Number of selected skew morphism classes of C722 is 0
Total number of skew morphisms of C722 is 12366
Total number of skew morphism classes of C722 is 20
Total number of automorphisms of C722 is 342

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 722
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 722
     φ | √φ | φ' | φ|<722>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 722
     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 2
     
     of order 3
     with kernel of order 722
     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
   
   

4. Skew morphsim class of size 2
     
     of order 6
     with kernel of order 722
     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
   
   

5. Skew morphsim class of size 6
     
     of order 9
     with kernel of order 722
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 9
     φ | √φ | φ' | φ9
   
   

6. Skew morphsim class of size 6
     
     of order 18
     with kernel of order 722
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 18
     φ | √φ | φ' | φ18
   
   

7. Skew morphsim class of size 18
     
     of order 19
     with kernel of order 722
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 19
     φ | √φ | φ' | φ19
   
   

8. Skew morphsim class of size 18
     
     of order 38
     with kernel of order 722
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 38
     φ | √φ | φ' | φ38
   
   

9. Skew morphsim class of size 36
     
     of order 57
     with kernel of order 722
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 57
     φ | √φ | φ' | φ57
   
   

10. Skew morphsim class of size 36
      
      of order 114
      with kernel of order 722
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 114
      φ | √φ | φ' | φ114
    
    

11. Skew morphsim class of size 108
      
      of order 171
      with kernel of order 722
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 171
      φ | √φ | φ' | φ171
    
    

12. Skew morphsim class of size 108
      
      of order 342
      with kernel of order 722
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 342
      φ | √φ | φ' | φ342
    
    

13. Skew morphsim class of size 18
      
      of order 19
      with kernel of order 361
      and smallest kernel generator 2
      and power function values [ 1, 18 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

14. Skew morphsim class of size 342
      
      of order 361
      with kernel of order 361
      and smallest kernel generator 2
      and power function values [ 1, 360 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

15. Skew morphsim class of size 324
      
      of order 38
      with kernel of order 38
      and smallest kernel generator 19
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

16. Skew morphsim class of size 648
      
      of order 57
      with kernel of order 38
      and smallest kernel generator 19
      and power function values [ 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 49, 52, 55 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    

17. Skew morphsim class of size 648
      
      of order 114
      with kernel of order 38
      and smallest kernel generator 19
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49, 55, 61, 67, 73, 79, 85, 91, 97, 103, 109 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

18. Skew morphsim class of size 1944
      
      of order 171
      with kernel of order 38
      and smallest kernel generator 19
      and power function values [ 1, 10, 19, 28, 37, 46, 55, 64, 73, 82, 91, 100, 109, 118, 127, 136, 145, 154, 163 ]
      and with periodicity 9
      and with complexity 3
      and with auto-order 9
      φ | √φ | φ' | φ9
    
    

19. Skew morphsim class of size 1944
      
      of order 342
      with kernel of order 38
      and smallest kernel generator 19
      and power function values [ 1, 19, 37, 55, 73, 91, 109, 127, 145, 163, 181, 199, 217, 235, 253, 271, 289, 307, 325 ]
      and with periodicity 18
      and with complexity 3
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    

20. Skew morphsim class of size 6156
      
      of order 361
      with kernel of order 19
      and smallest kernel generator 38
      and power function values [ 1, 18, 343, 37, 324, 56, 305, 75, 286, 94, 267, 113, 248, 132, 229, 151, 210, 170, 191, 189, 172, 208, 153, 227, 134, 246, 115, 265, 96, 284, 77, 303, 58, 322, 39, 341, 20, 360 ]
      and with periodicity 19
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>