Five Nondual \(2-(41,16,6)\) Designs with a Trivial Automorphism Group

In a previous paper [2] it was established that, up to isomorphism, there exist at least 112,000 symmetric \(2-(41,16,6)\) designs with a non-trivial automorphism of odd order. Using the underlying derived designs of just one of these and extending them to a \(2-(41,16,6)\) design we have found ten non-isomorphic symmetric \(2-(41,16,6)\) designs with trivial automorphism group (five pairs of non-selfdual designs).