Abstract group data - 94950.b

Formats: - HTML - YAML - JSON - 2025-10-26T18:45:43.874666

• gps_groups •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  abelian_quotient	text
  all_subgroups_known	boolean
  almost_simple	boolean
  aut_abelian	boolean
  aut_cyclic	boolean
  aut_derived_length	smallint
  aut_exponent	numeric
  aut_gen_orders	numeric[]
  aut_gens	numeric[]
  aut_group	text
  aut_hash	bigint
  aut_nilpotency_class	smallint
  aut_nilpotent	boolean
  aut_order	numeric
  aut_permdeg	integer
  aut_perms	numeric[]
  aut_phi_ratio	double precision
  aut_solvable	boolean
  aut_stats	numeric[]
  aut_supersolvable	boolean
  aut_tex	text
  autcent_abelian	boolean
  autcent_cyclic	boolean
  autcent_exponent	numeric
  autcent_group	text
  autcent_hash	bigint
  autcent_nilpotent	boolean
  autcent_order	numeric
  autcent_solvable	boolean
  autcent_split	boolean
  autcent_supersolvable	boolean
  autcent_tex	text
  autcentquo_abelian	boolean
  autcentquo_cyclic	boolean
  autcentquo_exponent	numeric
  autcentquo_group	text
  autcentquo_hash	bigint
  autcentquo_nilpotent	boolean
  autcentquo_order	numeric
  autcentquo_solvable	boolean
  autcentquo_supersolvable	boolean
  autcentquo_tex	text
  cc_stats	numeric[]
  center_label	text
  center_order	numeric
  central_product	boolean
  central_quotient	text
  commutator_count	integer
  commutator_label	text
  complements_known	boolean
  complete	boolean
  complex_characters_known	boolean
  composition_factors	text[]
  composition_length	smallint
  conjugacy_classes_known	boolean
  counter	integer
  cyclic	boolean
  derived_length	smallint
  dihedral	boolean
  direct_factorization	jsonb
  direct_product	boolean
  div_stats	numeric[]
  element_repr_type	text
  elementary	integer
  eulerian_function	numeric
  exponent	numeric
  exponents_of_order	smallint[]
  factors_of_aut_order	integer[]
  factors_of_order	smallint[]
  faithful_reps	numeric[]
  familial	boolean
  frattini_label	text
  frattini_quotient	text
  hash	bigint
  hyperelementary	integer
  inner_abelian	boolean
  inner_cyclic	boolean
  inner_exponent	numeric
  inner_gen_orders	numeric[]
  inner_gens	numeric[]
  inner_hash	bigint
  inner_nilpotent	boolean
  inner_order	numeric
  inner_split	boolean
  inner_tex	text
  inner_used	smallint[]
  irrC_degree	integer
  irrQ_degree	integer
  irrQ_dim	integer
  irrR_degree	integer
  irrep_stats	numeric[]
  label	text
  linC_count	numeric
  linC_degree	integer
  linFp_degree	integer
  linFq_degree	integer
  linQ_degree	integer
  linQ_degree_count	numeric
  linQ_dim	integer
  linQ_dim_count	numeric
  linR_count	numeric
  linR_degree	integer
  maximal_subgroups_known	boolean
  metabelian	boolean
  metacyclic	boolean
  monomial	boolean
  name	text
  ngens	smallint
  nilpotency_class	smallint
  nilpotent	boolean
  normal_counts	integer[]
  normal_index_bound	numeric
  normal_order_bound	numeric
  normal_subgroups_known	boolean
  number_autjugacy_classes	integer
  number_characteristic_subgroups	integer
  number_conjugacy_classes	integer
  number_divisions	integer
  number_normal_subgroups	integer
  number_subgroup_autclasses	integer
  number_subgroup_classes	integer
  number_subgroups	numeric
  old_label	text
  order	numeric
  order_factorization_type	integer
  order_stats	numeric[]
  outer_abelian	boolean
  outer_cyclic	boolean
  outer_equivalence	boolean
  outer_exponent	numeric
  outer_gen_orders	numeric[]
  outer_gen_pows	numeric[]
  outer_gens	numeric[]
  outer_group	text
  outer_hash	bigint
  outer_nilpotent	boolean
  outer_order	numeric
  outer_permdeg	integer
  outer_perms	numeric[]
  outer_solvable	boolean
  outer_supersolvable	boolean
  outer_tex	text
  pc_rank	smallint
  perfect	boolean
  permutation_degree	integer
  pgroup	smallint
  primary_abelian_invariants	integer[]
  quasisimple	boolean
  rank	smallint
  rational	boolean
  rational_characters_known	boolean
  ratrep_stats	numeric[]
  representations	jsonb
  schur_multiplier	integer[]
  semidirect_product	boolean
  simple	boolean
  smith_abelian_invariants	integer[]
  solvability_type	smallint
  solvable	boolean
  subgroup_inclusions_known	boolean
  subgroup_index_bound	numeric
  supersolvable	boolean
  sylow_subgroups_known	boolean
  tex_name	text
  transitive_degree	integer
  wreath_data	text[]
  wreath_product	boolean

  
  {'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '450.34', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 88620, 'aut_gen_orders': [420, 210, 30, 210], 'aut_gens': [[1, 30], [53791, 79860], [1471, 37470], [23041, 28320], [31081, 69870]], 'aut_group': None, 'aut_hash': 7267833464591879182, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 5317200, 'aut_permdeg': 1688, 'aut_perms': [1855938837679294927980277822846626449377560841504710061996945085082297690960129233037154949449935978154204084517042979914922797132238479775275696051719304203887211031689451876743988563779952658248576541527856029798648787898693323779639668130694020713158667761646316642323564976723676203132157026146887828150391181762207456406749852430815006014166586930813993170474360675604782554984630935195589375611200905497902525416829420896927964755846826866735691000801364870917767350130980920922775051668772532853849584337586455697832921519989677483011837602237433718051820900306812025163013675548378856132122127404247975020835199613577679373484718871422301103569315437334909874236668548621448945535091599669753754231519947116844700785062014630649346173005550039240378592653771786217767176696655839756222236776743781828504906287915977551709899791166242741235613483276175923061473121644867827381563377374053245907435916049025547871540754205595847035957218196314438254964998539145725700568794168480007589225842544075081982566828432805016022799925914194585946822285445595889924354002542540943043837266413049763069433887420969439790265012362189250791751209436480805103004867552633775256956664822605557212637926059530912996111728336297252387811417255880324524877218417536465228625377649723504517806271831677838419926686861608294574631018454566467501804433638784865304567920897813743447063520700981599195776092322702779747054497252103396680001664355315255909318050527699192953012416146419738645939038001709528957811224796166874112788586372053401955329980438189370982838690574765459477944904595946904854931964132006654933986235458904136506019406787684254624783941050273462973061818682249725762070914048608543210897208993823737583600233612590799193240612046481522541029688389492023066554618300308730694107137198330496660069343553965656444601570944759710907991892822186134322861183259217203819259656675779197717462598875216091505998618164847378618273443997326444885007521650763491486522418048782848267600284645853735634307315982709044006767830978188134166255316112097989399768035448536100996304048192585343427484822918326962493846323469841802186526186098521202763240181429543203335502075177181088476073084901150540381071250982886687043396317760728364222594971471510087923999269498362435176736308501912122003249635562587073921280237047979676624135417095402057265045178392030084967381284241788156400718034692391053916450029747197173095483651351539725822754652742215014014158450967036243621129579256030958508603964674681845255622544296187460314131912099868972721856245966255476680444278730846209268854341946251964351537411092362249809681885970066110339426099201698981130971794426051179533011458540753100231149807708940055599566668132879759205017850361222069048716678540754298861919719305269944827694186852107635771164352511856900852918604568693032751289037235993605388652060944109941272270116085083956419488618699132822868944220807928909994030124243870646511834434088141800499671986722543002435700999041635444725880778934210967183150278274787953419760270677227194538005277775922668850193142818384898059585994635800689401918456435893906731418843098481670789987101329298378604613659440380476432729699944246612512315534613393980345258932135656197977728755455051952153311945134580983131203413857660000534268314269369885822176734788204335786693210767945288620446866222032001229702241029422212525018550031204849955189987401464977286583073835560991644362352891344883542014109053303898556543302296066610694083992520137948637816898167489587602745314305487619792846192604555358361410195703855130051262348340386270711003079835555831150750907980159943374322493104103343779693915053254575866729483077779927116784417996973830699275310139744192451782382620829126415862900656311171290876112876130432547037032697889423549871201708736854771374481802354963870109050076406178741194808798651399375044387895838125431095838277757229238482786428673795739357375582762553082040626653558386742915764211478486503344917170978408894535381554949581748276271286859335366936547315553425334485967659076569889468058893018980924328842458208489169648757435933957026922991894423155136986591852294541368995048356621057993357776230848773346598191370491197420503657248538326821914641285939995254635095913107585152609313036118561274098256997787484010223000662156301201615692621819317104742195516243426967467973535949554925292756713279491581146768097289381069454517357369868000507742683572468043092546064077556245451765207147978703011416309956238358015228486242057585070064667164956065086281149555539100356886248107758135157501731233104535474435232074936148155327635566412083121314944507244198757989388143815637499644795593960893366702719611170170723263630767627064999452236121467846, 3210441723166750088204984747212804347600374028903385767815163914652123654701176703605327820393026881360158252105825228711622364286569836159050332416527746412270486178051346779089465265952577548324297981311354253122095051766257293741114406158556688085874933077572263948273793160988710146000037901826170100966189268666747593049007009886663834396116814929655622223418733575112466440266790267080878155030294963064996580165814186389562694527160697521586119187247633554042631255941320701889437064657682512290720494665316255882627357363718252696427572494458341712435274317774329286626571899313876257030667076458994546174400998314221602662300501129990528348021062928976038784098721087417881092277607183662197962027079399944363555857367016393188687531756125588269725432617580677746130685133609029742101458798954637279836062488207687746605435986775197298855561105395628864991353831496080815723305444735127664188363256994199399429082000911274834823818313807764323673483779831713993916656257823356904758820005459298189727303754224847298860797900130940500667044781335407142007689450935566701657731384585499860663963957452230471615297552317305785188117364010837959198341428413371903504083869553825025133521447052926799183190529578729113898024037631031696892091019836593877910351554422214784880052664493327023263058457084417952178156661567049053194666340533457653270793100971301960944765770900913796180299474221690628365738954152833557583371945841271107319212641336398636158932763218835857300474082628761427403759821626836565668740560908757389567043778728161268240660671043498460087699439153051485790135502275738717165262466156358057160699843589300915302943922901068336662942980066913081712844817687235912128421214978330772188868600350189519640486937960644119266272592061760477374112233289132734128423275275316846240932261049705815194004422316838308201768255413538334643016147122774441198704685421427442787689815261083725588313674175844642038786059705053987891100401455177331072788043747701469584062450303424591968070024335905638818303235102823171856349284000416320629354457020164922498804668123744397702523592627842630623525940190602132263086247147920473382880454744887643895434599837144202784611898623336830418539135183057367836690385811460807465191074462002968937572837343071927972280144371236961177086998509616394646233035889964738035299117509295505632656645899118177672707438636433939912934977278178629079035253793464841058896615435650084423576114692237446168087013571525529449871465323409816051867366280410968887465486663959597540361089961493036580565805672104187594091758153441096215102143830081402260768114969239287273946837859333395329220005643931639992922901550969793941017047727236620052400736994760966728350294341320918823622668063401747088150301723101397339560610586092367224769815653410066735504627403177407539020871245738901987173562112574187663255518743165988851091220407828483053432911715369027700015503887063891224013789870379050409214283883071975559071257793787514128445301069908353681824755281635764688002453973380797227586424910881858969298078748512484240174677540726477472946149044275366093254963834854667740808627895538179803197437381278942126064814755279743974756378374995559979832531579790350327379045132008481266116060348020397174493220286101025669087978542887550483784544661347097860378168547893280170870885923819227471220544772097177355678340114720030824639473617692669990018667048626995433807542827274390113802623261131015378123666515742581458736198606705550900908248107713787590065380877473924136582232220632179415654897340734711957313058120779278984832670068209142968313000193668856124518220145043968060904618269189331918756087432362173900196958330338023436232440079212181469170050276655414065572700708943657286983116636706447799460381457165059536704508582224473304493900050865829583348754275719708173512204465892488486695828957878853676295213780085255625885425667738071429182328596980227755127374717860650356403375584518643382366097779321782473593976960642141985910938280453505058773172481493600616663906269503129159581589234851970450095121247070212172055836777122195819161046033901841150359363636764211458358626949563156199489659197025826308955622108297762755328861067218305438889383878005826022815720185831135585400490965026270910048540537060647032104814595313110407223583747104428426404037181655167394873313004723439593271125604661707723433777015068245849638292109231094508222123421252940391771581734798203888666101892868626825703901462340792676796850255901871085735134823342331942749185924428155543523142678042854144532715611986520874573592330672714679909881637053887141614482138353424191025147388402098291622667240159340348399630837736757864233396526412641832276151590440397715395058686715553316, 3823122101453943791367776283771066592423266035871259964179984550789975875006153381826635017272366801618481206728231165396314147460792846773985747103819223769242543347088332178886203639235556237840568320259900385524910660523585951911970747421182869635883016548892161396897557337632052368660442259088987061777407232826888758981217615702911110048821369181168937776128870664092785994471610254996267473801401436206940394604106700680590951843762018650388062175030565511414956766841839574675398064118802104906539334814692460464195104284263490875056456085783857538854633193548390541335395500307214598856963618926957698280402587856960126235320925733504335387674216233943298656759392244382053423830347713818619636779555833706836912362602391142780187222629233525692168853019381093319101225621080907642652095113004991588712914033758755418453079582261810713511565821588954425881781944443016406954410712205450179625917452533856358346553773442066351053549250602027605014658838046474626749392122375025245051789976129999296149693551522138545583222956519955573429146656481528874178903616537725924923425043410810598575913326191512959392752657662348511094055936086213234057636592111100012862797988207057814216848468563365996653999849588673953302603201469864908383347402167834780649235720691219229874582150818858059302638178535439125745295997393753680158775842810742024988856909437554297321169815837767337626632056968604957706370197442126756232926937575177123244754110702414794363853680933111547187802873498116628005387006882347945238752376691976822476918321158393429540361143951785032183151022021751855439512353767058493020547558962740407867445911335977862271746909298574960895289453233536761367987924649634998376828295168054780277075204476040068585347175039657523666005906935734847499318035995432562293407253632258911914297354128732348941515292551360888141032283131499490108661846466114537832000471218580167943223323442140373006313766905859155807366777899110007137442929531181751150894096674094799148299855191098451809443395466391213583488423495096441307672461374686728468570563838351084531328767264337577620507959360769245553267701104888934604114617478960953612205359521247186381255451880752089412798229375786566541347316482254040158142214430889687615168867944514724449507080007073367305864476353932530052379154848565869161593876623857983321986610798145676411436046222005280392410970524673364025440506568097804754418456315281527449651589430151016883354858230906785988384778814038649997245666625066413939567134754250558740366909702483074225742270338058088088430915630913308055824569624916811820853971169416938078517936947062421240364294523599997898587524957598445247902435330589326627331546967178189602096480913424481426984855500689952501908420400610723219620836661599007285525578439121504479185732162174685281050213753544384356410354532869363138137674689632087394873627383128297177215924487937826613889536748029849352617903642681579657929047189315908340061891430994895367910915704349698913901401230593410550297132687637456568508231959708364568145814685127639521230103508727005589653780481065457721751173759599639433656565692003275164998673450869700545744933442435706441980614524099314621101819819272321876102962360264032208352131586196093544141822666852500321052586366668992228583535929065306121442580698480019976582334172865727351340627184600206921493903403362368336409392361806177959808351776855261306800001822919094585886935495666508260516768779254833676544927794191518315199096063024250481951904462570841860202452629082785434359641360963739121482925917507795409233350398495071236632796270457745763390583152396906089143332428326521842563875227190705744453034931742981309364473602004856744561787540153647070476266495982553808107757779966226126214015443345052060476072488500367217879814313931529794966157847591050097760635267699550760155565977059581600607023364193792955805899584535953045762177311783666624485732218610242776864394482749060697349429047962236578053945927002860670165475616732203264669401721665691558734446569950144146989227752761231552986293818776849663455856843835842281083962603705197730860309502882256455336193427395919823621246476003965425423201097697633596693949791460368064536549076378807427858196804876378646801837474516775338847464030468027427634627815172402617581084086758736879750304440526064354764664109597006592479330120723744133617583870687545682650618412835950415085134345756376743218925551592124453355278232450861024602602446303306207046523158333937583119496698975951762221083921954764495211231942097118820218857686154780344821679545161424213143230023609772264802637157409921547869190370044321871877037596687489771805871842851660185159920344416944630735181657704663675267513979055415161463948348253896324, 3418554162356227523953461659470021020927916738413012476897976820785266505400498957258062332036622150325579921826948320453234284018173039388758985536513331835263247720917781696637531878100370512908503046866807216678358960586288474327163735764976035556629042776918008451539400739005713153573874509213794909556146963411170483923634760231951232131115952314703584870126884447164113372847509694736941781016840511176087351798766277386857521543246508887161680138899983154894324020562465191056578041514185377643625852522735801411507499825870290930705506505123753539906949656990060309082909990144352289532287275397897758151254502041287924370259677355192551469187399170717799604688217481187541287117369418547785523829688275486193438836819221511936730240274190903122434047414762587186849966171323466399084872175335808196713269632266140022306552208574289307574724856872471682941678376101499039556903474604510972346245931117598118182332972733863354712319000158498625570454607196110608571817579761301198172114563216185783234644135169202090606543497063766292086822828542388748248677989641960814238329118248201958185420801249788645711331283755757818966164038310422294471319140898416471199166292069475055390851767599677488880886000985266103602778884612136416053335158223795659455077226746473404045864691929104629271650815077914687564010970845874348858101625756097105134900323737034853850789270818222124341156380497232313915602015235571150920477508394601684704968286158625202780832968167779307612574655433898348200431936115093203615060875861185393181003875104571736558871105646382813349900041503812857198631587639590423620667782345670335091283549433993092487157096292811060775403419147910296079516933243311570836934280559702404690828617749648779488332365650967414798621977871383783149070678740707471020925161115769167201105707916104020627994496161626347889580452658044084865138662255677076129985462006785212311454565825167847929210492537346750674857524795206723547122013851561841350436434448002652597028651381408205506355118863502647066658303335828468466437364024668306597455382697540035580210626489295840715908406574752517943983389711559991271972485712246865242217441173002667759636908539167673664429668990982756024321862495128160646015170463931460646732575769295608596654691315717614948897543395387319165783196857330518123811842993928563782742735507782233892412718805297549578130120118750323518185940006952373426239143221897552272340449445676008995593639765640798018192280969424267280598819909292574796961356608911565027282728492664804441511397487139634701476578792516820441972691223938234746859072790358203793803833345234997037625618312346578154271098123525644680794721141907228132194649778259930519179075297034795285647703383534727957805828480483989460486540053638783253303278433040849579195962558739879007130917417737086856688554695292378368018744675519854005926693458020429785306538656419368732226463730806569184959816640825792137390921674489789690876476841770254587311350100916301534843599568522911816376275676263468551098348625443479626125697186253343725895998044276332319379045541796327739843531409456977072264781467231936205593736108899898628122402017671794571154983135358524855743212621469009203314443082876281268634952557697302316329640222768329314063741987438363732481523572607629185410602650287515307104574928230158956319181007851858553772531802009642884307310614537425339096547460051464407225820245756343169492086137111070302126664550306758265021383633323799860880369152955883379103001546630724507558254707496138034565140028510107684292714506220034735259280433646070402421087133083791264165274241389398314443117927748417991715222473095933149553876091006087309692522405523276289194190999527263789554105426651850915676308227245111779380522798243241056364006083288644861453102284880919986067098214493774277802521006323574612841765159418373073319184334155739327845438556666288213037198498833634788018952298674382394262087936732736176460852270195940662640578522916033630306185442428255527910212255862513610422667968803610973875662927732816018304253191194636622131506446989572854158415088496155833732636610891686850641190010874943976517888763522347692686125741738747379735345355419370265215207138538800316166607627339113784812413413998800335291630978293172636329035538613903168090372629306993614641218329096909003452134670425918957896971030041667990157162828549314297381425717736004242103750259655977701840992473427852424222009957776260661039172684585162613589268768205630872745380741097801822447998221673030251215328356621270293687840965653521320737492634937585769873514601217892568925713500905470353797204217824337729068455931886353349364698743042165851659743391763162203075262960704173891893166102912086406445812640190526875], 'aut_phi_ratio': 211.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 211, 1, 1], [3, 1, 2, 1], [3, 211, 3, 2], [5, 1, 4, 1], [5, 211, 5, 4], [6, 211, 2, 1], [6, 211, 3, 2], [10, 211, 4, 1], [10, 211, 5, 4], [15, 1, 8, 1], [15, 211, 10, 4], [15, 211, 12, 2], [15, 211, 15, 8], [30, 211, 8, 1], [30, 211, 10, 4], [30, 211, 12, 2], [30, 211, 15, 8], [211, 30, 7, 1], [633, 30, 14, 1], [1055, 30, 28, 1], [3165, 30, 56, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{3165}.C_{210}.C_2^3', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 60, 'autcent_group': '120.36', 'autcent_hash': 36, 'autcent_nilpotent': False, 'autcent_order': 120, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'S_3\\times F_5', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 44310, 'autcentquo_group': '44310.90', 'autcentquo_hash': 90, 'autcentquo_nilpotent': False, 'autcentquo_order': 44310, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_{211}', 'cc_stats': [[1, 1, 1], [2, 211, 1], [3, 1, 2], [3, 211, 6], [5, 1, 4], [5, 211, 20], [6, 211, 8], [10, 211, 24], [15, 1, 8], [15, 211, 184], [30, 211, 192], [211, 30, 7], [633, 30, 14], [1055, 30, 28], [3165, 30, 56]], 'center_label': '15.1', 'center_order': 15, 'central_product': True, 'central_quotient': '6330.h', 'commutator_count': 1, 'commutator_label': '211.1', 'complements_known': True, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '3.1', '3.1', '5.1', '5.1', '211.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 2, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['5.1', 1], ['6330.h', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 211, 1, 1], [3, 1, 2, 1], [3, 211, 2, 3], [5, 1, 4, 1], [5, 211, 4, 5], [6, 211, 2, 4], [10, 211, 4, 6], [15, 1, 8, 1], [15, 211, 8, 23], [30, 211, 8, 24], [211, 30, 7, 1], [633, 30, 14, 1], [1055, 30, 28, 1], [3165, 30, 56, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 576, 'exponent': 6330, 'exponents_of_order': [2, 2, 1, 1], 'factors_of_aut_order': [2, 3, 5, 7, 211], 'factors_of_order': [2, 3, 5, 211], 'faithful_reps': [[30, 0, 56]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '94950.b', 'hash': 8017450165717436682, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6330, 'inner_gen_orders': [30, 211], 'inner_gens': [[1, 54480], [40501, 30]], 'inner_hash': 18, 'inner_nilpotent': False, 'inner_order': 6330, 'inner_split': True, 'inner_tex': 'C_{211}:C_{30}', 'inner_used': [1, 2], 'irrC_degree': 30, 'irrQ_degree': 1680, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': [[1, 450], [30, 105]], 'label': '94950.b', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C3165:C30', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 52, 'number_characteristic_subgroups': 22, 'number_conjugacy_classes': 555, 'number_divisions': 74, 'number_normal_subgroups': 100, 'number_subgroup_autclasses': 64, 'number_subgroup_classes': 192, 'number_subgroups': 19512, 'old_label': None, 'order': 94950, 'order_factorization_type': 222, 'order_stats': [[1, 1], [2, 211], [3, 1268], [5, 4224], [6, 1688], [10, 5064], [15, 38832], [30, 40512], [211, 210], [633, 420], [1055, 840], [3165, 1680]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 420, 'outer_gen_orders': [2, 4, 105], 'outer_gen_pows': [0, 0, 15], 'outer_gens': [[31651, 75930], [37981, 88590], [44311, 34230]], 'outer_group': '840.146', 'outer_hash': 146, 'outer_nilpotent': False, 'outer_order': 840, 'outer_permdeg': 15, 'outer_perms': [720, 13, 375537264576], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_{15}:C_{28}', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 219, 'pgroup': 0, 'primary_abelian_invariants': [2, 3, 3, 5, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 2], [2, 8], [4, 12], [8, 48], [210, 1], [420, 1], [840, 1], [1680, 1]], 'representations': {'PC': {'code': '5118814298351163347138505401938061602712144435534959803823240134496430914759637939', 'gens': [1, 4], 'pres': [6, -2, -3, -5, -3, -5, -211, 12, 43, 1307523, 1112769, 367335, 93, 2054704, 1324360, 427966, 178, 2073605, 1109711, 288917]}, 'GLFp': {'d': 2, 'p': 211, 'gens': [1258786891, 9394143, 1202423169]}, 'Perm': {'d': 219, 'gens': [4409456913209116346844399301695179123369710234545095688968874001243296713042984606860951647361897344063722296004279134016196026950009615203229441636921938788698883953017928177080160569956549317544458608790497503869176146168044160669870045479120941255685605807484387223189742312421021464416989161305892103405286947724004305257306419876172898923513625794722309706188662212386809668736770879736349436525409051256370707, 6593958715557254193808838322209494236420823792780489534248951815990175151429651526501105546764304084981138825596625236984231237324827739805482534512511368789837537480577755338585638262753322792524794544019619341758637966231396905376631385375251486680571892218076423964445678655413390838771396056821857717027841306950215653264440164281764587329551909405282252987449880727811683661780334321993698875510936732637123440, 482724933161953314679798576659112699002861393194301898890454040670730773091720846249885422887487858658881882309752544831146757036513672781740064600466324727209400402264983359764589158497167414558355958711575167018253193990726535465921602430504228422520690271269559759375681037626259373663527815537127700959893687463980382687821002326809771468785670989251831629189785555456058692725722173950484833008252826337998374400]}}, 'schur_multiplier': [15], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [15, 30], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{3165}:C_{30}', 'transitive_degree': 3165, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

  Column	Type
  aut_label	text
  centralizer	text
  counter	integer
  group_counter	integer
  group_order	numeric
  label	text
  order	integer
  powers	integer[]
  representative	numeric
  size	numeric

  
  
  • id: 97994841
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 2, 'group_order': 94950, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1, 1], 'representative': 0, 'size': 1}
  • id: 97994952
    {'aut_label': '2A', 'centralizer': '211.a1', 'counter': 2, 'group_counter': 2, 'group_order': 94950, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2, 2], 'representative': 15, 'size': 211}
  • id: 97995063
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 2, 'group_order': 94950, 'label': '3A1', 'order': 3, 'powers': [4, 1, 4, 3, 3], 'representative': 63300, 'size': 1}
  • id: 97995174
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 2, 'group_order': 94950, 'label': '3A-1', 'order': 3, 'powers': [3, 1, 3, 4, 4], 'representative': 31650, 'size': 1}
  • id: 97995285
    {'aut_label': '3B1', 'centralizer': '211.a1', 'counter': 5, 'group_counter': 2, 'group_order': 94950, 'label': '3B1', 'order': 3, 'powers': [6, 1, 6, 5, 5], 'representative': 10, 'size': 211}
  • id: 97995352
    {'aut_label': '3B-1', 'centralizer': '211.a1', 'counter': 6, 'group_counter': 2, 'group_order': 94950, 'label': '3B-1', 'order': 3, 'powers': [5, 1, 5, 6, 6], 'representative': 20, 'size': 211}
  • id: 97995363
    {'aut_label': '3B1', 'centralizer': '211.a1', 'counter': 7, 'group_counter': 2, 'group_order': 94950, 'label': '3C1', 'order': 3, 'powers': [8, 1, 8, 7, 7], 'representative': 30460, 'size': 211}
  • id: 97995374
    {'aut_label': '3B-1', 'centralizer': '211.a1', 'counter': 8, 'group_counter': 2, 'group_order': 94950, 'label': '3C-1', 'order': 3, 'powers': [7, 1, 7, 8, 8], 'representative': 16820, 'size': 211}
  • id: 97995385
    {'aut_label': '3B1', 'centralizer': '211.a1', 'counter': 9, 'group_counter': 2, 'group_order': 94950, 'label': '3D1', 'order': 3, 'powers': [10, 1, 10, 9, 9], 'representative': 60910, 'size': 211}
  • id: 97994842
    {'aut_label': '3B-1', 'centralizer': '211.a1', 'counter': 10, 'group_counter': 2, 'group_order': 94950, 'label': '3D-1', 'order': 3, 'powers': [9, 1, 9, 10, 10], 'representative': 33620, 'size': 211}
  • id: 97994853
    {'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 11, 'group_counter': 2, 'group_order': 94950, 'label': '5A1', 'order': 5, 'powers': [13, 14, 1, 13, 11], 'representative': 18990, 'size': 1}
  • id: 97994864
    {'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 12, 'group_counter': 2, 'group_order': 94950, 'label': '5A-1', 'order': 5, 'powers': [14, 13, 1, 14, 12], 'representative': 75960, 'size': 1}
  • id: 97994875
    {'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 13, 'group_counter': 2, 'group_order': 94950, 'label': '5A2', 'order': 5, 'powers': [12, 11, 1, 12, 13], 'representative': 37980, 'size': 1}
  • id: 97994886
    {'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 14, 'group_counter': 2, 'group_order': 94950, 'label': '5A-2', 'order': 5, 'powers': [11, 12, 1, 11, 14], 'representative': 56970, 'size': 1}
  • id: 97994897
    {'aut_label': '5B1', 'centralizer': '211.a1', 'counter': 15, 'group_counter': 2, 'group_order': 94950, 'label': '5B1', 'order': 5, 'powers': [17, 18, 1, 17, 15], 'representative': 6, 'size': 211}
  • id: 97994908
    {'aut_label': '5B-1', 'centralizer': '211.a1', 'counter': 16, 'group_counter': 2, 'group_order': 94950, 'label': '5B-1', 'order': 5, 'powers': [18, 17, 1, 18, 16], 'representative': 24, 'size': 211}
  • id: 97994919
    {'aut_label': '5B2', 'centralizer': '211.a1', 'counter': 17, 'group_counter': 2, 'group_order': 94950, 'label': '5B2', 'order': 5, 'powers': [16, 15, 1, 16, 17], 'representative': 12, 'size': 211}
  • id: 97994930
    {'aut_label': '5B-2', 'centralizer': '211.a1', 'counter': 18, 'group_counter': 2, 'group_order': 94950, 'label': '5B-2', 'order': 5, 'powers': [15, 16, 1, 15, 18], 'representative': 18, 'size': 211}
  • id: 97994941
    {'aut_label': '5B1', 'centralizer': '211.a1', 'counter': 19, 'group_counter': 2, 'group_order': 94950, 'label': '5C1', 'order': 5, 'powers': [21, 22, 1, 21, 19], 'representative': 42846, 'size': 211}
  • id: 97994953
    {'aut_label': '5B-1', 'centralizer': '211.a1', 'counter': 20, 'group_counter': 2, 'group_order': 94950, 'label': '5C-1', 'order': 5, 'powers': [22, 21, 1, 22, 20], 'representative': 91734, 'size': 211}
  • id: 97994964
    {'aut_label': '5B2', 'centralizer': '211.a1', 'counter': 21, 'group_counter': 2, 'group_order': 94950, 'label': '5C2', 'order': 5, 'powers': [20, 19, 1, 20, 21], 'representative': 50142, 'size': 211}
  • id: 97994975
    {'aut_label': '5B-2', 'centralizer': '211.a1', 'counter': 22, 'group_counter': 2, 'group_order': 94950, 'label': '5C-2', 'order': 5, 'powers': [19, 20, 1, 19, 22], 'representative': 51588, 'size': 211}
  • id: 97994986
    {'aut_label': '5B1', 'centralizer': '211.a1', 'counter': 23, 'group_counter': 2, 'group_order': 94950, 'label': '5D1', 'order': 5, 'powers': [25, 26, 1, 25, 23], 'representative': 77586, 'size': 211}
  • id: 97994997
    {'aut_label': '5B-1', 'centralizer': '211.a1', 'counter': 24, 'group_counter': 2, 'group_order': 94950, 'label': '5D-1', 'order': 5, 'powers': [26, 25, 1, 26, 24], 'representative': 93894, 'size': 211}
  • id: 97995008
    {'aut_label': '5B2', 'centralizer': '211.a1', 'counter': 25, 'group_counter': 2, 'group_order': 94950, 'label': '5D2', 'order': 5, 'powers': [24, 23, 1, 24, 25], 'representative': 80022, 'size': 211}
  • id: 97995019
    {'aut_label': '5B-2', 'centralizer': '211.a1', 'counter': 26, 'group_counter': 2, 'group_order': 94950, 'label': '5D-2', 'order': 5, 'powers': [23, 24, 1, 23, 26], 'representative': 17208, 'size': 211}
  • id: 97995030
    {'aut_label': '5B1', 'centralizer': '211.a1', 'counter': 27, 'group_counter': 2, 'group_order': 94950, 'label': '5E1', 'order': 5, 'powers': [29, 30, 1, 29, 27], 'representative': 60216, 'size': 211}
  • id: 97995041
    {'aut_label': '5B-1', 'centralizer': '211.a1', 'counter': 28, 'group_counter': 2, 'group_order': 94950, 'label': '5E-1', 'order': 5, 'powers': [30, 29, 1, 30, 28], 'representative': 92814, 'size': 211}
  • id: 97995052
    {'aut_label': '5B2', 'centralizer': '211.a1', 'counter': 29, 'group_counter': 2, 'group_order': 94950, 'label': '5E2', 'order': 5, 'powers': [28, 27, 1, 28, 29], 'representative': 65082, 'size': 211}
  • id: 97995064
    {'aut_label': '5B-2', 'centralizer': '211.a1', 'counter': 30, 'group_counter': 2, 'group_order': 94950, 'label': '5E-2', 'order': 5, 'powers': [27, 28, 1, 27, 30], 'representative': 34398, 'size': 211}
  • id: 97995075
    {'aut_label': '5B1', 'centralizer': '211.a1', 'counter': 31, 'group_counter': 2, 'group_order': 94950, 'label': '5F1', 'order': 5, 'powers': [33, 34, 1, 33, 31], 'representative': 33576, 'size': 211}
  • id: 97995086
    {'aut_label': '5B-1', 'centralizer': '211.a1', 'counter': 32, 'group_counter': 2, 'group_order': 94950, 'label': '5F-1', 'order': 5, 'powers': [34, 33, 1, 34, 32], 'representative': 85254, 'size': 211}
  • id: 97995097
    {'aut_label': '5B2', 'centralizer': '211.a1', 'counter': 33, 'group_counter': 2, 'group_order': 94950, 'label': '5F2', 'order': 5, 'powers': [32, 31, 1, 32, 33], 'representative': 55452, 'size': 211}
  • id: 97995108
    {'aut_label': '5B-2', 'centralizer': '211.a1', 'counter': 34, 'group_counter': 2, 'group_order': 94950, 'label': '5F-2', 'order': 5, 'powers': [31, 32, 1, 31, 34], 'representative': 59778, 'size': 211}
  • id: 97995119
    {'aut_label': '6A1', 'centralizer': '211.a1', 'counter': 35, 'group_counter': 2, 'group_order': 94950, 'label': '6A1', 'order': 6, 'powers': [5, 2, 36, 35, 35], 'representative': 5, 'size': 211}
  • id: 97995130
    {'aut_label': '6A-1', 'centralizer': '211.a1', 'counter': 36, 'group_counter': 2, 'group_order': 94950, 'label': '6A-1', 'order': 6, 'powers': [6, 2, 35, 36, 36], 'representative': 25, 'size': 211}
  • id: 97995141
    {'aut_label': '6A1', 'centralizer': '211.a1', 'counter': 37, 'group_counter': 2, 'group_order': 94950, 'label': '6B1', 'order': 6, 'powers': [7, 2, 38, 37, 37], 'representative': 78005, 'size': 211}
  • id: 97995152
    {'aut_label': '6A-1', 'centralizer': '211.a1', 'counter': 38, 'group_counter': 2, 'group_order': 94950, 'label': '6B-1', 'order': 6, 'powers': [8, 2, 37, 38, 38], 'representative': 32725, 'size': 211}
  • id: 97995163
    {'aut_label': '6A1', 'centralizer': '211.a1', 'counter': 39, 'group_counter': 2, 'group_order': 94950, 'label': '6C1', 'order': 6, 'powers': [9, 2, 40, 39, 39], 'representative': 61055, 'size': 211}
  • id: 97995175
    {'aut_label': '6A-1', 'centralizer': '211.a1', 'counter': 40, 'group_counter': 2, 'group_order': 94950, 'label': '6C-1', 'order': 6, 'powers': [10, 2, 39, 40, 40], 'representative': 65425, 'size': 211}
  • id: 97995186
    {'aut_label': '6D1', 'centralizer': '211.a1', 'counter': 41, 'group_counter': 2, 'group_order': 94950, 'label': '6D1', 'order': 6, 'powers': [3, 2, 42, 41, 41], 'representative': 66765, 'size': 211}
  • id: 97995197
    {'aut_label': '6D1', 'centralizer': '211.a1', 'counter': 42, 'group_counter': 2, 'group_order': 94950, 'label': '6D-1', 'order': 6, 'powers': [4, 2, 41, 42, 42], 'representative': 3465, 'size': 211}
  • id: 97995208
    {'aut_label': '10A1', 'centralizer': '211.a1', 'counter': 43, 'group_counter': 2, 'group_order': 94950, 'label': '10A1', 'order': 10, 'powers': [15, 45, 2, 46, 43], 'representative': 3, 'size': 211}
  • id: 97995219
    {'aut_label': '10A-1', 'centralizer': '211.a1', 'counter': 44, 'group_counter': 2, 'group_order': 94950, 'label': '10A-1', 'order': 10, 'powers': [16, 46, 2, 45, 44], 'representative': 27, 'size': 211}
  • id: 97995230
    {'aut_label': '10A3', 'centralizer': '211.a1', 'counter': 45, 'group_counter': 2, 'group_order': 94950, 'label': '10A3', 'order': 10, 'powers': [18, 44, 2, 43, 45], 'representative': 9, 'size': 211}
  • id: 97995241
    {'aut_label': '10A-3', 'centralizer': '211.a1', 'counter': 46, 'group_counter': 2, 'group_order': 94950, 'label': '10A-3', 'order': 10, 'powers': [17, 43, 2, 44, 46], 'representative': 21, 'size': 211}
  • id: 97995252
    {'aut_label': '10A1', 'centralizer': '211.a1', 'counter': 47, 'group_counter': 2, 'group_order': 94950, 'label': '10B1', 'order': 10, 'powers': [19, 49, 2, 50, 47], 'representative': 61923, 'size': 211}
  • id: 97995263
    {'aut_label': '10A-1', 'centralizer': '211.a1', 'counter': 48, 'group_counter': 2, 'group_order': 94950, 'label': '10B-1', 'order': 10, 'powers': [20, 50, 2, 49, 48], 'representative': 25407, 'size': 211}
  • id: 97995274
    {'aut_label': '10A3', 'centralizer': '211.a1', 'counter': 49, 'group_counter': 2, 'group_order': 94950, 'label': '10B3', 'order': 10, 'powers': [22, 48, 2, 47, 49], 'representative': 59769, 'size': 211}
  • id: 97995286
    {'aut_label': '10A-3', 'centralizer': '211.a1', 'counter': 50, 'group_counter': 2, 'group_order': 94950, 'label': '10B-3', 'order': 10, 'powers': [21, 47, 2, 48, 50], 'representative': 89661, 'size': 211}
  • id: 97995297
    {'aut_label': '10A1', 'centralizer': '211.a1', 'counter': 51, 'group_counter': 2, 'group_order': 94950, 'label': '10C1', 'order': 10, 'powers': [23, 53, 2, 54, 51], 'representative': 52293, 'size': 211}
  • id: 97995308
    {'aut_label': '10A-1', 'centralizer': '211.a1', 'counter': 52, 'group_counter': 2, 'group_order': 94950, 'label': '10C-1', 'order': 10, 'powers': [24, 54, 2, 53, 52], 'representative': 8487, 'size': 211}
  • id: 97995319
    {'aut_label': '10A3', 'centralizer': '211.a1', 'counter': 53, 'group_counter': 2, 'group_order': 94950, 'label': '10C3', 'order': 10, 'powers': [26, 52, 2, 51, 53], 'representative': 51579, 'size': 211}
  • id: 97995330
    {'aut_label': '10A-3', 'centralizer': '211.a1', 'counter': 54, 'group_counter': 2, 'group_order': 94950, 'label': '10C-3', 'order': 10, 'powers': [25, 51, 2, 52, 54], 'representative': 29901, 'size': 211}
  • id: 97995341
    {'aut_label': '10A1', 'centralizer': '211.a1', 'counter': 55, 'group_counter': 2, 'group_order': 94950, 'label': '10D1', 'order': 10, 'powers': [27, 57, 2, 58, 55], 'representative': 9633, 'size': 211}
  • id: 97995348
    {'aut_label': '10A-1', 'centralizer': '211.a1', 'counter': 56, 'group_counter': 2, 'group_order': 94950, 'label': '10D-1', 'order': 10, 'powers': [28, 58, 2, 57, 56], 'representative': 16947, 'size': 211}
  • id: 97995349
    {'aut_label': '10A3', 'centralizer': '211.a1', 'counter': 57, 'group_counter': 2, 'group_order': 94950, 'label': '10D3', 'order': 10, 'powers': [30, 56, 2, 55, 57], 'representative': 8199, 'size': 211}
  • id: 97995350
    {'aut_label': '10A-3', 'centralizer': '211.a1', 'counter': 58, 'group_counter': 2, 'group_order': 94950, 'label': '10D-3', 'order': 10, 'powers': [29, 55, 2, 56, 58], 'representative': 59781, 'size': 211}
  • id: 97995351
    {'aut_label': '10A1', 'centralizer': '211.a1', 'counter': 59, 'group_counter': 2, 'group_order': 94950, 'label': '10E1', 'order': 10, 'powers': [31, 61, 2, 62, 59], 'representative': 90813, 'size': 211}
  • id: 97995353
    {'aut_label': '10A-1', 'centralizer': '211.a1', 'counter': 60, 'group_counter': 2, 'group_order': 94950, 'label': '10E-1', 'order': 10, 'powers': [32, 62, 2, 61, 60], 'representative': 76167, 'size': 211}
  • id: 97995354
    {'aut_label': '10A3', 'centralizer': '211.a1', 'counter': 61, 'group_counter': 2, 'group_order': 94950, 'label': '10E3', 'order': 10, 'powers': [34, 60, 2, 59, 61], 'representative': 84339, 'size': 211}
  • id: 97995355
    {'aut_label': '10A-3', 'centralizer': '211.a1', 'counter': 62, 'group_counter': 2, 'group_order': 94950, 'label': '10E-3', 'order': 10, 'powers': [33, 59, 2, 60, 62], 'representative': 79041, 'size': 211}
  • id: 97995356
    {'aut_label': '10F1', 'centralizer': '211.a1', 'counter': 63, 'group_counter': 2, 'group_order': 94950, 'label': '10F1', 'order': 10, 'powers': [11, 65, 2, 66, 63], 'representative': 16485, 'size': 211}
  • id: 97995357
    {'aut_label': '10F1', 'centralizer': '211.a1', 'counter': 64, 'group_counter': 2, 'group_order': 94950, 'label': '10F-1', 'order': 10, 'powers': [12, 66, 2, 65, 64], 'representative': 92445, 'size': 211}
  • id: 97995358
    {'aut_label': '10F1', 'centralizer': '211.a1', 'counter': 65, 'group_counter': 2, 'group_order': 94950, 'label': '10F3', 'order': 10, 'powers': [14, 64, 2, 63, 65], 'representative': 35475, 'size': 211}
  • id: 97995359
    {'aut_label': '10F1', 'centralizer': '211.a1', 'counter': 66, 'group_counter': 2, 'group_order': 94950, 'label': '10F-3', 'order': 10, 'powers': [13, 63, 2, 64, 66], 'representative': 73455, 'size': 211}
  • id: 97995360
    {'aut_label': '15A1', 'centralizer': '1.a1', 'counter': 67, 'group_counter': 2, 'group_order': 94950, 'label': '15A1', 'order': 15, 'powers': [69, 13, 3, 73, 67], 'representative': 12660, 'size': 1}
  • id: 97995361
    {'aut_label': '15A1', 'centralizer': '1.a1', 'counter': 68, 'group_counter': 2, 'group_order': 94950, 'label': '15A-1', 'order': 15, 'powers': [70, 14, 4, 74, 68], 'representative': 82290, 'size': 1}
  • id: 97995362
    {'aut_label': '15A1', 'centralizer': '1.a1', 'counter': 69, 'group_counter': 2, 'group_order': 94950, 'label': '15A2', 'order': 15, 'powers': [71, 12, 4, 68, 69], 'representative': 25320, 'size': 1}
  • id: 97995364
    {'aut_label': '15A1', 'centralizer': '1.a1', 'counter': 70, 'group_counter': 2, 'group_order': 94950, 'label': '15A-2', 'order': 15, 'powers': [72, 11, 3, 67, 70], 'representative': 69630, 'size': 1}
  • id: 97995365
    {'aut_label': '15A1', 'centralizer': '1.a1', 'counter': 71, 'group_counter': 2, 'group_order': 94950, 'label': '15A4', 'order': 15, 'powers': [74, 14, 3, 70, 71], 'representative': 50640, 'size': 1}
  • id: 97995366
    {'aut_label': '15A1', 'centralizer': '1.a1', 'counter': 72, 'group_counter': 2, 'group_order': 94950, 'label': '15A-4', 'order': 15, 'powers': [73, 13, 4, 69, 72], 'representative': 44310, 'size': 1}
  • id: 97995367
    {'aut_label': '15A1', 'centralizer': '1.a1', 'counter': 73, 'group_counter': 2, 'group_order': 94950, 'label': '15A7', 'order': 15, 'powers': [68, 12, 3, 71, 73], 'representative': 88620, 'size': 1}
  • id: 97995368
    {'aut_label': '15A1', 'centralizer': '1.a1', 'counter': 74, 'group_counter': 2, 'group_order': 94950, 'label': '15A-7', 'order': 15, 'powers': [67, 11, 4, 72, 74], 'representative': 6330, 'size': 1}
  • id: 97995369
    {'aut_label': '15B1', 'centralizer': '211.a1', 'counter': 75, 'group_counter': 2, 'group_order': 94950, 'label': '15B1', 'order': 15, 'powers': [77, 15, 5, 81, 75], 'representative': 2, 'size': 211}
  • id: 97995370
    {'aut_label': '15B-1', 'centralizer': '211.a1', 'counter': 76, 'group_counter': 2, 'group_order': 94950, 'label': '15B-1', 'order': 15, 'powers': [78, 16, 6, 82, 76], 'representative': 28, 'size': 211}
  • id: 97995371
    {'aut_label': '15B2', 'centralizer': '211.a1', 'counter': 77, 'group_counter': 2, 'group_order': 94950, 'label': '15B2', 'order': 15, 'powers': [79, 17, 6, 76, 77], 'representative': 4, 'size': 211}
  • id: 97995372
    {'aut_label': '15B-2', 'centralizer': '211.a1', 'counter': 78, 'group_counter': 2, 'group_order': 94950, 'label': '15B-2', 'order': 15, 'powers': [80, 18, 5, 75, 78], 'representative': 26, 'size': 211}
  • id: 97995373
    {'aut_label': '15B4', 'centralizer': '211.a1', 'counter': 79, 'group_counter': 2, 'group_order': 94950, 'label': '15B4', 'order': 15, 'powers': [82, 16, 5, 78, 79], 'representative': 8, 'size': 211}
  • id: 97995375
    {'aut_label': '15B-4', 'centralizer': '211.a1', 'counter': 80, 'group_counter': 2, 'group_order': 94950, 'label': '15B-4', 'order': 15, 'powers': [81, 15, 6, 77, 80], 'representative': 22, 'size': 211}
  • id: 97995376
    {'aut_label': '15B7', 'centralizer': '211.a1', 'counter': 81, 'group_counter': 2, 'group_order': 94950, 'label': '15B7', 'order': 15, 'powers': [76, 17, 5, 79, 81], 'representative': 14, 'size': 211}
  • id: 97995377
    {'aut_label': '15B-7', 'centralizer': '211.a1', 'counter': 82, 'group_counter': 2, 'group_order': 94950, 'label': '15B-7', 'order': 15, 'powers': [75, 18, 6, 80, 82], 'representative': 16, 'size': 211}
  • id: 97995378
    {'aut_label': '15B1', 'centralizer': '211.a1', 'counter': 83, 'group_counter': 2, 'group_order': 94950, 'label': '15C1', 'order': 15, 'powers': [85, 19, 5, 89, 83], 'representative': 68582, 'size': 211}
  • id: 97995379
    {'aut_label': '15B-1', 'centralizer': '211.a1', 'counter': 84, 'group_counter': 2, 'group_order': 94950, 'label': '15C-1', 'order': 15, 'powers': [86, 20, 6, 90, 84], 'representative': 39448, 'size': 211}
  • id: 97995380
    {'aut_label': '15B2', 'centralizer': '211.a1', 'counter': 85, 'group_counter': 2, 'group_order': 94950, 'label': '15C2', 'order': 15, 'powers': [87, 21, 6, 84, 85], 'representative': 26014, 'size': 211}
  • id: 97995381
    {'aut_label': '15B-2', 'centralizer': '211.a1', 'counter': 86, 'group_counter': 2, 'group_order': 94950, 'label': '15C-2', 'order': 15, 'powers': [88, 22, 5, 83, 86], 'representative': 23516, 'size': 211}
  • id: 97995382
    {'aut_label': '15B4', 'centralizer': '211.a1', 'counter': 87, 'group_counter': 2, 'group_order': 94950, 'label': '15C4', 'order': 15, 'powers': [90, 20, 5, 86, 87], 'representative': 31778, 'size': 211}
  • id: 97995383
    {'aut_label': '15B-4', 'centralizer': '211.a1', 'counter': 88, 'group_counter': 2, 'group_order': 94950, 'label': '15C-4', 'order': 15, 'powers': [89, 19, 6, 85, 88], 'representative': 42052, 'size': 211}
  • id: 97995384
    {'aut_label': '15B7', 'centralizer': '211.a1', 'counter': 89, 'group_counter': 2, 'group_order': 94950, 'label': '15C7', 'order': 15, 'powers': [84, 21, 5, 87, 89], 'representative': 62024, 'size': 211}
  • id: 97995386
    {'aut_label': '15B-7', 'centralizer': '211.a1', 'counter': 90, 'group_counter': 2, 'group_order': 94950, 'label': '15C-7', 'order': 15, 'powers': [83, 22, 6, 88, 90], 'representative': 37456, 'size': 211}
  • id: 97995387
    {'aut_label': '15B1', 'centralizer': '211.a1', 'counter': 91, 'group_counter': 2, 'group_order': 94950, 'label': '15D1', 'order': 15, 'powers': [93, 23, 7, 97, 91], 'representative': 54512, 'size': 211}
  • id: 97995388
    {'aut_label': '15B-1', 'centralizer': '211.a1', 'counter': 92, 'group_counter': 2, 'group_order': 94950, 'label': '15D-1', 'order': 15, 'powers': [94, 24, 8, 98, 92], 'representative': 76468, 'size': 211}
  • id: 97995389
    {'aut_label': '15B2', 'centralizer': '211.a1', 'counter': 93, 'group_counter': 2, 'group_order': 94950, 'label': '15D2', 'order': 15, 'powers': [95, 25, 8, 92, 93], 'representative': 8674, 'size': 211}
  • id: 97995390
    {'aut_label': '15B-2', 'centralizer': '211.a1', 'counter': 94, 'group_counter': 2, 'group_order': 94950, 'label': '15D-2', 'order': 15, 'powers': [96, 26, 7, 91, 94], 'representative': 39506, 'size': 211}
  • id: 97995391
    {'aut_label': '15B4', 'centralizer': '211.a1', 'counter': 95, 'group_counter': 2, 'group_order': 94950, 'label': '15D4', 'order': 15, 'powers': [98, 24, 7, 94, 95], 'representative': 10598, 'size': 211}
  • id: 97995392
    {'aut_label': '15B-4', 'centralizer': '211.a1', 'counter': 96, 'group_counter': 2, 'group_order': 94950, 'label': '15D-4', 'order': 15, 'powers': [97, 23, 8, 93, 96], 'representative': 45682, 'size': 211}
  • id: 97995393
    {'aut_label': '15B7', 'centralizer': '211.a1', 'counter': 97, 'group_counter': 2, 'group_order': 94950, 'label': '15D7', 'order': 15, 'powers': [92, 25, 7, 95, 97], 'representative': 20684, 'size': 211}
  • id: 97995394
    {'aut_label': '15B-7', 'centralizer': '211.a1', 'counter': 98, 'group_counter': 2, 'group_order': 94950, 'label': '15D-7', 'order': 15, 'powers': [91, 26, 8, 96, 98], 'representative': 44146, 'size': 211}
  • id: 97995395
    {'aut_label': '15B1', 'centralizer': '211.a1', 'counter': 99, 'group_counter': 2, 'group_order': 94950, 'label': '15E1', 'order': 15, 'powers': [101, 23, 5, 105, 99], 'representative': 42212, 'size': 211}
  • id: 97994843
    {'aut_label': '15B-1', 'centralizer': '211.a1', 'counter': 100, 'group_counter': 2, 'group_order': 94950, 'label': '15E-1', 'order': 15, 'powers': [102, 24, 6, 106, 100], 'representative': 78868, 'size': 211}
  • id: 97994844
    {'aut_label': '15B2', 'centralizer': '211.a1', 'counter': 101, 'group_counter': 2, 'group_order': 94950, 'label': '15E2', 'order': 15, 'powers': [103, 25, 6, 100, 101], 'representative': 52024, 'size': 211}
  • id: 97994845
    {'aut_label': '15B-2', 'centralizer': '211.a1', 'counter': 102, 'group_counter': 2, 'group_order': 94950, 'label': '15E-2', 'order': 15, 'powers': [104, 26, 5, 99, 102], 'representative': 47006, 'size': 211}
  • id: 97994846
    {'aut_label': '15B4', 'centralizer': '211.a1', 'counter': 103, 'group_counter': 2, 'group_order': 94950, 'label': '15E4', 'order': 15, 'powers': [106, 24, 5, 102, 103], 'representative': 63548, 'size': 211}
  • id: 97994847
    {'aut_label': '15B-4', 'centralizer': '211.a1', 'counter': 104, 'group_counter': 2, 'group_order': 94950, 'label': '15E-4', 'order': 15, 'powers': [105, 23, 6, 101, 104], 'representative': 84082, 'size': 211}
  • id: 97994848
    {'aut_label': '15B7', 'centralizer': '211.a1', 'counter': 105, 'group_counter': 2, 'group_order': 94950, 'label': '15E7', 'order': 15, 'powers': [100, 25, 5, 103, 105], 'representative': 29084, 'size': 211}
  • id: 97994849
    {'aut_label': '15B-7', 'centralizer': '211.a1', 'counter': 106, 'group_counter': 2, 'group_order': 94950, 'label': '15E-7', 'order': 15, 'powers': [99, 26, 6, 104, 106], 'representative': 74896, 'size': 211}
  • id: 97994850
    {'aut_label': '15B1', 'centralizer': '211.a1', 'counter': 107, 'group_counter': 2, 'group_order': 94950, 'label': '15F1', 'order': 15, 'powers': [109, 27, 9, 113, 107], 'representative': 14072, 'size': 211}
  • id: 97994851
    {'aut_label': '15B-1', 'centralizer': '211.a1', 'counter': 108, 'group_counter': 2, 'group_order': 94950, 'label': '15F-1', 'order': 15, 'powers': [110, 28, 10, 114, 108], 'representative': 57958, 'size': 211}
  • id: 97994852
    {'aut_label': '15B2', 'centralizer': '211.a1', 'counter': 109, 'group_counter': 2, 'group_order': 94950, 'label': '15F2', 'order': 15, 'powers': [111, 29, 10, 108, 109], 'representative': 17344, 'size': 211}
  • id: 97994854
    {'aut_label': '15B-2', 'centralizer': '211.a1', 'counter': 110, 'group_counter': 2, 'group_order': 94950, 'label': '15F-2', 'order': 15, 'powers': [112, 30, 9, 107, 110], 'representative': 78986, 'size': 211}
  • id: 97994855
    {'aut_label': '15B4', 'centralizer': '211.a1', 'counter': 111, 'group_counter': 2, 'group_order': 94950, 'label': '15F4', 'order': 15, 'powers': [114, 28, 9, 110, 111], 'representative': 21188, 'size': 211}
  • id: 97994856
    {'aut_label': '15B-4', 'centralizer': '211.a1', 'counter': 112, 'group_counter': 2, 'group_order': 94950, 'label': '15F-4', 'order': 15, 'powers': [113, 27, 10, 109, 112], 'representative': 91342, 'size': 211}
  • id: 97994857
    {'aut_label': '15B7', 'centralizer': '211.a1', 'counter': 113, 'group_counter': 2, 'group_order': 94950, 'label': '15F7', 'order': 15, 'powers': [108, 29, 9, 111, 113], 'representative': 41354, 'size': 211}
  • id: 97994858
    {'aut_label': '15B-7', 'centralizer': '211.a1', 'counter': 114, 'group_counter': 2, 'group_order': 94950, 'label': '15F-7', 'order': 15, 'powers': [107, 30, 10, 112, 114], 'representative': 88276, 'size': 211}
  • id: 97994859
    {'aut_label': '15B1', 'centralizer': '211.a1', 'counter': 115, 'group_counter': 2, 'group_order': 94950, 'label': '15G1', 'order': 15, 'powers': [117, 31, 5, 121, 115], 'representative': 15842, 'size': 211}
  • id: 97994860
    {'aut_label': '15B-1', 'centralizer': '211.a1', 'counter': 116, 'group_counter': 2, 'group_order': 94950, 'label': '15G-1', 'order': 15, 'powers': [118, 32, 6, 122, 116], 'representative': 23338, 'size': 211}
  • id: 97994861
    {'aut_label': '15B2', 'centralizer': '211.a1', 'counter': 117, 'group_counter': 2, 'group_order': 94950, 'label': '15G2', 'order': 15, 'powers': [119, 33, 6, 116, 117], 'representative': 78034, 'size': 211}
  • id: 97994862
    {'aut_label': '15B-2', 'centralizer': '211.a1', 'counter': 118, 'group_counter': 2, 'group_order': 94950, 'label': '15G-2', 'order': 15, 'powers': [120, 34, 5, 115, 118], 'representative': 70496, 'size': 211}
  • id: 97994863
    {'aut_label': '15B4', 'centralizer': '211.a1', 'counter': 119, 'group_counter': 2, 'group_order': 94950, 'label': '15G4', 'order': 15, 'powers': [122, 32, 5, 118, 119], 'representative': 368, 'size': 211}
  • id: 97994865
    {'aut_label': '15B-4', 'centralizer': '211.a1', 'counter': 120, 'group_counter': 2, 'group_order': 94950, 'label': '15G-4', 'order': 15, 'powers': [121, 31, 6, 117, 120], 'representative': 31162, 'size': 211}
  • id: 97994866
    {'aut_label': '15B7', 'centralizer': '211.a1', 'counter': 121, 'group_counter': 2, 'group_order': 94950, 'label': '15G7', 'order': 15, 'powers': [116, 33, 5, 119, 121], 'representative': 91094, 'size': 211}
  • id: 97994867
    {'aut_label': '15B-7', 'centralizer': '211.a1', 'counter': 122, 'group_counter': 2, 'group_order': 94950, 'label': '15G-7', 'order': 15, 'powers': [115, 34, 6, 120, 122], 'representative': 17386, 'size': 211}
  • id: 97994868
    {'aut_label': '15B1', 'centralizer': '211.a1', 'counter': 123, 'group_counter': 2, 'group_order': 94950, 'label': '15H1', 'order': 15, 'powers': [125, 27, 5, 129, 123], 'representative': 84422, 'size': 211}
  • id: 97994869
    {'aut_label': '15B-1', 'centralizer': '211.a1', 'counter': 124, 'group_counter': 2, 'group_order': 94950, 'label': '15H-1', 'order': 15, 'powers': [126, 28, 6, 130, 124], 'representative': 62758, 'size': 211}
  • id: 97994870
    {'aut_label': '15B2', 'centralizer': '211.a1', 'counter': 125, 'group_counter': 2, 'group_order': 94950, 'label': '15H2', 'order': 15, 'powers': [127, 29, 6, 124, 125], 'representative': 9094, 'size': 211}
  • id: 97994871
    {'aut_label': '15B-2', 'centralizer': '211.a1', 'counter': 126, 'group_counter': 2, 'group_order': 94950, 'label': '15H-2', 'order': 15, 'powers': [128, 30, 5, 123, 126], 'representative': 93986, 'size': 211}
  • id: 97994872
    {'aut_label': '15B4', 'centralizer': '211.a1', 'counter': 127, 'group_counter': 2, 'group_order': 94950, 'label': '15H4', 'order': 15, 'powers': [130, 28, 5, 126, 127], 'representative': 32138, 'size': 211}
  • id: 97994873
    {'aut_label': '15B-4', 'centralizer': '211.a1', 'counter': 128, 'group_counter': 2, 'group_order': 94950, 'label': '15H-4', 'order': 15, 'powers': [129, 27, 6, 125, 128], 'representative': 73192, 'size': 211}
  • id: 97994874
    {'aut_label': '15B7', 'centralizer': '211.a1', 'counter': 129, 'group_counter': 2, 'group_order': 94950, 'label': '15H7', 'order': 15, 'powers': [124, 29, 5, 127, 129], 'representative': 58154, 'size': 211}
  • id: 97994876
    {'aut_label': '15B-7', 'centralizer': '211.a1', 'counter': 130, 'group_counter': 2, 'group_order': 94950, 'label': '15H-7', 'order': 15, 'powers': [123, 30, 6, 128, 130], 'representative': 54826, 'size': 211}
  • id: 97994877
    {'aut_label': '15B1', 'centralizer': '211.a1', 'counter': 131, 'group_counter': 2, 'group_order': 94950, 'label': '15I1', 'order': 15, 'powers': [133, 31, 7, 137, 131], 'representative': 28142, 'size': 211}
  • id: 97994878
    {'aut_label': '15B-1', 'centralizer': '211.a1', 'counter': 132, 'group_counter': 2, 'group_order': 94950, 'label': '15I-1', 'order': 15, 'powers': [134, 32, 8, 138, 132], 'representative': 20938, 'size': 211}
  • id: 97994879
    {'aut_label': '15B2', 'centralizer': '211.a1', 'counter': 133, 'group_counter': 2, 'group_order': 94950, 'label': '15I2', 'order': 15, 'powers': [135, 33, 8, 132, 133], 'representative': 34684, 'size': 211}
  • id: 97994880
    {'aut_label': '15B-2', 'centralizer': '211.a1', 'counter': 134, 'group_counter': 2, 'group_order': 94950, 'label': '15I-2', 'order': 15, 'powers': [136, 34, 7, 131, 134], 'representative': 62996, 'size': 211}
  • id: 97994881
    {'aut_label': '15B4', 'centralizer': '211.a1', 'counter': 135, 'group_counter': 2, 'group_order': 94950, 'label': '15I4', 'order': 15, 'powers': [138, 32, 7, 134, 135], 'representative': 42368, 'size': 211}
  • id: 97994882
    {'aut_label': '15B-4', 'centralizer': '211.a1', 'counter': 136, 'group_counter': 2, 'group_order': 94950, 'label': '15I-4', 'order': 15, 'powers': [137, 31, 8, 133, 136], 'representative': 87712, 'size': 211}
  • id: 97994883
    {'aut_label': '15B7', 'centralizer': '211.a1', 'counter': 137, 'group_counter': 2, 'group_order': 94950, 'label': '15I7', 'order': 15, 'powers': [132, 33, 7, 135, 137], 'representative': 82694, 'size': 211}
  • id: 97994884
    {'aut_label': '15B-7', 'centralizer': '211.a1', 'counter': 138, 'group_counter': 2, 'group_order': 94950, 'label': '15I-7', 'order': 15, 'powers': [131, 34, 8, 136, 138], 'representative': 81586, 'size': 211}
  • id: 97994885
    {'aut_label': '15B7', 'centralizer': '211.a1', 'counter': 139, 'group_counter': 2, 'group_order': 94950, 'label': '15J1', 'order': 15, 'powers': [141, 21, 7, 145, 139], 'representative': 31124, 'size': 211}
  • id: 97994887
    {'aut_label': '15B-7', 'centralizer': '211.a1', 'counter': 140, 'group_counter': 2, 'group_order': 94950, 'label': '15J-1', 'order': 15, 'powers': [142, 22, 8, 146, 140], 'representative': 70156, 'size': 211}
  • id: 97994888
    {'aut_label': '15B-1', 'centralizer': '211.a1', 'counter': 141, 'group_counter': 2, 'group_order': 94950, 'label': '15J2', 'order': 15, 'powers': [143, 20, 8, 140, 141], 'representative': 57748, 'size': 211}
  • id: 97994889
    {'aut_label': '15B1', 'centralizer': '211.a1', 'counter': 142, 'group_counter': 2, 'group_order': 94950, 'label': '15J-2', 'order': 15, 'powers': [144, 19, 7, 139, 142], 'representative': 93482, 'size': 211}
  • id: 97994890
    {'aut_label': '15B-2', 'centralizer': '211.a1', 'counter': 143, 'group_counter': 2, 'group_order': 94950, 'label': '15J4', 'order': 15, 'powers': [146, 22, 7, 142, 143], 'representative': 56966, 'size': 211}
  • id: 97994891
    {'aut_label': '15B2', 'centralizer': '211.a1', 'counter': 144, 'group_counter': 2, 'group_order': 94950, 'label': '15J-4', 'order': 15, 'powers': [145, 21, 8, 141, 144], 'representative': 12364, 'size': 211}
  • id: 97994892
    {'aut_label': '15B4', 'centralizer': '211.a1', 'counter': 145, 'group_counter': 2, 'group_order': 94950, 'label': '15J7', 'order': 15, 'powers': [140, 20, 7, 143, 145], 'representative': 91328, 'size': 211}
  • id: 97994893
    {'aut_label': '15B-4', 'centralizer': '211.a1', 'counter': 146, 'group_counter': 2, 'group_order': 94950, 'label': '15J-7', 'order': 15, 'powers': [139, 19, 8, 144, 146], 'representative': 50002, 'size': 211}
  • id: 97994894
    {'aut_label': '15K1', 'centralizer': '211.a1', 'counter': 147, 'group_counter': 2, 'group_order': 94950, 'label': '15K1', 'order': 15, 'powers': [149, 30, 3, 153, 147], 'representative': 51366, 'size': 211}
  • id: 97994895
    {'aut_label': '15K-1', 'centralizer': '211.a1', 'counter': 148, 'group_counter': 2, 'group_order': 94950, 'label': '15K-1', 'order': 15, 'powers': [150, 29, 4, 154, 148], 'representative': 88164, 'size': 211}
  • id: 97994896
    {'aut_label': '15K2', 'centralizer': '211.a1', 'counter': 149, 'group_counter': 2, 'group_order': 94950, 'label': '15K2', 'order': 15, 'powers': [151, 27, 4, 148, 149], 'representative': 27132, 'size': 211}
  • id: 97994898
    {'aut_label': '15K-2', 'centralizer': '211.a1', 'counter': 150, 'group_counter': 2, 'group_order': 94950, 'label': '15K-2', 'order': 15, 'powers': [152, 28, 3, 147, 150], 'representative': 16098, 'size': 211}
  • id: 97994899
    {'aut_label': '15K-1', 'centralizer': '211.a1', 'counter': 151, 'group_counter': 2, 'group_order': 94950, 'label': '15K4', 'order': 15, 'powers': [154, 29, 3, 150, 151], 'representative': 56514, 'size': 211}
  • id: 97994900
    {'aut_label': '15K1', 'centralizer': '211.a1', 'counter': 152, 'group_counter': 2, 'group_order': 94950, 'label': '15K-4', 'order': 15, 'powers': [153, 30, 4, 149, 152], 'representative': 83016, 'size': 211}
  • id: 97994901
    {'aut_label': '15K2', 'centralizer': '211.a1', 'counter': 153, 'group_counter': 2, 'group_order': 94950, 'label': '15K7', 'order': 15, 'powers': [148, 27, 3, 151, 153], 'representative': 90432, 'size': 211}
  • id: 97994902
    {'aut_label': '15K-2', 'centralizer': '211.a1', 'counter': 154, 'group_counter': 2, 'group_order': 94950, 'label': '15K-7', 'order': 15, 'powers': [147, 28, 4, 152, 154], 'representative': 47748, 'size': 211}
  • id: 97994903
    {'aut_label': '15B1', 'centralizer': '211.a1', 'counter': 155, 'group_counter': 2, 'group_order': 94950, 'label': '15L1', 'order': 15, 'powers': [157, 27, 7, 161, 155], 'representative': 1772, 'size': 211}
  • id: 97994904
    {'aut_label': '15B-1', 'centralizer': '211.a1', 'counter': 156, 'group_counter': 2, 'group_order': 94950, 'label': '15L-1', 'order': 15, 'powers': [158, 28, 8, 162, 156], 'representative': 60358, 'size': 211}
  • id: 97994905
    {'aut_label': '15B2', 'centralizer': '211.a1', 'counter': 157, 'group_counter': 2, 'group_order': 94950, 'label': '15L2', 'order': 15, 'powers': [159, 29, 8, 156, 157], 'representative': 60694, 'size': 211}
  • id: 97994906
    {'aut_label': '15B-2', 'centralizer': '211.a1', 'counter': 158, 'group_counter': 2, 'group_order': 94950, 'label': '15L-2', 'order': 15, 'powers': [160, 30, 7, 155, 158], 'representative': 86486, 'size': 211}
  • id: 97994907
    {'aut_label': '15B4', 'centralizer': '211.a1', 'counter': 159, 'group_counter': 2, 'group_order': 94950, 'label': '15L4', 'order': 15, 'powers': [162, 28, 7, 158, 159], 'representative': 74138, 'size': 211}
  • id: 97994909
    {'aut_label': '15B-4', 'centralizer': '211.a1', 'counter': 160, 'group_counter': 2, 'group_order': 94950, 'label': '15L-4', 'order': 15, 'powers': [161, 27, 8, 157, 160], 'representative': 34792, 'size': 211}
  • id: 97994910
    {'aut_label': '15B7', 'centralizer': '211.a1', 'counter': 161, 'group_counter': 2, 'group_order': 94950, 'label': '15L7', 'order': 15, 'powers': [156, 29, 7, 159, 161], 'representative': 49754, 'size': 211}
  • id: 97994911
    {'aut_label': '15B-7', 'centralizer': '211.a1', 'counter': 162, 'group_counter': 2, 'group_order': 94950, 'label': '15L-7', 'order': 15, 'powers': [155, 30, 8, 160, 162], 'representative': 24076, 'size': 211}
  • id: 97994912
    {'aut_label': '15B1', 'centralizer': '211.a1', 'counter': 163, 'group_counter': 2, 'group_order': 94950, 'label': '15M1', 'order': 15, 'powers': [165, 15, 9, 169, 163], 'representative': 82652, 'size': 211}
  • id: 97994913
    {'aut_label': '15B-1', 'centralizer': '211.a1', 'counter': 164, 'group_counter': 2, 'group_order': 94950, 'label': '15M-1', 'order': 15, 'powers': [166, 16, 10, 170, 164], 'representative': 2428, 'size': 211}
  • id: 97994914
    {'aut_label': '15B2', 'centralizer': '211.a1', 'counter': 165, 'group_counter': 2, 'group_order': 94950, 'label': '15M2', 'order': 15, 'powers': [167, 17, 10, 164, 165], 'representative': 43354, 'size': 211}
  • id: 97994915
    {'aut_label': '15B-2', 'centralizer': '211.a1', 'counter': 166, 'group_counter': 2, 'group_order': 94950, 'label': '15M-2', 'order': 15, 'powers': [168, 18, 9, 163, 166], 'representative': 7526, 'size': 211}
  • id: 97994916
    {'aut_label': '15B4', 'centralizer': '211.a1', 'counter': 167, 'group_counter': 2, 'group_order': 94950, 'label': '15M4', 'order': 15, 'powers': [170, 16, 9, 166, 167], 'representative': 52958, 'size': 211}
  • id: 97994917
    {'aut_label': '15B-4', 'centralizer': '211.a1', 'counter': 168, 'group_counter': 2, 'group_order': 94950, 'label': '15M-4', 'order': 15, 'powers': [169, 15, 10, 165, 168], 'representative': 38422, 'size': 211}
  • id: 97994918
    {'aut_label': '15B7', 'centralizer': '211.a1', 'counter': 169, 'group_counter': 2, 'group_order': 94950, 'label': '15M7', 'order': 15, 'powers': [164, 17, 9, 167, 169], 'representative': 8414, 'size': 211}
  • id: 97994920
    {'aut_label': '15B-7', 'centralizer': '211.a1', 'counter': 170, 'group_counter': 2, 'group_order': 94950, 'label': '15M-7', 'order': 15, 'powers': [163, 18, 10, 168, 170], 'representative': 30766, 'size': 211}
  • id: 97994921
    {'aut_label': '15B7', 'centralizer': '211.a1', 'counter': 171, 'group_counter': 2, 'group_order': 94950, 'label': '15N1', 'order': 15, 'powers': [173, 25, 9, 177, 171], 'representative': 62234, 'size': 211}
  • id: 97994922
    {'aut_label': '15B-7', 'centralizer': '211.a1', 'counter': 172, 'group_counter': 2, 'group_order': 94950, 'label': '15N-1', 'order': 15, 'powers': [174, 26, 10, 178, 172], 'representative': 45346, 'size': 211}
  • id: 97994923
    {'aut_label': '15B-1', 'centralizer': '211.a1', 'counter': 173, 'group_counter': 2, 'group_order': 94950, 'label': '15N2', 'order': 15, 'powers': [175, 24, 10, 172, 173], 'representative': 20518, 'size': 211}
  • id: 97994924
    {'aut_label': '15B1', 'centralizer': '211.a1', 'counter': 174, 'group_counter': 2, 'group_order': 94950, 'label': '15N-2', 'order': 15, 'powers': [176, 23, 9, 171, 174], 'representative': 92012, 'size': 211}
  • id: 97994925
    {'aut_label': '15B-2', 'centralizer': '211.a1', 'counter': 175, 'group_counter': 2, 'group_order': 94950, 'label': '15N4', 'order': 15, 'powers': [178, 26, 9, 174, 175], 'representative': 18956, 'size': 211}
  • id: 97994926
    {'aut_label': '15B2', 'centralizer': '211.a1', 'counter': 176, 'group_counter': 2, 'group_order': 94950, 'label': '15N-4', 'order': 15, 'powers': [177, 25, 10, 173, 176], 'representative': 24724, 'size': 211}
  • id: 97994927
    {'aut_label': '15B4', 'centralizer': '211.a1', 'counter': 177, 'group_counter': 2, 'group_order': 94950, 'label': '15N7', 'order': 15, 'powers': [172, 24, 9, 175, 177], 'representative': 87698, 'size': 211}
  • id: 97994928
    {'aut_label': '15B-4', 'centralizer': '211.a1', 'counter': 178, 'group_counter': 2, 'group_order': 94950, 'label': '15N-7', 'order': 15, 'powers': [171, 23, 10, 176, 178], 'representative': 5032, 'size': 211}
  • id: 97994929
    {'aut_label': '15K1', 'centralizer': '211.a1', 'counter': 179, 'group_counter': 2, 'group_order': 94950, 'label': '15O1', 'order': 15, 'powers': [181, 34, 4, 185, 179], 'representative': 7776, 'size': 211}
  • id: 97994931
    {'aut_label': '15K-1', 'centralizer': '211.a1', 'counter': 180, 'group_counter': 2, 'group_order': 94950, 'label': '15O-1', 'order': 15, 'powers': [182, 33, 3, 186, 180], 'representative': 81354, 'size': 211}
  • id: 97994932
    {'aut_label': '15K2', 'centralizer': '211.a1', 'counter': 181, 'group_counter': 2, 'group_order': 94950, 'label': '15O2', 'order': 15, 'powers': [183, 31, 3, 180, 181], 'representative': 54252, 'size': 211}
  • id: 97994933
    {'aut_label': '15K-2', 'centralizer': '211.a1', 'counter': 182, 'group_counter': 2, 'group_order': 94950, 'label': '15O-2', 'order': 15, 'powers': [184, 32, 4, 179, 182], 'representative': 32178, 'size': 211}
  • id: 97994934
    {'aut_label': '15K-1', 'centralizer': '211.a1', 'counter': 183, 'group_counter': 2, 'group_order': 94950, 'label': '15O4', 'order': 15, 'powers': [186, 33, 4, 182, 183], 'representative': 18054, 'size': 211}
  • id: 97994935
    {'aut_label': '15K1', 'centralizer': '211.a1', 'counter': 184, 'group_counter': 2, 'group_order': 94950, 'label': '15O-4', 'order': 15, 'powers': [185, 34, 3, 181, 184], 'representative': 71076, 'size': 211}
  • id: 97994936
    {'aut_label': '15K2', 'centralizer': '211.a1', 'counter': 185, 'group_counter': 2, 'group_order': 94950, 'label': '15O7', 'order': 15, 'powers': [180, 31, 4, 183, 185], 'representative': 85902, 'size': 211}
  • id: 97994937
    {'aut_label': '15K-2', 'centralizer': '211.a1', 'counter': 186, 'group_counter': 2, 'group_order': 94950, 'label': '15O-7', 'order': 15, 'powers': [179, 32, 3, 184, 186], 'representative': 528, 'size': 211}
  • id: 97994938
    {'aut_label': '15P1', 'centralizer': '211.a1', 'counter': 187, 'group_counter': 2, 'group_order': 94950, 'label': '15P1', 'order': 15, 'powers': [189, 11, 6, 193, 187], 'representative': 93790, 'size': 211}
  • id: 97994939
    {'aut_label': '15P-1', 'centralizer': '211.a1', 'counter': 188, 'group_counter': 2, 'group_order': 94950, 'label': '15P-1', 'order': 15, 'powers': [190, 12, 5, 194, 188], 'representative': 35390, 'size': 211}
  • id: 97994940
    {'aut_label': '15P-1', 'centralizer': '211.a1', 'counter': 189, 'group_counter': 2, 'group_order': 94950, 'label': '15P2', 'order': 15, 'powers': [191, 13, 5, 188, 189], 'representative': 54380, 'size': 211}
  • id: 97994942
    {'aut_label': '15P1', 'centralizer': '211.a1', 'counter': 190, 'group_counter': 2, 'group_order': 94950, 'label': '15P-2', 'order': 15, 'powers': [192, 14, 6, 187, 190], 'representative': 74800, 'size': 211}
  • id: 97994943
    {'aut_label': '15P1', 'centralizer': '211.a1', 'counter': 191, 'group_counter': 2, 'group_order': 94950, 'label': '15P4', 'order': 15, 'powers': [194, 12, 6, 190, 191], 'representative': 17830, 'size': 211}
  • id: 97994944
    {'aut_label': '15P-1', 'centralizer': '211.a1', 'counter': 192, 'group_counter': 2, 'group_order': 94950, 'label': '15P-4', 'order': 15, 'powers': [193, 11, 5, 189, 192], 'representative': 16400, 'size': 211}
  • id: 97994945
    {'aut_label': '15P1', 'centralizer': '211.a1', 'counter': 193, 'group_counter': 2, 'group_order': 94950, 'label': '15P7', 'order': 15, 'powers': [188, 13, 6, 191, 193], 'representative': 36820, 'size': 211}
  • id: 97994946
    {'aut_label': '15P-1', 'centralizer': '211.a1', 'counter': 194, 'group_counter': 2, 'group_order': 94950, 'label': '15P-7', 'order': 15, 'powers': [187, 14, 5, 192, 194], 'representative': 92360, 'size': 211}
  • id: 97994947
    {'aut_label': '15P1', 'centralizer': '211.a1', 'counter': 195, 'group_counter': 2, 'group_order': 94950, 'label': '15Q1', 'order': 15, 'powers': [197, 13, 10, 201, 195], 'representative': 94570, 'size': 211}
  • id: 97994948
    {'aut_label': '15P-1', 'centralizer': '211.a1', 'counter': 196, 'group_counter': 2, 'group_order': 94950, 'label': '15Q-1', 'order': 15, 'powers': [198, 14, 9, 202, 196], 'representative': 75110, 'size': 211}
  • id: 97994949
    {'aut_label': '15P-1', 'centralizer': '211.a1', 'counter': 197, 'group_counter': 2, 'group_order': 94950, 'label': '15Q2', 'order': 15, 'powers': [199, 12, 9, 196, 197], 'representative': 18140, 'size': 211}
  • id: 97994950
    {'aut_label': '15P1', 'centralizer': '211.a1', 'counter': 198, 'group_counter': 2, 'group_order': 94950, 'label': '15Q-2', 'order': 15, 'powers': [200, 11, 10, 195, 198], 'representative': 56590, 'size': 211}
  • id: 97994951
    {'aut_label': '15P1', 'centralizer': '211.a1', 'counter': 199, 'group_counter': 2, 'group_order': 94950, 'label': '15Q4', 'order': 15, 'powers': [202, 14, 10, 198, 199], 'representative': 37600, 'size': 211}
  • id: 97994954
    {'aut_label': '15P-1', 'centralizer': '211.a1', 'counter': 200, 'group_counter': 2, 'group_order': 94950, 'label': '15Q-4', 'order': 15, 'powers': [201, 13, 9, 197, 200], 'representative': 37130, 'size': 211}
  • id: 97994955
    {'aut_label': '15P1', 'centralizer': '211.a1', 'counter': 201, 'group_counter': 2, 'group_order': 94950, 'label': '15Q7', 'order': 15, 'powers': [196, 12, 10, 199, 201], 'representative': 75580, 'size': 211}
  • id: 97994956
    {'aut_label': '15P-1', 'centralizer': '211.a1', 'counter': 202, 'group_counter': 2, 'group_order': 94950, 'label': '15Q-7', 'order': 15, 'powers': [195, 11, 9, 200, 202], 'representative': 94100, 'size': 211}
  • id: 97994957
    {'aut_label': '15B1', 'centralizer': '211.a1', 'counter': 203, 'group_counter': 2, 'group_order': 94950, 'label': '15R1', 'order': 15, 'powers': [205, 15, 7, 209, 203], 'representative': 70352, 'size': 211}
  • id: 97994958
    {'aut_label': '15B-1', 'centralizer': '211.a1', 'counter': 204, 'group_counter': 2, 'group_order': 94950, 'label': '15R-1', 'order': 15, 'powers': [206, 16, 8, 210, 204], 'representative': 4828, 'size': 211}
  • id: 97994959
    {'aut_label': '15B2', 'centralizer': '211.a1', 'counter': 205, 'group_counter': 2, 'group_order': 94950, 'label': '15R2', 'order': 15, 'powers': [207, 17, 8, 204, 205], 'representative': 86704, 'size': 211}
  • id: 97994960
    {'aut_label': '15B-2', 'centralizer': '211.a1', 'counter': 206, 'group_counter': 2, 'group_order': 94950, 'label': '15R-2', 'order': 15, 'powers': [208, 18, 7, 203, 206], 'representative': 15026, 'size': 211}
  • id: 97994961
    {'aut_label': '15B4', 'centralizer': '211.a1', 'counter': 207, 'group_counter': 2, 'group_order': 94950, 'label': '15R4', 'order': 15, 'powers': [210, 16, 7, 206, 207], 'representative': 10958, 'size': 211}
  • id: 97994962
    {'aut_label': '15B-4', 'centralizer': '211.a1', 'counter': 208, 'group_counter': 2, 'group_order': 94950, 'label': '15R-4', 'order': 15, 'powers': [209, 15, 8, 205, 208], 'representative': 76822, 'size': 211}
  • id: 97994963
    {'aut_label': '15B7', 'centralizer': '211.a1', 'counter': 209, 'group_counter': 2, 'group_order': 94950, 'label': '15R7', 'order': 15, 'powers': [204, 17, 7, 207, 209], 'representative': 16814, 'size': 211}
  • id: 97994965
    {'aut_label': '15B-7', 'centralizer': '211.a1', 'counter': 210, 'group_counter': 2, 'group_order': 94950, 'label': '15R-7', 'order': 15, 'powers': [203, 18, 8, 208, 210], 'representative': 61516, 'size': 211}
  • id: 97994966
    {'aut_label': '15B1', 'centralizer': '211.a1', 'counter': 211, 'group_counter': 2, 'group_order': 94950, 'label': '15S1', 'order': 15, 'powers': [213, 19, 9, 217, 211], 'representative': 56282, 'size': 211}
  • id: 97994967
    {'aut_label': '15B-1', 'centralizer': '211.a1', 'counter': 212, 'group_counter': 2, 'group_order': 94950, 'label': '15S-1', 'order': 15, 'powers': [214, 20, 10, 218, 212], 'representative': 41848, 'size': 211}
  • id: 97994968
    {'aut_label': '15B2', 'centralizer': '211.a1', 'counter': 213, 'group_counter': 2, 'group_order': 94950, 'label': '15S2', 'order': 15, 'powers': [215, 21, 10, 212, 213], 'representative': 69364, 'size': 211}
  • id: 97994969
    {'aut_label': '15B-2', 'centralizer': '211.a1', 'counter': 214, 'group_counter': 2, 'group_order': 94950, 'label': '15S-2', 'order': 15, 'powers': [216, 22, 9, 211, 214], 'representative': 31016, 'size': 211}
  • id: 97994970
    {'aut_label': '15B4', 'centralizer': '211.a1', 'counter': 215, 'group_counter': 2, 'group_order': 94950, 'label': '15S4', 'order': 15, 'powers': [218, 20, 9, 214, 215], 'representative': 84728, 'size': 211}
  • id: 97994971
    {'aut_label': '15B-4', 'centralizer': '211.a1', 'counter': 216, 'group_counter': 2, 'group_order': 94950, 'label': '15S-4', 'order': 15, 'powers': [217, 19, 10, 213, 216], 'representative': 80452, 'size': 211}
  • id: 97994972
    {'aut_label': '15B7', 'centralizer': '211.a1', 'counter': 217, 'group_counter': 2, 'group_order': 94950, 'label': '15S7', 'order': 15, 'powers': [212, 21, 9, 215, 217], 'representative': 70424, 'size': 211}
  • id: 97994973
    {'aut_label': '15B-7', 'centralizer': '211.a1', 'counter': 218, 'group_counter': 2, 'group_order': 94950, 'label': '15S-7', 'order': 15, 'powers': [211, 22, 10, 216, 218], 'representative': 68206, 'size': 211}
  • id: 97994974
    {'aut_label': '15B-2', 'centralizer': '211.a1', 'counter': 219, 'group_counter': 2, 'group_order': 94950, 'label': '15T1', 'order': 15, 'powers': [221, 34, 9, 225, 219], 'representative': 86996, 'size': 211}
  • id: 97994976
    {'aut_label': '15B2', 'centralizer': '211.a1', 'counter': 220, 'group_counter': 2, 'group_order': 94950, 'label': '15T-1', 'order': 15, 'powers': [222, 33, 10, 226, 220], 'representative': 21484, 'size': 211}
  • id: 97994977
    {'aut_label': '15B-4', 'centralizer': '211.a1', 'counter': 221, 'group_counter': 2, 'group_order': 94950, 'label': '15T2', 'order': 15, 'powers': [223, 31, 10, 220, 221], 'representative': 77662, 'size': 211}
  • id: 97994978
    {'aut_label': '15B4', 'centralizer': '211.a1', 'counter': 222, 'group_counter': 2, 'group_order': 94950, 'label': '15T-2', 'order': 15, 'powers': [224, 32, 9, 219, 222], 'representative': 2918, 'size': 211}
  • id: 97994979
    {'aut_label': '15B7', 'centralizer': '211.a1', 'counter': 223, 'group_counter': 2, 'group_order': 94950, 'label': '15T4', 'order': 15, 'powers': [226, 33, 9, 222, 223], 'representative': 71594, 'size': 211}
  • id: 97994980
    {'aut_label': '15B-7', 'centralizer': '211.a1', 'counter': 224, 'group_counter': 2, 'group_order': 94950, 'label': '15T-4', 'order': 15, 'powers': [225, 34, 10, 221, 224], 'representative': 85036, 'size': 211}
  • id: 97994981
    {'aut_label': '15B1', 'centralizer': '211.a1', 'counter': 225, 'group_counter': 2, 'group_order': 94950, 'label': '15T7', 'order': 15, 'powers': [220, 31, 9, 223, 225], 'representative': 64742, 'size': 211}
  • id: 97994982
    {'aut_label': '15B-1', 'centralizer': '211.a1', 'counter': 226, 'group_counter': 2, 'group_order': 94950, 'label': '15T-7', 'order': 15, 'powers': [219, 32, 10, 224, 226], 'representative': 85588, 'size': 211}
  • id: 97994983
    {'aut_label': '15P1', 'centralizer': '211.a1', 'counter': 227, 'group_counter': 2, 'group_order': 94950, 'label': '15U1', 'order': 15, 'powers': [229, 12, 8, 233, 227], 'representative': 94180, 'size': 211}
  • id: 97994984
    {'aut_label': '15P-1', 'centralizer': '211.a1', 'counter': 228, 'group_counter': 2, 'group_order': 94950, 'label': '15U-1', 'order': 15, 'powers': [230, 11, 7, 234, 228], 'representative': 55250, 'size': 211}
  • id: 97994985
    {'aut_label': '15P-1', 'centralizer': '211.a1', 'counter': 229, 'group_counter': 2, 'group_order': 94950, 'label': '15U2', 'order': 15, 'powers': [231, 14, 7, 228, 229], 'representative': 36260, 'size': 211}
  • id: 97994987
    {'aut_label': '15P1', 'centralizer': '211.a1', 'counter': 230, 'group_counter': 2, 'group_order': 94950, 'label': '15U-2', 'order': 15, 'powers': [232, 13, 8, 227, 230], 'representative': 18220, 'size': 211}
  • id: 97994988
    {'aut_label': '15P1', 'centralizer': '211.a1', 'counter': 231, 'group_counter': 2, 'group_order': 94950, 'label': '15U4', 'order': 15, 'powers': [234, 11, 8, 230, 231], 'representative': 75190, 'size': 211}
  • id: 97994989
    {'aut_label': '15P-1', 'centralizer': '211.a1', 'counter': 232, 'group_counter': 2, 'group_order': 94950, 'label': '15U-4', 'order': 15, 'powers': [233, 12, 7, 229, 232], 'representative': 74240, 'size': 211}
  • id: 97994990
    {'aut_label': '15P1', 'centralizer': '211.a1', 'counter': 233, 'group_counter': 2, 'group_order': 94950, 'label': '15U7', 'order': 15, 'powers': [228, 14, 8, 231, 233], 'representative': 56200, 'size': 211}
  • id: 97994991
    {'aut_label': '15P-1', 'centralizer': '211.a1', 'counter': 234, 'group_counter': 2, 'group_order': 94950, 'label': '15U-7', 'order': 15, 'powers': [227, 13, 7, 232, 234], 'representative': 93230, 'size': 211}
  • id: 97994992
    {'aut_label': '15K1', 'centralizer': '211.a1', 'counter': 235, 'group_counter': 2, 'group_order': 94950, 'label': '15V1', 'order': 15, 'powers': [237, 22, 3, 241, 235], 'representative': 15546, 'size': 211}
  • id: 97994993
    {'aut_label': '15K-1', 'centralizer': '211.a1', 'counter': 236, 'group_counter': 2, 'group_order': 94950, 'label': '15V-1', 'order': 15, 'powers': [238, 21, 4, 242, 236], 'representative': 67734, 'size': 211}
  • id: 97994994
    {'aut_label': '15K2', 'centralizer': '211.a1', 'counter': 237, 'group_counter': 2, 'group_order': 94950, 'label': '15V2', 'order': 15, 'powers': [239, 19, 4, 236, 237], 'representative': 13542, 'size': 211}
  • id: 97994995
    {'aut_label': '15K-2', 'centralizer': '211.a1', 'counter': 238, 'group_counter': 2, 'group_order': 94950, 'label': '15V-2', 'order': 15, 'powers': [240, 20, 3, 235, 238], 'representative': 64338, 'size': 211}
  • id: 97994996
    {'aut_label': '15K-1', 'centralizer': '211.a1', 'counter': 239, 'group_counter': 2, 'group_order': 94950, 'label': '15V4', 'order': 15, 'powers': [242, 21, 3, 238, 239], 'representative': 36084, 'size': 211}
  • id: 97994998
    {'aut_label': '15K1', 'centralizer': '211.a1', 'counter': 240, 'group_counter': 2, 'group_order': 94950, 'label': '15V-4', 'order': 15, 'powers': [241, 22, 4, 237, 240], 'representative': 47196, 'size': 211}
  • id: 97994999
    {'aut_label': '15K2', 'centralizer': '211.a1', 'counter': 241, 'group_counter': 2, 'group_order': 94950, 'label': '15V7', 'order': 15, 'powers': [236, 19, 3, 239, 241], 'representative': 76842, 'size': 211}
  • id: 97995000
    {'aut_label': '15K-2', 'centralizer': '211.a1', 'counter': 242, 'group_counter': 2, 'group_order': 94950, 'label': '15V-7', 'order': 15, 'powers': [235, 20, 4, 240, 242], 'representative': 1038, 'size': 211}
  • id: 97995001
    {'aut_label': '15K1', 'centralizer': '211.a1', 'counter': 243, 'group_counter': 2, 'group_order': 94950, 'label': '15W1', 'order': 15, 'powers': [245, 18, 4, 249, 243], 'representative': 66906, 'size': 211}
  • id: 97995002
    {'aut_label': '15K-1', 'centralizer': '211.a1', 'counter': 244, 'group_counter': 2, 'group_order': 94950, 'label': '15W-1', 'order': 15, 'powers': [246, 17, 3, 250, 244], 'representative': 60924, 'size': 211}
  • id: 97995003
    {'aut_label': '15K2', 'centralizer': '211.a1', 'counter': 245, 'group_counter': 2, 'group_order': 94950, 'label': '15W2', 'order': 15, 'powers': [247, 15, 3, 244, 245], 'representative': 40662, 'size': 211}
  • id: 97995004
    {'aut_label': '15K-2', 'centralizer': '211.a1', 'counter': 246, 'group_counter': 2, 'group_order': 94950, 'label': '15W-2', 'order': 15, 'powers': [248, 16, 4, 243, 246], 'representative': 80418, 'size': 211}
  • id: 97995005
    {'aut_label': '15K-1', 'centralizer': '211.a1', 'counter': 247, 'group_counter': 2, 'group_order': 94950, 'label': '15W4', 'order': 15, 'powers': [250, 17, 4, 246, 247], 'representative': 92574, 'size': 211}
  • id: 97995006
    {'aut_label': '15K1', 'centralizer': '211.a1', 'counter': 248, 'group_counter': 2, 'group_order': 94950, 'label': '15W-4', 'order': 15, 'powers': [249, 18, 3, 245, 248], 'representative': 35256, 'size': 211}
  • id: 97995007
    {'aut_label': '15K2', 'centralizer': '211.a1', 'counter': 249, 'group_counter': 2, 'group_order': 94950, 'label': '15W7', 'order': 15, 'powers': [244, 15, 4, 247, 249], 'representative': 72312, 'size': 211}
  • id: 97995009
    {'aut_label': '15K-2', 'centralizer': '211.a1', 'counter': 250, 'group_counter': 2, 'group_order': 94950, 'label': '15W-7', 'order': 15, 'powers': [243, 16, 3, 248, 250], 'representative': 48768, 'size': 211}
  • id: 97995010
    {'aut_label': '15K1', 'centralizer': '211.a1', 'counter': 251, 'group_counter': 2, 'group_order': 94950, 'label': '15X1', 'order': 15, 'powers': [253, 26, 4, 257, 251], 'representative': 31086, 'size': 211}
  • id: 97995011
    {'aut_label': '15K-1', 'centralizer': '211.a1', 'counter': 252, 'group_counter': 2, 'group_order': 94950, 'label': '15X-1', 'order': 15, 'powers': [254, 25, 3, 258, 252], 'representative': 40494, 'size': 211}
  • id: 97995012
    {'aut_label': '15K2', 'centralizer': '211.a1', 'counter': 253, 'group_counter': 2, 'group_order': 94950, 'label': '15X2', 'order': 15, 'powers': [255, 23, 3, 252, 253], 'representative': 27072, 'size': 211}
  • id: 97995013
    {'aut_label': '15K-2', 'centralizer': '211.a1', 'counter': 254, 'group_counter': 2, 'group_order': 94950, 'label': '15X-2', 'order': 15, 'powers': [256, 24, 4, 251, 254], 'representative': 33708, 'size': 211}
  • id: 97995014
    {'aut_label': '15K-1', 'centralizer': '211.a1', 'counter': 255, 'group_counter': 2, 'group_order': 94950, 'label': '15X4', 'order': 15, 'powers': [258, 25, 4, 254, 255], 'representative': 72144, 'size': 211}
  • id: 97995015
    {'aut_label': '15K1', 'centralizer': '211.a1', 'counter': 256, 'group_counter': 2, 'group_order': 94950, 'label': '15X-4', 'order': 15, 'powers': [257, 26, 3, 253, 256], 'representative': 94386, 'size': 211}
  • id: 97995016
    {'aut_label': '15K2', 'centralizer': '211.a1', 'counter': 257, 'group_counter': 2, 'group_order': 94950, 'label': '15X7', 'order': 15, 'powers': [252, 23, 4, 255, 257], 'representative': 58722, 'size': 211}
  • id: 97995017
    {'aut_label': '15K-2', 'centralizer': '211.a1', 'counter': 258, 'group_counter': 2, 'group_order': 94950, 'label': '15X-7', 'order': 15, 'powers': [251, 24, 3, 256, 258], 'representative': 2058, 'size': 211}
  • id: 97995018
    {'aut_label': '30A1', 'centralizer': '211.a1', 'counter': 259, 'group_counter': 2, 'group_order': 94950, 'label': '30A1', 'order': 30, 'powers': [75, 43, 35, 261, 259], 'representative': 1, 'size': 211}
  • id: 97995020
    {'aut_label': '30A-1', 'centralizer': '211.a1', 'counter': 260, 'group_counter': 2, 'group_order': 94950, 'label': '30A-1', 'order': 30, 'powers': [76, 44, 36, 262, 260], 'representative': 29, 'size': 211}
  • id: 97995021
    {'aut_label': '30A7', 'centralizer': '211.a1', 'counter': 261, 'group_counter': 2, 'group_order': 94950, 'label': '30A7', 'order': 30, 'powers': [81, 46, 35, 264, 261], 'representative': 7, 'size': 211}
  • id: 97995022
    {'aut_label': '30A-7', 'centralizer': '211.a1', 'counter': 262, 'group_counter': 2, 'group_order': 94950, 'label': '30A-7', 'order': 30, 'powers': [82, 45, 36, 263, 262], 'representative': 23, 'size': 211}
  • id: 97995023
    {'aut_label': '30A11', 'centralizer': '211.a1', 'counter': 263, 'group_counter': 2, 'group_order': 94950, 'label': '30A11', 'order': 30, 'powers': [80, 43, 36, 266, 263], 'representative': 11, 'size': 211}
  • id: 97995024
    {'aut_label': '30A-11', 'centralizer': '211.a1', 'counter': 264, 'group_counter': 2, 'group_order': 94950, 'label': '30A-11', 'order': 30, 'powers': [79, 44, 35, 265, 264], 'representative': 19, 'size': 211}
  • id: 97995025
    {'aut_label': '30A13', 'centralizer': '211.a1', 'counter': 265, 'group_counter': 2, 'group_order': 94950, 'label': '30A13', 'order': 30, 'powers': [78, 45, 35, 259, 265], 'representative': 13, 'size': 211}
  • id: 97995026
    {'aut_label': '30A-13', 'centralizer': '211.a1', 'counter': 266, 'group_counter': 2, 'group_order': 94950, 'label': '30A-13', 'order': 30, 'powers': [77, 46, 36, 260, 266], 'representative': 17, 'size': 211}
  • id: 97995027
    {'aut_label': '30A1', 'centralizer': '211.a1', 'counter': 267, 'group_counter': 2, 'group_order': 94950, 'label': '30B1', 'order': 30, 'powers': [83, 47, 35, 269, 267], 'representative': 91, 'size': 211}
  • id: 97995028
    {'aut_label': '30A-1', 'centralizer': '211.a1', 'counter': 268, 'group_counter': 2, 'group_order': 94950, 'label': '30B-1', 'order': 30, 'powers': [84, 48, 36, 270, 268], 'representative': 389, 'size': 211}
  • id: 97995029
    {'aut_label': '30A7', 'centralizer': '211.a1', 'counter': 269, 'group_counter': 2, 'group_order': 94950, 'label': '30B7', 'order': 30, 'powers': [89, 50, 35, 272, 269], 'representative': 187, 'size': 211}
  • id: 97995031
    {'aut_label': '30A-7', 'centralizer': '211.a1', 'counter': 270, 'group_counter': 2, 'group_order': 94950, 'label': '30B-7', 'order': 30, 'powers': [90, 49, 36, 271, 270], 'representative': 293, 'size': 211}
  • id: 97995032
    {'aut_label': '30A11', 'centralizer': '211.a1', 'counter': 271, 'group_counter': 2, 'group_order': 94950, 'label': '30B11', 'order': 30, 'powers': [88, 47, 36, 274, 271], 'representative': 101, 'size': 211}
  • id: 97995033
    {'aut_label': '30A-11', 'centralizer': '211.a1', 'counter': 272, 'group_counter': 2, 'group_order': 94950, 'label': '30B-11', 'order': 30, 'powers': [87, 48, 35, 273, 272], 'representative': 379, 'size': 211}
  • id: 97995034
    {'aut_label': '30A13', 'centralizer': '211.a1', 'counter': 273, 'group_counter': 2, 'group_order': 94950, 'label': '30B13', 'order': 30, 'powers': [86, 49, 35, 267, 273], 'representative': 283, 'size': 211}
  • id: 97995035
    {'aut_label': '30A-13', 'centralizer': '211.a1', 'counter': 274, 'group_counter': 2, 'group_order': 94950, 'label': '30B-13', 'order': 30, 'powers': [85, 50, 36, 268, 274], 'representative': 197, 'size': 211}
  • id: 97995036
    {'aut_label': '30A1', 'centralizer': '211.a1', 'counter': 275, 'group_counter': 2, 'group_order': 94950, 'label': '30C1', 'order': 30, 'powers': [91, 51, 37, 277, 275], 'representative': 31, 'size': 211}
  • id: 97995037
    {'aut_label': '30A-1', 'centralizer': '211.a1', 'counter': 276, 'group_counter': 2, 'group_order': 94950, 'label': '30C-1', 'order': 30, 'powers': [92, 52, 38, 278, 276], 'representative': 449, 'size': 211}
  • id: 97995038
    {'aut_label': '30A7', 'centralizer': '211.a1', 'counter': 277, 'group_counter': 2, 'group_order': 94950, 'label': '30C7', 'order': 30, 'powers': [97, 54, 37, 280, 277], 'representative': 217, 'size': 211}
  • id: 97995039
    {'aut_label': '30A-7', 'centralizer': '211.a1', 'counter': 278, 'group_counter': 2, 'group_order': 94950, 'label': '30C-7', 'order': 30, 'powers': [98, 53, 38, 279, 278], 'representative': 263, 'size': 211}
  • id: 97995040
    {'aut_label': '30A11', 'centralizer': '211.a1', 'counter': 279, 'group_counter': 2, 'group_order': 94950, 'label': '30C11', 'order': 30, 'powers': [96, 51, 38, 282, 279], 'representative': 341, 'size': 211}
  • id: 97995042
    {'aut_label': '30A-11', 'centralizer': '211.a1', 'counter': 280, 'group_counter': 2, 'group_order': 94950, 'label': '30C-11', 'order': 30, 'powers': [95, 52, 37, 281, 280], 'representative': 139, 'size': 211}
  • id: 97995043
    {'aut_label': '30A13', 'centralizer': '211.a1', 'counter': 281, 'group_counter': 2, 'group_order': 94950, 'label': '30C13', 'order': 30, 'powers': [94, 53, 37, 275, 281], 'representative': 403, 'size': 211}
  • id: 97995044
    {'aut_label': '30A-13', 'centralizer': '211.a1', 'counter': 282, 'group_counter': 2, 'group_order': 94950, 'label': '30C-13', 'order': 30, 'powers': [93, 54, 38, 276, 282], 'representative': 77, 'size': 211}
  • id: 97995045
    {'aut_label': '30A1', 'centralizer': '211.a1', 'counter': 283, 'group_counter': 2, 'group_order': 94950, 'label': '30D1', 'order': 30, 'powers': [99, 51, 35, 285, 283], 'representative': 181, 'size': 211}
  • id: 97995046
    {'aut_label': '30A-1', 'centralizer': '211.a1', 'counter': 284, 'group_counter': 2, 'group_order': 94950, 'label': '30D-1', 'order': 30, 'powers': [100, 52, 36, 286, 284], 'representative': 299, 'size': 211}
  • id: 97995047
    {'aut_label': '30A7', 'centralizer': '211.a1', 'counter': 285, 'group_counter': 2, 'group_order': 94950, 'label': '30D7', 'order': 30, 'powers': [105, 54, 35, 288, 285], 'representative': 367, 'size': 211}
  • id: 97995048
    {'aut_label': '30A-7', 'centralizer': '211.a1', 'counter': 286, 'group_counter': 2, 'group_order': 94950, 'label': '30D-7', 'order': 30, 'powers': [106, 53, 36, 287, 286], 'representative': 113, 'size': 211}
  • id: 97995049
    {'aut_label': '30A11', 'centralizer': '211.a1', 'counter': 287, 'group_counter': 2, 'group_order': 94950, 'label': '30D11', 'order': 30, 'powers': [104, 51, 36, 290, 287], 'representative': 191, 'size': 211}
  • id: 97995050
    {'aut_label': '30A-11', 'centralizer': '211.a1', 'counter': 288, 'group_counter': 2, 'group_order': 94950, 'label': '30D-11', 'order': 30, 'powers': [103, 52, 35, 289, 288], 'representative': 289, 'size': 211}
  • id: 97995051
    {'aut_label': '30A13', 'centralizer': '211.a1', 'counter': 289, 'group_counter': 2, 'group_order': 94950, 'label': '30D13', 'order': 30, 'powers': [102, 53, 35, 283, 289], 'representative': 103, 'size': 211}
  • id: 97995053
    {'aut_label': '30A-13', 'centralizer': '211.a1', 'counter': 290, 'group_counter': 2, 'group_order': 94950, 'label': '30D-13', 'order': 30, 'powers': [101, 54, 36, 284, 290], 'representative': 377, 'size': 211}
  • id: 97995054
    {'aut_label': '30A1', 'centralizer': '211.a1', 'counter': 291, 'group_counter': 2, 'group_order': 94950, 'label': '30E1', 'order': 30, 'powers': [107, 55, 39, 293, 291], 'representative': 61, 'size': 211}
  • id: 97995055
    {'aut_label': '30A-1', 'centralizer': '211.a1', 'counter': 292, 'group_counter': 2, 'group_order': 94950, 'label': '30E-1', 'order': 30, 'powers': [108, 56, 40, 294, 292], 'representative': 419, 'size': 211}
  • id: 97995056
    {'aut_label': '30A7', 'centralizer': '211.a1', 'counter': 293, 'group_counter': 2, 'group_order': 94950, 'label': '30E7', 'order': 30, 'powers': [113, 58, 39, 296, 293], 'representative': 427, 'size': 211}
  • id: 97995057
    {'aut_label': '30A-7', 'centralizer': '211.a1', 'counter': 294, 'group_counter': 2, 'group_order': 94950, 'label': '30E-7', 'order': 30, 'powers': [114, 57, 40, 295, 294], 'representative': 53, 'size': 211}
  • id: 97995058
    {'aut_label': '30A11', 'centralizer': '211.a1', 'counter': 295, 'group_counter': 2, 'group_order': 94950, 'label': '30E11', 'order': 30, 'powers': [112, 55, 40, 298, 295], 'representative': 221, 'size': 211}
  • id: 97995059
    {'aut_label': '30A-11', 'centralizer': '211.a1', 'counter': 296, 'group_counter': 2, 'group_order': 94950, 'label': '30E-11', 'order': 30, 'powers': [111, 56, 39, 297, 296], 'representative': 259, 'size': 211}
  • id: 97995060
    {'aut_label': '30A13', 'centralizer': '211.a1', 'counter': 297, 'group_counter': 2, 'group_order': 94950, 'label': '30E13', 'order': 30, 'powers': [110, 57, 39, 291, 297], 'representative': 343, 'size': 211}
  • id: 97995061
    {'aut_label': '30A-13', 'centralizer': '211.a1', 'counter': 298, 'group_counter': 2, 'group_order': 94950, 'label': '30E-13', 'order': 30, 'powers': [109, 58, 40, 292, 298], 'representative': 137, 'size': 211}
  • id: 97995062
    {'aut_label': '30A1', 'centralizer': '211.a1', 'counter': 299, 'group_counter': 2, 'group_order': 94950, 'label': '30F1', 'order': 30, 'powers': [115, 59, 35, 301, 299], 'representative': 271, 'size': 211}
  • id: 97995065
    {'aut_label': '30A-1', 'centralizer': '211.a1', 'counter': 300, 'group_counter': 2, 'group_order': 94950, 'label': '30F-1', 'order': 30, 'powers': [116, 60, 36, 302, 300], 'representative': 209, 'size': 211}
  • id: 97995066
    {'aut_label': '30A7', 'centralizer': '211.a1', 'counter': 301, 'group_counter': 2, 'group_order': 94950, 'label': '30F7', 'order': 30, 'powers': [121, 62, 35, 304, 301], 'representative': 97, 'size': 211}
  • id: 97995067
    {'aut_label': '30A-7', 'centralizer': '211.a1', 'counter': 302, 'group_counter': 2, 'group_order': 94950, 'label': '30F-7', 'order': 30, 'powers': [122, 61, 36, 303, 302], 'representative': 383, 'size': 211}
  • id: 97995068
    {'aut_label': '30A11', 'centralizer': '211.a1', 'counter': 303, 'group_counter': 2, 'group_order': 94950, 'label': '30F11', 'order': 30, 'powers': [120, 59, 36, 306, 303], 'representative': 281, 'size': 211}
  • id: 97995069
    {'aut_label': '30A-11', 'centralizer': '211.a1', 'counter': 304, 'group_counter': 2, 'group_order': 94950, 'label': '30F-11', 'order': 30, 'powers': [119, 60, 35, 305, 304], 'representative': 199, 'size': 211}
  • id: 97995070
    {'aut_label': '30A13', 'centralizer': '211.a1', 'counter': 305, 'group_counter': 2, 'group_order': 94950, 'label': '30F13', 'order': 30, 'powers': [118, 61, 35, 299, 305], 'representative': 373, 'size': 211}
  • id: 97995071
    {'aut_label': '30A-13', 'centralizer': '211.a1', 'counter': 306, 'group_counter': 2, 'group_order': 94950, 'label': '30F-13', 'order': 30, 'powers': [117, 62, 36, 300, 306], 'representative': 107, 'size': 211}
  • id: 97995072
    {'aut_label': '30A1', 'centralizer': '211.a1', 'counter': 307, 'group_counter': 2, 'group_order': 94950, 'label': '30G1', 'order': 30, 'powers': [123, 55, 35, 309, 307], 'representative': 361, 'size': 211}
  • id: 97995073
    {'aut_label': '30A-1', 'centralizer': '211.a1', 'counter': 308, 'group_counter': 2, 'group_order': 94950, 'label': '30G-1', 'order': 30, 'powers': [124, 56, 36, 310, 308], 'representative': 119, 'size': 211}
  • id: 97995074
    {'aut_label': '30A7', 'centralizer': '211.a1', 'counter': 309, 'group_counter': 2, 'group_order': 94950, 'label': '30G7', 'order': 30, 'powers': [129, 58, 35, 312, 309], 'representative': 277, 'size': 211}
  • id: 97995076
    {'aut_label': '30A-7', 'centralizer': '211.a1', 'counter': 310, 'group_counter': 2, 'group_order': 94950, 'label': '30G-7', 'order': 30, 'powers': [130, 57, 36, 311, 310], 'representative': 203, 'size': 211}
  • id: 97995077
    {'aut_label': '30A11', 'centralizer': '211.a1', 'counter': 311, 'group_counter': 2, 'group_order': 94950, 'label': '30G11', 'order': 30, 'powers': [128, 55, 36, 314, 311], 'representative': 371, 'size': 211}
  • id: 97995078
    {'aut_label': '30A-11', 'centralizer': '211.a1', 'counter': 312, 'group_counter': 2, 'group_order': 94950, 'label': '30G-11', 'order': 30, 'powers': [127, 56, 35, 313, 312], 'representative': 109, 'size': 211}
  • id: 97995079
    {'aut_label': '30A13', 'centralizer': '211.a1', 'counter': 313, 'group_counter': 2, 'group_order': 94950, 'label': '30G13', 'order': 30, 'powers': [126, 57, 35, 307, 313], 'representative': 193, 'size': 211}
  • id: 97995080
    {'aut_label': '30A-13', 'centralizer': '211.a1', 'counter': 314, 'group_counter': 2, 'group_order': 94950, 'label': '30G-13', 'order': 30, 'powers': [125, 58, 36, 308, 314], 'representative': 287, 'size': 211}
  • id: 97995081
    {'aut_label': '30A1', 'centralizer': '211.a1', 'counter': 315, 'group_counter': 2, 'group_order': 94950, 'label': '30H1', 'order': 30, 'powers': [131, 59, 37, 317, 315], 'representative': 121, 'size': 211}
  • id: 97995082
    {'aut_label': '30A-1', 'centralizer': '211.a1', 'counter': 316, 'group_counter': 2, 'group_order': 94950, 'label': '30H-1', 'order': 30, 'powers': [132, 60, 38, 318, 316], 'representative': 359, 'size': 211}
  • id: 97995083
    {'aut_label': '30A7', 'centralizer': '211.a1', 'counter': 317, 'group_counter': 2, 'group_order': 94950, 'label': '30H7', 'order': 30, 'powers': [137, 62, 37, 320, 317], 'representative': 397, 'size': 211}
  • id: 97995084
    {'aut_label': '30A-7', 'centralizer': '211.a1', 'counter': 318, 'group_counter': 2, 'group_order': 94950, 'label': '30H-7', 'order': 30, 'powers': [138, 61, 38, 319, 318], 'representative': 83, 'size': 211}
  • id: 97995085
    {'aut_label': '30A11', 'centralizer': '211.a1', 'counter': 319, 'group_counter': 2, 'group_order': 94950, 'label': '30H11', 'order': 30, 'powers': [136, 59, 38, 322, 319], 'representative': 431, 'size': 211}
  • id: 97995087
    {'aut_label': '30A-11', 'centralizer': '211.a1', 'counter': 320, 'group_counter': 2, 'group_order': 94950, 'label': '30H-11', 'order': 30, 'powers': [135, 60, 37, 321, 320], 'representative': 49, 'size': 211}
  • id: 97995088
    {'aut_label': '30A13', 'centralizer': '211.a1', 'counter': 321, 'group_counter': 2, 'group_order': 94950, 'label': '30H13', 'order': 30, 'powers': [134, 61, 37, 315, 321], 'representative': 223, 'size': 211}
  • id: 97995089
    {'aut_label': '30A-13', 'centralizer': '211.a1', 'counter': 322, 'group_counter': 2, 'group_order': 94950, 'label': '30H-13', 'order': 30, 'powers': [133, 62, 38, 316, 322], 'representative': 257, 'size': 211}
  • id: 97995090
    {'aut_label': '30A7', 'centralizer': '211.a1', 'counter': 323, 'group_counter': 2, 'group_order': 94950, 'label': '30I1', 'order': 30, 'powers': [139, 50, 37, 325, 323], 'representative': 37, 'size': 211}
  • id: 97995091
    {'aut_label': '30A-7', 'centralizer': '211.a1', 'counter': 324, 'group_counter': 2, 'group_order': 94950, 'label': '30I-1', 'order': 30, 'powers': [140, 49, 38, 326, 324], 'representative': 443, 'size': 211}
  • id: 97995092
    {'aut_label': '30A-11', 'centralizer': '211.a1', 'counter': 325, 'group_counter': 2, 'group_order': 94950, 'label': '30I7', 'order': 30, 'powers': [145, 48, 37, 328, 325], 'representative': 229, 'size': 211}
  • id: 97995093
    {'aut_label': '30A11', 'centralizer': '211.a1', 'counter': 326, 'group_counter': 2, 'group_order': 94950, 'label': '30I-7', 'order': 30, 'powers': [146, 47, 38, 327, 326], 'representative': 251, 'size': 211}
  • id: 97995094
    {'aut_label': '30A-13', 'centralizer': '211.a1', 'counter': 327, 'group_counter': 2, 'group_order': 94950, 'label': '30I11', 'order': 30, 'powers': [144, 50, 38, 330, 327], 'representative': 347, 'size': 211}
  • id: 97995095
    {'aut_label': '30A13', 'centralizer': '211.a1', 'counter': 328, 'group_counter': 2, 'group_order': 94950, 'label': '30I-11', 'order': 30, 'powers': [143, 49, 37, 329, 328], 'representative': 133, 'size': 211}
  • id: 97995096
    {'aut_label': '30A1', 'centralizer': '211.a1', 'counter': 329, 'group_counter': 2, 'group_order': 94950, 'label': '30I13', 'order': 30, 'powers': [142, 47, 37, 323, 329], 'representative': 391, 'size': 211}
  • id: 97995098
    {'aut_label': '30A-1', 'centralizer': '211.a1', 'counter': 330, 'group_counter': 2, 'group_order': 94950, 'label': '30I-13', 'order': 30, 'powers': [141, 48, 38, 324, 330], 'representative': 89, 'size': 211}
  • id: 97995099
    {'aut_label': '30J1', 'centralizer': '211.a1', 'counter': 331, 'group_counter': 2, 'group_order': 94950, 'label': '30J1', 'order': 30, 'powers': [147, 57, 41, 333, 331], 'representative': 33, 'size': 211}
  • id: 97995100
    {'aut_label': '30J-1', 'centralizer': '211.a1', 'counter': 332, 'group_counter': 2, 'group_order': 94950, 'label': '30J-1', 'order': 30, 'powers': [148, 58, 42, 334, 332], 'representative': 447, 'size': 211}
  • id: 97995101
    {'aut_label': '30J7', 'centralizer': '211.a1', 'counter': 333, 'group_counter': 2, 'group_order': 94950, 'label': '30J7', 'order': 30, 'powers': [153, 55, 41, 336, 333], 'representative': 231, 'size': 211}
  • id: 97995102
    {'aut_label': '30J-7', 'centralizer': '211.a1', 'counter': 334, 'group_counter': 2, 'group_order': 94950, 'label': '30J-7', 'order': 30, 'powers': [154, 56, 42, 335, 334], 'representative': 249, 'size': 211}
  • id: 97995103
    {'aut_label': '30J1', 'centralizer': '211.a1', 'counter': 335, 'group_counter': 2, 'group_order': 94950, 'label': '30J11', 'order': 30, 'powers': [152, 57, 42, 338, 335], 'representative': 333, 'size': 211}
  • id: 97995104
    {'aut_label': '30J-1', 'centralizer': '211.a1', 'counter': 336, 'group_counter': 2, 'group_order': 94950, 'label': '30J-11', 'order': 30, 'powers': [151, 58, 41, 337, 336], 'representative': 147, 'size': 211}
  • id: 97995105
    {'aut_label': '30J-7', 'centralizer': '211.a1', 'counter': 337, 'group_counter': 2, 'group_order': 94950, 'label': '30J13', 'order': 30, 'powers': [150, 56, 41, 331, 337], 'representative': 399, 'size': 211}
  • id: 97995106
    {'aut_label': '30J7', 'centralizer': '211.a1', 'counter': 338, 'group_counter': 2, 'group_order': 94950, 'label': '30J-13', 'order': 30, 'powers': [149, 55, 42, 332, 338], 'representative': 81, 'size': 211}
  • id: 97995107
    {'aut_label': '30A1', 'centralizer': '211.a1', 'counter': 339, 'group_counter': 2, 'group_order': 94950, 'label': '30K1', 'order': 30, 'powers': [155, 55, 37, 341, 339], 'representative': 211, 'size': 211}
  • id: 97995109
    {'aut_label': '30A-1', 'centralizer': '211.a1', 'counter': 340, 'group_counter': 2, 'group_order': 94950, 'label': '30K-1', 'order': 30, 'powers': [156, 56, 38, 342, 340], 'representative': 269, 'size': 211}
  • id: 97995110
    {'aut_label': '30A7', 'centralizer': '211.a1', 'counter': 341, 'group_counter': 2, 'group_order': 94950, 'label': '30K7', 'order': 30, 'powers': [161, 58, 37, 344, 341], 'representative': 127, 'size': 211}
  • id: 97995111
    {'aut_label': '30A-7', 'centralizer': '211.a1', 'counter': 342, 'group_counter': 2, 'group_order': 94950, 'label': '30K-7', 'order': 30, 'powers': [162, 57, 38, 343, 342], 'representative': 353, 'size': 211}
  • id: 97995112
    {'aut_label': '30A11', 'centralizer': '211.a1', 'counter': 343, 'group_counter': 2, 'group_order': 94950, 'label': '30K11', 'order': 30, 'powers': [160, 55, 38, 346, 343], 'representative': 71, 'size': 211}
  • id: 97995113
    {'aut_label': '30A-11', 'centralizer': '211.a1', 'counter': 344, 'group_counter': 2, 'group_order': 94950, 'label': '30K-11', 'order': 30, 'powers': [159, 56, 37, 345, 344], 'representative': 409, 'size': 211}
  • id: 97995114
    {'aut_label': '30A13', 'centralizer': '211.a1', 'counter': 345, 'group_counter': 2, 'group_order': 94950, 'label': '30K13', 'order': 30, 'powers': [158, 57, 37, 339, 345], 'representative': 43, 'size': 211}
  • id: 97995115
    {'aut_label': '30A-13', 'centralizer': '211.a1', 'counter': 346, 'group_counter': 2, 'group_order': 94950, 'label': '30K-13', 'order': 30, 'powers': [157, 58, 38, 340, 346], 'representative': 437, 'size': 211}
  • id: 97995116
    {'aut_label': '30A1', 'centralizer': '211.a1', 'counter': 347, 'group_counter': 2, 'group_order': 94950, 'label': '30L1', 'order': 30, 'powers': [163, 43, 39, 349, 347], 'representative': 151, 'size': 211}
  • id: 97995117
    {'aut_label': '30A-1', 'centralizer': '211.a1', 'counter': 348, 'group_counter': 2, 'group_order': 94950, 'label': '30L-1', 'order': 30, 'powers': [164, 44, 40, 350, 348], 'representative': 329, 'size': 211}
  • id: 97995118
    {'aut_label': '30A7', 'centralizer': '211.a1', 'counter': 349, 'group_counter': 2, 'group_order': 94950, 'label': '30L7', 'order': 30, 'powers': [169, 46, 39, 352, 349], 'representative': 157, 'size': 211}
  • id: 97995120
    {'aut_label': '30A-7', 'centralizer': '211.a1', 'counter': 350, 'group_counter': 2, 'group_order': 94950, 'label': '30L-7', 'order': 30, 'powers': [170, 45, 40, 351, 350], 'representative': 323, 'size': 211}
  • id: 97995121
    {'aut_label': '30A11', 'centralizer': '211.a1', 'counter': 351, 'group_counter': 2, 'group_order': 94950, 'label': '30L11', 'order': 30, 'powers': [168, 43, 40, 354, 351], 'representative': 311, 'size': 211}
  • id: 97995122
    {'aut_label': '30A-11', 'centralizer': '211.a1', 'counter': 352, 'group_counter': 2, 'group_order': 94950, 'label': '30L-11', 'order': 30, 'powers': [167, 44, 39, 353, 352], 'representative': 169, 'size': 211}
  • id: 97995123
    {'aut_label': '30A13', 'centralizer': '211.a1', 'counter': 353, 'group_counter': 2, 'group_order': 94950, 'label': '30L13', 'order': 30, 'powers': [166, 45, 39, 347, 353], 'representative': 163, 'size': 211}
  • id: 97995124
    {'aut_label': '30A-13', 'centralizer': '211.a1', 'counter': 354, 'group_counter': 2, 'group_order': 94950, 'label': '30L-13', 'order': 30, 'powers': [165, 46, 40, 348, 354], 'representative': 317, 'size': 211}
  • id: 97995125
    {'aut_label': '30A7', 'centralizer': '211.a1', 'counter': 355, 'group_counter': 2, 'group_order': 94950, 'label': '30M1', 'order': 30, 'powers': [171, 54, 39, 357, 355], 'representative': 67, 'size': 211}
  • id: 97995126
    {'aut_label': '30A-7', 'centralizer': '211.a1', 'counter': 356, 'group_counter': 2, 'group_order': 94950, 'label': '30M-1', 'order': 30, 'powers': [172, 53, 40, 358, 356], 'representative': 413, 'size': 211}
  • id: 97995127
    {'aut_label': '30A-11', 'centralizer': '211.a1', 'counter': 357, 'group_counter': 2, 'group_order': 94950, 'label': '30M7', 'order': 30, 'powers': [177, 52, 39, 360, 357], 'representative': 439, 'size': 211}
  • id: 97995128
    {'aut_label': '30A11', 'centralizer': '211.a1', 'counter': 358, 'group_counter': 2, 'group_order': 94950, 'label': '30M-7', 'order': 30, 'powers': [178, 51, 40, 359, 358], 'representative': 41, 'size': 211}
  • id: 97995129
    {'aut_label': '30A-13', 'centralizer': '211.a1', 'counter': 359, 'group_counter': 2, 'group_order': 94950, 'label': '30M11', 'order': 30, 'powers': [176, 54, 40, 362, 359], 'representative': 227, 'size': 211}
  • id: 97995131
    {'aut_label': '30A13', 'centralizer': '211.a1', 'counter': 360, 'group_counter': 2, 'group_order': 94950, 'label': '30M-11', 'order': 30, 'powers': [175, 53, 39, 361, 360], 'representative': 253, 'size': 211}
  • id: 97995132
    {'aut_label': '30A1', 'centralizer': '211.a1', 'counter': 361, 'group_counter': 2, 'group_order': 94950, 'label': '30M13', 'order': 30, 'powers': [174, 51, 39, 355, 361], 'representative': 331, 'size': 211}
  • id: 97995133
    {'aut_label': '30A-1', 'centralizer': '211.a1', 'counter': 362, 'group_counter': 2, 'group_order': 94950, 'label': '30M-13', 'order': 30, 'powers': [173, 52, 40, 356, 362], 'representative': 149, 'size': 211}
  • id: 97995134
    {'aut_label': '30J1', 'centralizer': '211.a1', 'counter': 363, 'group_counter': 2, 'group_order': 94950, 'label': '30N1', 'order': 30, 'powers': [179, 61, 42, 365, 363], 'representative': 63, 'size': 211}
  • id: 97995135
    {'aut_label': '30J-1', 'centralizer': '211.a1', 'counter': 364, 'group_counter': 2, 'group_order': 94950, 'label': '30N-1', 'order': 30, 'powers': [180, 62, 41, 366, 364], 'representative': 417, 'size': 211}
  • id: 97995136
    {'aut_label': '30J7', 'centralizer': '211.a1', 'counter': 365, 'group_counter': 2, 'group_order': 94950, 'label': '30N7', 'order': 30, 'powers': [185, 59, 42, 368, 365], 'representative': 441, 'size': 211}
  • id: 97995137
    {'aut_label': '30J-7', 'centralizer': '211.a1', 'counter': 366, 'group_counter': 2, 'group_order': 94950, 'label': '30N-7', 'order': 30, 'powers': [186, 60, 41, 367, 366], 'representative': 39, 'size': 211}
  • id: 97995138
    {'aut_label': '30J1', 'centralizer': '211.a1', 'counter': 367, 'group_counter': 2, 'group_order': 94950, 'label': '30N11', 'order': 30, 'powers': [184, 61, 41, 370, 367], 'representative': 213, 'size': 211}
  • id: 97995139
    {'aut_label': '30J-1', 'centralizer': '211.a1', 'counter': 368, 'group_counter': 2, 'group_order': 94950, 'label': '30N-11', 'order': 30, 'powers': [183, 62, 42, 369, 368], 'representative': 267, 'size': 211}
  • id: 97995140
    {'aut_label': '30J-7', 'centralizer': '211.a1', 'counter': 369, 'group_counter': 2, 'group_order': 94950, 'label': '30N13', 'order': 30, 'powers': [182, 60, 42, 363, 369], 'representative': 339, 'size': 211}
  • id: 97995142
    {'aut_label': '30J7', 'centralizer': '211.a1', 'counter': 370, 'group_counter': 2, 'group_order': 94950, 'label': '30N-13', 'order': 30, 'powers': [181, 59, 41, 364, 370], 'representative': 141, 'size': 211}
  • id: 97995143
    {'aut_label': '30O1', 'centralizer': '211.a1', 'counter': 371, 'group_counter': 2, 'group_order': 94950, 'label': '30O1', 'order': 30, 'powers': [187, 63, 36, 373, 371], 'representative': 95, 'size': 211}
  • id: 97995144
    {'aut_label': '30O-1', 'centralizer': '211.a1', 'counter': 372, 'group_counter': 2, 'group_order': 94950, 'label': '30O-1', 'order': 30, 'powers': [188, 64, 35, 374, 372], 'representative': 385, 'size': 211}
  • id: 97995145
    {'aut_label': '30O1', 'centralizer': '211.a1', 'counter': 373, 'group_counter': 2, 'group_order': 94950, 'label': '30O7', 'order': 30, 'powers': [193, 66, 36, 376, 373], 'representative': 185, 'size': 211}
  • id: 97995146
    {'aut_label': '30O-1', 'centralizer': '211.a1', 'counter': 374, 'group_counter': 2, 'group_order': 94950, 'label': '30O-7', 'order': 30, 'powers': [194, 65, 35, 375, 374], 'representative': 295, 'size': 211}
  • id: 97995147
    {'aut_label': '30O-1', 'centralizer': '211.a1', 'counter': 375, 'group_counter': 2, 'group_order': 94950, 'label': '30O11', 'order': 30, 'powers': [192, 63, 35, 378, 375], 'representative': 115, 'size': 211}
  • id: 97995148
    {'aut_label': '30O1', 'centralizer': '211.a1', 'counter': 376, 'group_counter': 2, 'group_order': 94950, 'label': '30O-11', 'order': 30, 'powers': [191, 64, 36, 377, 376], 'representative': 365, 'size': 211}
  • id: 97995149
    {'aut_label': '30O1', 'centralizer': '211.a1', 'counter': 377, 'group_counter': 2, 'group_order': 94950, 'label': '30O13', 'order': 30, 'powers': [190, 65, 36, 371, 377], 'representative': 275, 'size': 211}
  • id: 97995150
    {'aut_label': '30O-1', 'centralizer': '211.a1', 'counter': 378, 'group_counter': 2, 'group_order': 94950, 'label': '30O-13', 'order': 30, 'powers': [189, 66, 35, 372, 378], 'representative': 205, 'size': 211}
  • id: 97995151
    {'aut_label': '30O1', 'centralizer': '211.a1', 'counter': 379, 'group_counter': 2, 'group_order': 94950, 'label': '30P1', 'order': 30, 'powers': [195, 66, 40, 381, 379], 'representative': 35, 'size': 211}
  • id: 97995153
    {'aut_label': '30O-1', 'centralizer': '211.a1', 'counter': 380, 'group_counter': 2, 'group_order': 94950, 'label': '30P-1', 'order': 30, 'powers': [196, 65, 39, 382, 380], 'representative': 445, 'size': 211}
  • id: 97995154
    {'aut_label': '30O1', 'centralizer': '211.a1', 'counter': 381, 'group_counter': 2, 'group_order': 94950, 'label': '30P7', 'order': 30, 'powers': [201, 64, 40, 384, 381], 'representative': 215, 'size': 211}
  • id: 97995155
    {'aut_label': '30O-1', 'centralizer': '211.a1', 'counter': 382, 'group_counter': 2, 'group_order': 94950, 'label': '30P-7', 'order': 30, 'powers': [202, 63, 39, 383, 382], 'representative': 265, 'size': 211}
  • id: 97995156
    {'aut_label': '30O-1', 'centralizer': '211.a1', 'counter': 383, 'group_counter': 2, 'group_order': 94950, 'label': '30P11', 'order': 30, 'powers': [200, 66, 39, 386, 383], 'representative': 355, 'size': 211}
  • id: 97995157
    {'aut_label': '30O1', 'centralizer': '211.a1', 'counter': 384, 'group_counter': 2, 'group_order': 94950, 'label': '30P-11', 'order': 30, 'powers': [199, 65, 40, 385, 384], 'representative': 125, 'size': 211}
  • id: 97995158
    {'aut_label': '30O1', 'centralizer': '211.a1', 'counter': 385, 'group_counter': 2, 'group_order': 94950, 'label': '30P13', 'order': 30, 'powers': [198, 63, 40, 379, 385], 'representative': 395, 'size': 211}
  • id: 97995159
    {'aut_label': '30O-1', 'centralizer': '211.a1', 'counter': 386, 'group_counter': 2, 'group_order': 94950, 'label': '30P-13', 'order': 30, 'powers': [197, 64, 39, 380, 386], 'representative': 85, 'size': 211}
  • id: 97995160
    {'aut_label': '30A1', 'centralizer': '211.a1', 'counter': 387, 'group_counter': 2, 'group_order': 94950, 'label': '30Q1', 'order': 30, 'powers': [203, 43, 37, 389, 387], 'representative': 301, 'size': 211}
  • id: 97995161
    {'aut_label': '30A-1', 'centralizer': '211.a1', 'counter': 388, 'group_counter': 2, 'group_order': 94950, 'label': '30Q-1', 'order': 30, 'powers': [204, 44, 38, 390, 388], 'representative': 179, 'size': 211}
  • id: 97995162
    {'aut_label': '30A7', 'centralizer': '211.a1', 'counter': 389, 'group_counter': 2, 'group_order': 94950, 'label': '30Q7', 'order': 30, 'powers': [209, 46, 37, 392, 389], 'representative': 307, 'size': 211}
  • id: 97995164
    {'aut_label': '30A-7', 'centralizer': '211.a1', 'counter': 390, 'group_counter': 2, 'group_order': 94950, 'label': '30Q-7', 'order': 30, 'powers': [210, 45, 38, 391, 390], 'representative': 173, 'size': 211}
  • id: 97995165
    {'aut_label': '30A11', 'centralizer': '211.a1', 'counter': 391, 'group_counter': 2, 'group_order': 94950, 'label': '30Q11', 'order': 30, 'powers': [208, 43, 38, 394, 391], 'representative': 161, 'size': 211}
  • id: 97995166
    {'aut_label': '30A-11', 'centralizer': '211.a1', 'counter': 392, 'group_counter': 2, 'group_order': 94950, 'label': '30Q-11', 'order': 30, 'powers': [207, 44, 37, 393, 392], 'representative': 319, 'size': 211}
  • id: 97995167
    {'aut_label': '30A13', 'centralizer': '211.a1', 'counter': 393, 'group_counter': 2, 'group_order': 94950, 'label': '30Q13', 'order': 30, 'powers': [206, 45, 37, 387, 393], 'representative': 313, 'size': 211}
  • id: 97995168
    {'aut_label': '30A-13', 'centralizer': '211.a1', 'counter': 394, 'group_counter': 2, 'group_order': 94950, 'label': '30Q-13', 'order': 30, 'powers': [205, 46, 38, 388, 394], 'representative': 167, 'size': 211}
  • id: 97995169
    {'aut_label': '30A1', 'centralizer': '211.a1', 'counter': 395, 'group_counter': 2, 'group_order': 94950, 'label': '30R1', 'order': 30, 'powers': [211, 47, 39, 397, 395], 'representative': 241, 'size': 211}
  • id: 97995170
    {'aut_label': '30A-1', 'centralizer': '211.a1', 'counter': 396, 'group_counter': 2, 'group_order': 94950, 'label': '30R-1', 'order': 30, 'powers': [212, 48, 40, 398, 396], 'representative': 239, 'size': 211}
  • id: 97995171
    {'aut_label': '30A7', 'centralizer': '211.a1', 'counter': 397, 'group_counter': 2, 'group_order': 94950, 'label': '30R7', 'order': 30, 'powers': [217, 50, 39, 400, 397], 'representative': 337, 'size': 211}
  • id: 97995172
    {'aut_label': '30A-7', 'centralizer': '211.a1', 'counter': 398, 'group_counter': 2, 'group_order': 94950, 'label': '30R-7', 'order': 30, 'powers': [218, 49, 40, 399, 398], 'representative': 143, 'size': 211}
  • id: 97995173
    {'aut_label': '30A11', 'centralizer': '211.a1', 'counter': 399, 'group_counter': 2, 'group_order': 94950, 'label': '30R11', 'order': 30, 'powers': [216, 47, 40, 402, 399], 'representative': 401, 'size': 211}
  • id: 97995176
    {'aut_label': '30A-11', 'centralizer': '211.a1', 'counter': 400, 'group_counter': 2, 'group_order': 94950, 'label': '30R-11', 'order': 30, 'powers': [215, 48, 39, 401, 400], 'representative': 79, 'size': 211}
  • id: 97995177
    {'aut_label': '30A13', 'centralizer': '211.a1', 'counter': 401, 'group_counter': 2, 'group_order': 94950, 'label': '30R13', 'order': 30, 'powers': [214, 49, 39, 395, 401], 'representative': 433, 'size': 211}
  • id: 97995178
    {'aut_label': '30A-13', 'centralizer': '211.a1', 'counter': 402, 'group_counter': 2, 'group_order': 94950, 'label': '30R-13', 'order': 30, 'powers': [213, 50, 40, 396, 402], 'representative': 47, 'size': 211}
  • id: 97995179
    {'aut_label': '30A13', 'centralizer': '211.a1', 'counter': 403, 'group_counter': 2, 'group_order': 94950, 'label': '30S1', 'order': 30, 'powers': [219, 61, 39, 405, 403], 'representative': 73, 'size': 211}
  • id: 97995180
    {'aut_label': '30A-13', 'centralizer': '211.a1', 'counter': 404, 'group_counter': 2, 'group_order': 94950, 'label': '30S-1', 'order': 30, 'powers': [220, 62, 40, 406, 404], 'representative': 407, 'size': 211}
  • id: 97995181
    {'aut_label': '30A1', 'centralizer': '211.a1', 'counter': 405, 'group_counter': 2, 'group_order': 94950, 'label': '30S7', 'order': 30, 'powers': [225, 59, 39, 408, 405], 'representative': 421, 'size': 211}
  • id: 97995182
    {'aut_label': '30A-1', 'centralizer': '211.a1', 'counter': 406, 'group_counter': 2, 'group_order': 94950, 'label': '30S-7', 'order': 30, 'powers': [226, 60, 40, 407, 406], 'representative': 59, 'size': 211}
  • id: 97995183
    {'aut_label': '30A-7', 'centralizer': '211.a1', 'counter': 407, 'group_counter': 2, 'group_order': 94950, 'label': '30S11', 'order': 30, 'powers': [224, 61, 40, 410, 407], 'representative': 233, 'size': 211}
  • id: 97995184
    {'aut_label': '30A7', 'centralizer': '211.a1', 'counter': 408, 'group_counter': 2, 'group_order': 94950, 'label': '30S-11', 'order': 30, 'powers': [223, 62, 39, 409, 408], 'representative': 247, 'size': 211}
  • id: 97995185
    {'aut_label': '30A-11', 'centralizer': '211.a1', 'counter': 409, 'group_counter': 2, 'group_order': 94950, 'label': '30S13', 'order': 30, 'powers': [222, 60, 39, 403, 409], 'representative': 349, 'size': 211}
  • id: 97995187
    {'aut_label': '30A11', 'centralizer': '211.a1', 'counter': 410, 'group_counter': 2, 'group_order': 94950, 'label': '30S-13', 'order': 30, 'powers': [221, 59, 40, 404, 410], 'representative': 131, 'size': 211}
  • id: 97995188
    {'aut_label': '30O1', 'centralizer': '211.a1', 'counter': 411, 'group_counter': 2, 'group_order': 94950, 'label': '30T1', 'order': 30, 'powers': [227, 64, 38, 413, 411], 'representative': 65, 'size': 211}
  • id: 97995189
    {'aut_label': '30O-1', 'centralizer': '211.a1', 'counter': 412, 'group_counter': 2, 'group_order': 94950, 'label': '30T-1', 'order': 30, 'powers': [228, 63, 37, 414, 412], 'representative': 415, 'size': 211}
  • id: 97995190
    {'aut_label': '30O1', 'centralizer': '211.a1', 'counter': 413, 'group_counter': 2, 'group_order': 94950, 'label': '30T7', 'order': 30, 'powers': [233, 65, 38, 416, 413], 'representative': 425, 'size': 211}
  • id: 97995191
    {'aut_label': '30O-1', 'centralizer': '211.a1', 'counter': 414, 'group_counter': 2, 'group_order': 94950, 'label': '30T-7', 'order': 30, 'powers': [234, 66, 37, 415, 414], 'representative': 55, 'size': 211}
  • id: 97995192
    {'aut_label': '30O-1', 'centralizer': '211.a1', 'counter': 415, 'group_counter': 2, 'group_order': 94950, 'label': '30T11', 'order': 30, 'powers': [232, 64, 37, 418, 415], 'representative': 235, 'size': 211}
  • id: 97995193
    {'aut_label': '30O1', 'centralizer': '211.a1', 'counter': 416, 'group_counter': 2, 'group_order': 94950, 'label': '30T-11', 'order': 30, 'powers': [231, 63, 38, 417, 416], 'representative': 245, 'size': 211}
  • id: 97995194
    {'aut_label': '30O1', 'centralizer': '211.a1', 'counter': 417, 'group_counter': 2, 'group_order': 94950, 'label': '30T13', 'order': 30, 'powers': [230, 66, 38, 411, 417], 'representative': 335, 'size': 211}
  • id: 97995195
    {'aut_label': '30O-1', 'centralizer': '211.a1', 'counter': 418, 'group_counter': 2, 'group_order': 94950, 'label': '30T-13', 'order': 30, 'powers': [229, 65, 37, 412, 418], 'representative': 145, 'size': 211}
  • id: 97995196
    {'aut_label': '30J1', 'centralizer': '211.a1', 'counter': 419, 'group_counter': 2, 'group_order': 94950, 'label': '30U1', 'order': 30, 'powers': [235, 49, 41, 421, 419], 'representative': 123, 'size': 211}
  • id: 97995198
    {'aut_label': '30J-1', 'centralizer': '211.a1', 'counter': 420, 'group_counter': 2, 'group_order': 94950, 'label': '30U-1', 'order': 30, 'powers': [236, 50, 42, 422, 420], 'representative': 357, 'size': 211}
  • id: 97995199
    {'aut_label': '30J7', 'centralizer': '211.a1', 'counter': 421, 'group_counter': 2, 'group_order': 94950, 'label': '30U7', 'order': 30, 'powers': [241, 47, 41, 424, 421], 'representative': 411, 'size': 211}
  • id: 97995200
    {'aut_label': '30J-7', 'centralizer': '211.a1', 'counter': 422, 'group_counter': 2, 'group_order': 94950, 'label': '30U-7', 'order': 30, 'powers': [242, 48, 42, 423, 422], 'representative': 69, 'size': 211}
  • id: 97995201
    {'aut_label': '30J1', 'centralizer': '211.a1', 'counter': 423, 'group_counter': 2, 'group_order': 94950, 'label': '30U11', 'order': 30, 'powers': [240, 49, 42, 426, 423], 'representative': 423, 'size': 211}
  • id: 97995202
    {'aut_label': '30J-1', 'centralizer': '211.a1', 'counter': 424, 'group_counter': 2, 'group_order': 94950, 'label': '30U-11', 'order': 30, 'powers': [239, 50, 41, 425, 424], 'representative': 57, 'size': 211}
  • id: 97995203
    {'aut_label': '30J-7', 'centralizer': '211.a1', 'counter': 425, 'group_counter': 2, 'group_order': 94950, 'label': '30U13', 'order': 30, 'powers': [238, 48, 41, 419, 425], 'representative': 219, 'size': 211}
  • id: 97995204
    {'aut_label': '30J7', 'centralizer': '211.a1', 'counter': 426, 'group_counter': 2, 'group_order': 94950, 'label': '30U-13', 'order': 30, 'powers': [237, 47, 42, 420, 426], 'representative': 261, 'size': 211}
  • id: 97995205
    {'aut_label': '30J1', 'centralizer': '211.a1', 'counter': 427, 'group_counter': 2, 'group_order': 94950, 'label': '30V1', 'order': 30, 'powers': [243, 45, 42, 429, 427], 'representative': 153, 'size': 211}
  • id: 97995206
    {'aut_label': '30J-1', 'centralizer': '211.a1', 'counter': 428, 'group_counter': 2, 'group_order': 94950, 'label': '30V-1', 'order': 30, 'powers': [244, 46, 41, 430, 428], 'representative': 327, 'size': 211}
  • id: 97995207
    {'aut_label': '30J7', 'centralizer': '211.a1', 'counter': 429, 'group_counter': 2, 'group_order': 94950, 'label': '30V7', 'order': 30, 'powers': [249, 43, 42, 432, 429], 'representative': 171, 'size': 211}
  • id: 97995209
    {'aut_label': '30J-7', 'centralizer': '211.a1', 'counter': 430, 'group_counter': 2, 'group_order': 94950, 'label': '30V-7', 'order': 30, 'powers': [250, 44, 41, 431, 430], 'representative': 309, 'size': 211}
  • id: 97995210
    {'aut_label': '30J1', 'centralizer': '211.a1', 'counter': 431, 'group_counter': 2, 'group_order': 94950, 'label': '30V11', 'order': 30, 'powers': [248, 45, 41, 434, 431], 'representative': 303, 'size': 211}
  • id: 97995211
    {'aut_label': '30J-1', 'centralizer': '211.a1', 'counter': 432, 'group_counter': 2, 'group_order': 94950, 'label': '30V-11', 'order': 30, 'powers': [247, 46, 42, 433, 432], 'representative': 177, 'size': 211}
  • id: 97995212
    {'aut_label': '30J-7', 'centralizer': '211.a1', 'counter': 433, 'group_counter': 2, 'group_order': 94950, 'label': '30V13', 'order': 30, 'powers': [246, 44, 42, 427, 433], 'representative': 159, 'size': 211}
  • id: 97995213
    {'aut_label': '30J7', 'centralizer': '211.a1', 'counter': 434, 'group_counter': 2, 'group_order': 94950, 'label': '30V-13', 'order': 30, 'powers': [245, 43, 41, 428, 434], 'representative': 321, 'size': 211}
  • id: 97995214
    {'aut_label': '30W1', 'centralizer': '211.a1', 'counter': 435, 'group_counter': 2, 'group_order': 94950, 'label': '30W1', 'order': 30, 'powers': [67, 66, 41, 437, 435], 'representative': 45, 'size': 211}
  • id: 97995215
    {'aut_label': '30W1', 'centralizer': '211.a1', 'counter': 436, 'group_counter': 2, 'group_order': 94950, 'label': '30W-1', 'order': 30, 'powers': [68, 65, 42, 438, 436], 'representative': 435, 'size': 211}
  • id: 97995216
    {'aut_label': '30W1', 'centralizer': '211.a1', 'counter': 437, 'group_counter': 2, 'group_order': 94950, 'label': '30W7', 'order': 30, 'powers': [73, 64, 41, 440, 437], 'representative': 225, 'size': 211}
  • id: 97995217
    {'aut_label': '30W1', 'centralizer': '211.a1', 'counter': 438, 'group_counter': 2, 'group_order': 94950, 'label': '30W-7', 'order': 30, 'powers': [74, 63, 42, 439, 438], 'representative': 255, 'size': 211}
  • id: 97995218
    {'aut_label': '30W1', 'centralizer': '211.a1', 'counter': 439, 'group_counter': 2, 'group_order': 94950, 'label': '30W11', 'order': 30, 'powers': [72, 66, 42, 442, 439], 'representative': 345, 'size': 211}
  • id: 97995220
    {'aut_label': '30W1', 'centralizer': '211.a1', 'counter': 440, 'group_counter': 2, 'group_order': 94950, 'label': '30W-11', 'order': 30, 'powers': [71, 65, 41, 441, 440], 'representative': 135, 'size': 211}
  • id: 97995221
    {'aut_label': '30W1', 'centralizer': '211.a1', 'counter': 441, 'group_counter': 2, 'group_order': 94950, 'label': '30W13', 'order': 30, 'powers': [70, 63, 41, 435, 441], 'representative': 405, 'size': 211}
  • id: 97995222
    {'aut_label': '30W1', 'centralizer': '211.a1', 'counter': 442, 'group_counter': 2, 'group_order': 94950, 'label': '30W-13', 'order': 30, 'powers': [69, 64, 42, 436, 442], 'representative': 75, 'size': 211}
  • id: 97995223
    {'aut_label': '30J1', 'centralizer': '211.a1', 'counter': 443, 'group_counter': 2, 'group_order': 94950, 'label': '30X1', 'order': 30, 'powers': [251, 53, 42, 445, 443], 'representative': 243, 'size': 211}
  • id: 97995224
    {'aut_label': '30J-1', 'centralizer': '211.a1', 'counter': 444, 'group_counter': 2, 'group_order': 94950, 'label': '30X-1', 'order': 30, 'powers': [252, 54, 41, 446, 444], 'representative': 237, 'size': 211}
  • id: 97995225
    {'aut_label': '30J7', 'centralizer': '211.a1', 'counter': 445, 'group_counter': 2, 'group_order': 94950, 'label': '30X7', 'order': 30, 'powers': [257, 51, 42, 448, 445], 'representative': 351, 'size': 211}
  • id: 97995226
    {'aut_label': '30J-7', 'centralizer': '211.a1', 'counter': 446, 'group_counter': 2, 'group_order': 94950, 'label': '30X-7', 'order': 30, 'powers': [258, 52, 41, 447, 446], 'representative': 129, 'size': 211}
  • id: 97995227
    {'aut_label': '30J1', 'centralizer': '211.a1', 'counter': 447, 'group_counter': 2, 'group_order': 94950, 'label': '30X11', 'order': 30, 'powers': [256, 53, 41, 450, 447], 'representative': 393, 'size': 211}
  • id: 97995228
    {'aut_label': '30J-1', 'centralizer': '211.a1', 'counter': 448, 'group_counter': 2, 'group_order': 94950, 'label': '30X-11', 'order': 30, 'powers': [255, 54, 42, 449, 448], 'representative': 87, 'size': 211}
  • id: 97995229
    {'aut_label': '30J-7', 'centralizer': '211.a1', 'counter': 449, 'group_counter': 2, 'group_order': 94950, 'label': '30X13', 'order': 30, 'powers': [254, 52, 42, 443, 449], 'representative': 429, 'size': 211}
  • id: 97995231
    {'aut_label': '30J7', 'centralizer': '211.a1', 'counter': 450, 'group_counter': 2, 'group_order': 94950, 'label': '30X-13', 'order': 30, 'powers': [253, 51, 41, 444, 450], 'representative': 51, 'size': 211}
  • id: 97995232
    {'aut_label': '211A1', 'centralizer': '30.a1', 'counter': 451, 'group_counter': 2, 'group_order': 94950, 'label': '211A1', 'order': 211, 'powers': [452, 452, 454, 454, 1], 'representative': 450, 'size': 30}
  • id: 97995233
    {'aut_label': '211A1', 'centralizer': '30.a1', 'counter': 452, 'group_counter': 2, 'group_order': 94950, 'label': '211A2', 'order': 211, 'powers': [453, 453, 451, 451, 1], 'representative': 900, 'size': 30}
  • id: 97995234
    {'aut_label': '211A1', 'centralizer': '30.a1', 'counter': 453, 'group_counter': 2, 'group_order': 94950, 'label': '211A4', 'order': 211, 'powers': [455, 455, 452, 452, 1], 'representative': 1800, 'size': 30}
  • id: 97995235
    {'aut_label': '211A1', 'centralizer': '30.a1', 'counter': 454, 'group_counter': 2, 'group_order': 94950, 'label': '211A5', 'order': 211, 'powers': [451, 451, 457, 457, 1], 'representative': 2250, 'size': 30}
  • id: 97995236
    {'aut_label': '211A1', 'centralizer': '30.a1', 'counter': 455, 'group_counter': 2, 'group_order': 94950, 'label': '211A8', 'order': 211, 'powers': [456, 456, 453, 453, 1], 'representative': 3600, 'size': 30}
  • id: 97995237
    {'aut_label': '211A1', 'centralizer': '30.a1', 'counter': 456, 'group_counter': 2, 'group_order': 94950, 'label': '211A13', 'order': 211, 'powers': [457, 457, 455, 455, 1], 'representative': 5850, 'size': 30}
  • id: 97995238
    {'aut_label': '211A1', 'centralizer': '30.a1', 'counter': 457, 'group_counter': 2, 'group_order': 94950, 'label': '211A25', 'order': 211, 'powers': [454, 454, 456, 456, 1], 'representative': 11250, 'size': 30}
  • id: 97995239
    {'aut_label': '633A1', 'centralizer': '30.a1', 'counter': 458, 'group_counter': 2, 'group_order': 94950, 'label': '633A1', 'order': 633, 'powers': [460, 451, 464, 465, 4], 'representative': 150, 'size': 30}
  • id: 97995240
    {'aut_label': '633A1', 'centralizer': '30.a1', 'counter': 459, 'group_counter': 2, 'group_order': 94950, 'label': '633A-1', 'order': 633, 'powers': [461, 451, 465, 464, 3], 'representative': 94800, 'size': 30}
  • id: 97995242
    {'aut_label': '633A1', 'centralizer': '30.a1', 'counter': 460, 'group_counter': 2, 'group_order': 94950, 'label': '633A2', 'order': 633, 'powers': [462, 452, 458, 459, 3], 'representative': 300, 'size': 30}
  • id: 97995243
    {'aut_label': '633A1', 'centralizer': '30.a1', 'counter': 461, 'group_counter': 2, 'group_order': 94950, 'label': '633A-2', 'order': 633, 'powers': [463, 452, 459, 458, 4], 'representative': 94650, 'size': 30}
  • id: 97995244
    {'aut_label': '633A1', 'centralizer': '30.a1', 'counter': 462, 'group_counter': 2, 'group_order': 94950, 'label': '633A4', 'order': 633, 'powers': [466, 453, 460, 461, 4], 'representative': 600, 'size': 30}
  • id: 97995245
    {'aut_label': '633A1', 'centralizer': '30.a1', 'counter': 463, 'group_counter': 2, 'group_order': 94950, 'label': '633A-4', 'order': 633, 'powers': [467, 453, 461, 460, 3], 'representative': 94350, 'size': 30}
  • id: 97995246
    {'aut_label': '633A1', 'centralizer': '30.a1', 'counter': 464, 'group_counter': 2, 'group_order': 94950, 'label': '633A5', 'order': 633, 'powers': [458, 454, 470, 471, 3], 'representative': 750, 'size': 30}
  • id: 97995247
    {'aut_label': '633A1', 'centralizer': '30.a1', 'counter': 465, 'group_counter': 2, 'group_order': 94950, 'label': '633A-5', 'order': 633, 'powers': [459, 454, 471, 470, 4], 'representative': 94200, 'size': 30}
  • id: 97995248
    {'aut_label': '633A1', 'centralizer': '30.a1', 'counter': 466, 'group_counter': 2, 'group_order': 94950, 'label': '633A8', 'order': 633, 'powers': [468, 455, 462, 463, 3], 'representative': 1200, 'size': 30}
  • id: 97995249
    {'aut_label': '633A1', 'centralizer': '30.a1', 'counter': 467, 'group_counter': 2, 'group_order': 94950, 'label': '633A-8', 'order': 633, 'powers': [469, 455, 463, 462, 4], 'representative': 93750, 'size': 30}
  • id: 97995250
    {'aut_label': '633A1', 'centralizer': '30.a1', 'counter': 468, 'group_counter': 2, 'group_order': 94950, 'label': '633A13', 'order': 633, 'powers': [471, 456, 466, 467, 4], 'representative': 1950, 'size': 30}
  • id: 97995251
    {'aut_label': '633A1', 'centralizer': '30.a1', 'counter': 469, 'group_counter': 2, 'group_order': 94950, 'label': '633A-13', 'order': 633, 'powers': [470, 456, 467, 466, 3], 'representative': 93000, 'size': 30}
  • id: 97995253
    {'aut_label': '633A1', 'centralizer': '30.a1', 'counter': 470, 'group_counter': 2, 'group_order': 94950, 'label': '633A25', 'order': 633, 'powers': [464, 457, 469, 468, 4], 'representative': 3750, 'size': 30}
  • id: 97995254
    {'aut_label': '633A1', 'centralizer': '30.a1', 'counter': 471, 'group_counter': 2, 'group_order': 94950, 'label': '633A-25', 'order': 633, 'powers': [465, 457, 468, 469, 3], 'representative': 91200, 'size': 30}
  • id: 97995255
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 472, 'group_counter': 2, 'group_order': 94950, 'label': '1055A1', 'order': 1055, 'powers': [474, 475, 451, 478, 11], 'representative': 90, 'size': 30}
  • id: 97995256
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 473, 'group_counter': 2, 'group_order': 94950, 'label': '1055A-1', 'order': 1055, 'powers': [475, 474, 451, 479, 12], 'representative': 94860, 'size': 30}
  • id: 97995257
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 474, 'group_counter': 2, 'group_order': 94950, 'label': '1055A2', 'order': 1055, 'powers': [476, 477, 452, 473, 13], 'representative': 180, 'size': 30}
  • id: 97995258
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 475, 'group_counter': 2, 'group_order': 94950, 'label': '1055A-2', 'order': 1055, 'powers': [477, 476, 452, 472, 14], 'representative': 94770, 'size': 30}
  • id: 97995259
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 476, 'group_counter': 2, 'group_order': 94950, 'label': '1055A4', 'order': 1055, 'powers': [480, 481, 453, 475, 12], 'representative': 360, 'size': 30}
  • id: 97995260
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 477, 'group_counter': 2, 'group_order': 94950, 'label': '1055A-4', 'order': 1055, 'powers': [481, 480, 453, 474, 11], 'representative': 94590, 'size': 30}
  • id: 97995261
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 478, 'group_counter': 2, 'group_order': 94950, 'label': '1055A7', 'order': 1055, 'powers': [473, 472, 454, 493, 13], 'representative': 630, 'size': 30}
  • id: 97995262
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 479, 'group_counter': 2, 'group_order': 94950, 'label': '1055A-7', 'order': 1055, 'powers': [472, 473, 454, 492, 14], 'representative': 94320, 'size': 30}
  • id: 97995264
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 480, 'group_counter': 2, 'group_order': 94950, 'label': '1055A8', 'order': 1055, 'powers': [486, 487, 455, 477, 14], 'representative': 720, 'size': 30}
  • id: 97995265
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 481, 'group_counter': 2, 'group_order': 94950, 'label': '1055A-8', 'order': 1055, 'powers': [487, 486, 455, 476, 13], 'representative': 94230, 'size': 30}
  • id: 97995266
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 482, 'group_counter': 2, 'group_order': 94950, 'label': '1055A11', 'order': 1055, 'powers': [488, 489, 452, 491, 11], 'representative': 990, 'size': 30}
  • id: 97995267
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 483, 'group_counter': 2, 'group_order': 94950, 'label': '1055A-11', 'order': 1055, 'powers': [489, 488, 452, 490, 12], 'representative': 93960, 'size': 30}
  • id: 97995268
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 484, 'group_counter': 2, 'group_order': 94950, 'label': '1055A13', 'order': 1055, 'powers': [492, 493, 456, 494, 14], 'representative': 1170, 'size': 30}
  • id: 97995269
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 485, 'group_counter': 2, 'group_order': 94950, 'label': '1055A-13', 'order': 1055, 'powers': [493, 492, 456, 495, 13], 'representative': 93780, 'size': 30}
  • id: 97995270
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 486, 'group_counter': 2, 'group_order': 94950, 'label': '1055A16', 'order': 1055, 'powers': [496, 497, 456, 481, 11], 'representative': 1440, 'size': 30}
  • id: 97995271
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 487, 'group_counter': 2, 'group_order': 94950, 'label': '1055A-16', 'order': 1055, 'powers': [497, 496, 456, 480, 12], 'representative': 93510, 'size': 30}
  • id: 97995272
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 488, 'group_counter': 2, 'group_order': 94950, 'label': '1055A22', 'order': 1055, 'powers': [495, 494, 453, 483, 13], 'representative': 1980, 'size': 30}
  • id: 97995273
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 489, 'group_counter': 2, 'group_order': 94950, 'label': '1055A-22', 'order': 1055, 'powers': [494, 495, 453, 482, 14], 'representative': 92970, 'size': 30}
  • id: 97995275
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 490, 'group_counter': 2, 'group_order': 94950, 'label': '1055A23', 'order': 1055, 'powers': [482, 483, 451, 499, 14], 'representative': 2070, 'size': 30}
  • id: 97995276
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 491, 'group_counter': 2, 'group_order': 94950, 'label': '1055A-23', 'order': 1055, 'powers': [483, 482, 451, 498, 13], 'representative': 92880, 'size': 30}
  • id: 97995277
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 492, 'group_counter': 2, 'group_order': 94950, 'label': '1055A26', 'order': 1055, 'powers': [478, 479, 457, 485, 11], 'representative': 2340, 'size': 30}
  • id: 97995278
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 493, 'group_counter': 2, 'group_order': 94950, 'label': '1055A-26', 'order': 1055, 'powers': [479, 478, 457, 484, 12], 'representative': 92610, 'size': 30}
  • id: 97995279
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 494, 'group_counter': 2, 'group_order': 94950, 'label': '1055A31', 'order': 1055, 'powers': [485, 484, 455, 488, 11], 'representative': 2790, 'size': 30}
  • id: 97995280
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 495, 'group_counter': 2, 'group_order': 94950, 'label': '1055A-31', 'order': 1055, 'powers': [484, 485, 455, 489, 12], 'representative': 92160, 'size': 30}
  • id: 97995281
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 496, 'group_counter': 2, 'group_order': 94950, 'label': '1055A32', 'order': 1055, 'powers': [498, 499, 457, 487, 13], 'representative': 2880, 'size': 30}
  • id: 97995282
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 497, 'group_counter': 2, 'group_order': 94950, 'label': '1055A-32', 'order': 1055, 'powers': [499, 498, 457, 486, 14], 'representative': 92070, 'size': 30}
  • id: 97995283
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 498, 'group_counter': 2, 'group_order': 94950, 'label': '1055A64', 'order': 1055, 'powers': [490, 491, 454, 497, 12], 'representative': 5760, 'size': 30}
  • id: 97995284
    {'aut_label': '1055A1', 'centralizer': '30.a1', 'counter': 499, 'group_counter': 2, 'group_order': 94950, 'label': '1055A-64', 'order': 1055, 'powers': [491, 490, 454, 496, 11], 'representative': 89190, 'size': 30}
  • id: 97995287
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 500, 'group_counter': 2, 'group_order': 94950, 'label': '3165A1', 'order': 3165, 'powers': [502, 472, 458, 506, 74], 'representative': 30, 'size': 30}
  • id: 97995288
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 501, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-1', 'order': 3165, 'powers': [503, 473, 459, 507, 73], 'representative': 420, 'size': 30}
  • id: 97995289
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 502, 'group_counter': 2, 'group_order': 94950, 'label': '3165A2', 'order': 3165, 'powers': [504, 474, 460, 501, 67], 'representative': 60, 'size': 30}
  • id: 97995290
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 503, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-2', 'order': 3165, 'powers': [505, 475, 461, 500, 68], 'representative': 840, 'size': 30}
  • id: 97995291
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 504, 'group_counter': 2, 'group_order': 94950, 'label': '3165A4', 'order': 3165, 'powers': [508, 476, 462, 503, 69], 'representative': 120, 'size': 30}
  • id: 97995292
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 505, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-4', 'order': 3165, 'powers': [509, 477, 463, 502, 70], 'representative': 1680, 'size': 30}
  • id: 97995293
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 506, 'group_counter': 2, 'group_order': 94950, 'label': '3165A7', 'order': 3165, 'powers': [501, 478, 465, 525, 72], 'representative': 210, 'size': 30}
  • id: 97995294
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 507, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-7', 'order': 3165, 'powers': [500, 479, 464, 524, 71], 'representative': 2940, 'size': 30}
  • id: 97995295
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 508, 'group_counter': 2, 'group_order': 94950, 'label': '3165A8', 'order': 3165, 'powers': [514, 480, 466, 505, 71], 'representative': 240, 'size': 30}
  • id: 97995296
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 509, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-8', 'order': 3165, 'powers': [515, 481, 467, 504, 72], 'representative': 3360, 'size': 30}
  • id: 97995298
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 510, 'group_counter': 2, 'group_order': 94950, 'label': '3165A11', 'order': 3165, 'powers': [520, 482, 460, 546, 70], 'representative': 330, 'size': 30}
  • id: 97995299
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 511, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-11', 'order': 3165, 'powers': [521, 483, 461, 547, 69], 'representative': 4620, 'size': 30}
  • id: 97995300
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 512, 'group_counter': 2, 'group_order': 94950, 'label': '3165A13', 'order': 3165, 'powers': [524, 484, 468, 526, 68], 'representative': 390, 'size': 30}
  • id: 97995301
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 513, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-13', 'order': 3165, 'powers': [525, 485, 469, 527, 67], 'representative': 1860, 'size': 30}
  • id: 97995302
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 514, 'group_counter': 2, 'group_order': 94950, 'label': '3165A16', 'order': 3165, 'powers': [528, 486, 468, 509, 74], 'representative': 480, 'size': 30}
  • id: 97995303
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 515, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-16', 'order': 3165, 'powers': [529, 487, 469, 508, 73], 'representative': 870, 'size': 30}
  • id: 97995304
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 516, 'group_counter': 2, 'group_order': 94950, 'label': '3165A17', 'order': 3165, 'powers': [530, 481, 466, 545, 67], 'representative': 510, 'size': 30}
  • id: 97995305
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 517, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-17', 'order': 3165, 'powers': [531, 480, 467, 544, 68], 'representative': 1290, 'size': 30}
  • id: 97995306
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 518, 'group_counter': 2, 'group_order': 94950, 'label': '3165A19', 'order': 3165, 'powers': [532, 473, 458, 552, 69], 'representative': 570, 'size': 30}
  • id: 97995307
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 519, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-19', 'order': 3165, 'powers': [533, 472, 459, 553, 70], 'representative': 2130, 'size': 30}
  • id: 97995309
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 520, 'group_counter': 2, 'group_order': 94950, 'label': '3165A22', 'order': 3165, 'powers': [527, 488, 462, 511, 72], 'representative': 660, 'size': 30}
  • id: 97995310
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 521, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-22', 'order': 3165, 'powers': [526, 489, 463, 510, 71], 'representative': 6990, 'size': 30}
  • id: 97995311
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 522, 'group_counter': 2, 'group_order': 94950, 'label': '3165A23', 'order': 3165, 'powers': [536, 490, 459, 541, 71], 'representative': 690, 'size': 30}
  • id: 97995312
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 523, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-23', 'order': 3165, 'powers': [537, 491, 458, 540, 72], 'representative': 6960, 'size': 30}
  • id: 97995313
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 524, 'group_counter': 2, 'group_order': 94950, 'label': '3165A26', 'order': 3165, 'powers': [506, 492, 471, 513, 70], 'representative': 780, 'size': 30}
  • id: 97995314
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 525, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-26', 'order': 3165, 'powers': [507, 493, 470, 512, 69], 'representative': 1470, 'size': 30}
  • id: 97995315
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 526, 'group_counter': 2, 'group_order': 94950, 'label': '3165A31', 'order': 3165, 'powers': [513, 494, 467, 520, 74], 'representative': 930, 'size': 30}
  • id: 97995316
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 527, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-31', 'order': 3165, 'powers': [512, 495, 466, 521, 73], 'representative': 1320, 'size': 30}
  • id: 97995317
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 528, 'group_counter': 2, 'group_order': 94950, 'label': '3165A32', 'order': 3165, 'powers': [540, 496, 471, 515, 67], 'representative': 960, 'size': 30}
  • id: 97995318
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 529, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-32', 'order': 3165, 'powers': [541, 497, 470, 514, 68], 'representative': 1740, 'size': 30}
  • id: 97995320
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 530, 'group_counter': 2, 'group_order': 94950, 'label': '3165A34', 'order': 3165, 'powers': [538, 487, 468, 517, 69], 'representative': 1020, 'size': 30}
  • id: 97995321
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 531, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-34', 'order': 3165, 'powers': [539, 486, 469, 516, 70], 'representative': 2580, 'size': 30}
  • id: 97995322
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 532, 'group_counter': 2, 'group_order': 94950, 'label': '3165A38', 'order': 3165, 'powers': [544, 475, 460, 519, 71], 'representative': 1140, 'size': 30}
  • id: 97995323
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 533, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-38', 'order': 3165, 'powers': [545, 474, 461, 518, 72], 'representative': 4260, 'size': 30}
  • id: 97995324
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 534, 'group_counter': 2, 'group_order': 94950, 'label': '3165A41', 'order': 3165, 'powers': [548, 494, 466, 543, 70], 'representative': 1230, 'size': 30}
  • id: 97995325
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 535, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-41', 'order': 3165, 'powers': [549, 495, 467, 542, 69], 'representative': 5520, 'size': 30}
  • id: 97995326
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 536, 'group_counter': 2, 'group_order': 94950, 'label': '3165A46', 'order': 3165, 'powers': [543, 482, 461, 523, 74], 'representative': 1380, 'size': 30}
  • id: 97995327
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 537, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-46', 'order': 3165, 'powers': [542, 483, 460, 522, 73], 'representative': 2670, 'size': 30}
  • id: 97995328
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 538, 'group_counter': 2, 'group_order': 94950, 'label': '3165A53', 'order': 3165, 'powers': [550, 497, 471, 531, 71], 'representative': 1590, 'size': 30}
  • id: 97995329
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 539, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-53', 'order': 3165, 'powers': [551, 496, 470, 530, 72], 'representative': 5160, 'size': 30}
  • id: 97995331
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 540, 'group_counter': 2, 'group_order': 94950, 'label': '3165A64', 'order': 3165, 'powers': [522, 498, 465, 529, 69], 'representative': 1920, 'size': 30}
  • id: 97995332
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 541, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-64', 'order': 3165, 'powers': [523, 499, 464, 528, 70], 'representative': 3480, 'size': 30}
  • id: 97995333
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 542, 'group_counter': 2, 'group_order': 94950, 'label': '3165A73', 'order': 3165, 'powers': [534, 489, 462, 536, 68], 'representative': 2190, 'size': 30}
  • id: 97995334
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 543, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-73', 'order': 3165, 'powers': [535, 488, 463, 537, 67], 'representative': 2760, 'size': 30}
  • id: 97995335
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 544, 'group_counter': 2, 'group_order': 94950, 'label': '3165A76', 'order': 3165, 'powers': [516, 477, 462, 533, 74], 'representative': 2280, 'size': 30}
  • id: 97995336
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 545, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-76', 'order': 3165, 'powers': [517, 476, 463, 532, 73], 'representative': 3570, 'size': 30}
  • id: 97995337
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 546, 'group_counter': 2, 'group_order': 94950, 'label': '3165A77', 'order': 3165, 'powers': [511, 491, 459, 551, 67], 'representative': 2310, 'size': 30}
  • id: 97995338
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 547, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-77', 'order': 3165, 'powers': [510, 490, 458, 550, 68], 'representative': 12090, 'size': 30}
  • id: 97995339
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 548, 'group_counter': 2, 'group_order': 94950, 'label': '3165A82', 'order': 3165, 'powers': [554, 485, 468, 535, 72], 'representative': 2460, 'size': 30}
  • id: 97995340
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 549, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-82', 'order': 3165, 'powers': [555, 484, 469, 534, 71], 'representative': 8790, 'size': 30}
  • id: 97995342
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 550, 'group_counter': 2, 'group_order': 94950, 'label': '3165A106', 'order': 3165, 'powers': [546, 499, 465, 539, 74], 'representative': 3180, 'size': 30}
  • id: 97995343
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 551, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-106', 'order': 3165, 'powers': [547, 498, 464, 538, 73], 'representative': 10320, 'size': 30}
  • id: 97995344
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 552, 'group_counter': 2, 'group_order': 94950, 'label': '3165A133', 'order': 3165, 'powers': [519, 479, 465, 555, 68], 'representative': 3990, 'size': 30}
  • id: 97995345
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 553, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-133', 'order': 3165, 'powers': [518, 478, 464, 554, 67], 'representative': 9510, 'size': 30}
  • id: 97995346
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 554, 'group_counter': 2, 'group_order': 94950, 'label': '3165A164', 'order': 3165, 'powers': [552, 493, 471, 549, 73], 'representative': 4920, 'size': 30}
  • id: 97995347
    {'aut_label': '3165A1', 'centralizer': '30.a1', 'counter': 555, 'group_counter': 2, 'group_order': 94950, 'label': '3165A-164', 'order': 3165, 'powers': [553, 492, 470, 548, 74], 'representative': 17580, 'size': 30}
• group 94950.b does not appear in gps_qchar
• group 94950.b does not appear in gps_char
• gps_subgroup_search •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  ambient	text
  ambient_counter	integer
  ambient_order	numeric
  ambient_tex	text
  central	boolean
  central_factor	boolean
  centralizer_order	numeric
  characteristic	boolean
  core_order	numeric
  counter	integer
  cyclic	boolean
  direct	boolean
  hall	numeric
  label	text
  maximal	boolean
  maximal_normal	boolean
  metabelian	boolean
  metacyclic	boolean
  minimal	boolean
  minimal_normal	boolean
  nilpotent	boolean
  normal	boolean
  old_label	text
  outer_equivalence	boolean
  perfect	boolean
  proper	boolean
  quotient	text
  quotient_Agroup	boolean
  quotient_abelian	boolean
  quotient_cyclic	boolean
  quotient_hash	bigint
  quotient_metabelian	boolean
  quotient_nilpotent	boolean
  quotient_order	numeric
  quotient_simple	boolean
  quotient_solvable	boolean
  quotient_supersolvable	boolean
  quotient_tex	text
  simple	boolean
  solvable	boolean
  special_labels	text[]
  split	boolean
  standard_generators	boolean
  stem	boolean
  subgroup	text
  subgroup_hash	bigint
  subgroup_order	numeric
  subgroup_tex	text
  supersolvable	boolean
  sylow	smallint

  
  
  • id: 20890339
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': True, 'core_order': 94950, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6330, 'label': '94950.b.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0', 'R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '94950.b', 'subgroup_hash': 8017450165717436682, 'subgroup_order': 94950, 'subgroup_tex': 'C_{3165}:C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20890350
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': True, 'core_order': 47475, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 3165, 'label': '94950.b.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1', 'C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '47475.a', 'subgroup_hash': 3492837321841875160, 'subgroup_order': 47475, 'subgroup_tex': 'C_{3165}:C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 20890361
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': True, 'core_order': 31650, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '94950.b.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '31650.d', 'subgroup_hash': 9085781697189027930, 'subgroup_order': 31650, 'subgroup_tex': 'C_{1055}:C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20890372
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': True, 'centralizer_order': 15, 'characteristic': False, 'core_order': 31650, 'counter': 4, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '94950.b.3.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '31650.b', 'subgroup_hash': 5869827615741751670, 'subgroup_order': 31650, 'subgroup_tex': 'C_{1055}:C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20890383
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': True, 'core_order': 18990, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '94950.b.5.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '18990.c', 'subgroup_hash': 5997288477414879701, 'subgroup_order': 18990, 'subgroup_tex': 'C_{3165}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20890394
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': True, 'centralizer_order': 15, 'characteristic': False, 'core_order': 18990, 'counter': 6, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '94950.b.5.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '18990.a', 'subgroup_hash': 8501674034240460093, 'subgroup_order': 18990, 'subgroup_tex': 'C_{633}:C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20890400
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': True, 'core_order': 15825, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '94950.b.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': ['C2', 'C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15825.b', 'subgroup_hash': 10, 'subgroup_order': 15825, 'subgroup_tex': 'C_{1055}:C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 20890401
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': False, 'core_order': 15825, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '94950.b.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15825.a', 'subgroup_hash': 7, 'subgroup_order': 15825, 'subgroup_tex': 'C_{1055}:C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 20890402
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': True, 'core_order': 10550, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 2110, 'label': '94950.b.9.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '9.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '10550.a', 'subgroup_hash': 11, 'subgroup_order': 10550, 'subgroup_tex': 'C_{1055}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20890340
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': True, 'core_order': 9495, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '94950.b.10.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9495.b', 'subgroup_hash': 8, 'subgroup_order': 9495, 'subgroup_tex': 'C_{3165}:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 20890341
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': False, 'core_order': 9495, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '94950.b.10.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9495.a', 'subgroup_hash': 5, 'subgroup_order': 9495, 'subgroup_tex': 'C_{633}:C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 20890342
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': True, 'core_order': 6330, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '94950.b.15.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '15.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '15.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 15, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '6330.e', 'subgroup_hash': 5, 'subgroup_order': 6330, 'subgroup_tex': 'C_{15}\\times D_{211}', 'supersolvable': True, 'sylow': 0}
  • id: 20890343
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': False, 'core_order': 6330, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '94950.b.15.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '15.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '15.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 15, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '6330.f', 'subgroup_hash': 12, 'subgroup_order': 6330, 'subgroup_tex': 'C_{211}:C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20890344
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': False, 'core_order': 6330, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '94950.b.15.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '15.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '15.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 15, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '6330.g', 'subgroup_hash': 15, 'subgroup_order': 6330, 'subgroup_tex': 'C_{1055}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20890345
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': True, 'centralizer_order': 15, 'characteristic': False, 'core_order': 6330, 'counter': 15, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '94950.b.15.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '15.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '15.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 15, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '6330.h', 'subgroup_hash': 18, 'subgroup_order': 6330, 'subgroup_tex': 'C_{211}:C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20890346
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': True, 'core_order': 5275, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 1055, 'label': '94950.b.18.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5275.a', 'subgroup_hash': 3, 'subgroup_order': 5275, 'subgroup_tex': 'C_{1055}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 20890347
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': True, 'core_order': 3798, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 1266, 'label': '94950.b.25.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '25.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '25.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 25, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3798.a', 'subgroup_hash': 11, 'subgroup_order': 3798, 'subgroup_tex': 'C_{633}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20890348
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 3165, 'characteristic': True, 'core_order': 3165, 'counter': 18, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '94950.b.30.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '30.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}', 'simple': False, 'solvable': True, 'special_labels': ['F', 'S', 'C3', 'F', 'S', 'C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3165.d', 'subgroup_hash': 4, 'subgroup_order': 3165, 'subgroup_tex': 'C_{3165}', 'supersolvable': True, 'sylow': 0}
  • id: 20890349
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': False, 'core_order': 3165, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '94950.b.30.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '30.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '30.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3165.b', 'subgroup_hash': 2, 'subgroup_order': 3165, 'subgroup_tex': 'C_{211}:C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 20890351
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': False, 'core_order': 3165, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '94950.b.30.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '30.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '30.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3165.c', 'subgroup_hash': 3, 'subgroup_order': 3165, 'subgroup_tex': 'C_{1055}:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 20890352
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': False, 'core_order': 3165, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '94950.b.30.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '30.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '30.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3165.a', 'subgroup_hash': 1, 'subgroup_order': 3165, 'subgroup_tex': 'C_{211}:C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 20890353
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': True, 'core_order': 2110, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '94950.b.45.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '45.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '45.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 45, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{15}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2110.c', 'subgroup_hash': 4, 'subgroup_order': 2110, 'subgroup_tex': 'C_5\\times D_{211}', 'supersolvable': True, 'sylow': 0}
  • id: 20890354
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': False, 'core_order': 2110, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '94950.b.45.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '45.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '45.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 45, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{15}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2110.a', 'subgroup_hash': 1, 'subgroup_order': 2110, 'subgroup_tex': 'C_{211}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20890355
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': True, 'core_order': 1899, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 633, 'label': '94950.b.50.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1899.3', 'subgroup_hash': 3, 'subgroup_order': 1899, 'subgroup_tex': 'C_{633}:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 20890356
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': True, 'core_order': 1266, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '94950.b.75.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '75.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '75.3', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 75, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{15}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1266.4', 'subgroup_hash': 4, 'subgroup_order': 1266, 'subgroup_tex': 'C_3\\times D_{211}', 'supersolvable': True, 'sylow': 0}
  • id: 20890357
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': False, 'core_order': 1266, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '94950.b.75.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '75.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '75.3', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 75, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{15}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1266.1', 'subgroup_hash': 1, 'subgroup_order': 1266, 'subgroup_tex': 'C_{211}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20890358
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 3165, 'characteristic': True, 'core_order': 1055, 'counter': 27, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '94950.b.90.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '90.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '90.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 90, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{30}', 'simple': False, 'solvable': True, 'special_labels': ['C4', 'C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1055.2', 'subgroup_hash': 2, 'subgroup_order': 1055, 'subgroup_tex': 'C_{1055}', 'supersolvable': True, 'sylow': 0}
  • id: 20890359
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': False, 'core_order': 1055, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '94950.b.90.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '90.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '90.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 90, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{30}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1055.1', 'subgroup_hash': 1, 'subgroup_order': 1055, 'subgroup_tex': 'C_{211}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 20890360
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 3165, 'characteristic': True, 'core_order': 633, 'counter': 29, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '94950.b.150.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '150.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '150.13', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 150, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{30}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '633.2', 'subgroup_hash': 2, 'subgroup_order': 633, 'subgroup_tex': 'C_{633}', 'supersolvable': True, 'sylow': 0}
  • id: 20890362
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': False, 'core_order': 633, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '94950.b.150.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '150.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '150.13', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 150, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{30}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '633.1', 'subgroup_hash': 1, 'subgroup_order': 633, 'subgroup_tex': 'C_{211}:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 20890363
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 15, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 30, 'label': '94950.b.211.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '211.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 211, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '450.34', 'subgroup_hash': 34, 'subgroup_order': 450, 'subgroup_tex': 'C_{15}\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20890364
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 15, 'characteristic': True, 'core_order': 422, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 422, 'label': '94950.b.225.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '225.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '225.6', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 225, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '422.1', 'subgroup_hash': 1, 'subgroup_order': 422, 'subgroup_tex': 'D_{211}', 'supersolvable': True, 'sylow': 0}
  • id: 20890365
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 15, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 15, 'label': '94950.b.422.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '422.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 422, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '225.6', 'subgroup_hash': 6, 'subgroup_order': 225, 'subgroup_tex': 'C_{15}^2', 'supersolvable': True, 'sylow': 0}
  • id: 20890366
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 3165, 'characteristic': True, 'core_order': 211, 'counter': 34, 'cyclic': True, 'direct': False, 'hall': 211, 'label': '94950.b.450.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '450.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '450.34', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 34, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 450, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}\\times C_{30}', 'simple': True, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C5', 'D', 'L1', 'D1', 'C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '211.1', 'subgroup_hash': 1, 'subgroup_order': 211, 'subgroup_tex': 'C_{211}', 'supersolvable': True, 'sylow': 211}
  • id: 20890367
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 15, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '94950.b.633.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '633.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 633, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '150.13', 'subgroup_hash': 13, 'subgroup_order': 150, 'subgroup_tex': 'C_5\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20890368
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 5, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '94950.b.633.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '633.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 633, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '150.13', 'subgroup_hash': 13, 'subgroup_order': 150, 'subgroup_tex': 'C_5\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20890369
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 15, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '94950.b.1055.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1055.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1055, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '90.10', 'subgroup_hash': 10, 'subgroup_order': 90, 'subgroup_tex': 'C_3\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20890370
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 3, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '94950.b.1055.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1055.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1055, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '90.10', 'subgroup_hash': 10, 'subgroup_order': 90, 'subgroup_tex': 'C_3\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20890371
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 15, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '94950.b.1266.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1266.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1266, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '75.3', 'subgroup_hash': 3, 'subgroup_order': 75, 'subgroup_tex': 'C_5\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 20890373
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 5, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '94950.b.1266.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1266.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1266, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '75.3', 'subgroup_hash': 3, 'subgroup_order': 75, 'subgroup_tex': 'C_5\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 20890374
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 5, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '94950.b.1899.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1899.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1899, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20890375
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 15, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '94950.b.2110.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2110.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '45.2', 'subgroup_hash': 2, 'subgroup_order': 45, 'subgroup_tex': 'C_3\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 20890376
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 3, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '94950.b.2110.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2110.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '45.2', 'subgroup_hash': 2, 'subgroup_order': 45, 'subgroup_tex': 'C_3\\times C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 20890377
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 15, 'counter': 44, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '94950.b.3165.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3165.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3165, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20890378
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 3, 'counter': 45, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '94950.b.3165.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3165.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3165, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20890379
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 5, 'counter': 46, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '94950.b.3165.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3165.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3165, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20890380
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 1, 'counter': 47, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '94950.b.3165.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3165.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3165, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20890381
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 5, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 5, 'label': '94950.b.3798.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3798.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3798, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 5}
  • id: 20890382
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 3, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '94950.b.5275.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5275.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5275, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20890384
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': True, 'central_factor': False, 'centralizer_order': 94950, 'characteristic': True, 'core_order': 15, 'counter': 50, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '94950.b.6330.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6330.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6330.h', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6330, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{211}:C_{30}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0', 'Z', 'U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 20890385
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 3, 'counter': 51, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '94950.b.6330.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6330.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 20890386
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 5, 'counter': 52, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '94950.b.6330.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6330.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 20890387
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 1, 'counter': 53, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '94950.b.6330.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6330.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 20890388
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 5, 'counter': 54, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '94950.b.9495.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9495.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9495, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20890389
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 1, 'counter': 55, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '94950.b.9495.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9495.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9495, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20890390
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 3, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '94950.b.10550.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10550.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 3}
  • id: 20890391
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 3, 'counter': 57, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '94950.b.15825.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '15825.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 15825, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20890392
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 1, 'counter': 58, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '94950.b.15825.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '15825.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 15825, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20890393
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': True, 'central_factor': False, 'centralizer_order': 94950, 'characteristic': True, 'core_order': 5, 'counter': 59, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '94950.b.18990.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '18990.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18990.a', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8501674034240460093, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18990, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{633}:C_{30}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 20890395
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 1, 'counter': 60, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '94950.b.18990.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18990.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18990, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 20890396
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': True, 'central_factor': False, 'centralizer_order': 94950, 'characteristic': True, 'core_order': 3, 'counter': 61, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '94950.b.31650.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '31650.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '31650.b', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5869827615741751670, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 31650, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{1055}:C_{30}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 20890397
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 1, 'counter': 62, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '94950.b.31650.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '31650.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 31650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 20890398
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': False, 'central_factor': False, 'centralizer_order': 450, 'characteristic': False, 'core_order': 1, 'counter': 63, 'cyclic': True, 'direct': None, 'hall': 2, 'label': '94950.b.47475.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '47475.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 47475, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 2}
  • id: 20890399
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '94950.b', 'ambient_counter': 2, 'ambient_order': 94950, 'ambient_tex': 'C_{3165}:C_{30}', 'central': True, 'central_factor': False, 'centralizer_order': 94950, 'characteristic': True, 'core_order': 1, 'counter': 64, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '94950.b.94950.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '94950.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '94950.b', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8017450165717436682, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 94950, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{3165}:C_{30}', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'PC', 'U1', 'D2', 'C6', 'Phi', 'PC', 'U1', 'D2', 'C6'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

  Column	Type
  ambient	text
  aut_centralizer_order	numeric
  aut_label	text
  aut_quo_index	numeric
  aut_stab_index	numeric
  aut_weyl_group	text
  aut_weyl_index	numeric
  centralizer	text
  complements	text[]
  conjugacy_class_count	numeric
  contained_in	text[]
  contains	text[]
  core	text
  coset_action_label	text
  count	numeric
  diagramx	smallint[]
  generators	numeric[]
  label	text
  mobius_quo	bigint
  mobius_sub	bigint
  normal_closure	text
  normal_contained_in	text[]
  normal_contains	text[]
  normalizer	text
  old_label	text
  projective_image	text
  quotient_action_image	text
  quotient_action_kernel	text
  quotient_action_kernel_order	numeric
  quotient_fusion	jsonb
  short_label	text
  subgroup_fusion	integer[]
  weyl_group	text

  
  
  • id: 20890387
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '6330.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 15, 'contained_in': ['30.d1', '1266.b1', '2110.b1', '3165.d1'], 'contains': ['18990.b1', '31650.b1'], 'core': '94950.a1', 'coset_action_label': None, 'count': 3165, 'diagramx': [3786, -1, 1912, -1], 'generators': [78320, 96], 'label': '94950.b.6330.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '6330.d1', 'projective_image': '94950.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6330.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890388
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '9495.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['45.a1', '1899.a1', '3165.a1', '3165.c1'], 'contains': ['18990.a1', '47475.a1'], 'core': '18990.a1', 'coset_action_label': None, 'count': 211, 'diagramx': [3279, -1, 7317, -1], 'generators': [15, 18990], 'label': '94950.b.9495.a1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '45.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '9495.a1', 'projective_image': '18990.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9495.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890389
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '9495.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['45.b1', '1899.a1', '3165.b1', '3165.d1'], 'contains': ['18990.b1', '47475.a1'], 'core': '94950.a1', 'coset_action_label': None, 'count': 1055, 'diagramx': [5085, -1, 6299, -1], 'generators': [75615, 96], 'label': '94950.b.9495.b1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '9495.b1', 'projective_image': '94950.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9495.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890390
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '10550.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['50.a1', '2110.a1', '2110.b1', '5275.a1'], 'contains': ['31650.a1', '31650.b1'], 'core': '31650.a1', 'coset_action_label': None, 'count': 211, 'diagramx': [6332, -1, 3965, -1], 'generators': [20, 63300], 'label': '94950.b.10550.a1', 'mobius_quo': None, 'mobius_sub': 5, 'normal_closure': '50.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '10550.a1', 'projective_image': '31650.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10550.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890391
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '15825.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['75.a1', '3165.a1', '3165.b1', '5275.a1'], 'contains': ['31650.a1', '47475.a1'], 'core': '31650.a1', 'coset_action_label': None, 'count': 211, 'diagramx': [7503, -1, 7627, -1], 'generators': [15, 63300], 'label': '94950.b.15825.a1', 'mobius_quo': None, 'mobius_sub': 5, 'normal_closure': '75.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '15825.a1', 'projective_image': '31650.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15825.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890392
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '15825.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['75.b1', '3165.c1', '3165.d1', '5275.a1'], 'contains': ['31650.b1', '47475.a1'], 'core': '94950.a1', 'coset_action_label': None, 'count': 633, 'diagramx': [3636, -1, 7058, -1], 'generators': [77415, 3320], 'label': '94950.b.15825.b1', 'mobius_quo': None, 'mobius_sub': 5, 'normal_closure': '25.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '15825.b1', 'projective_image': '94950.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15825.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890339
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['94950.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '3.a1', '3.b1', '5.a1', '5.b1', '211.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6186, 5357, 5620, 4831], 'generators': [6, 18990, 450, 63300, 20, 15], 'label': '94950.b.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '3.a1', '3.b1', '5.a1', '5.b1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '6330.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890340
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '10.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['9495.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '5.a1'], 'contains': ['30.a1', '30.c1', '50.a1', '2110.a1'], 'core': '10.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4961, 8554, 3596, 1584], 'generators': [20, 63300, 450, 18990], 'label': '94950.b.10.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1', 'normal_contained_in': ['2.a1', '5.a1'], 'normal_contains': ['30.a1', '30.c1', '50.a1'], 'normalizer': '1.a1', 'old_label': '10.a1', 'projective_image': '6330.h', 'quotient_action_image': '10.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '10.a1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890341
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['9495.a1', '9495.b1'], 'conjugacy_class_count': 5, 'contained_in': ['2.a1', '5.b1'], 'contains': ['30.b1', '30.d1', '50.a1', '2110.b1'], 'core': '10.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [6533, 1860, 2109, 6731], 'generators': [20, 63300, 450, 6], 'label': '94950.b.10.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1', 'normal_contained_in': ['2.a1', '5.b1'], 'normal_contains': ['30.b1', '30.d1', '50.a1'], 'normalizer': '1.a1', 'old_label': '10.b1', 'projective_image': '31650.b', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.b1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890342
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '15.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['6330.d1'], 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '5.a1'], 'contains': ['30.a1', '45.a1', '75.a1', '3165.a1'], 'core': '15.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5971, 9511, 9706, 3681], 'generators': [15, 63300, 450, 18990], 'label': '94950.b.15.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '15.a1', 'normal_contained_in': ['3.a1', '5.a1'], 'normal_contains': ['30.a1', '45.a1', '75.a1'], 'normalizer': '1.a1', 'old_label': '15.a1', 'projective_image': '6330.h', 'quotient_action_image': '15.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '15.a1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890343
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '15.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['6330.c1', '6330.d1'], 'conjugacy_class_count': 5, 'contained_in': ['3.a1', '5.b1'], 'contains': ['30.b1', '45.b1', '75.a1', '3165.b1'], 'core': '15.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [7475, 2951, 7168, 7815], 'generators': [15, 63300, 450, 366], 'label': '94950.b.15.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '15.b1', 'normal_contained_in': ['3.a1', '5.b1'], 'normal_contains': ['30.b1', '45.b1', '75.a1'], 'normalizer': '1.a1', 'old_label': '15.b1', 'projective_image': '31650.b', 'quotient_action_image': '3.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '15.b1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890344
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '15.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['6330.b1', '6330.d1'], 'conjugacy_class_count': 3, 'contained_in': ['3.b1', '5.a1'], 'contains': ['30.c1', '45.a1', '75.b1', '3165.c1'], 'core': '15.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [656, 6991, 8397, 5713], 'generators': [15, 1670, 450, 18990], 'label': '94950.b.15.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '15.c1', 'normal_contained_in': ['3.b1', '5.a1'], 'normal_contains': ['30.c1', '45.a1', '75.b1'], 'normalizer': '1.a1', 'old_label': '15.c1', 'projective_image': '18990.a', 'quotient_action_image': '5.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '15.c1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890345
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '15.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['6330.a1', '6330.b1', '6330.c1', '6330.d1'], 'conjugacy_class_count': 15, 'contained_in': ['3.b1', '5.b1'], 'contains': ['30.d1', '45.b1', '75.b1', '3165.d1'], 'core': '15.d1', 'coset_action_label': None, 'count': 15, 'diagramx': [1771, 760, 5801, 9677], 'generators': [15, 1670, 450, 276], 'label': '94950.b.15.d1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '15.d1', 'normal_contained_in': ['3.b1', '5.b1'], 'normal_contains': ['30.d1', '45.b1', '75.b1'], 'normalizer': '1.a1', 'old_label': '15.d1', 'projective_image': '94950.b', 'quotient_action_image': '1.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '15.d1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890346
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '18.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['5275.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '6.b1', '9.a1'], 'contains': ['90.a1', '90.b1', '3798.a1'], 'core': '18.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2977, 5307, 2381, 2409], 'generators': [6, 18990, 450], 'label': '94950.b.18.a1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.a1', 'normal_contained_in': ['6.a1', '6.b1', '9.a1'], 'normal_contains': ['90.a1', '90.b1'], 'normalizer': '1.a1', 'old_label': '18.a1', 'projective_image': '18990.a', 'quotient_action_image': '6.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '18.a1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890347
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '25.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['3798.a1'], 'conjugacy_class_count': 1, 'contained_in': ['5.a1', '5.b1'], 'contains': ['50.a1', '75.a1', '75.b1', '5275.a1'], 'core': '25.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4897, 5108, 9053, 8834], 'generators': [15, 20, 450, 63300], 'label': '94950.b.25.a1', 'mobius_quo': 0, 'mobius_sub': 5, 'normal_closure': '25.a1', 'normal_contained_in': ['5.a1', '5.b1'], 'normal_contains': ['50.a1', '75.a1', '75.b1'], 'normalizer': '1.a1', 'old_label': '25.a1', 'projective_image': '31650.b', 'quotient_action_image': '5.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '25.a1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890348
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '30.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '30.a1', 'complements': ['3165.d1'], 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '10.a1', '15.a1'], 'contains': ['90.a1', '150.a1', '6330.a1'], 'core': '30.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6295, 9447, 5374, 1683], 'generators': [63300, 18990, 450], 'label': '94950.b.30.a1', 'mobius_quo': -1, 'mobius_sub': -1, 'normal_closure': '30.a1', 'normal_contained_in': ['6.a1', '10.a1', '15.a1'], 'normal_contains': ['90.a1', '150.a1', '6330.a1'], 'normalizer': '1.a1', 'old_label': '30.a1', 'projective_image': '6330.h', 'quotient_action_image': '30.4', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '30.a1', 'subgroup_fusion': None, 'weyl_group': '30.4'}
  • id: 20890349
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '30.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['3165.c1', '3165.d1'], 'conjugacy_class_count': 5, 'contained_in': ['6.a1', '10.b1', '15.b1'], 'contains': ['90.b1', '150.a1', '6330.b1'], 'core': '30.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [7539, 2580, 3037, 5138], 'generators': [63300, 366, 450], 'label': '94950.b.30.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '30.b1', 'normal_contained_in': ['6.a1', '10.b1', '15.b1'], 'normal_contains': ['90.b1', '150.a1'], 'normalizer': '1.a1', 'old_label': '30.b1', 'projective_image': '31650.b', 'quotient_action_image': '6.2', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '30.b1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890350
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['47475.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '10.a1', '10.b1', '422.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6523, 5357, 2481, 2470], 'generators': [18990, 450, 6, 63300, 20], 'label': '94950.b.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '6.b1', '10.a1', '10.b1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '6330.h', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890351
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '30.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['3165.b1', '3165.d1'], 'conjugacy_class_count': 3, 'contained_in': ['6.b1', '10.a1', '15.c1'], 'contains': ['90.a1', '150.b1', '6330.c1'], 'core': '30.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [423, 6192, 4220, 3366], 'generators': [3320, 18990, 450], 'label': '94950.b.30.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '30.c1', 'normal_contained_in': ['6.b1', '10.a1', '15.c1'], 'normal_contains': ['90.a1', '150.b1'], 'normalizer': '1.a1', 'old_label': '30.c1', 'projective_image': '18990.a', 'quotient_action_image': '10.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '30.c1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890352
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '30.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['3165.a1', '3165.b1', '3165.c1', '3165.d1'], 'conjugacy_class_count': 15, 'contained_in': ['6.b1', '10.b1', '15.d1'], 'contains': ['90.b1', '150.b1', '6330.d1'], 'core': '30.d1', 'coset_action_label': None, 'count': 15, 'diagramx': [1588, 489, 1802, 6938], 'generators': [1670, 276, 450], 'label': '94950.b.30.d1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '30.d1', 'normal_contained_in': ['6.b1', '10.b1', '15.d1'], 'normal_contains': ['90.b1', '150.b1'], 'normalizer': '1.a1', 'old_label': '30.d1', 'projective_image': '94950.b', 'quotient_action_image': '2.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '30.d1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890353
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '45.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['2110.b1'], 'conjugacy_class_count': 1, 'contained_in': ['9.a1', '15.a1', '15.c1'], 'contains': ['90.a1', '225.a1', '9495.a1'], 'core': '45.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3558, 7876, 8853, 4252], 'generators': [15, 18990, 450], 'label': '94950.b.45.a1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '45.a1', 'normal_contained_in': ['9.a1', '15.a1', '15.c1'], 'normal_contains': ['90.a1', '225.a1'], 'normalizer': '1.a1', 'old_label': '45.a1', 'projective_image': '18990.a', 'quotient_action_image': '15.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '45.a1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890354
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '45.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['2110.a1', '2110.b1'], 'conjugacy_class_count': 5, 'contained_in': ['9.a1', '15.b1', '15.d1'], 'contains': ['90.b1', '225.a1', '9495.b1'], 'core': '45.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [4308, 2145, 6897, 8485], 'generators': [15, 6, 450], 'label': '94950.b.45.b1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '45.b1', 'normal_contained_in': ['9.a1', '15.b1', '15.d1'], 'normal_contains': ['90.b1', '225.a1'], 'normalizer': '1.a1', 'old_label': '45.b1', 'projective_image': '94950.b', 'quotient_action_image': '3.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '45.b1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890355
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '50.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['1899.a1'], 'conjugacy_class_count': 1, 'contained_in': ['10.a1', '10.b1', '25.a1'], 'contains': ['150.a1', '150.b1', '10550.a1'], 'core': '50.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5226, 4479, 4876, 6095], 'generators': [20, 63300, 450], 'label': '94950.b.50.a1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '50.a1', 'normal_contained_in': ['10.a1', '10.b1', '25.a1'], 'normal_contains': ['150.a1', '150.b1'], 'normalizer': '1.a1', 'old_label': '50.a1', 'projective_image': '31650.b', 'quotient_action_image': '10.2', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '50.a1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890356
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '75.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['1266.b1'], 'conjugacy_class_count': 1, 'contained_in': ['15.a1', '15.b1', '25.a1'], 'contains': ['150.a1', '225.a1', '15825.a1'], 'core': '75.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6158, 5821, 9412, 7712], 'generators': [15, 63300, 450], 'label': '94950.b.75.a1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '75.a1', 'normal_contained_in': ['15.a1', '15.b1', '25.a1'], 'normal_contains': ['150.a1', '225.a1'], 'normalizer': '1.a1', 'old_label': '75.a1', 'projective_image': '31650.b', 'quotient_action_image': '15.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '75.a1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890357
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '75.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['1266.a1', '1266.b1'], 'conjugacy_class_count': 3, 'contained_in': ['15.c1', '15.d1', '25.a1'], 'contains': ['150.b1', '225.a1', '15825.b1'], 'core': '75.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [1277, 3380, 8364, 9154], 'generators': [15, 20, 450], 'label': '94950.b.75.b1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '75.b1', 'normal_contained_in': ['15.c1', '15.d1', '25.a1'], 'normal_contains': ['150.b1', '225.a1'], 'normalizer': '1.a1', 'old_label': '75.b1', 'projective_image': '94950.b', 'quotient_action_image': '5.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '75.b1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890358
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '90.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '30.a1', 'complements': ['1055.b1'], 'conjugacy_class_count': 1, 'contained_in': ['18.a1', '30.a1', '30.c1', '45.a1'], 'contains': ['450.a1', '18990.a1'], 'core': '90.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2854, 7119, 4967, 3809], 'generators': [18990, 450], 'label': '94950.b.90.a1', 'mobius_quo': 1, 'mobius_sub': 3, 'normal_closure': '90.a1', 'normal_contained_in': ['18.a1', '30.a1', '30.c1', '45.a1'], 'normal_contains': ['450.a1', '18990.a1'], 'normalizer': '1.a1', 'old_label': '90.a1', 'projective_image': '18990.a', 'quotient_action_image': '30.4', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '90.a1', 'subgroup_fusion': None, 'weyl_group': '30.4'}
  • id: 20890359
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '90.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['1055.a1', '1055.b1'], 'conjugacy_class_count': 5, 'contained_in': ['18.a1', '30.b1', '30.d1', '45.b1'], 'contains': ['450.a1', '18990.b1'], 'core': '90.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [3389, 1653, 3325, 5600], 'generators': [366, 450], 'label': '94950.b.90.b1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '90.b1', 'normal_contained_in': ['18.a1', '30.b1', '30.d1', '45.b1'], 'normal_contains': ['450.a1'], 'normalizer': '1.a1', 'old_label': '90.b1', 'projective_image': '94950.b', 'quotient_action_image': '6.2', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '90.b1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890360
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '150.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '30.a1', 'complements': ['633.b1'], 'conjugacy_class_count': 1, 'contained_in': ['30.a1', '30.b1', '50.a1', '75.a1'], 'contains': ['450.a1', '31650.a1'], 'core': '150.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5742, 6364, 5293, 5067], 'generators': [63300, 450], 'label': '94950.b.150.a1', 'mobius_quo': 1, 'mobius_sub': 5, 'normal_closure': '150.a1', 'normal_contained_in': ['30.a1', '30.b1', '50.a1', '75.a1'], 'normal_contains': ['450.a1', '31650.a1'], 'normalizer': '1.a1', 'old_label': '150.a1', 'projective_image': '31650.b', 'quotient_action_image': '30.4', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '150.a1', 'subgroup_fusion': None, 'weyl_group': '30.4'}
  • id: 20890361
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['31650.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '9.a1', '15.a1', '15.b1', '633.a1'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7996, 6541, 6777, 3681], 'generators': [18990, 450, 6, 63300, 15], 'label': '94950.b.3.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '9.a1', '15.a1', '15.b1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': '6330.h', 'quotient_action_image': '3.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890362
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '150.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['633.a1', '633.b1'], 'conjugacy_class_count': 3, 'contained_in': ['30.c1', '30.d1', '50.a1', '75.b1'], 'contains': ['450.a1', '31650.b1'], 'core': '150.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [930, 3309, 4589, 6203], 'generators': [1670, 450], 'label': '94950.b.150.b1', 'mobius_quo': 0, 'mobius_sub': 5, 'normal_closure': '150.b1', 'normal_contained_in': ['30.c1', '30.d1', '50.a1', '75.b1'], 'normal_contains': ['450.a1'], 'normalizer': '1.a1', 'old_label': '150.b1', 'projective_image': '94950.b', 'quotient_action_image': '10.2', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '150.b1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890363
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '211.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['422.a1', '633.a1', '633.b1', '1055.a1', '1055.b1'], 'core': '6330.a1', 'coset_action_label': None, 'count': 211, 'diagramx': [8782, -1, 4569, -1], 'generators': [15, 63300, 6, 20, 18990], 'label': '94950.b.211.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '211.a1', 'projective_image': '6330.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890364
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '225.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['422.a1'], 'conjugacy_class_count': 1, 'contained_in': ['45.a1', '45.b1', '75.a1', '75.b1'], 'contains': ['450.a1', '47475.a1'], 'core': '225.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3764, 5064, 8145, 7712], 'generators': [15, 450], 'label': '94950.b.225.a1', 'mobius_quo': 0, 'mobius_sub': 15, 'normal_closure': '225.a1', 'normal_contained_in': ['45.a1', '45.b1', '75.a1', '75.b1'], 'normal_contains': ['450.a1'], 'normalizer': '1.a1', 'old_label': '225.a1', 'projective_image': '94950.b', 'quotient_action_image': '15.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '225.a1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890365
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '422.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '211.a1'], 'contains': ['1266.a1', '1266.b1', '2110.a1', '2110.b1'], 'core': '6330.a1', 'coset_action_label': None, 'count': 211, 'diagramx': [8508, -1, 816, -1], 'generators': [20, 6, 18990, 63300], 'label': '94950.b.422.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '422.a1', 'projective_image': '6330.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '422.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890366
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '450.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '30.a1', 'complements': ['211.a1'], 'conjugacy_class_count': 1, 'contained_in': ['90.a1', '90.b1', '150.a1', '150.b1', '225.a1'], 'contains': ['94950.a1'], 'core': '450.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3050, 5714, 4847, 5284], 'generators': [450], 'label': '94950.b.450.a1', 'mobius_quo': -1, 'mobius_sub': -15, 'normal_closure': '450.a1', 'normal_contained_in': ['90.a1', '90.b1', '150.a1', '150.b1', '225.a1'], 'normal_contains': ['94950.a1'], 'normalizer': '1.a1', 'old_label': '450.a1', 'projective_image': '94950.b', 'quotient_action_image': '30.4', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '450.a1', 'subgroup_fusion': None, 'weyl_group': '30.4'}
  • id: 20890367
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '633.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '211.a1'], 'contains': ['1266.a1', '1899.a1', '3165.a1', '3165.b1'], 'core': '6330.a1', 'coset_action_label': None, 'count': 211, 'diagramx': [9577, -1, 5287, -1], 'generators': [15, 6, 18990, 63300], 'label': '94950.b.633.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '633.a1', 'projective_image': '6330.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '633.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890368
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '633.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['3.b1', '211.a1'], 'contains': ['1266.b1', '1899.a1', '3165.c1', '3165.d1'], 'core': '18990.a1', 'coset_action_label': None, 'count': 633, 'diagramx': [3855, -1, 4233, -1], 'generators': [15, 6, 18990, 63320], 'label': '94950.b.633.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '633.b1', 'projective_image': '18990.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '633.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890369
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '1055.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['5.a1', '211.a1'], 'contains': ['2110.a1', '3165.a1', '3165.c1', '5275.a1'], 'core': '6330.a1', 'coset_action_label': None, 'count': 211, 'diagramx': [5821, -1, 7805, -1], 'generators': [15, 63300, 18990, 20], 'label': '94950.b.1055.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '1055.a1', 'projective_image': '6330.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1055.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890370
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '1055.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['5.b1', '211.a1'], 'contains': ['2110.b1', '3165.b1', '3165.d1', '5275.a1'], 'core': '31650.a1', 'coset_action_label': None, 'count': 1055, 'diagramx': [8306, -1, 4760, -1], 'generators': [75615, 63300, 96, 78320], 'label': '94950.b.1055.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '1055.b1', 'projective_image': '31650.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1055.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890371
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '1266.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '422.a1', '633.a1'], 'contains': ['3798.a1', '6330.a1', '6330.b1'], 'core': '6330.a1', 'coset_action_label': None, 'count': 211, 'diagramx': [9056, -1, 1288, -1], 'generators': [63300, 18990, 6], 'label': '94950.b.1266.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '1266.a1', 'projective_image': '6330.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1266.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890372
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '3.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['31650.a1', '31650.b1'], 'conjugacy_class_count': 3, 'contained_in': ['1.a1'], 'contains': ['6.b1', '9.a1', '15.c1', '15.d1', '633.b1'], 'core': '3.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [1757, 3915, 5248, 5916], 'generators': [18990, 450, 6, 3320, 15], 'label': '94950.b.3.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.b1', '9.a1', '15.c1', '15.d1'], 'normalizer': '1.a1', 'old_label': '3.b1', 'projective_image': '18990.a', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.b1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890373
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '1266.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['6.b1', '422.a1', '633.b1'], 'contains': ['3798.a1', '6330.c1', '6330.d1'], 'core': '18990.a1', 'coset_action_label': None, 'count': 633, 'diagramx': [3681, -1, 234, -1], 'generators': [20, 18990, 6], 'label': '94950.b.1266.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '1266.b1', 'projective_image': '18990.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1266.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890374
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '1899.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1', '633.a1', '633.b1'], 'contains': ['3798.a1', '9495.a1', '9495.b1'], 'core': '18990.a1', 'coset_action_label': None, 'count': 211, 'diagramx': [4897, -1, 6095, -1], 'generators': [15, 18990, 6], 'label': '94950.b.1899.a1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '1899.a1', 'projective_image': '18990.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1899.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890375
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '2110.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.a1', '422.a1', '1055.a1'], 'contains': ['6330.a1', '6330.c1', '10550.a1'], 'core': '6330.a1', 'coset_action_label': None, 'count': 211, 'diagramx': [6515, -1, 3629, -1], 'generators': [20, 18990, 63300], 'label': '94950.b.2110.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '2110.a1', 'projective_image': '6330.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2110.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890376
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '2110.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['10.b1', '422.a1', '1055.b1'], 'contains': ['6330.b1', '6330.d1', '10550.a1'], 'core': '31650.a1', 'coset_action_label': None, 'count': 1055, 'diagramx': [8306, -1, 761, -1], 'generators': [45020, 276, 63300], 'label': '94950.b.2110.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '5.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '2110.b1', 'projective_image': '31650.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2110.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890377
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '3165.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['15.a1', '633.a1', '1055.a1'], 'contains': ['6330.a1', '9495.a1', '15825.a1'], 'core': '6330.a1', 'coset_action_label': None, 'count': 211, 'diagramx': [7292, -1, 8015, -1], 'generators': [15, 18990, 63300], 'label': '94950.b.3165.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '15.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '3165.a1', 'projective_image': '6330.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3165.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890378
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '3165.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['15.b1', '633.a1', '1055.b1'], 'contains': ['6330.b1', '9495.b1', '15825.a1'], 'core': '31650.a1', 'coset_action_label': None, 'count': 1055, 'diagramx': [9244, -1, 6503, -1], 'generators': [17565, 366, 63300], 'label': '94950.b.3165.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '15.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '3165.b1', 'projective_image': '31650.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3165.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890379
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '3165.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['15.c1', '633.b1', '1055.a1'], 'contains': ['6330.c1', '9495.a1', '15825.b1'], 'core': '18990.a1', 'coset_action_label': None, 'count': 633, 'diagramx': [2758, -1, 7291, -1], 'generators': [77415, 18990, 3320], 'label': '94950.b.3165.c1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '3165.c1', 'projective_image': '18990.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3165.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890380
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '3165.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 15, 'contained_in': ['15.d1', '633.b1', '1055.b1'], 'contains': ['6330.d1', '9495.b1', '15825.b1'], 'core': '94950.a1', 'coset_action_label': None, 'count': 3165, 'diagramx': [4595, -1, 5688, -1], 'generators': [36915, 276, 45020], 'label': '94950.b.3165.d1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '5.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '3165.d1', 'projective_image': '94950.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3165.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890381
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '3798.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1', '1266.a1', '1266.b1', '1899.a1'], 'contains': ['18990.a1', '18990.b1'], 'core': '18990.a1', 'coset_action_label': None, 'count': 211, 'diagramx': [3974, -1, 2530, -1], 'generators': [6, 18990], 'label': '94950.b.3798.a1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '3798.a1', 'projective_image': '18990.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3798.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890382
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '5275.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['25.a1', '1055.a1', '1055.b1'], 'contains': ['10550.a1', '15825.a1', '15825.b1'], 'core': '31650.a1', 'coset_action_label': None, 'count': 211, 'diagramx': [6035, -1, 7653, -1], 'generators': [15, 20, 63300], 'label': '94950.b.5275.a1', 'mobius_quo': None, 'mobius_sub': -5, 'normal_closure': '25.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '5275.a1', 'projective_image': '31650.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5275.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890383
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['18990.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['10.a1', '15.a1', '15.c1', '25.a1', '1055.a1'], 'core': '5.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3562, 8554, 8099, 4831], 'generators': [18990, 450, 63300, 20, 15], 'label': '94950.b.5.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['10.a1', '15.a1', '15.c1', '25.a1'], 'normalizer': '1.a1', 'old_label': '5.a1', 'projective_image': '6330.h', 'quotient_action_image': '5.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '5.a1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890384
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '6330.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['15.d1'], 'conjugacy_class_count': 1, 'contained_in': ['30.a1', '1266.a1', '2110.a1', '3165.a1'], 'contains': ['18990.a1', '31650.a1'], 'core': '6330.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6935, 7569, 4239, 3351], 'generators': [63300, 18990], 'label': '94950.b.6330.a1', 'mobius_quo': 1, 'mobius_sub': 211, 'normal_closure': '6330.a1', 'normal_contained_in': ['30.a1'], 'normal_contains': ['18990.a1', '31650.a1'], 'normalizer': '1.a1', 'old_label': '6330.a1', 'projective_image': '6330.h', 'quotient_action_image': '1.1', 'quotient_action_kernel': '6330.h', 'quotient_action_kernel_order': 6330, 'quotient_fusion': None, 'short_label': '6330.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890385
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '6330.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['30.b1', '1266.a1', '2110.b1', '3165.b1'], 'contains': ['18990.b1', '31650.a1'], 'core': '31650.a1', 'coset_action_label': None, 'count': 1055, 'diagramx': [8517, -1, 2976, -1], 'generators': [63300, 366], 'label': '94950.b.6330.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '30.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '6330.b1', 'projective_image': '31650.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6330.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890386
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '6330.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['30.c1', '1266.b1', '2110.a1', '3165.c1'], 'contains': ['18990.a1', '31650.b1'], 'core': '18990.a1', 'coset_action_label': None, 'count': 633, 'diagramx': [2471, -1, 3690, -1], 'generators': [3320, 18990], 'label': '94950.b.6330.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '30.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '6330.c1', 'projective_image': '18990.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6330.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890393
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '18990.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['5.b1'], 'conjugacy_class_count': 1, 'contained_in': ['90.a1', '3798.a1', '6330.a1', '6330.c1', '9495.a1'], 'contains': ['94950.a1'], 'core': '18990.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2644, 7119, 4227, 3809], 'generators': [18990], 'label': '94950.b.18990.a1', 'mobius_quo': -1, 'mobius_sub': -633, 'normal_closure': '18990.a1', 'normal_contained_in': ['90.a1', '6330.a1'], 'normal_contains': ['94950.a1'], 'normalizer': '1.a1', 'old_label': '18990.a1', 'projective_image': '18990.a', 'quotient_action_image': '1.1', 'quotient_action_kernel': '18990.a', 'quotient_action_kernel_order': 18990, 'quotient_fusion': None, 'short_label': '18990.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890394
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '5.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['18990.a1', '18990.b1'], 'conjugacy_class_count': 5, 'contained_in': ['1.a1'], 'contains': ['10.b1', '15.b1', '15.d1', '25.a1', '1055.b1'], 'core': '5.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [6533, 2002, 5992, 7815], 'generators': [276, 450, 63300, 20, 15], 'label': '94950.b.5.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['10.b1', '15.b1', '15.d1', '25.a1'], 'normalizer': '1.a1', 'old_label': '5.b1', 'projective_image': '31650.b', 'quotient_action_image': '1.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '5.b1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890395
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '18990.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['90.b1', '3798.a1', '6330.b1', '6330.d1', '9495.b1'], 'contains': ['94950.a1'], 'core': '94950.a1', 'coset_action_label': None, 'count': 1055, 'diagramx': [4819, -1, 3150, -1], 'generators': [6], 'label': '94950.b.18990.b1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '45.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '18990.b1', 'projective_image': '94950.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18990.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890396
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '31650.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['3.b1'], 'conjugacy_class_count': 1, 'contained_in': ['150.a1', '6330.a1', '6330.b1', '10550.a1', '15825.a1'], 'contains': ['94950.a1'], 'core': '31650.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6963, 6549, 4459, 4846], 'generators': [63300], 'label': '94950.b.31650.a1', 'mobius_quo': -1, 'mobius_sub': -1055, 'normal_closure': '31650.a1', 'normal_contained_in': ['150.a1', '6330.a1'], 'normal_contains': ['94950.a1'], 'normalizer': '1.a1', 'old_label': '31650.a1', 'projective_image': '31650.b', 'quotient_action_image': '1.1', 'quotient_action_kernel': '31650.b', 'quotient_action_kernel_order': 31650, 'quotient_fusion': None, 'short_label': '31650.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890397
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '31650.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['150.b1', '6330.c1', '6330.d1', '10550.a1', '15825.b1'], 'contains': ['94950.a1'], 'core': '94950.a1', 'coset_action_label': None, 'count': 633, 'diagramx': [3425, -1, 3974, -1], 'generators': [3320], 'label': '94950.b.31650.b1', 'mobius_quo': None, 'mobius_sub': -5, 'normal_closure': '50.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '31650.b1', 'projective_image': '94950.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '31650.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890398
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '47475.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '211.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['225.a1', '9495.a1', '9495.b1', '15825.a1', '15825.b1'], 'contains': ['94950.a1'], 'core': '94950.a1', 'coset_action_label': None, 'count': 211, 'diagramx': [3978, -1, 7188, -1], 'generators': [15], 'label': '94950.b.47475.a1', 'mobius_quo': None, 'mobius_sub': -15, 'normal_closure': '225.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '211.a1', 'old_label': '47475.a1', 'projective_image': '94950.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '47475.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890399
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '94950.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['450.a1', '18990.a1', '18990.b1', '31650.a1', '31650.b1', '47475.a1'], 'contains': [], 'core': '94950.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3640, 6549, 4343, 4846], 'generators': [], 'label': '94950.b.94950.a1', 'mobius_quo': 1, 'mobius_sub': 3165, 'normal_closure': '94950.a1', 'normal_contained_in': ['450.a1', '18990.a1', '31650.a1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '94950.a1', 'projective_image': '94950.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '94950.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20890400
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '6.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['15825.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.a1'], 'contains': ['18.a1', '30.a1', '30.b1', '1266.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7996, 6642, 2853, 500], 'generators': [63300, 6, 450, 18990], 'label': '94950.b.6.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['18.a1', '30.a1', '30.b1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '6330.h', 'quotient_action_image': '6.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890401
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['15825.a1', '15825.b1'], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '3.b1'], 'contains': ['18.a1', '30.c1', '30.d1', '1266.b1'], 'core': '6.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [1236, 3915, 1366, 2668], 'generators': [1670, 6, 450, 18990], 'label': '94950.b.6.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1', 'normal_contained_in': ['2.a1', '3.b1'], 'normal_contains': ['18.a1', '30.c1', '30.d1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '18990.a', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}
  • id: 20890402
    {'ambient': '94950.b', 'aut_centralizer_order': None, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6330.a1', 'complements': ['10550.a1'], 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '3.b1'], 'contains': ['18.a1', '45.a1', '45.b1', '1899.a1'], 'core': '9.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3695, 5143, 6425, 4695], 'generators': [15, 6, 450, 18990], 'label': '94950.b.9.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '9.a1', 'normal_contained_in': ['3.a1', '3.b1'], 'normal_contains': ['18.a1', '45.a1', '45.b1'], 'normalizer': '1.a1', 'old_label': '9.a1', 'projective_image': '18990.a', 'quotient_action_image': '3.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '9.a1', 'subgroup_fusion': None, 'weyl_group': '6330.h'}