Number of selected skew morphism classes of C1250 is 0
Total number of skew morphisms of C1250 is 106772
Total number of skew morphism classes of C1250 is 37
Total number of automorphisms of C1250 is 500

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 1250
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 1250
     φ | √φ | φ' | φ|<1250>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 1250
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 2
     φ | √φ | φ' | φ2
   
   

3. Skew morphsim class of size 2
     
     of order 4
     with kernel of order 1250
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 4
     φ | √φ | φ' | φ4
   
   

4. Skew morphsim class of size 4
     
     of order 5
     with kernel of order 1250
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 5
     φ | √φ | φ' | φ5
   
   

5. Skew morphsim class of size 4
     
     of order 10
     with kernel of order 1250
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 10
     φ | √φ | φ' | φ10
   
   

6. Skew morphsim class of size 8
     
     of order 20
     with kernel of order 1250
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 20
     φ | √φ | φ' | φ20
   
   

7. Skew morphsim class of size 20
     
     of order 25
     with kernel of order 1250
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 25
     φ | √φ | φ' | φ25
   
   

8. Skew morphsim class of size 20
     
     of order 50
     with kernel of order 1250
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 50
     φ | √φ | φ' | φ50
   
   

9. Skew morphsim class of size 40
     
     of order 100
     with kernel of order 1250
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 100
     φ | √φ | φ' | φ100
   
   

10. Skew morphsim class of size 100
      
      of order 125
      with kernel of order 1250
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 125
      φ | √φ | φ' | φ125
    
    

11. Skew morphsim class of size 100
      
      of order 250
      with kernel of order 1250
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 250
      φ | √φ | φ' | φ250
    
    

12. Skew morphsim class of size 200
      
      of order 500
      with kernel of order 1250
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 500
      φ | √φ | φ' | φ500
    
    

13. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 625
      and smallest kernel generator 2
      and power function values [ 1, 4 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

14. Skew morphsim class of size 20
      
      of order 25
      with kernel of order 625
      and smallest kernel generator 2
      and power function values [ 1, 24 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

15. Skew morphsim class of size 100
      
      of order 125
      with kernel of order 625
      and smallest kernel generator 2
      and power function values [ 1, 124 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

16. Skew morphsim class of size 500
      
      of order 625
      with kernel of order 625
      and smallest kernel generator 2
      and power function values [ 1, 624 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

17. Skew morphsim class of size 80
      
      of order 25
      with kernel of order 250
      and smallest kernel generator 5
      and power function values [ 1, 6, 11, 16, 21 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 5
      φ | √φ | φ' | φ|<5>
    
    

18. Skew morphsim class of size 400
      
      of order 125
      with kernel of order 250
      and smallest kernel generator 5
      and power function values [ 1, 26, 51, 76, 101 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 5
      φ | √φ | φ' | φ|<5>
    
    

19. Skew morphsim class of size 80
      
      of order 25
      with kernel of order 125
      and smallest kernel generator 10
      and power function values [ 1, 4, 16, 14, 6, 24, 21, 9, 11, 19 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 10
      φ | √φ | φ' | φ|<10>
    
    

20. Skew morphsim class of size 400
      
      of order 125
      with kernel of order 125
      and smallest kernel generator 10
      and power function values [ 1, 24, 76, 74, 26, 124, 101, 49, 51, 99 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 10
      φ | √φ | φ' | φ|<10>
    
    

21. Skew morphsim class of size 16
      
      of order 10
      with kernel of order 250
      and smallest kernel generator 5
      and power function values [ 1, 3, 5, 7, 9 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

22. Skew morphsim class of size 32
      
      of order 20
      with kernel of order 250
      and smallest kernel generator 5
      and power function values [ 1, 5, 9, 13, 17 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

23. Skew morphsim class of size 80
      
      of order 50
      with kernel of order 250
      and smallest kernel generator 5
      and power function values [ 1, 11, 21, 31, 41 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

24. Skew morphsim class of size 400
      
      of order 50
      with kernel of order 50
      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
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

25. Skew morphsim class of size 160
      
      of order 100
      with kernel of order 250
      and smallest kernel generator 5
      and power function values [ 1, 21, 41, 61, 81 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

26. Skew morphsim class of size 800
      
      of order 100
      with kernel of order 50
      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
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

27. Skew morphsim class of size 2000
      
      of order 125
      with kernel of order 50
      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
      and with complexity 3
      and with auto-order 5
      φ | √φ | φ' | φ5
    
    

28. Skew morphsim class of size 400
      
      of order 250
      with kernel of order 250
      and smallest kernel generator 5
      and power function values [ 1, 51, 101, 151, 201 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

29. Skew morphsim class of size 2000
      
      of order 250
      with kernel of order 50
      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
      and with complexity 3
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

30. Skew morphsim class of size 800
      
      of order 500
      with kernel of order 250
      and smallest kernel generator 5
      and power function values [ 1, 101, 201, 301, 401 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

31. Skew morphsim class of size 4000
      
      of order 500
      with kernel of order 50
      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
      and with complexity 3
      and with auto-order 20
      φ | √φ | φ' | φ20
    
    

32. Skew morphsim class of size 2000
      
      of order 625
      with kernel of order 125
      and smallest kernel generator 10
      and power function values [ 1, 124, 501, 249, 376, 374, 251, 499, 126, 624 ]
      and with periodicity 5
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

33. Skew morphsim class of size 2000
      
      of order 125
      with kernel of order 25
      and smallest kernel generator 50
      and power function values [ 1, 4, 66, 14, 106, 49, 121, 109, 111, 69, 76, 54, 16, 64, 56, 99, 71, 34, 61, 119, 26, 104, 91, 114, 6, 24, 21, 84, 11, 44, 101, 29, 41, 39, 81, 74, 96, 9, 86, 94, 51, 79, 116, 89, 31, 124, 46, 59, 36, 19 ]
      and with periodicity 5
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

34. Skew morphsim class of size 10000
      
      of order 625
      with kernel of order 25
      and smallest kernel generator 50
      and power function values [ 1, 24, 601, 49, 576, 74, 551, 99, 526, 124, 501, 149, 476, 174, 451, 199, 426, 224, 401, 249, 376, 274, 351, 299, 326, 324, 301, 349, 276, 374, 251, 399, 226, 424, 201, 449, 176, 474, 151, 499, 126, 524, 101, 549, 76, 574, 51, 599, 26, 624 ]
      and with periodicity 25
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

35. Skew morphsim class of size 10000
      
      of order 250
      with kernel of order 10
      and smallest kernel generator 125
      and power function values [ 1, 3, 175, 117, 179, 211, 63, 85, 127, 39, 171, 123, 245, 137, 149, 131, 183, 155, 147, 9, 91, 243, 65, 157, 119, 51, 53, 225, 167, 229, 11, 113, 135, 177, 89, 221, 173, 45, 187, 199, 181, 233, 205, 197, 59, 141, 43, 115, 207, 169, 101, 103, 25, 217, 29, 61, 163, 185, 227, 139, 21, 223, 95, 237, 249, 231, 33, 5, 247, 109, 191, 93, 165, 7, 219, 151, 153, 75, 17, 79, 111, 213, 235, 27, 189, 71, 23, 145, 37, 49, 31, 83, 55, 47, 159, 241, 143, 215, 57, 19, 201, 203, 125, 67, 129, 161, 13, 35, 77, 239, 121, 73, 195, 87, 99, 81, 133, 105, 97, 209, 41, 193, 15, 107, 69 ]
      and with periodicity 50
      and with complexity 7
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

36. Skew morphsim class of size 20000
      
      of order 500
      with kernel of order 10
      and smallest kernel generator 125
      and power function values [ 1, 5, 249, 333, 357, 421, 125, 69, 353, 77, 341, 245, 389, 373, 297, 261, 365, 209, 393, 17, 181, 485, 29, 413, 237, 101, 105, 349, 433, 457, 21, 225, 169, 453, 177, 441, 345, 489, 473, 397, 361, 465, 309, 493, 117, 281, 85, 129, 13, 337, 201, 205, 449, 33, 57, 121, 325, 269, 53, 277, 41, 445, 89, 73, 497, 461, 65, 409, 93, 217, 381, 185, 229, 113, 437, 301, 305, 49, 133, 157, 221, 425, 369, 153, 377, 141, 45, 189, 173, 97, 61, 165, 9, 193, 317, 481, 285, 329, 213, 37, 401, 405, 149, 233, 257, 321, 25, 469, 253, 477, 241, 145, 289, 273, 197, 161, 265, 109, 293, 417, 81, 385, 429, 313, 137 ]
      and with periodicity 100
      and with complexity 7
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

37. Skew morphsim class of size 50000
      
      of order 625
      with kernel of order 5
      and smallest kernel generator 250
      and power function values [ 1, 4, 21, 9, 316, 364, 136, 569, 606, 124, 351, 404, 496, 284, 291, 514, 236, 594, 206, 24, 76, 179, 346, 559, 266, 39, 336, 619, 431, 549, 426, 579, 196, 209, 241, 189, 436, 19, 31, 449, 151, 354, 46, 484, 216, 339, 536, 44, 256, 349, 501, 129, 521, 134, 191, 489, 11, 69, 481, 249, 226, 529, 371, 409, 166, 14, 111, 94, 81, 149, 576, 304, 221, 59, 141, 164, 211, 119, 306, 49, 301, 79, 71, 334, 116, 314, 311, 144, 531, 574, 26, 479, 546, 609, 91, 464, 411, 169, 131, 474, 376, 254, 396, 259, 66, 614, 511, 194, 356, 374, 101, 29, 246, 534, 41, 139, 611, 219, 581, 274, 451, 429, 96, 184, 16, 289, 86, 244, 181, 174, 176, 204, 571, 459, 616, 439, 186, 269, 406, 74, 526, 604, 421, 109, 591, 589, 286, 294, 6, 599, 251, 379, 271, 384, 566, 114, 386, 319, 231, 499, 601, 154, 121, 34, 541, 264, 486, 344, 456, 399, 326, 554, 596, 309, 516, 414, 586, 369, 56, 299, 51, 329, 446, 584, 491, 564, 61, 394, 281, 199, 401, 104, 296, 234, 466, 89, 161, 419, 506, 99, 126, 504, 146, 509, 441, 239, 261, 444, 106, 624, 476, 279, 621, 159, 416, 389, 361, 469, 331, 524, 201, 54, 471, 434, 391, 539, 461, 494, 556, 424, 551, 454, 321, 84, 366, 64, 561, 519, 156, 324, 276, 229, 171, 359, 341, 214, 36, 544, 381, 224 ]
      and with periodicity 125
      and with complexity 8
      and with auto-order 2
      φ | √φ | φ' | φ|<2>