Number of selected skew morphism classes of C37 is 0
Total number of skew morphisms of C37 is 36
Total number of skew morphism classes of C37 is 9
Total number of automorphisms of C37 is 36

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 37
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 37
     φ | √φ | φ' | φ|<37>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 37
     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 37
     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 4
     with kernel of order 37
     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
   
   

5. Skew morphsim class of size 2
     
     of order 6
     with kernel of order 37
     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 6
     
     of order 9
     with kernel of order 37
     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
   
   

7. Skew morphsim class of size 4
     
     of order 12
     with kernel of order 37
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 12
     φ | √φ | φ' | φ12
   
   

8. Skew morphsim class of size 6
     
     of order 18
     with kernel of order 37
     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
   
   

9. Skew morphsim class of size 12
     
     of order 36
     with kernel of order 37
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 36
     φ | √φ | φ' | φ36