Dear Forum, According to the ATLAS, the simple group S4(8) has outer automorphism group of order 6, but the following calculation, if I am interpreting it correctly, seems to suggest that it has order 3.
Anvita gap> S:=PSp(4,8); <permutation group of size 1056706560 with 2 generators> gap> A:=AutomorphismGroup(S); <group with 4 generators> gap> Size(A)/Size(S); 3 _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum