Title On the structure of solvable non-supersolvable groups Authors A. Gottcheiner and D. Leemans Abstract We partition the class of solvable non-supersolvable groups in three subclasses, namely the QCLT groups, the CLT but non-QCLT groups and the non-CLT groups. Looking at such groups of order less than 100 and not equal to 96, we get a list of properties they satisfy. Then we show that these properties do not hold for all groups and give the smallest groups which do not satisfy them.