Group 
GAP ID (second part) 
Order of automorphism group 
Iso. class of automorphism group 
Log_2 of largest power of 2 dividing automorphism group order 
Iso. class of 2Sylow subgroup of automorphism group 
Log_2 of order of 2core 
Iso. class of 2core 
Log_2 of order of inner automorphism group 
Iso. class of inner automorphism group

cyclic group:Z8 
1 
4 
Klein fourgroup 
2 
Klein fourgroup 
2 
Klein fourgroup 
0 
trivial group

direct product of Z4 and Z2 
2 
8 
dihedral group:D8 
3 
dihedral group:D8 
3 
dihedral group:D8 
0 
trivial group

dihedral group:D8 
3 
8 
dihedral group:D8 
3 
dihedral group:D8 
3 
dihedral group:D8 
2 
Klein fourgroup

quaternion group 
4 
24 
symmetric group:S4 
3 
dihedral group:D8 
2 
Klein fourgroup 
2 
Klein fourgroup

elementary abelian group:E8 
5 
168 
general linear group:GL(3,2) 
3 
dihedral group:D8 
0 
trivial group 
0 
trivial group
