logian olgian lgoian gloian oglian golian loigan oligan liogan ilogan oilgan iolgan lgioan glioan ligoan ilgoan giloan igloan ogilan goilan oiglan ioglan giolan igolan logain olgain lgoain gloain oglain golain loagin olagin laogin alogin oalgin aolgin lgaoin glaoin lagoin algoin galoin agloin ogalin goalin oaglin aoglin gaolin agolin loiagn oliagn lioagn iloagn oilagn iolagn loaign olaign laoign aloign oalign aolign liaogn ilaogn laiogn aliogn ialogn ailogn oialgn ioalgn oailgn aoilgn iaolgn aiolgn lgiaon gliaon ligaon ilgaon gilaon iglaon lgaion glaion lagion algion galion aglion liagon ilagon laigon aligon ialgon ailgon gialon igalon gailon agilon iaglon aiglon ogialn goialn oigaln iogaln gioaln igoaln ogailn goailn oagiln aogiln gaoiln agoiln oiagln ioagln oaigln aoigln iaogln aiogln giaoln igaoln gaioln agioln iagoln aigoln logina olgina lgoina gloina oglina golina loigna oligna liogna ilogna oilgna iolgna lgiona gliona ligona ilgona gilona iglona ogilna goilna oiglna ioglna giolna igolna lognia olgnia lgonia glonia oglnia golnia longia olngia lnogia nlogia onlgia nolgia lgnoia glnoia lngoia nlgoia gnloia ngloia ognlia gonlia onglia noglia gnolia ngolia loinga olinga lionga ilonga oilnga iolnga loniga olniga lnoiga nloiga onliga noliga linoga ilnoga lnioga nlioga inloga niloga oinlga ionlga onilga noilga inolga niolga lginoa glinoa lignoa ilgnoa gilnoa iglnoa lgnioa glnioa lngioa nlgioa gnlioa nglioa lingoa ilngoa lnigoa nligoa inlgoa nilgoa ginloa ignloa gniloa ngiloa ingloa nigloa oginla goinla oignla iognla gionla igonla ognila gonila ongila nogila gnoila ngoila oingla iongla onigla noigla inogla niogla ginola ignola gniola ngiola ingola nigola logani olgani lgoani gloani oglani golani loagni olagni laogni alogni oalgni aolgni lgaoni glaoni lagoni algoni galoni agloni ogalni goalni oaglni aoglni gaolni agolni lognai olgnai lgonai glonai oglnai golnai longai olngai lnogai nlogai onlgai nolgai lgnoai glnoai lngoai nlgoai gnloai ngloai ognlai gonlai onglai noglai gnolai ngolai loangi olangi laongi alongi oalngi aolngi lonagi olnagi lnoagi nloagi onlagi nolagi lanogi alnogi lnaogi nlaogi anlogi nalogi oanlgi aonlgi onalgi noalgi anolgi naolgi lganoi glanoi lagnoi algnoi galnoi aglnoi lgnaoi glnaoi lngaoi nlgaoi gnlaoi nglaoi langoi alngoi lnagoi nlagoi anlgoi nalgoi ganloi agnloi gnaloi ngaloi angloi nagloi oganli goanli oagnli aognli gaonli agonli ognali gonali ongali nogali gnoali ngoali oangli aongli onagli noagli anogli naogli ganoli agnoli gnaoli ngaoli angoli nagoli loiang oliang lioang iloang oilang iolang loaing olaing laoing aloing oaling aoling liaong ilaong laiong aliong ialong ailong oialng ioalng oailng aoilng iaolng aiolng loinag olinag lionag ilonag oilnag iolnag loniag olniag lnoiag nloiag onliag noliag linoag ilnoag lnioag nlioag inloag niloag oinlag ionlag onilag noilag inolag niolag loanig olanig laonig alonig oalnig aolnig lonaig olnaig lnoaig nloaig onlaig nolaig lanoig alnoig lnaoig nlaoig anloig naloig oanlig aonlig onalig noalig anolig naolig lianog ilanog lainog alinog ialnog ailnog linaog ilnaog lniaog nliaog inlaog nilaog laniog alniog lnaiog nlaiog anliog naliog ianlog ainlog inalog nialog anilog nailog oianlg ioanlg oainlg aoinlg iaonlg aionlg oinalg ionalg onialg noialg inoalg nioalg oanilg aonilg onailg noailg anoilg naoilg ianolg ainolg inaolg niaolg aniolg naiolg lgiano gliano ligano ilgano gilano iglano lgaino glaino lagino algino galino aglino liagno ilagno laigno aligno ialgno ailgno gialno igalno gailno agilno iaglno aiglno lginao glinao lignao ilgnao gilnao iglnao lgniao glniao lngiao nlgiao gnliao ngliao lingao ilngao lnigao nligao inlgao nilgao ginlao ignlao gnilao ngilao inglao niglao lganio glanio lagnio algnio galnio aglnio lgnaio glnaio lngaio nlgaio gnlaio nglaio langio alngio lnagio nlagio anlgio nalgio ganlio agnlio gnalio ngalio anglio naglio liango ilango laingo alingo ialngo ailngo linago ilnago lniago nliago inlago nilago lanigo alnigo lnaigo nlaigo anligo naligo ianlgo ainlgo inalgo nialgo anilgo nailgo gianlo iganlo gainlo aginlo iagnlo aignlo ginalo ignalo gnialo ngialo ingalo nigalo ganilo agnilo gnailo ngailo angilo nagilo ianglo ainglo inaglo niaglo aniglo naiglo ogianl goianl oiganl ioganl gioanl igoanl ogainl goainl oaginl aoginl gaoinl agoinl oiagnl ioagnl oaignl aoignl iaognl aiognl giaonl igaonl gaionl agionl iagonl aigonl oginal goinal oignal iognal gional igonal ognial gonial ongial nogial gnoial ngoial oingal iongal onigal noigal inogal niogal ginoal ignoal gnioal ngioal ingoal nigoal oganil goanil oagnil aognil gaonil agonil ognail gonail ongail nogail gnoail ngoail oangil aongil onagil noagil anogil naogil ganoil agnoil gnaoil ngaoil angoil nagoil oiangl ioangl oaingl aoingl iaongl aiongl oinagl ionagl oniagl noiagl inoagl nioagl oanigl aonigl onaigl noaigl anoigl naoigl ianogl ainogl inaogl niaogl aniogl naiogl gianol iganol gainol aginol iagnol aignol ginaol ignaol gniaol ngiaol ingaol nigaol ganiol agniol gnaiol ngaiol angiol nagiol iangol aingol inagol niagol anigol naigol
Note: these 'words' (valid or invalid) are all the permutations of the word logian. These words are obtained by scrambling the letters in logian.