Number of selected skew morphism classes of C1033 is 0
Total number of skew morphisms of C1033 is 1032
Total number of skew morphism classes of C1033 is 16
Total number of automorphisms of C1033 is 1032

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 1033
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 1033
     φ | √φ | φ' | φ|<1033>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 1033
     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 1033
     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 6
     with kernel of order 1033
     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
   
   

5. Skew morphsim class of size 42
     
     of order 43
     with kernel of order 1033
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 43
     φ | √φ | φ' | φ43
   
   

6. Skew morphsim class of size 42
     
     of order 86
     with kernel of order 1033
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 86
     φ | √φ | φ' | φ86
   
   

7. Skew morphsim class of size 84
     
     of order 129
     with kernel of order 1033
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 129
     φ | √φ | φ' | φ129
   
   

8. Skew morphsim class of size 84
     
     of order 258
     with kernel of order 1033
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 258
     φ | √φ | φ' | φ258
   
   

9. Skew morphsim class of size 2
     
     of order 4
     with kernel of order 1033
     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
   
   

10. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 1033
      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
    
    

11. Skew morphsim class of size 84
      
      of order 172
      with kernel of order 1033
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 172
      φ | √φ | φ' | φ172
    
    

12. Skew morphsim class of size 168
      
      of order 516
      with kernel of order 1033
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 516
      φ | √φ | φ' | φ516
    
    

13. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 1033
      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 8
      
      of order 24
      with kernel of order 1033
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 24
      φ | √φ | φ' | φ24
    
    

15. Skew morphsim class of size 168
      
      of order 344
      with kernel of order 1033
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 344
      φ | √φ | φ' | φ344
    
    

16. Skew morphsim class of size 336
      
      of order 1032
      with kernel of order 1033
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 1032
      φ | √φ | φ' | φ1032