Number of selected skew morphism classes of C1369 is 0
Total number of skew morphisms of C1369 is 46692
Total number of skew morphism classes of C1369 is 26
Total number of automorphisms of C1369 is 1332

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 1369
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 1369
     φ | √φ | φ' | φ|<1369>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 1369
     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 3
     with kernel of order 1369
     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
   
   

4. Skew morphsim class of size 2
     
     of order 4
     with kernel of order 1369
     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
   
   

5. Skew morphsim class of size 2
     
     of order 6
     with kernel of order 1369
     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
   
   

6. Skew morphsim class of size 6
     
     of order 9
     with kernel of order 1369
     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
   
   

7. Skew morphsim class of size 4
     
     of order 12
     with kernel of order 1369
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 12
     φ | √φ | φ' | φ12
   
   

8. Skew morphsim class of size 6
     
     of order 18
     with kernel of order 1369
     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
   
   

9. Skew morphsim class of size 12
     
     of order 36
     with kernel of order 1369
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 36
     φ | √φ | φ' | φ36
   
   

10. Skew morphsim class of size 36
      
      of order 37
      with kernel of order 1369
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 37
      φ | √φ | φ' | φ37
    
    

11. Skew morphsim class of size 36
      
      of order 74
      with kernel of order 1369
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 74
      φ | √φ | φ' | φ74
    
    

12. Skew morphsim class of size 72
      
      of order 111
      with kernel of order 1369
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 111
      φ | √φ | φ' | φ111
    
    

13. Skew morphsim class of size 72
      
      of order 148
      with kernel of order 1369
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 148
      φ | √φ | φ' | φ148
    
    

14. Skew morphsim class of size 72
      
      of order 222
      with kernel of order 1369
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 222
      φ | √φ | φ' | φ222
    
    

15. Skew morphsim class of size 216
      
      of order 333
      with kernel of order 1369
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 333
      φ | √φ | φ' | φ333
    
    

16. Skew morphsim class of size 144
      
      of order 444
      with kernel of order 1369
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 444
      φ | √φ | φ' | φ444
    
    

17. Skew morphsim class of size 216
      
      of order 666
      with kernel of order 1369
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 666
      φ | √φ | φ' | φ666
    
    

18. Skew morphsim class of size 432
      
      of order 1332
      with kernel of order 1369
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 1332
      φ | √φ | φ' | φ1332
    
    

19. Skew morphsim class of size 1296
      
      of order 74
      with kernel of order 37
      and smallest kernel generator 37
      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, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

20. Skew morphsim class of size 2592
      
      of order 111
      with kernel of order 37
      and smallest kernel generator 37
      and power function values [ 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 49, 52, 55, 58, 61, 64, 67, 70, 73, 76, 79, 82, 85, 88, 91, 94, 97, 100, 103, 106, 109 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    

21. Skew morphsim class of size 2592
      
      of order 148
      with kernel of order 37
      and smallest kernel generator 37
      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, 101, 105, 109, 113, 117, 121, 125, 129, 133, 137, 141, 145 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

22. Skew morphsim class of size 2592
      
      of order 222
      with kernel of order 37
      and smallest kernel generator 37
      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, 163, 169, 175, 181, 187, 193, 199, 205, 211, 217 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

23. Skew morphsim class of size 7776
      
      of order 333
      with kernel of order 37
      and smallest kernel generator 37
      and power function values [ 1, 10, 19, 28, 37, 46, 55, 64, 73, 82, 91, 100, 109, 118, 127, 136, 145, 154, 163, 172, 181, 190, 199, 208, 217, 226, 235, 244, 253, 262, 271, 280, 289, 298, 307, 316, 325 ]
      and with periodicity 9
      and with complexity 3
      and with auto-order 9
      φ | √φ | φ' | φ9
    
    

24. Skew morphsim class of size 5184
      
      of order 444
      with kernel of order 37
      and smallest kernel generator 37
      and power function values [ 1, 13, 25, 37, 49, 61, 73, 85, 97, 109, 121, 133, 145, 157, 169, 181, 193, 205, 217, 229, 241, 253, 265, 277, 289, 301, 313, 325, 337, 349, 361, 373, 385, 397, 409, 421, 433 ]
      and with periodicity 12
      and with complexity 3
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    

25. Skew morphsim class of size 7776
      
      of order 666
      with kernel of order 37
      and smallest kernel generator 37
      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, 487, 505, 523, 541, 559, 577, 595, 613, 631, 649 ]
      and with periodicity 18
      and with complexity 3
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    

26. Skew morphsim class of size 15552
      
      of order 1332
      with kernel of order 37
      and smallest kernel generator 37
      and power function values [ 1, 37, 73, 109, 145, 181, 217, 253, 289, 325, 361, 397, 433, 469, 505, 541, 577, 613, 649, 685, 721, 757, 793, 829, 865, 901, 937, 973, 1009, 1045, 1081, 1117, 1153, 1189, 1225, 1261, 1297 ]
      and with periodicity 36
      and with complexity 3
      and with auto-order 36
      φ | √φ | φ' | φ36