Number of selected skew morphism classes of C1004 is 0
Total number of skew morphisms of C1004 is 1000
Total number of skew morphism classes of C1004 is 18
Total number of automorphisms of C1004 is 500

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 1004
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 1004
     φ | √φ | φ' | φ|<1004>
   
   

2. Skew morphsim class of size 4
     
     of order 5
     with kernel of order 1004
     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
   
   

3. Skew morphsim class of size 20
     
     of order 25
     with kernel of order 1004
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 25
     φ | √φ | φ' | φ25
   
   

4. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 1004
     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 4
     
     of order 10
     with kernel of order 1004
     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 20
     
     of order 50
     with kernel of order 1004
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 50
     φ | √φ | φ' | φ50
   
   

7. Skew morphsim class of size 100
     
     of order 125
     with kernel of order 1004
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 125
     φ | √φ | φ' | φ125
   
   

8. Skew morphsim class of size 100
     
     of order 250
     with kernel of order 1004
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 250
     φ | √φ | φ' | φ250
   
   

9. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 1004
     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
   
   

10. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1004
      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
    
    

11. Skew morphsim class of size 20
      
      of order 50
      with kernel of order 1004
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 50
      φ | √φ | φ' | φ50
    
    

12. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1004
      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
    
    

13. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1004
      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
    
    

14. Skew morphsim class of size 20
      
      of order 50
      with kernel of order 1004
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 50
      φ | √φ | φ' | φ50
    
    

15. Skew morphsim class of size 100
      
      of order 250
      with kernel of order 1004
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 250
      φ | √φ | φ' | φ250
    
    

16. Skew morphsim class of size 100
      
      of order 250
      with kernel of order 1004
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 250
      φ | √φ | φ' | φ250
    
    

17. Skew morphsim class of size 250
      
      of order 251
      with kernel of order 502
      and smallest kernel generator 2
      and power function values [ 1, 250 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

18. Skew morphsim class of size 250
      
      of order 502
      with kernel of order 502
      and smallest kernel generator 2
      and power function values [ 1, 501 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>