Number of selected skew morphism classes of C_1004 is 0
Total number of skew morphisms of C_1004 is 1000
Total number of skew morphism classes of C_1004 is 18
Total number of automorphisms of C_1004 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
   
   

2. 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
   
   

3. 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
   
   

4. 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
   
   

5. 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
   
   

6. 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
   
   

7. 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
   
   

8. 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
   
   

9. 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
   
   

10. 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
    
    

11. 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
    
    

12. 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
    
    

13. 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
    
    

14. 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
    
    

15. 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
    
    

16. 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
    
    

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
    
    

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