Number of selected skew morphism classes of C1589 is 0
Total number of skew morphisms of C1589 is 1356
Total number of skew morphism classes of C1589 is 16
Total number of automorphisms of C1589 is 1356

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 1589
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 1589
     φ | √φ | φ' | φ|<1589>
   
   

2. Skew morphsim class of size 112
     
     of order 113
     with kernel of order 1589
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 113
     φ | √φ | φ' | φ113
   
   

3. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 1589
     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
   
   

4. Skew morphsim class of size 112
     
     of order 226
     with kernel of order 1589
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 226
     φ | √φ | φ' | φ226
   
   

5. Skew morphsim class of size 2
     
     of order 3
     with kernel of order 1589
     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
   
   

6. Skew morphsim class of size 224
     
     of order 339
     with kernel of order 1589
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 339
     φ | √φ | φ' | φ339
   
   

7. Skew morphsim class of size 2
     
     of order 6
     with kernel of order 1589
     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
   
   

8. Skew morphsim class of size 224
     
     of order 678
     with kernel of order 1589
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 678
     φ | √φ | φ' | φ678
   
   

9. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 1589
     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 2
      
      of order 6
      with kernel of order 1589
      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
    
    

11. Skew morphsim class of size 112
      
      of order 226
      with kernel of order 1589
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 226
      φ | √φ | φ' | φ226
    
    

12. Skew morphsim class of size 224
      
      of order 678
      with kernel of order 1589
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 678
      φ | √φ | φ' | φ678
    
    

13. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1589
      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 2
      
      of order 6
      with kernel of order 1589
      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
    
    

15. Skew morphsim class of size 112
      
      of order 226
      with kernel of order 1589
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 226
      φ | √φ | φ' | φ226
    
    

16. Skew morphsim class of size 224
      
      of order 678
      with kernel of order 1589
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 678
      φ | √φ | φ' | φ678