list of pieces and number of symmetries

analyzing piece 'A'

 / \    
 \   \  

sym_rot=4 sym_line=2

analyzing piece 'B'

 /      
 \ / \  

sym_rot=4 sym_line=2

analyzing piece 'C'

 / \ / \

sym_rot=4 sym_line=1

analyzing piece 'D'

 / \ /  
   /    

sym_rot=4 sym_line=2

analyzing piece 'E'

 / \    
     \  
       \

sym_rot=4 sym_line=2

analyzing piece 'F'

   \ /  
   / \  

sym_rot=1 sym_line=1

analyzing piece 'G'

 /      
 \ /    
   \    

sym_rot=4 sym_line=2

analyzing piece 'H'

 / \ /  
     \  

sym_rot=4 sym_line=2

analyzing piece 'I'

 / \    
     \  
     /  

sym_rot=4 sym_line=1

analyzing piece 'J'

     /  
 \ /    
 /      

sym_rot=4 sym_line=2

challenge
       I I      
     - - - I    
   - - - - I -  
 - - - F F - - -
 - - - F F - - -
   - - - - - -  
     - - - -    
       - -      
warning: some solutions are not real solutions, because two pieces go trough eachother
a solution for this problem is being worked on

solution
       I I      
     H H H I    
   B B B H I E  
 G B C F F A E A
 G G C F F E A A
   G C D E J J  
     C D D J    
       D J      

solution
       I I      
     D D D I    
   G C D A I A  
 G G C F F A A B
 G E C F F B B B
   E C H H H J  
     E H J J    
       E J      

solution
       I I      
     H H H I    
   B B B H I D  
 G B C F F D D E
 G G C F F J D E
   G C A J J E  
     C J A E    
       A A      

solution
       I I      
     H H H I    
   B B B H I D  
 G B C F F E D D
 G G C F F E D J
   G C A E J J  
     C E A J    
       A A      

solution
       I I      
     H H H I    
   B B B H I D  
 G B C F F D D D
 G G C F F E E J
   G C A E J J  
     C E A J    
       A A      

solution
       I I      
     E E H I    
   E H H H I A  
 E D C F F J J A
 D D C F F J A A
   D C B J G G  
     C B G G    
       B B