9 9 3 ## The LS9 with transitive autotopy groups. First two are groups abcdefghi bcaefdhig cabfdeigh defghibca efdhigcab fdeighabc ghibcaefd higcabfde ighabcdef abcdefghi bcaefdhig cabfdeigh defghiabc efdhigbca fdeighcab ghiabcdef higbcaefd ighcabfde abcdfegih bcaedfihg cabfedhgi defghibca fdehigabc efdighcab gihcbadef ihgacbefd hgibacfde