Number of selected skew morphism classes of C124 is 0
Total number of skew morphisms of C124 is 120
Total number of skew morphism classes of C124 is 18
Total number of automorphisms of C124 is 60

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 124
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 124
     φ | √φ | φ' | φ|<124>
   
   

2. Skew morphsim class of size 4
     
     of order 5
     with kernel of order 124
     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 1
     
     of order 2
     with kernel of order 124
     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 2
     
     of order 3
     with kernel of order 124
     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
   
   

5. Skew morphsim class of size 2
     
     of order 6
     with kernel of order 124
     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
   
   

6. Skew morphsim class of size 4
     
     of order 10
     with kernel of order 124
     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
   
   

7. Skew morphsim class of size 8
     
     of order 15
     with kernel of order 124
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 15
     φ | √φ | φ' | φ15
   
   

8. Skew morphsim class of size 8
     
     of order 30
     with kernel of order 124
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 30
     φ | √φ | φ' | φ30
   
   

9. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 124
     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 124
      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 1
      
      of order 2
      with kernel of order 124
      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
    
    

12. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 124
      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
    
    

13. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 124
      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 8
      
      of order 30
      with kernel of order 124
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    

15. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 124
      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
    
    

16. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 124
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    

17. Skew morphsim class of size 30
      
      of order 31
      with kernel of order 62
      and smallest kernel generator 2
      and power function values [ 1, 30 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

18. Skew morphsim class of size 30
      
      of order 62
      with kernel of order 62
      and smallest kernel generator 2
      and power function values [ 1, 61 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>