Number of selected skew morphism classes of C1681 is 0
Total number of skew morphisms of C1681 is 64040
Total number of skew morphism classes of C1681 is 23
Total number of automorphisms of C1681 is 1640

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 1681
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 1681
     φ | √φ | φ' | φ|<1681>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 1681
     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 1681
     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 1681
     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 1681
     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 1681
     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 40
     
     of order 41
     with kernel of order 1681
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 41
     φ | √φ | φ' | φ41
   
   

8. Skew morphsim class of size 40
     
     of order 82
     with kernel of order 1681
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 82
     φ | √φ | φ' | φ82
   
   

9. Skew morphsim class of size 80
     
     of order 164
     with kernel of order 1681
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 164
     φ | √φ | φ' | φ164
   
   

10. Skew morphsim class of size 160
      
      of order 205
      with kernel of order 1681
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 205
      φ | √φ | φ' | φ205
    
    

11. Skew morphsim class of size 160
      
      of order 410
      with kernel of order 1681
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 410
      φ | √φ | φ' | φ410
    
    

12. Skew morphsim class of size 320
      
      of order 820
      with kernel of order 1681
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 820
      φ | √φ | φ' | φ820
    
    

13. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 1681
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    

14. Skew morphsim class of size 160
      
      of order 328
      with kernel of order 1681
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 328
      φ | √φ | φ' | φ328
    
    

15. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 1681
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 40
      φ | √φ | φ' | φ40
    
    

16. Skew morphsim class of size 640
      
      of order 1640
      with kernel of order 1681
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 1640
      φ | √φ | φ' | φ1640
    
    

17. Skew morphsim class of size 1600
      
      of order 82
      with kernel of order 41
      and smallest kernel generator 41
      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, 75, 77, 79, 81 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

18. Skew morphsim class of size 3200
      
      of order 164
      with kernel of order 41
      and smallest kernel generator 41
      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, 149, 153, 157, 161 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

19. Skew morphsim class of size 6400
      
      of order 205
      with kernel of order 41
      and smallest kernel generator 41
      and power function values [ 1, 6, 11, 16, 21, 26, 31, 36, 41, 46, 51, 56, 61, 66, 71, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 176, 181, 186, 191, 196, 201 ]
      and with periodicity 5
      and with complexity 3
      and with auto-order 5
      φ | √φ | φ' | φ5
    
    

20. Skew morphsim class of size 6400
      
      of order 328
      with kernel of order 41
      and smallest kernel generator 41
      and power function values [ 1, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 89, 97, 105, 113, 121, 129, 137, 145, 153, 161, 169, 177, 185, 193, 201, 209, 217, 225, 233, 241, 249, 257, 265, 273, 281, 289, 297, 305, 313, 321 ]
      and with periodicity 8
      and with complexity 3
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    

21. Skew morphsim class of size 6400
      
      of order 410
      with kernel of order 41
      and smallest kernel generator 41
      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, 251, 261, 271, 281, 291, 301, 311, 321, 331, 341, 351, 361, 371, 381, 391, 401 ]
      and with periodicity 10
      and with complexity 3
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

22. Skew morphsim class of size 12800
      
      of order 820
      with kernel of order 41
      and smallest kernel generator 41
      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, 501, 521, 541, 561, 581, 601, 621, 641, 661, 681, 701, 721, 741, 761, 781, 801 ]
      and with periodicity 20
      and with complexity 3
      and with auto-order 20
      φ | √φ | φ' | φ20
    
    

23. Skew morphsim class of size 25600
      
      of order 1640
      with kernel of order 41
      and smallest kernel generator 41
      and power function values [ 1, 41, 81, 121, 161, 201, 241, 281, 321, 361, 401, 441, 481, 521, 561, 601, 641, 681, 721, 761, 801, 841, 881, 921, 961, 1001, 1041, 1081, 1121, 1161, 1201, 1241, 1281, 1321, 1361, 1401, 1441, 1481, 1521, 1561, 1601 ]
      and with periodicity 40
      and with complexity 3
      and with auto-order 40
      φ | √φ | φ' | φ40