Number of selected skew morphism classes of C174 is 0
Total number of skew morphisms of C174 is 224
Total number of skew morphism classes of C174 is 21
Total number of automorphisms of C174 is 56

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 174
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 174
     φ | √φ | φ' | φ|<174>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 174
     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 6
     
     of order 7
     with kernel of order 174
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 7
     φ | √φ | φ' | φ7
   
   

4. Skew morphsim class of size 6
     
     of order 14
     with kernel of order 174
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 14
     φ | √φ | φ' | φ14
   
   

5. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 174
     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
   
   

6. Skew morphsim class of size 2
     
     of order 4
     with kernel of order 174
     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
   
   

7. Skew morphsim class of size 6
     
     of order 14
     with kernel of order 174
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 14
     φ | √φ | φ' | φ14
   
   

8. Skew morphsim class of size 12
     
     of order 28
     with kernel of order 174
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 28
     φ | √φ | φ' | φ28
   
   

9. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 174
     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 6
      
      of order 14
      with kernel of order 174
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    

11. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 174
      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
    
    

12. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 174
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 28
      φ | √φ | φ' | φ28
    
    

13. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 87
      and smallest kernel generator 2
      and power function values [ 1, 2 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

14. Skew morphsim class of size 28
      
      of order 29
      with kernel of order 87
      and smallest kernel generator 2
      and power function values [ 1, 28 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

15. Skew morphsim class of size 56
      
      of order 87
      with kernel of order 87
      and smallest kernel generator 2
      and power function values [ 1, 86 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

16. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 87
      and smallest kernel generator 2
      and power function values [ 1, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

17. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 87
      and smallest kernel generator 2
      and power function values [ 1, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

18. Skew morphsim class of size 12
      
      of order 21
      with kernel of order 87
      and smallest kernel generator 2
      and power function values [ 1, 8 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

19. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 87
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

20. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 87
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

21. Skew morphsim class of size 28
      
      of order 58
      with kernel of order 87
      and smallest kernel generator 2
      and power function values [ 1, 57 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>