Number of Non-Isomorphic Graphs: 2 
 
Graph 1:
0 1 1 1 1 0 0 0 0 0 0 0 
1 0 1 0 0 0 1 0 0 0 1 0 
1 1 0 0 0 0 0 1 0 0 0 1 
1 0 0 0 1 0 0 0 1 0 0 1 
1 0 0 1 0 0 0 0 0 1 1 0 
0 0 0 0 0 0 1 1 1 1 0 0 
0 1 0 0 0 1 0 0 1 0 1 0 
0 0 1 0 0 1 0 0 0 1 0 1 
0 0 0 1 0 1 1 0 0 0 0 1 
0 0 0 0 1 1 0 1 0 0 1 0 
0 1 0 0 1 0 1 0 0 1 0 0 
0 0 1 1 0 0 0 1 1 0 0 0 

Graph 2:
0 1 1 1 1 0 0 0 0 0 0 0 
1 0 1 0 0 0 1 0 0 0 1 0 
1 1 0 0 0 0 0 0 1 0 0 1 
1 0 0 0 1 0 0 1 0 0 0 1 
1 0 0 1 0 0 0 0 0 1 1 0 
0 0 0 0 0 0 1 1 1 1 0 0 
0 1 0 0 0 1 0 0 1 0 1 0 
0 0 0 1 0 1 0 0 0 1 0 1 
0 0 1 0 0 1 1 0 0 0 0 1 
0 0 0 0 1 1 0 1 0 0 1 0 
0 1 0 0 1 0 1 0 0 1 0 0 
0 0 1 1 0 0 0 1 1 0 0 0