Number of selected skew morphism classes of C1689 is 0
Total number of skew morphisms of C1689 is 1124
Total number of skew morphism classes of C1689 is 8
Total number of automorphisms of C1689 is 1124

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 1689
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 1689
     φ | √φ | φ' | φ|<1689>
   
   

2. Skew morphsim class of size 280
     
     of order 281
     with kernel of order 1689
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 281
     φ | √φ | φ' | φ281
   
   

3. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 1689
     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 280
     
     of order 562
     with kernel of order 1689
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 562
     φ | √φ | φ' | φ562
   
   

5. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 1689
     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 280
     
     of order 562
     with kernel of order 1689
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 562
     φ | √φ | φ' | φ562
   
   

7. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 1689
     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
   
   

8. Skew morphsim class of size 280
     
     of order 562
     with kernel of order 1689
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 562
     φ | √φ | φ' | φ562