
      and power function values [ 1, 6, 11, 16, 21 ] #
      and with periodicity 1
    
    

15. Skew morphsim class of size 16 #
      
      of order 10 √
      with kernel of order 125
      and smallest kernel generator 5
      and power function values [ 1, 3, 5, 7, 9 ] #
      and with periodicity 2
    
    

16. Skew morphsim class of size 32 #
      
      of order 20 √
      with kernel of order 125
      and smallest kernel generator 5
      and power function values [ 1, 5, 9, 13, 17 ] #
      and with periodicity 4
    
    

17. Skew morphsim class of size 80 #
      
      of order 50 √
      with kernel of order 125
      and smallest kernel generator 5
      and power function values [ 1, 11, 21, 31, 41 ] #
      and with periodicity 2
    
    

18. Skew morphsim class of size 400 #
      
      of order 50 √
      with kernel of order 25
      and smallest kernel generator 25
      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 ] #
      and with periodicity 2
    
    

19. Skew morphsim class of size 160 #
      
      of order 100 √
      with kernel of order 125
      and smallest kernel generator 5
      and power function values [ 1, 21, 41, 61, 81 ] #
      and with periodicity 4
    
    

20. Skew morphsim class of size 800 #
      
      of order 100 √
      with kernel of order 25
      and smallest kernel generator 25
      and power function values [ 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, 65, 69, 73, 77, 81, 85, 89, 93, 97 ] #
      and with periodicity 4
    
    

21. Skew morphsim class of size 2000 #
      
      of order 125 √
      with kernel of order 25
      and smallest kernel generator 25
      and power function values [ 1, 6, 36, 91, 46, 26, 31, 61, 116, 71, 51, 56, 86, 16, 96, 76, 81, 111, 41, 121, 101, 106, 11, 66, 21 ] #
      and with periodicity 5
    
    

22. Skew morphsim class of size 400 #
      
      of order 250 √
      with kernel of order 125
      and smallest kernel generator 5
      and power function values [ 1, 51, 101, 151, 201 ] #
      and with periodicity 2
    
    

23. Skew morphsim class of size 2000 #
      
      of order 250 √
      with kernel of order 25
      and smallest kernel generator 25
      and power function values [ 1, 11, 21, 31, 41, 51, 61, 71, 81, 91, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 201, 211, 221, 231, 241 ] #
      and with periodicity 10
    
    

24. Skew morphsim class of size 800 #
      
      of order 500 √
      with kernel of order 125
      and smallest kernel generator 5
      and power function values [ 1, 101, 201, 301, 401 ] #
      and with periodicity 4
    
    

25. Skew morphsim class of size 4000 #
      
      of order 500 √
      with kernel of order 25
      and smallest kernel generator 25
      and power function values [ 1, 21, 41, 61, 81, 101, 121, 141, 161, 181, 201, 221, 241, 261, 281, 301, 321, 341, 361, 381, 401, 421, 441, 461, 481 ] #
      and with periodicity 20
    
    

26. Skew morphsim class of size 10000 #
      
      of order 250 √
      with kernel of order 5
      and smallest kernel generator 125
      and power function values [ 1, 83, 45, 237, 9, 211, 193, 55, 147, 69, 171, 53, 65, 57, 129, 131, 163, 75, 217, 189, 91, 23, 85, 127, 249, 51, 133, 95, 37, 59, 11, 243, 105, 197, 119, 221, 103, 115, 107, 179, 181, 213, 125, 17, 239, 141, 73, 135, 177, 49, 101, 183, 145, 87, 109, 61, 43, 155, 247, 169, 21, 153, 165, 157, 229, 231, 13, 175, 67, 39, 191, 123, 185, 227, 99, 151, 233, 195, 137, 159, 111, 93, 205, 47, 219, 71, 203, 215, 207, 29, 31, 63, 225, 117, 89, 241, 173, 235, 27, 149, 201, 33, 245, 187, 209, 161, 143, 5, 97, 19, 121, 3, 15, 7, 79, 81, 113, 25, 167, 139, 41, 223, 35, 77, 199 ] #
      and with periodicity 50
    
    

27. Skew morphsim class of size 20000 #
      
      of order 500 √
      with kernel of order 5
      and smallest kernel generator 125
      and power function values [ 1, 445, 29, 353, 17, 121, 265, 49, 73, 437, 241, 85, 69, 293, 357, 361, 405, 89, 13, 277, 481, 225, 109, 233, 197, 101, 45, 129, 453, 117, 221, 365, 149, 173, 37, 341, 185, 169, 393, 457, 461, 5, 189, 113, 377, 81, 325, 209, 333, 297, 201, 145, 229, 53, 217, 321, 465, 249, 273, 137, 441, 285, 269, 493, 57, 61, 105, 289, 213, 477, 181, 425, 309, 433, 397, 301, 245, 329, 153, 317, 421, 65, 349, 373, 237, 41, 385, 369, 93, 157, 161, 205, 389, 313, 77, 281, 25, 409, 33, 497, 401, 345, 429, 253, 417, 21, 165, 449, 473, 337, 141, 485, 469, 193, 257, 261, 305, 489, 413, 177, 381, 125, 9, 133, 97 ] #
      and with periodicity 100