Number of selected skew morphism classes of C_578 is 0
Total number of skew morphisms of C_578 is 8752
Total number of skew morphism classes of C_578 is 17
Total number of automorphisms of C_578 is 272

1. Skew morphsim class of size 1 #
     
     of order 1 √
     with kernel of order 578
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

2. Skew morphsim class of size 64 #
     
     of order 136 √
     with kernel of order 578
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

3. Skew morphsim class of size 32 #
     
     of order 68 √
     with kernel of order 578
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

4. Skew morphsim class of size 128 #
     
     of order 272 √
     with kernel of order 578
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

5. Skew morphsim class of size 16 #
     
     of order 34 √
     with kernel of order 578
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

6. Skew morphsim class of size 16 #
     
     of order 17 √
     with kernel of order 578
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

7. Skew morphsim class of size 2 #
     
     of order 4 √
     with kernel of order 578
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

8. Skew morphsim class of size 8 #
     
     of order 16 √
     with kernel of order 578
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

9. Skew morphsim class of size 4 #
     
     of order 8 √
     with kernel of order 578
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

10. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 578
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

11. Skew morphsim class of size 16 #
      
      of order 17 √
      with kernel of order 289
      and smallest kernel generator 2
      and power function values [ 1, 16 ] #
      and with periodicity 1
    
    

12. Skew morphsim class of size 272 #
      
      of order 289 √
      with kernel of order 289
      and smallest kernel generator 2
      and power function values [ 1, 288 ] #
      and with periodicity 1
    
    

13. Skew morphsim class of size 256 #
      
      of order 34 √
      with kernel of order 34
      and smallest kernel generator 17
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33 ] #
      and with periodicity 2
    
    

14. Skew morphsim class of size 512 #
      
      of order 68 √
      with kernel of order 34
      and smallest kernel generator 17
      and power function values [ 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, 65 ] #
      and with periodicity 4
    
    

15. Skew morphsim class of size 1024 #
      
      of order 136 √
      with kernel of order 34
      and smallest kernel generator 17
      and power function values [ 1, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 89, 97, 105, 113, 121, 129 ] #
      and with periodicity 8
    
    

16. Skew morphsim class of size 2048 #
      
      of order 272 √
      with kernel of order 34
      and smallest kernel generator 17
      and power function values [ 1, 17, 33, 49, 65, 81, 97, 113, 129, 145, 161, 177, 193, 209, 225, 241, 257 ] #
      and with periodicity 16
    
    

17. Skew morphsim class of size 4352 #
      
      of order 289 √
      with kernel of order 17
      and smallest kernel generator 34
      and power function values [ 1, 271, 18, 254, 35, 237, 52, 220, 69, 203, 86, 186, 103, 169, 120, 152, 137, 135, 154, 118, 171, 101, 188, 84, 205, 67, 222, 50, 239, 33, 256, 16, 273, 288 ] #
      and with periodicity 17