10 10 4 ## The LS10 with transitive autotopy groups. First two are groups
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bacdefghji
fdbiajcegh
echbgaijdf
dfajbiechg
cegahbjifd
hgicjedfab
ijdgfhabec
jifhdgbace
ghjeicfdba

abfedchigj
bacdefgjhi
efbaihcdjg
dcabjgfeih
cdgjbaihfe
fehiabjgcd
jgdchiabef
hijgfedcba
ihefgjbadc
gjihcdefab

abcedijfgh
cadbehijfg
beadcjfghi
dceabghijf
edbcafghij
hgifjebacd
ihjgfdebac
jifhgcdeba
gfhjibacde
fjgihacdeb

abcdegjihf
eafigbhdcj
biaghjfced
cfhaiegjdb
dhgfacibje
fjecbidagh
jgihfdaebc
iedjchbgfa
gcjbdfehai
hdbejacfig