n = 891 = 34·11

Number of selected skew morphism classes of C891 is 0
Total number of skew morphisms of C891 is 7300
Total number of skew morphism classes of C891 is 68
Total number of automorphisms of C891 is 540
  1. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 891
      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
    
    
  2. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 891
      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 4
      
      of order 10
      with kernel of order 891
      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 1
      
      of order 2
      with kernel of order 891
      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
    
    
  5. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  6. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  7. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 9
      φ | √φ | φ' | φ9
    
    
  8. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 891
      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
    
    
  9. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 15
      φ | √φ | φ' | φ15
    
    
  10. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  11. Skew morphsim class of size 18
      
      of order 27
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 27
      φ | √φ | φ' | φ27
    
    
  12. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    
  13. Skew morphsim class of size 24
      
      of order 45
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 45
      φ | √φ | φ' | φ45
    
    
  14. Skew morphsim class of size 18
      
      of order 54
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 54
      φ | √φ | φ' | φ54
    
    
  15. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    
  16. Skew morphsim class of size 72
      
      of order 135
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 135
      φ | √φ | φ' | φ135
    
    
  17. Skew morphsim class of size 72
      
      of order 270
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 270
      φ | √φ | φ' | φ270
    
    
  18. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 891
      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
    
    
  19. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  20. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 891
      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
    
    
  21. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  22. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    
  23. Skew morphsim class of size 18
      
      of order 54
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 54
      φ | √φ | φ' | φ54
    
    
  24. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    
  25. Skew morphsim class of size 72
      
      of order 270
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 270
      φ | √φ | φ' | φ270
    
    
  26. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  27. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  28. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    
  29. Skew morphsim class of size 18
      
      of order 54
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 54
      φ | √φ | φ' | φ54
    
    
  30. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    
  31. Skew morphsim class of size 72
      
      of order 270
      with kernel of order 891
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 270
      φ | √φ | φ' | φ270
    
    
  32. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 297
      and smallest kernel generator 3
      and power function values [ 1, 4, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  33. Skew morphsim class of size 36
      
      of order 27
      with kernel of order 297
      and smallest kernel generator 3
      and power function values [ 1, 10, 19 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  34. Skew morphsim class of size 48
      
      of order 45
      with kernel of order 297
      and smallest kernel generator 3
      and power function values [ 1, 16, 31 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  35. Skew morphsim class of size 144
      
      of order 135
      with kernel of order 297
      and smallest kernel generator 3
      and power function values [ 1, 46, 91 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  36. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 297
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  37. Skew morphsim class of size 36
      
      of order 54
      with kernel of order 297
      and smallest kernel generator 3
      and power function values [ 1, 19, 37 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  38. Skew morphsim class of size 48
      
      of order 90
      with kernel of order 297
      and smallest kernel generator 3
      and power function values [ 1, 31, 61 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  39. Skew morphsim class of size 144
      
      of order 270
      with kernel of order 297
      and smallest kernel generator 3
      and power function values [ 1, 91, 181 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  40. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 297
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  41. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 297
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  42. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 297
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  43. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 297
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  44. Skew morphsim class of size 36
      
      of order 18
      with kernel of order 99
      and smallest kernel generator 9
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  45. Skew morphsim class of size 36
      
      of order 18
      with kernel of order 99
      and smallest kernel generator 9
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  46. Skew morphsim class of size 108
      
      of order 27
      with kernel of order 99
      and smallest kernel generator 9
      and power function values [ 1, 4, 16, 10, 13, 25, 19, 22, 7 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  47. Skew morphsim class of size 16
      
      of order 30
      with kernel of order 297
      and smallest kernel generator 3
      and power function values [ 1, 11, 21 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  48. Skew morphsim class of size 16
      
      of order 30
      with kernel of order 297
      and smallest kernel generator 3
      and power function values [ 1, 11, 21 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  49. Skew morphsim class of size 36
      
      of order 54
      with kernel of order 297
      and smallest kernel generator 3
      and power function values [ 1, 19, 37 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  50. Skew morphsim class of size 36
      
      of order 54
      with kernel of order 297
      and smallest kernel generator 3
      and power function values [ 1, 19, 37 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  51. Skew morphsim class of size 108
      
      of order 54
      with kernel of order 99
      and smallest kernel generator 9
      and power function values [ 1, 7, 49, 19, 25, 13, 37, 43, 31 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  52. Skew morphsim class of size 108
      
      of order 54
      with kernel of order 99
      and smallest kernel generator 9
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  53. Skew morphsim class of size 108
      
      of order 54
      with kernel of order 99
      and smallest kernel generator 9
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  54. Skew morphsim class of size 48
      
      of order 90
      with kernel of order 297
      and smallest kernel generator 3
      and power function values [ 1, 31, 61 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  55. Skew morphsim class of size 48
      
      of order 90
      with kernel of order 297
      and smallest kernel generator 3
      and power function values [ 1, 31, 61 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  56. Skew morphsim class of size 144
      
      of order 90
      with kernel of order 99
      and smallest kernel generator 9
      and power function values [ 1, 11, 21, 31, 41, 51, 61, 71, 81 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  57. Skew morphsim class of size 144
      
      of order 90
      with kernel of order 99
      and smallest kernel generator 9
      and power function values [ 1, 11, 21, 31, 41, 51, 61, 71, 81 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  58. Skew morphsim class of size 432
      
      of order 135
      with kernel of order 99
      and smallest kernel generator 9
      and power function values [ 1, 16, 121, 46, 61, 31, 91, 106, 76 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  59. Skew morphsim class of size 144
      
      of order 270
      with kernel of order 297
      and smallest kernel generator 3
      and power function values [ 1, 91, 181 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  60. Skew morphsim class of size 144
      
      of order 270
      with kernel of order 297
      and smallest kernel generator 3
      and power function values [ 1, 91, 181 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  61. Skew morphsim class of size 432
      
      of order 270
      with kernel of order 99
      and smallest kernel generator 9
      and power function values [ 1, 31, 151, 91, 121, 241, 181, 211, 61 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  62. Skew morphsim class of size 432
      
      of order 270
      with kernel of order 99
      and smallest kernel generator 9
      and power function values [ 1, 31, 61, 91, 121, 151, 181, 211, 241 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  63. Skew morphsim class of size 432
      
      of order 270
      with kernel of order 99
      and smallest kernel generator 9
      and power function values [ 1, 31, 61, 91, 121, 151, 181, 211, 241 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  64. Skew morphsim class of size 324
      
      of order 54
      with kernel of order 33
      and smallest kernel generator 27
      and power function values [ 1, 3, 29, 25, 45, 35, 49, 33, 41, 19, 21, 47, 43, 9, 53, 13, 51, 5, 37, 39, 11, 7, 27, 17, 31, 15, 23 ]
      and with periodicity 18
      and with complexity 7
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  65. Skew morphsim class of size 324
      
      of order 54
      with kernel of order 33
      and smallest kernel generator 27
      and power function values [ 1, 3, 29, 25, 45, 35, 49, 33, 41, 19, 21, 47, 43, 9, 53, 13, 51, 5, 37, 39, 11, 7, 27, 17, 31, 15, 23 ]
      and with periodicity 18
      and with complexity 7
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  66. Skew morphsim class of size 1296
      
      of order 270
      with kernel of order 33
      and smallest kernel generator 27
      and power function values [ 1, 21, 11, 241, 171, 71, 211, 51, 131, 181, 201, 191, 151, 81, 251, 121, 231, 41, 91, 111, 101, 61, 261, 161, 31, 141, 221 ]
      and with periodicity 18
      and with complexity 7
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  67. Skew morphsim class of size 1296
      
      of order 270
      with kernel of order 33
      and smallest kernel generator 27
      and power function values [ 1, 21, 11, 241, 171, 71, 211, 51, 131, 181, 201, 191, 151, 81, 251, 121, 231, 41, 91, 111, 101, 61, 261, 161, 31, 141, 221 ]
      and with periodicity 18
      and with complexity 7
      and with auto-order 2
      φ | √φ | φ' | φ2