Dear Forum, I need to construct a proper subgroup of PSL( 2, 7^3 ) that contains a Sylow 2-subgroup. According to the manual, IntermediateGroup returns `fail' if the subgroup is maximal. But the Sylow 2-subgroup is not maximal in this case. Thank you in advance for any clarification.
Anvita ===== gap> L := PSL(2,7^3); <permutation group of size 20176632 with 2 generators> gap> gap> S := SylowSubgroup (L,2); <permutation group of size 8 with 3 generators> gap> gap> U := IntermediateGroup(L,S); fail ===== _______________________________________________ Forum mailing list Forum@gap-system.org https://mail.gap-system.org/mailman/listinfo/forum
