Number of selected skew morphism classes of C1166 is 0
Total number of skew morphisms of C1166 is 2080
Total number of skew morphism classes of C1166 is 35
Total number of automorphisms of C1166 is 520

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 1166
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 1166
     φ | √φ | φ' | φ|<1166>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 1166
     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 1166
     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 1166
     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 1166
     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 12
     
     of order 13
     with kernel of order 1166
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 13
     φ | √φ | φ' | φ13
   
   

7. Skew morphsim class of size 8
     
     of order 20
     with kernel of order 1166
     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
   
   

8. Skew morphsim class of size 12
     
     of order 26
     with kernel of order 1166
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 26
     φ | √φ | φ' | φ26
   
   

9. Skew morphsim class of size 24
     
     of order 52
     with kernel of order 1166
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 52
     φ | √φ | φ' | φ52
   
   

10. Skew morphsim class of size 48
      
      of order 65
      with kernel of order 1166
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 65
      φ | √φ | φ' | φ65
    
    

11. Skew morphsim class of size 48
      
      of order 130
      with kernel of order 1166
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 130
      φ | √φ | φ' | φ130
    
    

12. Skew morphsim class of size 96
      
      of order 260
      with kernel of order 1166
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 260
      φ | √φ | φ' | φ260
    
    

13. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1166
      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
    
    

14. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1166
      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
    
    

15. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 1166
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 26
      φ | √φ | φ' | φ26
    
    

16. Skew morphsim class of size 48
      
      of order 130
      with kernel of order 1166
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 130
      φ | √φ | φ' | φ130
    
    

17. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1166
      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
    
    

18. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1166
      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
    
    

19. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 1166
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 26
      φ | √φ | φ' | φ26
    
    

20. Skew morphsim class of size 48
      
      of order 130
      with kernel of order 1166
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 130
      φ | √φ | φ' | φ130
    
    

21. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 1166
      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
    
    

22. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 1166
      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
    
    

23. Skew morphsim class of size 24
      
      of order 52
      with kernel of order 1166
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 52
      φ | √φ | φ' | φ52
    
    

24. Skew morphsim class of size 96
      
      of order 260
      with kernel of order 1166
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 260
      φ | √φ | φ' | φ260
    
    

25. Skew morphsim class of size 10
      
      of order 11
      with kernel of order 583
      and smallest kernel generator 2
      and power function values [ 1, 10 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

26. Skew morphsim class of size 52
      
      of order 53
      with kernel of order 583
      and smallest kernel generator 2
      and power function values [ 1, 52 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

27. Skew morphsim class of size 520
      
      of order 583
      with kernel of order 583
      and smallest kernel generator 2
      and power function values [ 1, 582 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

28. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 583
      and smallest kernel generator 2
      and power function values [ 1, 21 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

29. Skew morphsim class of size 120
      
      of order 143
      with kernel of order 583
      and smallest kernel generator 2
      and power function values [ 1, 131 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

30. Skew morphsim class of size 120
      
      of order 286
      with kernel of order 583
      and smallest kernel generator 2
      and power function values [ 1, 131 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

31. Skew morphsim class of size 20
      
      of order 44
      with kernel of order 583
      and smallest kernel generator 2
      and power function values [ 1, 21 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

32. Skew morphsim class of size 240
      
      of order 572
      with kernel of order 583
      and smallest kernel generator 2
      and power function values [ 1, 417 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

33. Skew morphsim class of size 208
      
      of order 265
      with kernel of order 583
      and smallest kernel generator 2
      and power function values [ 1, 211 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

34. Skew morphsim class of size 52
      
      of order 106
      with kernel of order 583
      and smallest kernel generator 2
      and power function values [ 1, 105 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

35. Skew morphsim class of size 208
      
      of order 530
      with kernel of order 583
      and smallest kernel generator 2
      and power function values [ 1, 211 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>