n = 1331 = 113

Number of selected skew morphism classes of C1331 is 0
Total number of skew morphisms of C1331 is 122010
Total number of skew morphism classes of C1331 is 22
Total number of automorphisms of C1331 is 1210
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1331
      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
    
    
  2. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 1331
      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
    
    
  3. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1331
      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
    
    
  4. Skew morphsim class of size 10
      
      of order 11
      with kernel of order 1331
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 11
      φ | √φ | φ' | φ11
    
    
  5. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 1331
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 22
      φ | √φ | φ' | φ22
    
    
  6. Skew morphsim class of size 40
      
      of order 55
      with kernel of order 1331
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 55
      φ | √φ | φ' | φ55
    
    
  7. Skew morphsim class of size 40
      
      of order 110
      with kernel of order 1331
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 110
      φ | √φ | φ' | φ110
    
    
  8. Skew morphsim class of size 110
      
      of order 121
      with kernel of order 1331
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 121
      φ | √φ | φ' | φ121
    
    
  9. Skew morphsim class of size 110
      
      of order 242
      with kernel of order 1331
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 242
      φ | √φ | φ' | φ242
    
    
  10. Skew morphsim class of size 440
      
      of order 605
      with kernel of order 1331
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 605
      φ | √φ | φ' | φ605
    
    
  11. Skew morphsim class of size 440
      
      of order 1210
      with kernel of order 1331
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 1210
      φ | √φ | φ' | φ1210
    
    
  12. Skew morphsim class of size 1100
      
      of order 121
      with kernel of order 121
      and smallest kernel generator 11
      and power function values [ 1, 12, 23, 34, 45, 56, 67, 78, 89, 100, 111 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 11
      φ | √φ | φ' | φ|<11>
    
    
  13. Skew morphsim class of size 100
      
      of order 22
      with kernel of order 121
      and smallest kernel generator 11
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  14. Skew morphsim class of size 400
      
      of order 55
      with kernel of order 121
      and smallest kernel generator 11
      and power function values [ 1, 6, 11, 16, 21, 26, 31, 36, 41, 46, 51 ]
      and with periodicity 5
      and with complexity 3
      and with auto-order 5
      φ | √φ | φ' | φ5
    
    
  15. Skew morphsim class of size 400
      
      of order 110
      with kernel of order 121
      and smallest kernel generator 11
      and power function values [ 1, 11, 21, 31, 41, 51, 61, 71, 81, 91, 101 ]
      and with periodicity 10
      and with complexity 3
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    
  16. Skew morphsim class of size 1100
      
      of order 242
      with kernel of order 121
      and smallest kernel generator 11
      and power function values [ 1, 23, 45, 67, 89, 111, 133, 155, 177, 199, 221 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  17. Skew morphsim class of size 4400
      
      of order 605
      with kernel of order 121
      and smallest kernel generator 11
      and power function values [ 1, 56, 111, 166, 221, 276, 331, 386, 441, 496, 551 ]
      and with periodicity 5
      and with complexity 3
      and with auto-order 5
      φ | √φ | φ' | φ5
    
    
  18. Skew morphsim class of size 4400
      
      of order 1210
      with kernel of order 121
      and smallest kernel generator 11
      and power function values [ 1, 111, 221, 331, 441, 551, 661, 771, 881, 991, 1101 ]
      and with periodicity 10
      and with complexity 3
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    
  19. Skew morphsim class of size 12100
      
      of order 242
      with kernel of order 11
      and smallest kernel generator 121
      and power function values [ 1, 3, 115, 95, 185, 143, 211, 147, 193, 107, 131, 23, 25, 137, 117, 207, 165, 233, 169, 215, 129, 153, 45, 47, 159, 139, 229, 187, 13, 191, 237, 151, 175, 67, 69, 181, 161, 9, 209, 35, 213, 17, 173, 197, 89, 91, 203, 183, 31, 231, 57, 235, 39, 195, 219, 111, 113, 225, 205, 53, 11, 79, 15, 61, 217, 241, 133, 135, 5, 227, 75, 33, 101, 37, 83, 239, 21, 155, 157, 27, 7, 97, 55, 123, 59, 105, 19, 43, 177, 179, 49, 29, 119, 77, 145, 81, 127, 41, 65, 199, 201, 71, 51, 141, 99, 167, 103, 149, 63, 87, 221, 223, 93, 73, 163, 121, 189, 125, 171, 85, 109 ]
      and with periodicity 22
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  20. Skew morphsim class of size 48400
      
      of order 605
      with kernel of order 11
      and smallest kernel generator 121
      and power function values [ 1, 6, 396, 566, 516, 246, 361, 256, 536, 596, 436, 56, 61, 451, 16, 571, 301, 416, 311, 591, 46, 491, 111, 116, 506, 71, 21, 356, 471, 366, 41, 101, 546, 166, 171, 561, 126, 76, 411, 526, 421, 96, 156, 601, 221, 226, 11, 181, 131, 466, 581, 476, 151, 211, 51, 276, 281, 66, 236, 186, 521, 31, 531, 206, 266, 106, 331, 336, 121, 291, 241, 576, 86, 586, 261, 321, 161, 386, 391, 176, 346, 296, 26, 141, 36, 316, 376, 216, 441, 446, 231, 401, 351, 81, 196, 91, 371, 431, 271, 496, 501, 286, 456, 406, 136, 251, 146, 426, 486, 326, 551, 556, 341, 511, 461, 191, 306, 201, 481, 541, 381 ]
      and with periodicity 55
      and with complexity 5
      and with auto-order 5
      φ | √φ | φ' | φ5
    
    
  21. Skew morphsim class of size 48400
      
      of order 1210
      with kernel of order 11
      and smallest kernel generator 121
      and power function values [ 1, 11, 1011, 581, 1141, 271, 391, 291, 1181, 641, 1091, 111, 121, 1121, 691, 41, 381, 501, 401, 81, 751, 1201, 221, 231, 21, 801, 151, 491, 611, 511, 191, 861, 101, 331, 341, 131, 911, 261, 601, 721, 621, 301, 971, 211, 441, 451, 241, 1021, 371, 711, 831, 731, 411, 1081, 321, 551, 561, 351, 1131, 481, 821, 941, 841, 521, 1191, 431, 661, 671, 461, 31, 591, 931, 1051, 951, 631, 91, 541, 771, 781, 571, 141, 701, 1041, 1161, 1061, 741, 201, 651, 881, 891, 681, 251, 811, 1151, 61, 1171, 851, 311, 761, 991, 1001, 791, 361, 921, 51, 171, 71, 961, 421, 871, 1101, 1111, 901, 471, 1031, 161, 281, 181, 1071, 531, 981 ]
      and with periodicity 110
      and with complexity 5
      and with auto-order 10
      φ | √φ | φ' | φ10