
Title

Two Nearly Isomorphic Groups

Author

Dimitri Leemans

Reference

Atti Sem. Mat. Fis. Univ. Modena, XLV(1997), 373376.

Math. Reviews

98k:20005

Zentralblatt

893.20001

Abstract

While exploring Sims' list of primitive permutation groups of degree less than
50, we met two groups of degree 49, called P49N15 and P49N16, which have
isomorphic posets of conjugacy classes of subgroups and for each normal
subgroup N of the first, there is a normal subgroup isomorphic to N in the
second group such that the quotients by N are isomorphic.


