Number of selected skew morphism classes of C172 is 0
Total number of skew morphisms of C172 is 168
Total number of skew morphism classes of C172 is 18
Total number of automorphisms of C172 is 84

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 172
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 172
     φ | √φ | φ' | φ|<172>
   
   

2. Skew morphsim class of size 6
     
     of order 7
     with kernel of order 172
     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
   
   

3. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 172
     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 6
     
     of order 14
     with kernel of order 172
     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 2
     
     of order 3
     with kernel of order 172
     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 2
     
     of order 6
     with kernel of order 172
     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
   
   

7. Skew morphsim class of size 12
     
     of order 21
     with kernel of order 172
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 21
     φ | √φ | φ' | φ21
   
   

8. Skew morphsim class of size 12
     
     of order 42
     with kernel of order 172
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 42
     φ | √φ | φ' | φ42
   
   

9. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 172
     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 172
      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 1
      
      of order 2
      with kernel of order 172
      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 6
      
      of order 14
      with kernel of order 172
      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
    
    

13. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 172
      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
    
    

14. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 172
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    

15. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 172
      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 12
      
      of order 42
      with kernel of order 172
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    

17. Skew morphsim class of size 42
      
      of order 43
      with kernel of order 86
      and smallest kernel generator 2
      and power function values [ 1, 42 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

18. Skew morphsim class of size 42
      
      of order 86
      with kernel of order 86
      and smallest kernel generator 2
      and power function values [ 1, 85 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>