Abstract group data - 111168.a

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• 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': '576.182', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 37056, 'aut_gen_orders': [64, 192, 96], 'aut_gens': [[1, 192], [97153, 39552], [105793, 64320], [47809, 18816]], 'aut_group': None, 'aut_hash': 9034218873832238734, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 222336, 'aut_permdeg': 579, 'aut_perms': [415332439196822892389352437816130401390738383370221364844878850607550778333990999776184605568421278475280244453511953039962181494122189821781883263316959201531902154435173394089394881934386442975626803816682013366274710639327603048148709203263335850956934513705677432612445360081946015157071655246361766139655035408612165506562077446916418628964643217990337766352996222601170027446653298548723903021005585090748174612486989215916127204701984643312424419565310829136987071596031819888738883484494631912286631467416080596207115760718910261030352200258429464228694285393933605670082097777061678748728778910376089906175830219538826740427819069543445641473111518135030865041383761505802995633042264157695385149095812910305730873962133804210048811778408408912044895041794289016373876993393003850343067915221826771638027998018289443816891858117689277909315562197355454440756908444550351612076844757970360026059982795028072217662618178674174347631582979577052959925128972855693498719179982748932220795907650991275021926868086525363090353655986424650695238183662501765618102081991333595375807675522468968658278057534484857352976226502006309087252976077697563757811289195230490163803952647899670731559865265643180967467213966712908123993183585039763847724928805148033274967628307145129222343322411324931038858051345174327003752114021781110525226462752885580313, 479014167272169279755996534749016869201360125409707869346777139173855325732973306407581827360637861416796628583967537605174750440755172951647611148360420886066818966625224493036121140593991361702574439173487931495542811324288522316193184742900760726240752065536218699257748196284431579881855064224518805697295732303159061258681671081176040188032548833476269580387262908306563250660702611019277068476953424205735136714001191742818540650758360743051137638423493431011048231585738140104365197692678118733943399624276121231952910352335809352534900979894500301522060798687180784338268714734310069283898407485255332153678510128023079965874650141745439653517794871949674493658599361325135322238631828400809628963234626171640799212597628544539653848153537551703888160925703847542959186641445837725502276602925122671623118778042891665514630761156855503193641295628483318460990688232589593362604657098181334407559208546438440116238131525874637673754413479433224759030646838233940605423973996483539483765545005350674521063200626975803892704173618464958000037145440102744057197009069087597840592403845425088701173293366696779715011794067656736491752480204104369899761052146486746011901145681350543544281549199692102699926114539513794074642925875249292216791419433139874592421827462737631936905234500848852439091584890275128310285682039693192033515132543417787127, 277760953236342837117292557174462821114287163390486698520044107397102630341828911334724634063986710842920444830955313299925385350983244268886021022315981237795549780737884741923651084913239180727343406296955777942433557918598624112300413804496960863368252179927543364492282896784532251429949042415925461844126162445734642961450965380443036076222027786381896161962090515095762416255165795351898158842639957857049238957473589440156894832176991940550709600986239377877538544743956803923387193193865066176949238129341122274150540946851597339194782674124160123517928207485441918334711385663320613461637191579989079478741038608798295078518503987684983548650849968716598703795924874995717040585144950493270494927740533175639582291434685719726656706800993299794242981898778028252854083548476628038358490539279012898734102971616777329387637325227448025943318834668524333064387760248758936069676844022436243570342772220747138128162070159407304816491385443347970526774849970968076693118499504812073473738620026244292676174046524243626716974721534065429730115396995305226243592090361756712031130218463359952789100999205852776151465902423211012566157221428957791334117857340426667880379703257574413329883898048665482750203385023283066989113542296839356503238609620710525212771820102003142672456708042283414397442459359716168084828115094291803017438146292553014690], 'aut_phi_ratio': 6.03125, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 193, 1, 1], [3, 1, 2, 1], [3, 193, 3, 2], [4, 193, 1, 2], [6, 193, 2, 1], [6, 193, 3, 2], [8, 193, 1, 4], [12, 193, 2, 2], [12, 193, 3, 4], [16, 193, 1, 8], [24, 193, 2, 4], [24, 193, 3, 8], [32, 193, 1, 16], [48, 193, 2, 8], [48, 193, 3, 16], [64, 193, 1, 32], [96, 193, 2, 16], [96, 193, 3, 32], [192, 193, 2, 32], [192, 193, 3, 64], [193, 192, 1, 1], [579, 192, 2, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{579}.C_{96}.C_2^2', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 6, 'autcent_group': '6.1', 'autcent_hash': 1, 'autcent_nilpotent': False, 'autcent_order': 6, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'S_3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 37056, 'autcentquo_group': '37056.a', 'autcentquo_hash': 1432757702296672986, 'autcentquo_nilpotent': False, 'autcentquo_order': 37056, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_{193}', 'cc_stats': [[1, 1, 1], [2, 193, 1], [3, 1, 2], [3, 193, 6], [4, 193, 2], [6, 193, 8], [8, 193, 4], [12, 193, 16], [16, 193, 8], [24, 193, 32], [32, 193, 16], [48, 193, 64], [64, 193, 32], [96, 193, 128], [192, 193, 256], [193, 192, 1], [579, 192, 2]], 'center_label': '3.1', 'center_order': 3, 'central_product': True, 'central_quotient': '37056.a', 'commutator_count': 1, 'commutator_label': '193.1', 'complements_known': True, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '193.1'], 'composition_length': 9, 'conjugacy_classes_known': True, 'counter': 1, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['37056.a', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 193, 1, 1], [3, 1, 2, 1], [3, 193, 2, 3], [4, 193, 2, 1], [6, 193, 2, 4], [8, 193, 4, 1], [12, 193, 4, 4], [16, 193, 8, 1], [24, 193, 8, 4], [32, 193, 16, 1], [48, 193, 16, 4], [64, 193, 32, 1], [96, 193, 32, 4], [192, 193, 64, 4], [193, 192, 1, 1], [579, 192, 2, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 24576, 'exponent': 37056, 'exponents_of_order': [6, 2, 1], 'factors_of_aut_order': [2, 3, 193], 'factors_of_order': [2, 3, 193], 'faithful_reps': [[192, 0, 2]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '111168.a', 'hash': 2544430592072231885, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 37056, 'inner_gen_orders': [192, 193], 'inner_gens': [[1, 28416], [82945, 192]], 'inner_hash': 1432757702296672986, 'inner_nilpotent': False, 'inner_order': 37056, 'inner_split': True, 'inner_tex': 'F_{193}', 'inner_used': [1, 2], 'irrC_degree': 192, 'irrQ_degree': 384, 'irrQ_dim': 384, 'irrR_degree': None, 'irrep_stats': [[1, 576], [192, 3]], 'label': '111168.a', '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': 'C3*F193', 'ngens': 9, '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, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 258, 'number_characteristic_subgroups': 23, 'number_conjugacy_classes': 579, 'number_divisions': 37, 'number_normal_subgroups': 44, 'number_subgroup_autclasses': 56, 'number_subgroup_classes': 84, 'number_subgroups': 7764, 'old_label': None, 'order': 111168, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 193], [3, 1160], [4, 386], [6, 1544], [8, 772], [12, 3088], [16, 1544], [24, 6176], [32, 3088], [48, 12352], [64, 6176], [96, 24704], [192, 49408], [193, 192], [579, 384]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [2, 3], 'outer_gen_pows': [0, 0], 'outer_gens': [[37057, 110976], [74113, 192]], 'outer_group': '6.1', 'outer_hash': 1, 'outer_nilpotent': False, 'outer_order': 6, 'outer_permdeg': 3, 'outer_perms': [1, 4], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'S_3', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 196, 'pgroup': 0, 'primary_abelian_invariants': [64, 3, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 9], [4, 5], [8, 5], [16, 5], [32, 5], [64, 4], [192, 1], [384, 1]], 'representations': {'PC': {'code': '43023836931081284013122713998333971413484062145605317493274726077956947008935476624168211114647392625691859060173537147616629038650528127', 'gens': [1, 8], 'pres': [9, -2, -2, -2, -2, -2, -2, -3, -3, -193, 18, 46, 74, 102, 130, 158, 2045959, 3324688, 1175065, 654946, 42379, 36772, 59893, 286, 6905096, 2216177, 1714634, 1084787, 142928, 123983, 61298]}, 'GLFp': {'d': 2, 'p': 193, 'gens': [201293672, 7189251, 776418240]}, 'Perm': {'d': 196, 'gens': [26998242104082005447251696691331464774121971917348421755781267835361429941668435221333290080630207260549917888723056059763539993175776658074908879762949012617169070415501257720842862810632964336955359428101490488135920181880491972015344559396903845870899558118113549760267322033639158277229321994017930485074559887727912882386576752937183479668551985879937835304, 2631778338730623662950964945824670653980764756662906445448946890283312750222914027144913759101874195455749646321665281014480436912763364625294578572203894275170402936839769371092982389742011367078542571256093075126368574007362860032302134699363967331838336966533207438392507094484694472919274785125127394266993739467967407942441269210233369459195139463953392461104, 53651049977427163004782649094143068173087154853604693633795859769783469643879806996027569149175074794409538134264301490310872601961150471788286697107340058590630568151646039445332768032894779979465847323816958134956968491642077503940495849602428272197081574774182305031506649821005649262198902553255728399362769286478552688840974860927203438716481864507921529723]}}, 'schur_multiplier': [3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 192], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3\\times F_{193}', 'transitive_degree': 579, '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: 105851505
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 1, 'group_order': 111168, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 105851616
    {'aut_label': '2A', 'centralizer': '193.a1.a1', 'counter': 2, 'group_counter': 1, 'group_order': 111168, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 96, 'size': 193}
  • id: 105851727
    {'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 1, 'group_order': 111168, 'label': '3A1', 'order': 3, 'powers': [4, 1, 3], 'representative': 37056, 'size': 1}
  • id: 105851838
    {'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 1, 'group_order': 111168, 'label': '3A-1', 'order': 3, 'powers': [3, 1, 4], 'representative': 74112, 'size': 1}
  • id: 105851949
    {'aut_label': '3B1', 'centralizer': '193.a1.a1', 'counter': 5, 'group_counter': 1, 'group_order': 111168, 'label': '3B1', 'order': 3, 'powers': [6, 1, 5], 'representative': 64, 'size': 193}
  • id: 105852040
    {'aut_label': '3B-1', 'centralizer': '193.a1.a1', 'counter': 6, 'group_counter': 1, 'group_order': 111168, 'label': '3B-1', 'order': 3, 'powers': [5, 1, 6], 'representative': 128, 'size': 193}
  • id: 105852051
    {'aut_label': '3B1', 'centralizer': '193.a1.a1', 'counter': 7, 'group_counter': 1, 'group_order': 111168, 'label': '3C1', 'order': 3, 'powers': [8, 1, 7], 'representative': 35968, 'size': 193}
  • id: 105852062
    {'aut_label': '3B-1', 'centralizer': '193.a1.a1', 'counter': 8, 'group_counter': 1, 'group_order': 111168, 'label': '3C-1', 'order': 3, 'powers': [7, 1, 8], 'representative': 87488, 'size': 193}
  • id: 105852073
    {'aut_label': '3B1', 'centralizer': '193.a1.a1', 'counter': 9, 'group_counter': 1, 'group_order': 111168, 'label': '3D1', 'order': 3, 'powers': [10, 1, 9], 'representative': 71872, 'size': 193}
  • id: 105851506
    {'aut_label': '3B-1', 'centralizer': '193.a1.a1', 'counter': 10, 'group_counter': 1, 'group_order': 111168, 'label': '3D-1', 'order': 3, 'powers': [9, 1, 10], 'representative': 63680, 'size': 193}
  • id: 105851517
    {'aut_label': '4A1', 'centralizer': '193.a1.a1', 'counter': 11, 'group_counter': 1, 'group_order': 111168, 'label': '4A1', 'order': 4, 'powers': [2, 12, 11], 'representative': 48, 'size': 193}
  • id: 105851528
    {'aut_label': '4A-1', 'centralizer': '193.a1.a1', 'counter': 12, 'group_counter': 1, 'group_order': 111168, 'label': '4A-1', 'order': 4, 'powers': [2, 11, 12], 'representative': 144, 'size': 193}
  • id: 105851539
    {'aut_label': '6A1', 'centralizer': '193.a1.a1', 'counter': 13, 'group_counter': 1, 'group_order': 111168, 'label': '6A1', 'order': 6, 'powers': [5, 2, 13], 'representative': 32, 'size': 193}
  • id: 105851550
    {'aut_label': '6A-1', 'centralizer': '193.a1.a1', 'counter': 14, 'group_counter': 1, 'group_order': 111168, 'label': '6A-1', 'order': 6, 'powers': [6, 2, 14], 'representative': 160, 'size': 193}
  • id: 105851561
    {'aut_label': '6A1', 'centralizer': '193.a1.a1', 'counter': 15, 'group_counter': 1, 'group_order': 111168, 'label': '6B1', 'order': 6, 'powers': [7, 2, 15], 'representative': 68960, 'size': 193}
  • id: 105851572
    {'aut_label': '6A-1', 'centralizer': '193.a1.a1', 'counter': 16, 'group_counter': 1, 'group_order': 111168, 'label': '6B-1', 'order': 6, 'powers': [8, 2, 16], 'representative': 46432, 'size': 193}
  • id: 105851583
    {'aut_label': '6A1', 'centralizer': '193.a1.a1', 'counter': 17, 'group_counter': 1, 'group_order': 111168, 'label': '6C1', 'order': 6, 'powers': [9, 2, 17], 'representative': 26720, 'size': 193}
  • id: 105851594
    {'aut_label': '6A-1', 'centralizer': '193.a1.a1', 'counter': 18, 'group_counter': 1, 'group_order': 111168, 'label': '6C-1', 'order': 6, 'powers': [10, 2, 18], 'representative': 92704, 'size': 193}
  • id: 105851605
    {'aut_label': '6D1', 'centralizer': '193.a1.a1', 'counter': 19, 'group_counter': 1, 'group_order': 111168, 'label': '6D1', 'order': 6, 'powers': [3, 2, 19], 'representative': 43680, 'size': 193}
  • id: 105851617
    {'aut_label': '6D1', 'centralizer': '193.a1.a1', 'counter': 20, 'group_counter': 1, 'group_order': 111168, 'label': '6D-1', 'order': 6, 'powers': [4, 2, 20], 'representative': 6624, 'size': 193}
  • id: 105851628
    {'aut_label': '8A1', 'centralizer': '193.a1.a1', 'counter': 21, 'group_counter': 1, 'group_order': 111168, 'label': '8A1', 'order': 8, 'powers': [11, 23, 21], 'representative': 24, 'size': 193}
  • id: 105851639
    {'aut_label': '8A-1', 'centralizer': '193.a1.a1', 'counter': 22, 'group_counter': 1, 'group_order': 111168, 'label': '8A-1', 'order': 8, 'powers': [12, 24, 22], 'representative': 168, 'size': 193}
  • id: 105851650
    {'aut_label': '8A3', 'centralizer': '193.a1.a1', 'counter': 23, 'group_counter': 1, 'group_order': 111168, 'label': '8A3', 'order': 8, 'powers': [12, 21, 23], 'representative': 72, 'size': 193}
  • id: 105851661
    {'aut_label': '8A-3', 'centralizer': '193.a1.a1', 'counter': 24, 'group_counter': 1, 'group_order': 111168, 'label': '8A-3', 'order': 8, 'powers': [11, 22, 24], 'representative': 120, 'size': 193}
  • id: 105851672
    {'aut_label': '12A1', 'centralizer': '193.a1.a1', 'counter': 25, 'group_counter': 1, 'group_order': 111168, 'label': '12A1', 'order': 12, 'powers': [13, 11, 25], 'representative': 16, 'size': 193}
  • id: 105851683
    {'aut_label': '12A-1', 'centralizer': '193.a1.a1', 'counter': 26, 'group_counter': 1, 'group_order': 111168, 'label': '12A-1', 'order': 12, 'powers': [14, 12, 26], 'representative': 176, 'size': 193}
  • id: 105851694
    {'aut_label': '12A5', 'centralizer': '193.a1.a1', 'counter': 27, 'group_counter': 1, 'group_order': 111168, 'label': '12A5', 'order': 12, 'powers': [14, 11, 27], 'representative': 80, 'size': 193}
  • id: 105851705
    {'aut_label': '12A-5', 'centralizer': '193.a1.a1', 'counter': 28, 'group_counter': 1, 'group_order': 111168, 'label': '12A-5', 'order': 12, 'powers': [13, 12, 28], 'representative': 112, 'size': 193}
  • id: 105851716
    {'aut_label': '12A1', 'centralizer': '193.a1.a1', 'counter': 29, 'group_counter': 1, 'group_order': 111168, 'label': '12B1', 'order': 12, 'powers': [15, 11, 29], 'representative': 65872, 'size': 193}
  • id: 105851728
    {'aut_label': '12A-1', 'centralizer': '193.a1.a1', 'counter': 30, 'group_counter': 1, 'group_order': 111168, 'label': '12B-1', 'order': 12, 'powers': [16, 12, 30], 'representative': 110000, 'size': 193}
  • id: 105851739
    {'aut_label': '12A5', 'centralizer': '193.a1.a1', 'counter': 31, 'group_counter': 1, 'group_order': 111168, 'label': '12B5', 'order': 12, 'powers': [16, 11, 31], 'representative': 46544, 'size': 193}
  • id: 105851750
    {'aut_label': '12A-5', 'centralizer': '193.a1.a1', 'counter': 32, 'group_counter': 1, 'group_order': 111168, 'label': '12B-5', 'order': 12, 'powers': [15, 12, 32], 'representative': 16432, 'size': 193}
  • id: 105851761
    {'aut_label': '12A1', 'centralizer': '193.a1.a1', 'counter': 33, 'group_counter': 1, 'group_order': 111168, 'label': '12C1', 'order': 12, 'powers': [17, 11, 33], 'representative': 20560, 'size': 193}
  • id: 105851772
    {'aut_label': '12A-1', 'centralizer': '193.a1.a1', 'counter': 34, 'group_counter': 1, 'group_order': 111168, 'label': '12C-1', 'order': 12, 'powers': [18, 12, 34], 'representative': 108656, 'size': 193}
  • id: 105851783
    {'aut_label': '12A5', 'centralizer': '193.a1.a1', 'counter': 35, 'group_counter': 1, 'group_order': 111168, 'label': '12C5', 'order': 12, 'powers': [18, 11, 35], 'representative': 93008, 'size': 193}
  • id: 105851794
    {'aut_label': '12A-5', 'centralizer': '193.a1.a1', 'counter': 36, 'group_counter': 1, 'group_order': 111168, 'label': '12C-5', 'order': 12, 'powers': [17, 12, 36], 'representative': 32752, 'size': 193}
  • id: 105851805
    {'aut_label': '12D1', 'centralizer': '193.a1.a1', 'counter': 37, 'group_counter': 1, 'group_order': 111168, 'label': '12D1', 'order': 12, 'powers': [19, 11, 37], 'representative': 35472, 'size': 193}
  • id: 105851816
    {'aut_label': '12D-1', 'centralizer': '193.a1.a1', 'counter': 38, 'group_counter': 1, 'group_order': 111168, 'label': '12D-1', 'order': 12, 'powers': [20, 12, 38], 'representative': 45360, 'size': 193}
  • id: 105851827
    {'aut_label': '12D1', 'centralizer': '193.a1.a1', 'counter': 39, 'group_counter': 1, 'group_order': 111168, 'label': '12D5', 'order': 12, 'powers': [20, 11, 39], 'representative': 72528, 'size': 193}
  • id: 105851839
    {'aut_label': '12D-1', 'centralizer': '193.a1.a1', 'counter': 40, 'group_counter': 1, 'group_order': 111168, 'label': '12D-5', 'order': 12, 'powers': [19, 12, 40], 'representative': 8304, 'size': 193}
  • id: 105851850
    {'aut_label': '16A1', 'centralizer': '193.a1.a1', 'counter': 41, 'group_counter': 1, 'group_order': 111168, 'label': '16A1', 'order': 16, 'powers': [21, 43, 41], 'representative': 12, 'size': 193}
  • id: 105851861
    {'aut_label': '16A-1', 'centralizer': '193.a1.a1', 'counter': 42, 'group_counter': 1, 'group_order': 111168, 'label': '16A-1', 'order': 16, 'powers': [22, 44, 42], 'representative': 180, 'size': 193}
  • id: 105851872
    {'aut_label': '16A3', 'centralizer': '193.a1.a1', 'counter': 43, 'group_counter': 1, 'group_order': 111168, 'label': '16A3', 'order': 16, 'powers': [23, 48, 43], 'representative': 36, 'size': 193}
  • id: 105851883
    {'aut_label': '16A-3', 'centralizer': '193.a1.a1', 'counter': 44, 'group_counter': 1, 'group_order': 111168, 'label': '16A-3', 'order': 16, 'powers': [24, 47, 44], 'representative': 156, 'size': 193}
  • id: 105851894
    {'aut_label': '16A5', 'centralizer': '193.a1.a1', 'counter': 45, 'group_counter': 1, 'group_order': 111168, 'label': '16A5', 'order': 16, 'powers': [24, 42, 45], 'representative': 60, 'size': 193}
  • id: 105851905
    {'aut_label': '16A-5', 'centralizer': '193.a1.a1', 'counter': 46, 'group_counter': 1, 'group_order': 111168, 'label': '16A-5', 'order': 16, 'powers': [23, 41, 46], 'representative': 132, 'size': 193}
  • id: 105851916
    {'aut_label': '16A7', 'centralizer': '193.a1.a1', 'counter': 47, 'group_counter': 1, 'group_order': 111168, 'label': '16A7', 'order': 16, 'powers': [22, 45, 47], 'representative': 84, 'size': 193}
  • id: 105851927
    {'aut_label': '16A-7', 'centralizer': '193.a1.a1', 'counter': 48, 'group_counter': 1, 'group_order': 111168, 'label': '16A-7', 'order': 16, 'powers': [21, 46, 48], 'representative': 108, 'size': 193}
  • id: 105851938
    {'aut_label': '24A1', 'centralizer': '193.a1.a1', 'counter': 49, 'group_counter': 1, 'group_order': 111168, 'label': '24A1', 'order': 24, 'powers': [25, 21, 49], 'representative': 8, 'size': 193}
  • id: 105851950
    {'aut_label': '24A-1', 'centralizer': '193.a1.a1', 'counter': 50, 'group_counter': 1, 'group_order': 111168, 'label': '24A-1', 'order': 24, 'powers': [26, 22, 50], 'representative': 184, 'size': 193}
  • id: 105851961
    {'aut_label': '24A5', 'centralizer': '193.a1.a1', 'counter': 51, 'group_counter': 1, 'group_order': 111168, 'label': '24A5', 'order': 24, 'powers': [27, 24, 51], 'representative': 40, 'size': 193}
  • id: 105851972
    {'aut_label': '24A-5', 'centralizer': '193.a1.a1', 'counter': 52, 'group_counter': 1, 'group_order': 111168, 'label': '24A-5', 'order': 24, 'powers': [28, 23, 52], 'representative': 152, 'size': 193}
  • id: 105851983
    {'aut_label': '24A7', 'centralizer': '193.a1.a1', 'counter': 53, 'group_counter': 1, 'group_order': 111168, 'label': '24A7', 'order': 24, 'powers': [28, 22, 53], 'representative': 56, 'size': 193}
  • id: 105851994
    {'aut_label': '24A-7', 'centralizer': '193.a1.a1', 'counter': 54, 'group_counter': 1, 'group_order': 111168, 'label': '24A-7', 'order': 24, 'powers': [27, 21, 54], 'representative': 136, 'size': 193}
  • id: 105852005
    {'aut_label': '24A11', 'centralizer': '193.a1.a1', 'counter': 55, 'group_counter': 1, 'group_order': 111168, 'label': '24A11', 'order': 24, 'powers': [26, 23, 55], 'representative': 88, 'size': 193}
  • id: 105852016
    {'aut_label': '24A-11', 'centralizer': '193.a1.a1', 'counter': 56, 'group_counter': 1, 'group_order': 111168, 'label': '24A-11', 'order': 24, 'powers': [25, 24, 56], 'representative': 104, 'size': 193}
  • id: 105852027
    {'aut_label': '24A1', 'centralizer': '193.a1.a1', 'counter': 57, 'group_counter': 1, 'group_order': 111168, 'label': '24B1', 'order': 24, 'powers': [29, 21, 57], 'representative': 106376, 'size': 193}
  • id: 105852038
    {'aut_label': '24A-1', 'centralizer': '193.a1.a1', 'counter': 58, 'group_counter': 1, 'group_order': 111168, 'label': '24B-1', 'order': 24, 'powers': [30, 22, 58], 'representative': 41848, 'size': 193}
  • id: 105852039
    {'aut_label': '24A5', 'centralizer': '193.a1.a1', 'counter': 59, 'group_counter': 1, 'group_order': 111168, 'label': '24B5', 'order': 24, 'powers': [31, 24, 59], 'representative': 105640, 'size': 193}
  • id: 105852041
    {'aut_label': '24A-5', 'centralizer': '193.a1.a1', 'counter': 60, 'group_counter': 1, 'group_order': 111168, 'label': '24B-5', 'order': 24, 'powers': [32, 23, 60], 'representative': 29912, 'size': 193}
  • id: 105852042
    {'aut_label': '24A7', 'centralizer': '193.a1.a1', 'counter': 61, 'group_counter': 1, 'group_order': 111168, 'label': '24B7', 'order': 24, 'powers': [32, 22, 61], 'representative': 15416, 'size': 193}
  • id: 105852043
    {'aut_label': '24A-7', 'centralizer': '193.a1.a1', 'counter': 62, 'group_counter': 1, 'group_order': 111168, 'label': '24B-7', 'order': 24, 'powers': [31, 21, 62], 'representative': 87880, 'size': 193}
  • id: 105852044
    {'aut_label': '24A11', 'centralizer': '193.a1.a1', 'counter': 63, 'group_counter': 1, 'group_order': 111168, 'label': '24B11', 'order': 24, 'powers': [30, 23, 63], 'representative': 40600, 'size': 193}
  • id: 105852045
    {'aut_label': '24A-11', 'centralizer': '193.a1.a1', 'counter': 64, 'group_counter': 1, 'group_order': 111168, 'label': '24B-11', 'order': 24, 'powers': [29, 24, 64], 'representative': 50024, 'size': 193}
  • id: 105852046
    {'aut_label': '24A1', 'centralizer': '193.a1.a1', 'counter': 65, 'group_counter': 1, 'group_order': 111168, 'label': '24C1', 'order': 24, 'powers': [33, 21, 65], 'representative': 101576, 'size': 193}
  • id: 105852047
    {'aut_label': '24A-1', 'centralizer': '193.a1.a1', 'counter': 66, 'group_counter': 1, 'group_order': 111168, 'label': '24C-1', 'order': 24, 'powers': [34, 22, 66], 'representative': 83512, 'size': 193}
  • id: 105852048
    {'aut_label': '24A5', 'centralizer': '193.a1.a1', 'counter': 67, 'group_counter': 1, 'group_order': 111168, 'label': '24C5', 'order': 24, 'powers': [35, 24, 67], 'representative': 100072, 'size': 193}
  • id: 105852049
    {'aut_label': '24A-5', 'centralizer': '193.a1.a1', 'counter': 68, 'group_counter': 1, 'group_order': 111168, 'label': '24C-5', 'order': 24, 'powers': [36, 23, 68], 'representative': 59672, 'size': 193}
  • id: 105852050
    {'aut_label': '24A7', 'centralizer': '193.a1.a1', 'counter': 69, 'group_counter': 1, 'group_order': 111168, 'label': '24C7', 'order': 24, 'powers': [36, 22, 69], 'representative': 30776, 'size': 193}
  • id: 105852052
    {'aut_label': '24A-7', 'centralizer': '193.a1.a1', 'counter': 70, 'group_counter': 1, 'group_order': 111168, 'label': '24C-7', 'order': 24, 'powers': [35, 21, 70], 'representative': 64456, 'size': 193}
  • id: 105852053
    {'aut_label': '24A11', 'centralizer': '193.a1.a1', 'counter': 71, 'group_counter': 1, 'group_order': 111168, 'label': '24C11', 'order': 24, 'powers': [34, 23, 71], 'representative': 81112, 'size': 193}
  • id: 105852054
    {'aut_label': '24A-11', 'centralizer': '193.a1.a1', 'counter': 72, 'group_counter': 1, 'group_order': 111168, 'label': '24C-11', 'order': 24, 'powers': [33, 24, 72], 'representative': 99944, 'size': 193}
  • id: 105852055
    {'aut_label': '24D1', 'centralizer': '193.a1.a1', 'counter': 73, 'group_counter': 1, 'group_order': 111168, 'label': '24D1', 'order': 24, 'powers': [37, 21, 73], 'representative': 32712, 'size': 193}
  • id: 105852056
    {'aut_label': '24D-1', 'centralizer': '193.a1.a1', 'counter': 74, 'group_counter': 1, 'group_order': 111168, 'label': '24D-1', 'order': 24, 'powers': [38, 22, 74], 'representative': 32568, 'size': 193}
  • id: 105852057
    {'aut_label': '24D5', 'centralizer': '193.a1.a1', 'counter': 75, 'group_counter': 1, 'group_order': 111168, 'label': '24D5', 'order': 24, 'powers': [39, 24, 75], 'representative': 48168, 'size': 193}
  • id: 105852058
    {'aut_label': '24D-5', 'centralizer': '193.a1.a1', 'counter': 76, 'group_counter': 1, 'group_order': 111168, 'label': '24D-5', 'order': 24, 'powers': [40, 23, 76], 'representative': 48216, 'size': 193}
  • id: 105852059
    {'aut_label': '24D-1', 'centralizer': '193.a1.a1', 'counter': 77, 'group_counter': 1, 'group_order': 111168, 'label': '24D7', 'order': 24, 'powers': [40, 22, 77], 'representative': 69624, 'size': 193}
  • id: 105852060
    {'aut_label': '24D1', 'centralizer': '193.a1.a1', 'counter': 78, 'group_counter': 1, 'group_order': 111168, 'label': '24D-7', 'order': 24, 'powers': [39, 21, 78], 'representative': 106824, 'size': 193}
  • id: 105852061
    {'aut_label': '24D-5', 'centralizer': '193.a1.a1', 'counter': 79, 'group_counter': 1, 'group_order': 111168, 'label': '24D11', 'order': 24, 'powers': [38, 23, 79], 'representative': 11160, 'size': 193}
  • id: 105852063
    {'aut_label': '24D5', 'centralizer': '193.a1.a1', 'counter': 80, 'group_counter': 1, 'group_order': 111168, 'label': '24D-11', 'order': 24, 'powers': [37, 24, 80], 'representative': 85224, 'size': 193}
  • id: 105852064
    {'aut_label': '32A1', 'centralizer': '193.a1.a1', 'counter': 81, 'group_counter': 1, 'group_order': 111168, 'label': '32A1', 'order': 32, 'powers': [41, 83, 81], 'representative': 6, 'size': 193}
  • id: 105852065
    {'aut_label': '32A-1', 'centralizer': '193.a1.a1', 'counter': 82, 'group_counter': 1, 'group_order': 111168, 'label': '32A-1', 'order': 32, 'powers': [42, 84, 82], 'representative': 186, 'size': 193}
  • id: 105852066
    {'aut_label': '32A3', 'centralizer': '193.a1.a1', 'counter': 83, 'group_counter': 1, 'group_order': 111168, 'label': '32A3', 'order': 32, 'powers': [43, 89, 83], 'representative': 18, 'size': 193}
  • id: 105852067
    {'aut_label': '32A-3', 'centralizer': '193.a1.a1', 'counter': 84, 'group_counter': 1, 'group_order': 111168, 'label': '32A-3', 'order': 32, 'powers': [44, 90, 84], 'representative': 174, 'size': 193}
  • id: 105852068
    {'aut_label': '32A5', 'centralizer': '193.a1.a1', 'counter': 85, 'group_counter': 1, 'group_order': 111168, 'label': '32A5', 'order': 32, 'powers': [45, 95, 85], 'representative': 30, 'size': 193}
  • id: 105852069
    {'aut_label': '32A-5', 'centralizer': '193.a1.a1', 'counter': 86, 'group_counter': 1, 'group_order': 111168, 'label': '32A-5', 'order': 32, 'powers': [46, 96, 86], 'representative': 162, 'size': 193}
  • id: 105852070
    {'aut_label': '32A7', 'centralizer': '193.a1.a1', 'counter': 87, 'group_counter': 1, 'group_order': 111168, 'label': '32A7', 'order': 32, 'powers': [47, 92, 87], 'representative': 42, 'size': 193}
  • id: 105852071
    {'aut_label': '32A-7', 'centralizer': '193.a1.a1', 'counter': 88, 'group_counter': 1, 'group_order': 111168, 'label': '32A-7', 'order': 32, 'powers': [48, 91, 88], 'representative': 150, 'size': 193}
  • id: 105852072
    {'aut_label': '32A9', 'centralizer': '193.a1.a1', 'counter': 89, 'group_counter': 1, 'group_order': 111168, 'label': '32A9', 'order': 32, 'powers': [48, 86, 89], 'representative': 54, 'size': 193}
  • id: 105852074
    {'aut_label': '32A-9', 'centralizer': '193.a1.a1', 'counter': 90, 'group_counter': 1, 'group_order': 111168, 'label': '32A-9', 'order': 32, 'powers': [47, 85, 90], 'representative': 138, 'size': 193}
  • id: 105852075
    {'aut_label': '32A11', 'centralizer': '193.a1.a1', 'counter': 91, 'group_counter': 1, 'group_order': 111168, 'label': '32A11', 'order': 32, 'powers': [46, 81, 91], 'representative': 66, 'size': 193}
  • id: 105852076
    {'aut_label': '32A-11', 'centralizer': '193.a1.a1', 'counter': 92, 'group_counter': 1, 'group_order': 111168, 'label': '32A-11', 'order': 32, 'powers': [45, 82, 92], 'representative': 126, 'size': 193}
  • id: 105852077
    {'aut_label': '32A13', 'centralizer': '193.a1.a1', 'counter': 93, 'group_counter': 1, 'group_order': 111168, 'label': '32A13', 'order': 32, 'powers': [44, 87, 93], 'representative': 78, 'size': 193}
  • id: 105852078
    {'aut_label': '32A-13', 'centralizer': '193.a1.a1', 'counter': 94, 'group_counter': 1, 'group_order': 111168, 'label': '32A-13', 'order': 32, 'powers': [43, 88, 94], 'representative': 114, 'size': 193}
  • id: 105852079
    {'aut_label': '32A15', 'centralizer': '193.a1.a1', 'counter': 95, 'group_counter': 1, 'group_order': 111168, 'label': '32A15', 'order': 32, 'powers': [42, 93, 95], 'representative': 90, 'size': 193}
  • id: 105852080
    {'aut_label': '32A-15', 'centralizer': '193.a1.a1', 'counter': 96, 'group_counter': 1, 'group_order': 111168, 'label': '32A-15', 'order': 32, 'powers': [41, 94, 96], 'representative': 102, 'size': 193}
  • id: 105852081
    {'aut_label': '48A1', 'centralizer': '193.a1.a1', 'counter': 97, 'group_counter': 1, 'group_order': 111168, 'label': '48A1', 'order': 48, 'powers': [49, 41, 97], 'representative': 4, 'size': 193}
  • id: 105852082
    {'aut_label': '48A-1', 'centralizer': '193.a1.a1', 'counter': 98, 'group_counter': 1, 'group_order': 111168, 'label': '48A-1', 'order': 48, 'powers': [50, 42, 98], 'representative': 188, 'size': 193}
  • id: 105852083
    {'aut_label': '48A5', 'centralizer': '193.a1.a1', 'counter': 99, 'group_counter': 1, 'group_order': 111168, 'label': '48A5', 'order': 48, 'powers': [51, 45, 99], 'representative': 20, 'size': 193}
  • id: 105851507
    {'aut_label': '48A-5', 'centralizer': '193.a1.a1', 'counter': 100, 'group_counter': 1, 'group_order': 111168, 'label': '48A-5', 'order': 48, 'powers': [52, 46, 100], 'representative': 172, 'size': 193}
  • id: 105851508
    {'aut_label': '48A7', 'centralizer': '193.a1.a1', 'counter': 101, 'group_counter': 1, 'group_order': 111168, 'label': '48A7', 'order': 48, 'powers': [53, 47, 101], 'representative': 28, 'size': 193}
  • id: 105851509
    {'aut_label': '48A-7', 'centralizer': '193.a1.a1', 'counter': 102, 'group_counter': 1, 'group_order': 111168, 'label': '48A-7', 'order': 48, 'powers': [54, 48, 102], 'representative': 164, 'size': 193}
  • id: 105851510
    {'aut_label': '48A11', 'centralizer': '193.a1.a1', 'counter': 103, 'group_counter': 1, 'group_order': 111168, 'label': '48A11', 'order': 48, 'powers': [55, 46, 103], 'representative': 44, 'size': 193}
  • id: 105851511
    {'aut_label': '48A-11', 'centralizer': '193.a1.a1', 'counter': 104, 'group_counter': 1, 'group_order': 111168, 'label': '48A-11', 'order': 48, 'powers': [56, 45, 104], 'representative': 148, 'size': 193}
  • id: 105851512
    {'aut_label': '48A13', 'centralizer': '193.a1.a1', 'counter': 105, 'group_counter': 1, 'group_order': 111168, 'label': '48A13', 'order': 48, 'powers': [56, 44, 105], 'representative': 52, 'size': 193}
  • id: 105851513
    {'aut_label': '48A-13', 'centralizer': '193.a1.a1', 'counter': 106, 'group_counter': 1, 'group_order': 111168, 'label': '48A-13', 'order': 48, 'powers': [55, 43, 106], 'representative': 140, 'size': 193}
  • id: 105851514
    {'aut_label': '48A17', 'centralizer': '193.a1.a1', 'counter': 107, 'group_counter': 1, 'group_order': 111168, 'label': '48A17', 'order': 48, 'powers': [54, 41, 107], 'representative': 68, 'size': 193}
  • id: 105851515
    {'aut_label': '48A-17', 'centralizer': '193.a1.a1', 'counter': 108, 'group_counter': 1, 'group_order': 111168, 'label': '48A-17', 'order': 48, 'powers': [53, 42, 108], 'representative': 124, 'size': 193}
  • id: 105851516
    {'aut_label': '48A19', 'centralizer': '193.a1.a1', 'counter': 109, 'group_counter': 1, 'group_order': 111168, 'label': '48A19', 'order': 48, 'powers': [52, 43, 109], 'representative': 76, 'size': 193}
  • id: 105851518
    {'aut_label': '48A-19', 'centralizer': '193.a1.a1', 'counter': 110, 'group_counter': 1, 'group_order': 111168, 'label': '48A-19', 'order': 48, 'powers': [51, 44, 110], 'representative': 116, 'size': 193}
  • id: 105851519
    {'aut_label': '48A23', 'centralizer': '193.a1.a1', 'counter': 111, 'group_counter': 1, 'group_order': 111168, 'label': '48A23', 'order': 48, 'powers': [50, 47, 111], 'representative': 92, 'size': 193}
  • id: 105851520
    {'aut_label': '48A-23', 'centralizer': '193.a1.a1', 'counter': 112, 'group_counter': 1, 'group_order': 111168, 'label': '48A-23', 'order': 48, 'powers': [49, 48, 112], 'representative': 100, 'size': 193}
  • id: 105851521
    {'aut_label': '48A1', 'centralizer': '193.a1.a1', 'counter': 113, 'group_counter': 1, 'group_order': 111168, 'label': '48B1', 'order': 48, 'powers': [57, 41, 113], 'representative': 4228, 'size': 193}
  • id: 105851522
    {'aut_label': '48A-1', 'centralizer': '193.a1.a1', 'counter': 114, 'group_counter': 1, 'group_order': 111168, 'label': '48B-1', 'order': 48, 'powers': [58, 42, 114], 'representative': 51836, 'size': 193}
  • id: 105851523
    {'aut_label': '48A5', 'centralizer': '193.a1.a1', 'counter': 115, 'group_counter': 1, 'group_order': 111168, 'label': '48B5', 'order': 48, 'powers': [59, 45, 115], 'representative': 50516, 'size': 193}
  • id: 105851524
    {'aut_label': '48A-5', 'centralizer': '193.a1.a1', 'counter': 116, 'group_counter': 1, 'group_order': 111168, 'label': '48B-5', 'order': 48, 'powers': [60, 46, 116], 'representative': 42988, 'size': 193}
  • id: 105851525
    {'aut_label': '48A7', 'centralizer': '193.a1.a1', 'counter': 117, 'group_counter': 1, 'group_order': 111168, 'label': '48B7', 'order': 48, 'powers': [61, 47, 117], 'representative': 12316, 'size': 193}
  • id: 105851526
    {'aut_label': '48A-7', 'centralizer': '193.a1.a1', 'counter': 118, 'group_counter': 1, 'group_order': 111168, 'label': '48B-7', 'order': 48, 'powers': [62, 48, 118], 'representative': 62180, 'size': 193}
  • id: 105851527
    {'aut_label': '48A11', 'centralizer': '193.a1.a1', 'counter': 119, 'group_counter': 1, 'group_order': 111168, 'label': '48B11', 'order': 48, 'powers': [63, 46, 119], 'representative': 1004, 'size': 193}
  • id: 105851529
    {'aut_label': '48A-11', 'centralizer': '193.a1.a1', 'counter': 120, 'group_counter': 1, 'group_order': 111168, 'label': '48B-11', 'order': 48, 'powers': [64, 45, 120], 'representative': 56788, 'size': 193}
  • id: 105851530
    {'aut_label': '48A13', 'centralizer': '193.a1.a1', 'counter': 121, 'group_counter': 1, 'group_order': 111168, 'label': '48B13', 'order': 48, 'powers': [64, 44, 121], 'representative': 25588, 'size': 193}
  • id: 105851531
    {'aut_label': '48A-13', 'centralizer': '193.a1.a1', 'counter': 122, 'group_counter': 1, 'group_order': 111168, 'label': '48B-13', 'order': 48, 'powers': [63, 43, 122], 'representative': 44300, 'size': 193}
  • id: 105851532
    {'aut_label': '48A17', 'centralizer': '193.a1.a1', 'counter': 123, 'group_counter': 1, 'group_order': 111168, 'label': '48B17', 'order': 48, 'powers': [62, 41, 123], 'representative': 94340, 'size': 193}
  • id: 105851533
    {'aut_label': '48A-17', 'centralizer': '193.a1.a1', 'counter': 124, 'group_counter': 1, 'group_order': 111168, 'label': '48B-17', 'order': 48, 'powers': [61, 42, 124], 'representative': 70012, 'size': 193}
  • id: 105851534
    {'aut_label': '48A19', 'centralizer': '193.a1.a1', 'counter': 125, 'group_counter': 1, 'group_order': 111168, 'label': '48B19', 'order': 48, 'powers': [60, 43, 125], 'representative': 39436, 'size': 193}
  • id: 105851535
    {'aut_label': '48A-19', 'centralizer': '193.a1.a1', 'counter': 126, 'group_counter': 1, 'group_order': 111168, 'label': '48B-19', 'order': 48, 'powers': [59, 44, 126], 'representative': 105908, 'size': 193}
  • id: 105851536
    {'aut_label': '48A23', 'centralizer': '193.a1.a1', 'counter': 127, 'group_counter': 1, 'group_order': 111168, 'label': '48B23', 'order': 48, 'powers': [58, 47, 127], 'representative': 104732, 'size': 193}
  • id: 105851537
    {'aut_label': '48A-23', 'centralizer': '193.a1.a1', 'counter': 128, 'group_counter': 1, 'group_order': 111168, 'label': '48B-23', 'order': 48, 'powers': [57, 48, 128], 'representative': 78052, 'size': 193}
  • id: 105851538
    {'aut_label': '48A1', 'centralizer': '193.a1.a1', 'counter': 129, 'group_counter': 1, 'group_order': 111168, 'label': '48C1', 'order': 48, 'powers': [65, 41, 129], 'representative': 8452, 'size': 193}
  • id: 105851540
    {'aut_label': '48A-1', 'centralizer': '193.a1.a1', 'counter': 130, 'group_counter': 1, 'group_order': 111168, 'label': '48C-1', 'order': 48, 'powers': [66, 42, 130], 'representative': 103484, 'size': 193}
  • id: 105851541
    {'aut_label': '48A5', 'centralizer': '193.a1.a1', 'counter': 131, 'group_counter': 1, 'group_order': 111168, 'label': '48C5', 'order': 48, 'powers': [67, 45, 131], 'representative': 101012, 'size': 193}
  • id: 105851542
    {'aut_label': '48A-5', 'centralizer': '193.a1.a1', 'counter': 132, 'group_counter': 1, 'group_order': 111168, 'label': '48C-5', 'order': 48, 'powers': [68, 46, 132], 'representative': 85804, 'size': 193}
  • id: 105851543
    {'aut_label': '48A7', 'centralizer': '193.a1.a1', 'counter': 133, 'group_counter': 1, 'group_order': 111168, 'label': '48C7', 'order': 48, 'powers': [69, 47, 133], 'representative': 24604, 'size': 193}
  • id: 105851544
    {'aut_label': '48A-7', 'centralizer': '193.a1.a1', 'counter': 134, 'group_counter': 1, 'group_order': 111168, 'label': '48C-7', 'order': 48, 'powers': [70, 48, 134], 'representative': 13028, 'size': 193}
  • id: 105851545
    {'aut_label': '48A11', 'centralizer': '193.a1.a1', 'counter': 135, 'group_counter': 1, 'group_order': 111168, 'label': '48C11', 'order': 48, 'powers': [71, 46, 135], 'representative': 1964, 'size': 193}
  • id: 105851546
    {'aut_label': '48A-11', 'centralizer': '193.a1.a1', 'counter': 136, 'group_counter': 1, 'group_order': 111168, 'label': '48C-11', 'order': 48, 'powers': [72, 45, 136], 'representative': 2260, 'size': 193}
  • id: 105851547
    {'aut_label': '48A13', 'centralizer': '193.a1.a1', 'counter': 137, 'group_counter': 1, 'group_order': 111168, 'label': '48C13', 'order': 48, 'powers': [72, 44, 137], 'representative': 51124, 'size': 193}
  • id: 105851548
    {'aut_label': '48A-13', 'centralizer': '193.a1.a1', 'counter': 138, 'group_counter': 1, 'group_order': 111168, 'label': '48C-13', 'order': 48, 'powers': [71, 43, 138], 'representative': 88460, 'size': 193}
  • id: 105851549
    {'aut_label': '48A17', 'centralizer': '193.a1.a1', 'counter': 139, 'group_counter': 1, 'group_order': 111168, 'label': '48C17', 'order': 48, 'powers': [70, 41, 139], 'representative': 77444, 'size': 193}
  • id: 105851551
    {'aut_label': '48A-17', 'centralizer': '193.a1.a1', 'counter': 140, 'group_counter': 1, 'group_order': 111168, 'label': '48C-17', 'order': 48, 'powers': [69, 42, 140], 'representative': 28732, 'size': 193}
  • id: 105851552
    {'aut_label': '48A19', 'centralizer': '193.a1.a1', 'counter': 141, 'group_counter': 1, 'group_order': 111168, 'label': '48C19', 'order': 48, 'powers': [68, 43, 141], 'representative': 78796, 'size': 193}
  • id: 105851553
    {'aut_label': '48A-19', 'centralizer': '193.a1.a1', 'counter': 142, 'group_counter': 1, 'group_order': 111168, 'label': '48C-19', 'order': 48, 'powers': [67, 44, 142], 'representative': 100532, 'size': 193}
  • id: 105851554
    {'aut_label': '48A23', 'centralizer': '193.a1.a1', 'counter': 143, 'group_counter': 1, 'group_order': 111168, 'label': '48C23', 'order': 48, 'powers': [66, 47, 143], 'representative': 98204, 'size': 193}
  • id: 105851555
    {'aut_label': '48A-23', 'centralizer': '193.a1.a1', 'counter': 144, 'group_counter': 1, 'group_order': 111168, 'label': '48C-23', 'order': 48, 'powers': [65, 48, 144], 'representative': 44836, 'size': 193}
  • id: 105851556
    {'aut_label': '48D1', 'centralizer': '193.a1.a1', 'counter': 145, 'group_counter': 1, 'group_order': 111168, 'label': '48D1', 'order': 48, 'powers': [73, 41, 145], 'representative': 62532, 'size': 193}
  • id: 105851557
    {'aut_label': '48D-1', 'centralizer': '193.a1.a1', 'counter': 146, 'group_counter': 1, 'group_order': 111168, 'label': '48D-1', 'order': 48, 'powers': [74, 42, 146], 'representative': 91452, 'size': 193}
  • id: 105851558
    {'aut_label': '48D5', 'centralizer': '193.a1.a1', 'counter': 147, 'group_counter': 1, 'group_order': 111168, 'label': '48D5', 'order': 48, 'powers': [75, 45, 147], 'representative': 13140, 'size': 193}
  • id: 105851559
    {'aut_label': '48D-5', 'centralizer': '193.a1.a1', 'counter': 148, 'group_counter': 1, 'group_order': 111168, 'label': '48D-5', 'order': 48, 'powers': [76, 46, 148], 'representative': 53868, 'size': 193}
  • id: 105851560
    {'aut_label': '48D7', 'centralizer': '193.a1.a1', 'counter': 149, 'group_counter': 1, 'group_order': 111168, 'label': '48D7', 'order': 48, 'powers': [77, 47, 149], 'representative': 100572, 'size': 193}
  • id: 105851562
    {'aut_label': '48D-7', 'centralizer': '193.a1.a1', 'counter': 150, 'group_counter': 1, 'group_order': 111168, 'label': '48D-7', 'order': 48, 'powers': [78, 48, 150], 'representative': 18276, 'size': 193}
  • id: 105851563
    {'aut_label': '48D-5', 'centralizer': '193.a1.a1', 'counter': 151, 'group_counter': 1, 'group_order': 111168, 'label': '48D11', 'order': 48, 'powers': [79, 46, 151], 'representative': 90924, 'size': 193}
  • id: 105851564
    {'aut_label': '48D5', 'centralizer': '193.a1.a1', 'counter': 152, 'group_counter': 1, 'group_order': 111168, 'label': '48D-11', 'order': 48, 'powers': [80, 45, 152], 'representative': 87252, 'size': 193}
  • id: 105851565
    {'aut_label': '48D13', 'centralizer': '193.a1.a1', 'counter': 153, 'group_counter': 1, 'group_order': 111168, 'label': '48D13', 'order': 48, 'powers': [80, 44, 153], 'representative': 67764, 'size': 193}
  • id: 105851566
    {'aut_label': '48D-13', 'centralizer': '193.a1.a1', 'counter': 154, 'group_counter': 1, 'group_order': 111168, 'label': '48D-13', 'order': 48, 'powers': [79, 43, 154], 'representative': 26892, 'size': 193}
  • id: 105851567
    {'aut_label': '48D1', 'centralizer': '193.a1.a1', 'counter': 155, 'group_counter': 1, 'group_order': 111168, 'label': '48D17', 'order': 48, 'powers': [78, 41, 155], 'representative': 99588, 'size': 193}
  • id: 105851568
    {'aut_label': '48D-1', 'centralizer': '193.a1.a1', 'counter': 156, 'group_counter': 1, 'group_order': 111168, 'label': '48D-17', 'order': 48, 'powers': [77, 42, 156], 'representative': 54396, 'size': 193}
  • id: 105851569
    {'aut_label': '48D-13', 'centralizer': '193.a1.a1', 'counter': 157, 'group_counter': 1, 'group_order': 111168, 'label': '48D19', 'order': 48, 'powers': [76, 43, 157], 'representative': 101004, 'size': 193}
  • id: 105851570
    {'aut_label': '48D13', 'centralizer': '193.a1.a1', 'counter': 158, 'group_counter': 1, 'group_order': 111168, 'label': '48D-19', 'order': 48, 'powers': [75, 44, 158], 'representative': 104820, 'size': 193}
  • id: 105851571
    {'aut_label': '48D7', 'centralizer': '193.a1.a1', 'counter': 159, 'group_counter': 1, 'group_order': 111168, 'label': '48D23', 'order': 48, 'powers': [74, 47, 159], 'representative': 26460, 'size': 193}
  • id: 105851573
    {'aut_label': '48D-7', 'centralizer': '193.a1.a1', 'counter': 160, 'group_counter': 1, 'group_order': 111168, 'label': '48D-23', 'order': 48, 'powers': [73, 48, 160], 'representative': 92388, 'size': 193}
  • id: 105851574
    {'aut_label': '64A1', 'centralizer': '193.a1.a1', 'counter': 161, 'group_counter': 1, 'group_order': 111168, 'label': '64A1', 'order': 64, 'powers': [81, 163, 161], 'representative': 3, 'size': 193}
  • id: 105851575
    {'aut_label': '64A-1', 'centralizer': '193.a1.a1', 'counter': 162, 'group_counter': 1, 'group_order': 111168, 'label': '64A-1', 'order': 64, 'powers': [82, 164, 162], 'representative': 189, 'size': 193}
  • id: 105851576
    {'aut_label': '64A3', 'centralizer': '193.a1.a1', 'counter': 163, 'group_counter': 1, 'group_order': 111168, 'label': '64A3', 'order': 64, 'powers': [83, 169, 163], 'representative': 9, 'size': 193}
  • id: 105851577
    {'aut_label': '64A-3', 'centralizer': '193.a1.a1', 'counter': 164, 'group_counter': 1, 'group_order': 111168, 'label': '64A-3', 'order': 64, 'powers': [84, 170, 164], 'representative': 183, 'size': 193}
  • id: 105851578
    {'aut_label': '64A5', 'centralizer': '193.a1.a1', 'counter': 165, 'group_counter': 1, 'group_order': 111168, 'label': '64A5', 'order': 64, 'powers': [85, 175, 165], 'representative': 15, 'size': 193}
  • id: 105851579
    {'aut_label': '64A-5', 'centralizer': '193.a1.a1', 'counter': 166, 'group_counter': 1, 'group_order': 111168, 'label': '64A-5', 'order': 64, 'powers': [86, 176, 166], 'representative': 177, 'size': 193}
  • id: 105851580
    {'aut_label': '64A7', 'centralizer': '193.a1.a1', 'counter': 167, 'group_counter': 1, 'group_order': 111168, 'label': '64A7', 'order': 64, 'powers': [87, 181, 167], 'representative': 21, 'size': 193}
  • id: 105851581
    {'aut_label': '64A-7', 'centralizer': '193.a1.a1', 'counter': 168, 'group_counter': 1, 'group_order': 111168, 'label': '64A-7', 'order': 64, 'powers': [88, 182, 168], 'representative': 171, 'size': 193}
  • id: 105851582
    {'aut_label': '64A9', 'centralizer': '193.a1.a1', 'counter': 169, 'group_counter': 1, 'group_order': 111168, 'label': '64A9', 'order': 64, 'powers': [89, 187, 169], 'representative': 27, 'size': 193}
  • id: 105851584
    {'aut_label': '64A-9', 'centralizer': '193.a1.a1', 'counter': 170, 'group_counter': 1, 'group_order': 111168, 'label': '64A-9', 'order': 64, 'powers': [90, 188, 170], 'representative': 165, 'size': 193}
  • id: 105851585
    {'aut_label': '64A11', 'centralizer': '193.a1.a1', 'counter': 171, 'group_counter': 1, 'group_order': 111168, 'label': '64A11', 'order': 64, 'powers': [91, 192, 171], 'representative': 33, 'size': 193}
  • id: 105851586
    {'aut_label': '64A-11', 'centralizer': '193.a1.a1', 'counter': 172, 'group_counter': 1, 'group_order': 111168, 'label': '64A-11', 'order': 64, 'powers': [92, 191, 172], 'representative': 159, 'size': 193}
  • id: 105851587
    {'aut_label': '64A13', 'centralizer': '193.a1.a1', 'counter': 173, 'group_counter': 1, 'group_order': 111168, 'label': '64A13', 'order': 64, 'powers': [93, 186, 173], 'representative': 39, 'size': 193}
  • id: 105851588
    {'aut_label': '64A-13', 'centralizer': '193.a1.a1', 'counter': 174, 'group_counter': 1, 'group_order': 111168, 'label': '64A-13', 'order': 64, 'powers': [94, 185, 174], 'representative': 153, 'size': 193}
  • id: 105851589
    {'aut_label': '64A15', 'centralizer': '193.a1.a1', 'counter': 175, 'group_counter': 1, 'group_order': 111168, 'label': '64A15', 'order': 64, 'powers': [95, 180, 175], 'representative': 45, 'size': 193}
  • id: 105851590
    {'aut_label': '64A-15', 'centralizer': '193.a1.a1', 'counter': 176, 'group_counter': 1, 'group_order': 111168, 'label': '64A-15', 'order': 64, 'powers': [96, 179, 176], 'representative': 147, 'size': 193}
  • id: 105851591
    {'aut_label': '64A17', 'centralizer': '193.a1.a1', 'counter': 177, 'group_counter': 1, 'group_order': 111168, 'label': '64A17', 'order': 64, 'powers': [96, 174, 177], 'representative': 51, 'size': 193}
  • id: 105851592
    {'aut_label': '64A-17', 'centralizer': '193.a1.a1', 'counter': 178, 'group_counter': 1, 'group_order': 111168, 'label': '64A-17', 'order': 64, 'powers': [95, 173, 178], 'representative': 141, 'size': 193}
  • id: 105851593
    {'aut_label': '64A19', 'centralizer': '193.a1.a1', 'counter': 179, 'group_counter': 1, 'group_order': 111168, 'label': '64A19', 'order': 64, 'powers': [94, 168, 179], 'representative': 57, 'size': 193}
  • id: 105851595
    {'aut_label': '64A-19', 'centralizer': '193.a1.a1', 'counter': 180, 'group_counter': 1, 'group_order': 111168, 'label': '64A-19', 'order': 64, 'powers': [93, 167, 180], 'representative': 135, 'size': 193}
  • id: 105851596
    {'aut_label': '64A21', 'centralizer': '193.a1.a1', 'counter': 181, 'group_counter': 1, 'group_order': 111168, 'label': '64A21', 'order': 64, 'powers': [92, 162, 181], 'representative': 63, 'size': 193}
  • id: 105851597
    {'aut_label': '64A-21', 'centralizer': '193.a1.a1', 'counter': 182, 'group_counter': 1, 'group_order': 111168, 'label': '64A-21', 'order': 64, 'powers': [91, 161, 182], 'representative': 129, 'size': 193}
  • id: 105851598
    {'aut_label': '64A23', 'centralizer': '193.a1.a1', 'counter': 183, 'group_counter': 1, 'group_order': 111168, 'label': '64A23', 'order': 64, 'powers': [90, 165, 183], 'representative': 69, 'size': 193}
  • id: 105851599
    {'aut_label': '64A-23', 'centralizer': '193.a1.a1', 'counter': 184, 'group_counter': 1, 'group_order': 111168, 'label': '64A-23', 'order': 64, 'powers': [89, 166, 184], 'representative': 123, 'size': 193}
  • id: 105851600
    {'aut_label': '64A25', 'centralizer': '193.a1.a1', 'counter': 185, 'group_counter': 1, 'group_order': 111168, 'label': '64A25', 'order': 64, 'powers': [88, 171, 185], 'representative': 75, 'size': 193}
  • id: 105851601
    {'aut_label': '64A-25', 'centralizer': '193.a1.a1', 'counter': 186, 'group_counter': 1, 'group_order': 111168, 'label': '64A-25', 'order': 64, 'powers': [87, 172, 186], 'representative': 117, 'size': 193}
  • id: 105851602
    {'aut_label': '64A27', 'centralizer': '193.a1.a1', 'counter': 187, 'group_counter': 1, 'group_order': 111168, 'label': '64A27', 'order': 64, 'powers': [86, 177, 187], 'representative': 81, 'size': 193}
  • id: 105851603
    {'aut_label': '64A-27', 'centralizer': '193.a1.a1', 'counter': 188, 'group_counter': 1, 'group_order': 111168, 'label': '64A-27', 'order': 64, 'powers': [85, 178, 188], 'representative': 111, 'size': 193}
  • id: 105851604
    {'aut_label': '64A29', 'centralizer': '193.a1.a1', 'counter': 189, 'group_counter': 1, 'group_order': 111168, 'label': '64A29', 'order': 64, 'powers': [84, 183, 189], 'representative': 87, 'size': 193}
  • id: 105851606
    {'aut_label': '64A-29', 'centralizer': '193.a1.a1', 'counter': 190, 'group_counter': 1, 'group_order': 111168, 'label': '64A-29', 'order': 64, 'powers': [83, 184, 190], 'representative': 105, 'size': 193}
  • id: 105851607
    {'aut_label': '64A31', 'centralizer': '193.a1.a1', 'counter': 191, 'group_counter': 1, 'group_order': 111168, 'label': '64A31', 'order': 64, 'powers': [82, 189, 191], 'representative': 93, 'size': 193}
  • id: 105851608
    {'aut_label': '64A-31', 'centralizer': '193.a1.a1', 'counter': 192, 'group_counter': 1, 'group_order': 111168, 'label': '64A-31', 'order': 64, 'powers': [81, 190, 192], 'representative': 99, 'size': 193}
  • id: 105851609
    {'aut_label': '96A1', 'centralizer': '193.a1.a1', 'counter': 193, 'group_counter': 1, 'group_order': 111168, 'label': '96A1', 'order': 96, 'powers': [97, 81, 193], 'representative': 2, 'size': 193}
  • id: 105851610
    {'aut_label': '96A-1', 'centralizer': '193.a1.a1', 'counter': 194, 'group_counter': 1, 'group_order': 111168, 'label': '96A-1', 'order': 96, 'powers': [98, 82, 194], 'representative': 190, 'size': 193}
  • id: 105851611
    {'aut_label': '96A5', 'centralizer': '193.a1.a1', 'counter': 195, 'group_counter': 1, 'group_order': 111168, 'label': '96A5', 'order': 96, 'powers': [99, 85, 195], 'representative': 10, 'size': 193}
  • id: 105851612
    {'aut_label': '96A-5', 'centralizer': '193.a1.a1', 'counter': 196, 'group_counter': 1, 'group_order': 111168, 'label': '96A-5', 'order': 96, 'powers': [100, 86, 196], 'representative': 182, 'size': 193}
  • id: 105851613
    {'aut_label': '96A7', 'centralizer': '193.a1.a1', 'counter': 197, 'group_counter': 1, 'group_order': 111168, 'label': '96A7', 'order': 96, 'powers': [101, 87, 197], 'representative': 14, 'size': 193}
  • id: 105851614
    {'aut_label': '96A-7', 'centralizer': '193.a1.a1', 'counter': 198, 'group_counter': 1, 'group_order': 111168, 'label': '96A-7', 'order': 96, 'powers': [102, 88, 198], 'representative': 178, 'size': 193}
  • id: 105851615
    {'aut_label': '96A11', 'centralizer': '193.a1.a1', 'counter': 199, 'group_counter': 1, 'group_order': 111168, 'label': '96A11', 'order': 96, 'powers': [103, 91, 199], 'representative': 22, 'size': 193}
  • id: 105851618
    {'aut_label': '96A-11', 'centralizer': '193.a1.a1', 'counter': 200, 'group_counter': 1, 'group_order': 111168, 'label': '96A-11', 'order': 96, 'powers': [104, 92, 200], 'representative': 170, 'size': 193}
  • id: 105851619
    {'aut_label': '96A13', 'centralizer': '193.a1.a1', 'counter': 201, 'group_counter': 1, 'group_order': 111168, 'label': '96A13', 'order': 96, 'powers': [105, 93, 201], 'representative': 26, 'size': 193}
  • id: 105851620
    {'aut_label': '96A-13', 'centralizer': '193.a1.a1', 'counter': 202, 'group_counter': 1, 'group_order': 111168, 'label': '96A-13', 'order': 96, 'powers': [106, 94, 202], 'representative': 166, 'size': 193}
  • id: 105851621
    {'aut_label': '96A17', 'centralizer': '193.a1.a1', 'counter': 203, 'group_counter': 1, 'group_order': 111168, 'label': '96A17', 'order': 96, 'powers': [107, 96, 203], 'representative': 34, 'size': 193}
  • id: 105851622
    {'aut_label': '96A-17', 'centralizer': '193.a1.a1', 'counter': 204, 'group_counter': 1, 'group_order': 111168, 'label': '96A-17', 'order': 96, 'powers': [108, 95, 204], 'representative': 158, 'size': 193}
  • id: 105851623
    {'aut_label': '96A19', 'centralizer': '193.a1.a1', 'counter': 205, 'group_counter': 1, 'group_order': 111168, 'label': '96A19', 'order': 96, 'powers': [109, 94, 205], 'representative': 38, 'size': 193}
  • id: 105851624
    {'aut_label': '96A-19', 'centralizer': '193.a1.a1', 'counter': 206, 'group_counter': 1, 'group_order': 111168, 'label': '96A-19', 'order': 96, 'powers': [110, 93, 206], 'representative': 154, 'size': 193}
  • id: 105851625
    {'aut_label': '96A23', 'centralizer': '193.a1.a1', 'counter': 207, 'group_counter': 1, 'group_order': 111168, 'label': '96A23', 'order': 96, 'powers': [111, 90, 207], 'representative': 46, 'size': 193}
  • id: 105851626
    {'aut_label': '96A-23', 'centralizer': '193.a1.a1', 'counter': 208, 'group_counter': 1, 'group_order': 111168, 'label': '96A-23', 'order': 96, 'powers': [112, 89, 208], 'representative': 146, 'size': 193}
  • id: 105851627
    {'aut_label': '96A25', 'centralizer': '193.a1.a1', 'counter': 209, 'group_counter': 1, 'group_order': 111168, 'label': '96A25', 'order': 96, 'powers': [112, 88, 209], 'representative': 50, 'size': 193}
  • id: 105851629
    {'aut_label': '96A-25', 'centralizer': '193.a1.a1', 'counter': 210, 'group_counter': 1, 'group_order': 111168, 'label': '96A-25', 'order': 96, 'powers': [111, 87, 210], 'representative': 142, 'size': 193}
  • id: 105851630
    {'aut_label': '96A29', 'centralizer': '193.a1.a1', 'counter': 211, 'group_counter': 1, 'group_order': 111168, 'label': '96A29', 'order': 96, 'powers': [110, 84, 211], 'representative': 58, 'size': 193}
  • id: 105851631
    {'aut_label': '96A-29', 'centralizer': '193.a1.a1', 'counter': 212, 'group_counter': 1, 'group_order': 111168, 'label': '96A-29', 'order': 96, 'powers': [109, 83, 212], 'representative': 134, 'size': 193}
  • id: 105851632
    {'aut_label': '96A31', 'centralizer': '193.a1.a1', 'counter': 213, 'group_counter': 1, 'group_order': 111168, 'label': '96A31', 'order': 96, 'powers': [108, 82, 213], 'representative': 62, 'size': 193}
  • id: 105851633
    {'aut_label': '96A-31', 'centralizer': '193.a1.a1', 'counter': 214, 'group_counter': 1, 'group_order': 111168, 'label': '96A-31', 'order': 96, 'powers': [107, 81, 214], 'representative': 130, 'size': 193}
  • id: 105851634
    {'aut_label': '96A35', 'centralizer': '193.a1.a1', 'counter': 215, 'group_counter': 1, 'group_order': 111168, 'label': '96A35', 'order': 96, 'powers': [106, 83, 215], 'representative': 70, 'size': 193}
  • id: 105851635
    {'aut_label': '96A-35', 'centralizer': '193.a1.a1', 'counter': 216, 'group_counter': 1, 'group_order': 111168, 'label': '96A-35', 'order': 96, 'powers': [105, 84, 216], 'representative': 122, 'size': 193}
  • id: 105851636
    {'aut_label': '96A37', 'centralizer': '193.a1.a1', 'counter': 217, 'group_counter': 1, 'group_order': 111168, 'label': '96A37', 'order': 96, 'powers': [104, 85, 217], 'representative': 74, 'size': 193}
  • id: 105851637
    {'aut_label': '96A-37', 'centralizer': '193.a1.a1', 'counter': 218, 'group_counter': 1, 'group_order': 111168, 'label': '96A-37', 'order': 96, 'powers': [103, 86, 218], 'representative': 118, 'size': 193}
  • id: 105851638
    {'aut_label': '96A41', 'centralizer': '193.a1.a1', 'counter': 219, 'group_counter': 1, 'group_order': 111168, 'label': '96A41', 'order': 96, 'powers': [102, 89, 219], 'representative': 82, 'size': 193}
  • id: 105851640
    {'aut_label': '96A-41', 'centralizer': '193.a1.a1', 'counter': 220, 'group_counter': 1, 'group_order': 111168, 'label': '96A-41', 'order': 96, 'powers': [101, 90, 220], 'representative': 110, 'size': 193}
  • id: 105851641
    {'aut_label': '96A43', 'centralizer': '193.a1.a1', 'counter': 221, 'group_counter': 1, 'group_order': 111168, 'label': '96A43', 'order': 96, 'powers': [100, 91, 221], 'representative': 86, 'size': 193}
  • id: 105851642
    {'aut_label': '96A-43', 'centralizer': '193.a1.a1', 'counter': 222, 'group_counter': 1, 'group_order': 111168, 'label': '96A-43', 'order': 96, 'powers': [99, 92, 222], 'representative': 106, 'size': 193}
  • id: 105851643
    {'aut_label': '96A47', 'centralizer': '193.a1.a1', 'counter': 223, 'group_counter': 1, 'group_order': 111168, 'label': '96A47', 'order': 96, 'powers': [98, 95, 223], 'representative': 94, 'size': 193}
  • id: 105851644
    {'aut_label': '96A-47', 'centralizer': '193.a1.a1', 'counter': 224, 'group_counter': 1, 'group_order': 111168, 'label': '96A-47', 'order': 96, 'powers': [97, 96, 224], 'representative': 98, 'size': 193}
  • id: 105851645
    {'aut_label': '96A1', 'centralizer': '193.a1.a1', 'counter': 225, 'group_counter': 1, 'group_order': 111168, 'label': '96B1', 'order': 96, 'powers': [113, 81, 225], 'representative': 28610, 'size': 193}
  • id: 105851646
    {'aut_label': '96A-1', 'centralizer': '193.a1.a1', 'counter': 226, 'group_counter': 1, 'group_order': 111168, 'label': '96B-1', 'order': 96, 'powers': [114, 82, 226], 'representative': 81022, 'size': 193}
  • id: 105851647
    {'aut_label': '96A5', 'centralizer': '193.a1.a1', 'counter': 227, 'group_counter': 1, 'group_order': 111168, 'label': '96B5', 'order': 96, 'powers': [115, 85, 227], 'representative': 54346, 'size': 193}
  • id: 105851648
    {'aut_label': '96A-5', 'centralizer': '193.a1.a1', 'counter': 228, 'group_counter': 1, 'group_order': 111168, 'label': '96B-5', 'order': 96, 'powers': [116, 86, 228], 'representative': 40886, 'size': 193}
  • id: 105851649
    {'aut_label': '96A7', 'centralizer': '193.a1.a1', 'counter': 229, 'group_counter': 1, 'group_order': 111168, 'label': '96B7', 'order': 96, 'powers': [117, 87, 229], 'representative': 24590, 'size': 193}
  • id: 105851651
    {'aut_label': '96A-7', 'centralizer': '193.a1.a1', 'counter': 230, 'group_counter': 1, 'group_order': 111168, 'label': '96B-7', 'order': 96, 'powers': [118, 88, 230], 'representative': 49330, 'size': 193}
  • id: 105851652
    {'aut_label': '96A11', 'centralizer': '193.a1.a1', 'counter': 231, 'group_counter': 1, 'group_order': 111168, 'label': '96B11', 'order': 96, 'powers': [119, 91, 231], 'representative': 82582, 'size': 193}
  • id: 105851653
    {'aut_label': '96A-11', 'centralizer': '193.a1.a1', 'counter': 232, 'group_counter': 1, 'group_order': 111168, 'label': '96B-11', 'order': 96, 'powers': [120, 92, 232], 'representative': 77162, 'size': 193}
  • id: 105851654
    {'aut_label': '96A13', 'centralizer': '193.a1.a1', 'counter': 233, 'group_counter': 1, 'group_order': 111168, 'label': '96B13', 'order': 96, 'powers': [121, 93, 233], 'representative': 60314, 'size': 193}
  • id: 105851655
    {'aut_label': '96A-13', 'centralizer': '193.a1.a1', 'counter': 234, 'group_counter': 1, 'group_order': 111168, 'label': '96B-13', 'order': 96, 'powers': [122, 94, 234], 'representative': 65446, 'size': 193}
  • id: 105851656
    {'aut_label': '96A17', 'centralizer': '193.a1.a1', 'counter': 235, 'group_counter': 1, 'group_order': 111168, 'label': '96B17', 'order': 96, 'powers': [123, 96, 235], 'representative': 54946, 'size': 193}
  • id: 105851657
    {'aut_label': '96A-17', 'centralizer': '193.a1.a1', 'counter': 236, 'group_counter': 1, 'group_order': 111168, 'label': '96B-17', 'order': 96, 'powers': [124, 95, 236], 'representative': 74846, 'size': 193}
  • id: 105851658
    {'aut_label': '96A19', 'centralizer': '193.a1.a1', 'counter': 237, 'group_counter': 1, 'group_order': 111168, 'label': '96B19', 'order': 96, 'powers': [125, 94, 237], 'representative': 109286, 'size': 193}
  • id: 105851659
    {'aut_label': '96A-19', 'centralizer': '193.a1.a1', 'counter': 238, 'group_counter': 1, 'group_order': 111168, 'label': '96B-19', 'order': 96, 'powers': [126, 93, 238], 'representative': 2650, 'size': 193}
  • id: 105851660
    {'aut_label': '96A23', 'centralizer': '193.a1.a1', 'counter': 239, 'group_counter': 1, 'group_order': 111168, 'label': '96B23', 'order': 96, 'powers': [127, 90, 239], 'representative': 45742, 'size': 193}
  • id: 105851662
    {'aut_label': '96A-23', 'centralizer': '193.a1.a1', 'counter': 240, 'group_counter': 1, 'group_order': 111168, 'label': '96B-23', 'order': 96, 'powers': [128, 89, 240], 'representative': 67922, 'size': 193}
  • id: 105851663
    {'aut_label': '96A25', 'centralizer': '193.a1.a1', 'counter': 241, 'group_counter': 1, 'group_order': 111168, 'label': '96B25', 'order': 96, 'powers': [128, 88, 241], 'representative': 88562, 'size': 193}
  • id: 105851664
    {'aut_label': '96A-25', 'centralizer': '193.a1.a1', 'counter': 242, 'group_counter': 1, 'group_order': 111168, 'label': '96B-25', 'order': 96, 'powers': [127, 87, 242], 'representative': 36622, 'size': 193}
  • id: 105851665
    {'aut_label': '96A29', 'centralizer': '193.a1.a1', 'counter': 243, 'group_counter': 1, 'group_order': 111168, 'label': '96B29', 'order': 96, 'powers': [126, 84, 243], 'representative': 79738, 'size': 193}
  • id: 105851666
    {'aut_label': '96A-29', 'centralizer': '193.a1.a1', 'counter': 244, 'group_counter': 1, 'group_order': 111168, 'label': '96B-29', 'order': 96, 'powers': [125, 83, 244], 'representative': 47174, 'size': 193}
  • id: 105851667
    {'aut_label': '96A31', 'centralizer': '193.a1.a1', 'counter': 245, 'group_counter': 1, 'group_order': 111168, 'label': '96B31', 'order': 96, 'powers': [124, 82, 245], 'representative': 81662, 'size': 193}
  • id: 105851668
    {'aut_label': '96A-31', 'centralizer': '193.a1.a1', 'counter': 246, 'group_counter': 1, 'group_order': 111168, 'label': '96B-31', 'order': 96, 'powers': [123, 81, 246], 'representative': 27394, 'size': 193}
  • id: 105851669
    {'aut_label': '96A35', 'centralizer': '193.a1.a1', 'counter': 247, 'group_counter': 1, 'group_order': 111168, 'label': '96B35', 'order': 96, 'powers': [122, 83, 247], 'representative': 16966, 'size': 193}
  • id: 105851670
    {'aut_label': '96A-35', 'centralizer': '193.a1.a1', 'counter': 248, 'group_counter': 1, 'group_order': 111168, 'label': '96B-35', 'order': 96, 'powers': [121, 84, 248], 'representative': 96122, 'size': 193}
  • id: 105851671
    {'aut_label': '96A37', 'centralizer': '193.a1.a1', 'counter': 249, 'group_counter': 1, 'group_order': 111168, 'label': '96B37', 'order': 96, 'powers': [120, 85, 249], 'representative': 79370, 'size': 193}
  • id: 105851673
    {'aut_label': '96A-37', 'centralizer': '193.a1.a1', 'counter': 250, 'group_counter': 1, 'group_order': 111168, 'label': '96B-37', 'order': 96, 'powers': [119, 86, 250], 'representative': 110902, 'size': 193}
  • id: 105851674
    {'aut_label': '96A41', 'centralizer': '193.a1.a1', 'counter': 251, 'group_counter': 1, 'group_order': 111168, 'label': '96B41', 'order': 96, 'powers': [118, 89, 251], 'representative': 33106, 'size': 193}
  • id: 105851675
    {'aut_label': '96A-41', 'centralizer': '193.a1.a1', 'counter': 252, 'group_counter': 1, 'group_order': 111168, 'label': '96B-41', 'order': 96, 'powers': [117, 90, 252], 'representative': 20654, 'size': 193}
  • id: 105851676
    {'aut_label': '96A43', 'centralizer': '193.a1.a1', 'counter': 253, 'group_counter': 1, 'group_order': 111168, 'label': '96B43', 'order': 96, 'powers': [116, 91, 253], 'representative': 4502, 'size': 193}
  • id: 105851677
    {'aut_label': '96A-43', 'centralizer': '193.a1.a1', 'counter': 254, 'group_counter': 1, 'group_order': 111168, 'label': '96B-43', 'order': 96, 'powers': [115, 92, 254], 'representative': 27946, 'size': 193}
  • id: 105851678
    {'aut_label': '96A47', 'centralizer': '193.a1.a1', 'counter': 255, 'group_counter': 1, 'group_order': 111168, 'label': '96B47', 'order': 96, 'powers': [114, 95, 255], 'representative': 1438, 'size': 193}
  • id: 105851679
    {'aut_label': '96A-47', 'centralizer': '193.a1.a1', 'counter': 256, 'group_counter': 1, 'group_order': 111168, 'label': '96B-47', 'order': 96, 'powers': [113, 96, 256], 'representative': 16610, 'size': 193}
  • id: 105851680
    {'aut_label': '96A1', 'centralizer': '193.a1.a1', 'counter': 257, 'group_counter': 1, 'group_order': 111168, 'label': '96C1', 'order': 96, 'powers': [129, 81, 257], 'representative': 57218, 'size': 193}
  • id: 105851681
    {'aut_label': '96A-1', 'centralizer': '193.a1.a1', 'counter': 258, 'group_counter': 1, 'group_order': 111168, 'label': '96C-1', 'order': 96, 'powers': [130, 82, 258], 'representative': 50686, 'size': 193}
  • id: 105851682
    {'aut_label': '96A5', 'centralizer': '193.a1.a1', 'counter': 259, 'group_counter': 1, 'group_order': 111168, 'label': '96C5', 'order': 96, 'powers': [131, 85, 259], 'representative': 108682, 'size': 193}
  • id: 105851684
    {'aut_label': '96A-5', 'centralizer': '193.a1.a1', 'counter': 260, 'group_counter': 1, 'group_order': 111168, 'label': '96C-5', 'order': 96, 'powers': [132, 86, 260], 'representative': 81590, 'size': 193}
  • id: 105851685
    {'aut_label': '96A7', 'centralizer': '193.a1.a1', 'counter': 261, 'group_counter': 1, 'group_order': 111168, 'label': '96C7', 'order': 96, 'powers': [133, 87, 261], 'representative': 49166, 'size': 193}
  • id: 105851686
    {'aut_label': '96A-7', 'centralizer': '193.a1.a1', 'counter': 262, 'group_counter': 1, 'group_order': 111168, 'label': '96C-7', 'order': 96, 'powers': [134, 88, 262], 'representative': 98482, 'size': 193}
  • id: 105851687
    {'aut_label': '96A11', 'centralizer': '193.a1.a1', 'counter': 263, 'group_counter': 1, 'group_order': 111168, 'label': '96C11', 'order': 96, 'powers': [135, 91, 263], 'representative': 53974, 'size': 193}
  • id: 105851688
    {'aut_label': '96A-11', 'centralizer': '193.a1.a1', 'counter': 264, 'group_counter': 1, 'group_order': 111168, 'label': '96C-11', 'order': 96, 'powers': [136, 92, 264], 'representative': 42986, 'size': 193}
  • id: 105851689
    {'aut_label': '96A13', 'centralizer': '193.a1.a1', 'counter': 265, 'group_counter': 1, 'group_order': 111168, 'label': '96C13', 'order': 96, 'powers': [137, 93, 265], 'representative': 9434, 'size': 193}
  • id: 105851690
    {'aut_label': '96A-13', 'centralizer': '193.a1.a1', 'counter': 266, 'group_counter': 1, 'group_order': 111168, 'label': '96C-13', 'order': 96, 'powers': [138, 94, 266], 'representative': 19558, 'size': 193}
  • id: 105851691
    {'aut_label': '96A17', 'centralizer': '193.a1.a1', 'counter': 267, 'group_counter': 1, 'group_order': 111168, 'label': '96C17', 'order': 96, 'powers': [139, 96, 267], 'representative': 109858, 'size': 193}
  • id: 105851692
    {'aut_label': '96A-17', 'centralizer': '193.a1.a1', 'counter': 268, 'group_counter': 1, 'group_order': 111168, 'label': '96C-17', 'order': 96, 'powers': [140, 95, 268], 'representative': 38366, 'size': 193}
  • id: 105851693
    {'aut_label': '96A19', 'centralizer': '193.a1.a1', 'counter': 269, 'group_counter': 1, 'group_order': 111168, 'label': '96C19', 'order': 96, 'powers': [141, 94, 269], 'representative': 107366, 'size': 193}
  • id: 105851695
    {'aut_label': '96A-19', 'centralizer': '193.a1.a1', 'counter': 270, 'group_counter': 1, 'group_order': 111168, 'label': '96C-19', 'order': 96, 'powers': [142, 93, 270], 'representative': 5146, 'size': 193}
  • id: 105851696
    {'aut_label': '96A23', 'centralizer': '193.a1.a1', 'counter': 271, 'group_counter': 1, 'group_order': 111168, 'label': '96C23', 'order': 96, 'powers': [143, 90, 271], 'representative': 91438, 'size': 193}
  • id: 105851697
    {'aut_label': '96A-23', 'centralizer': '193.a1.a1', 'counter': 272, 'group_counter': 1, 'group_order': 111168, 'label': '96C-23', 'order': 96, 'powers': [144, 89, 272], 'representative': 24530, 'size': 193}
  • id: 105851698
    {'aut_label': '96A25', 'centralizer': '193.a1.a1', 'counter': 273, 'group_counter': 1, 'group_order': 111168, 'label': '96C25', 'order': 96, 'powers': [144, 88, 273], 'representative': 65906, 'size': 193}
  • id: 105851699
    {'aut_label': '96A-25', 'centralizer': '193.a1.a1', 'counter': 274, 'group_counter': 1, 'group_order': 111168, 'label': '96C-25', 'order': 96, 'powers': [143, 87, 274], 'representative': 73102, 'size': 193}
  • id: 105851700
    {'aut_label': '96A29', 'centralizer': '193.a1.a1', 'counter': 275, 'group_counter': 1, 'group_order': 111168, 'label': '96C29', 'order': 96, 'powers': [142, 84, 275], 'representative': 48250, 'size': 193}
  • id: 105851701
    {'aut_label': '96A-29', 'centralizer': '193.a1.a1', 'counter': 276, 'group_counter': 1, 'group_order': 111168, 'label': '96C-29', 'order': 96, 'powers': [141, 83, 276], 'representative': 94214, 'size': 193}
  • id: 105851702
    {'aut_label': '96A31', 'centralizer': '193.a1.a1', 'counter': 277, 'group_counter': 1, 'group_order': 111168, 'label': '96C31', 'order': 96, 'powers': [140, 82, 277], 'representative': 52094, 'size': 193}
  • id: 105851703
    {'aut_label': '96A-31', 'centralizer': '193.a1.a1', 'counter': 278, 'group_counter': 1, 'group_order': 111168, 'label': '96C-31', 'order': 96, 'powers': [139, 81, 278], 'representative': 54658, 'size': 193}
  • id: 105851704
    {'aut_label': '96A35', 'centralizer': '193.a1.a1', 'counter': 279, 'group_counter': 1, 'group_order': 111168, 'label': '96C35', 'order': 96, 'powers': [138, 83, 279], 'representative': 33862, 'size': 193}
  • id: 105851706
    {'aut_label': '96A-35', 'centralizer': '193.a1.a1', 'counter': 280, 'group_counter': 1, 'group_order': 111168, 'label': '96C-35', 'order': 96, 'powers': [137, 84, 280], 'representative': 80954, 'size': 193}
  • id: 105851707
    {'aut_label': '96A37', 'centralizer': '193.a1.a1', 'counter': 281, 'group_counter': 1, 'group_order': 111168, 'label': '96C37', 'order': 96, 'powers': [136, 85, 281], 'representative': 47498, 'size': 193}
  • id: 105851708
    {'aut_label': '96A-37', 'centralizer': '193.a1.a1', 'counter': 282, 'group_counter': 1, 'group_order': 111168, 'label': '96C-37', 'order': 96, 'powers': [135, 86, 282], 'representative': 110518, 'size': 193}
  • id: 105851709
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  • id: 105851710
    {'aut_label': '96A-41', 'centralizer': '193.a1.a1', 'counter': 284, 'group_counter': 1, 'group_order': 111168, 'label': '96C-41', 'order': 96, 'powers': [133, 90, 284], 'representative': 41198, 'size': 193}
  • id: 105851711
    {'aut_label': '96A43', 'centralizer': '193.a1.a1', 'counter': 285, 'group_counter': 1, 'group_order': 111168, 'label': '96C43', 'order': 96, 'powers': [132, 91, 285], 'representative': 8918, 'size': 193}
  • id: 105851712
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  • id: 105851713
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  • id: 105851714
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  • id: 105851715
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  • id: 105851717
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  • id: 105851718
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  • id: 105851719
    {'aut_label': '96D-5', 'centralizer': '193.a1.a1', 'counter': 292, 'group_counter': 1, 'group_order': 111168, 'label': '96D-5', 'order': 96, 'powers': [148, 86, 292], 'representative': 14262, 'size': 193}
  • id: 105851720
    {'aut_label': '96D7', 'centralizer': '193.a1.a1', 'counter': 293, 'group_counter': 1, 'group_order': 111168, 'label': '96D7', 'order': 96, 'powers': [149, 87, 293], 'representative': 29262, 'size': 193}
  • id: 105851721
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  • id: 105851722
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  • id: 105851723
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  • id: 105851724
    {'aut_label': '96D13', 'centralizer': '193.a1.a1', 'counter': 297, 'group_counter': 1, 'group_order': 111168, 'label': '96D13', 'order': 96, 'powers': [153, 93, 297], 'representative': 11994, 'size': 193}
  • id: 105851725
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  • id: 105851726
    {'aut_label': '96D17', 'centralizer': '193.a1.a1', 'counter': 299, 'group_counter': 1, 'group_order': 111168, 'label': '96D17', 'order': 96, 'powers': [155, 96, 299], 'representative': 110946, 'size': 193}
  • id: 105851729
    {'aut_label': '96D-17', 'centralizer': '193.a1.a1', 'counter': 300, 'group_counter': 1, 'group_order': 111168, 'label': '96D-17', 'order': 96, 'powers': [156, 95, 300], 'representative': 101790, 'size': 193}
  • id: 105851730
    {'aut_label': '96D-13', 'centralizer': '193.a1.a1', 'counter': 301, 'group_counter': 1, 'group_order': 111168, 'label': '96D19', 'order': 96, 'powers': [157, 94, 301], 'representative': 6246, 'size': 193}
  • id: 105851731
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  • id: 105851732
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  • id: 105851733
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  • id: 105851734
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  • id: 105851735
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  • id: 105851736
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  • id: 105851737
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  • id: 105851738
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  • id: 105851740
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  • id: 105851741
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  • id: 105851742
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  • id: 105851743
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  • id: 105851744
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  • id: 105851745
    {'aut_label': '96D-23', 'centralizer': '193.a1.a1', 'counter': 315, 'group_counter': 1, 'group_order': 111168, 'label': '96D41', 'order': 96, 'powers': [150, 89, 315], 'representative': 39378, 'size': 193}
  • id: 105851746
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  • id: 105851747
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  • id: 105851748
    {'aut_label': '96D-11', 'centralizer': '193.a1.a1', 'counter': 318, 'group_counter': 1, 'group_order': 111168, 'label': '96D-43', 'order': 96, 'powers': [147, 92, 318], 'representative': 110250, 'size': 193}
  • id: 105851749
    {'aut_label': '96D-17', 'centralizer': '193.a1.a1', 'counter': 319, 'group_counter': 1, 'group_order': 111168, 'label': '96D47', 'order': 96, 'powers': [146, 95, 319], 'representative': 64734, 'size': 193}
  • id: 105851751
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  • id: 105851752
    {'aut_label': '192A1', 'centralizer': '193.a1.a1', 'counter': 321, 'group_counter': 1, 'group_order': 111168, 'label': '192A1', 'order': 192, 'powers': [193, 161, 321], 'representative': 1, 'size': 193}
  • id: 105851753
    {'aut_label': '192A-1', 'centralizer': '193.a1.a1', 'counter': 322, 'group_counter': 1, 'group_order': 111168, 'label': '192A-1', 'order': 192, 'powers': [194, 162, 322], 'representative': 191, 'size': 193}
  • id: 105851754
    {'aut_label': '192A5', 'centralizer': '193.a1.a1', 'counter': 323, 'group_counter': 1, 'group_order': 111168, 'label': '192A5', 'order': 192, 'powers': [195, 165, 323], 'representative': 5, 'size': 193}
  • id: 105851755
    {'aut_label': '192A-5', 'centralizer': '193.a1.a1', 'counter': 324, 'group_counter': 1, 'group_order': 111168, 'label': '192A-5', 'order': 192, 'powers': [196, 166, 324], 'representative': 187, 'size': 193}
  • id: 105851756
    {'aut_label': '192A7', 'centralizer': '193.a1.a1', 'counter': 325, 'group_counter': 1, 'group_order': 111168, 'label': '192A7', 'order': 192, 'powers': [197, 167, 325], 'representative': 7, 'size': 193}
  • id: 105851757
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  • id: 105851758
    {'aut_label': '192A11', 'centralizer': '193.a1.a1', 'counter': 327, 'group_counter': 1, 'group_order': 111168, 'label': '192A11', 'order': 192, 'powers': [199, 171, 327], 'representative': 11, 'size': 193}
  • id: 105851759
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  • id: 105851760
    {'aut_label': '192A13', 'centralizer': '193.a1.a1', 'counter': 329, 'group_counter': 1, 'group_order': 111168, 'label': '192A13', 'order': 192, 'powers': [201, 173, 329], 'representative': 13, 'size': 193}
  • id: 105851762
    {'aut_label': '192A-13', 'centralizer': '193.a1.a1', 'counter': 330, 'group_counter': 1, 'group_order': 111168, 'label': '192A-13', 'order': 192, 'powers': [202, 174, 330], 'representative': 179, 'size': 193}
  • id: 105851763
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  • id: 105851764
    {'aut_label': '192A-17', 'centralizer': '193.a1.a1', 'counter': 332, 'group_counter': 1, 'group_order': 111168, 'label': '192A-17', 'order': 192, 'powers': [204, 178, 332], 'representative': 175, 'size': 193}
  • id: 105851765
    {'aut_label': '192A19', 'centralizer': '193.a1.a1', 'counter': 333, 'group_counter': 1, 'group_order': 111168, 'label': '192A19', 'order': 192, 'powers': [205, 179, 333], 'representative': 19, 'size': 193}
  • id: 105851766
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  • id: 105851767
    {'aut_label': '192A23', 'centralizer': '193.a1.a1', 'counter': 335, 'group_counter': 1, 'group_order': 111168, 'label': '192A23', 'order': 192, 'powers': [207, 183, 335], 'representative': 23, 'size': 193}
  • id: 105851768
    {'aut_label': '192A-23', 'centralizer': '193.a1.a1', 'counter': 336, 'group_counter': 1, 'group_order': 111168, 'label': '192A-23', 'order': 192, 'powers': [208, 184, 336], 'representative': 169, 'size': 193}
  • id: 105851769
    {'aut_label': '192A25', 'centralizer': '193.a1.a1', 'counter': 337, 'group_counter': 1, 'group_order': 111168, 'label': '192A25', 'order': 192, 'powers': [209, 185, 337], 'representative': 25, 'size': 193}
  • id: 105851770
    {'aut_label': '192A-25', 'centralizer': '193.a1.a1', 'counter': 338, 'group_counter': 1, 'group_order': 111168, 'label': '192A-25', 'order': 192, 'powers': [210, 186, 338], 'representative': 167, 'size': 193}
  • id: 105851771
    {'aut_label': '192A29', 'centralizer': '193.a1.a1', 'counter': 339, 'group_counter': 1, 'group_order': 111168, 'label': '192A29', 'order': 192, 'powers': [211, 189, 339], 'representative': 29, 'size': 193}
  • id: 105851773
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  • id: 105851774
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  • id: 105851775
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  • id: 105851776
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  • id: 105851777
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  • id: 105851778
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  • id: 105851779
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  • id: 105851780
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  • id: 105851781
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  • id: 105851782
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  • id: 105851784
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  • id: 105851785
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  • id: 105851786
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  • id: 105851787
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  • id: 105851788
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  • id: 105851789
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  • id: 105851790
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  • id: 105851791
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  • id: 105851792
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  • id: 105851793
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  • id: 105851795
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  • id: 105851796
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  • id: 105851797
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  • id: 105851798
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  • id: 105851799
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  • id: 105851800
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  • id: 105851801
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  • id: 105851802
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  • id: 105851803
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  • id: 105851804
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  • id: 105851806
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  • id: 105851807
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  • id: 105851808
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  • id: 105851809
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  • id: 105851810
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  • id: 105851811
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  • id: 105851812
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  • id: 105851813
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  • id: 105851814
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  • id: 105851815
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  • id: 105851817
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  • id: 105851818
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  • id: 105851819
    {'aut_label': '192A-91', 'centralizer': '193.a1.a1', 'counter': 382, 'group_counter': 1, 'group_order': 111168, 'label': '192A-91', 'order': 192, 'powers': [195, 188, 382], 'representative': 101, 'size': 193}
  • id: 105851820
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  • id: 105851821
    {'aut_label': '192A-95', 'centralizer': '193.a1.a1', 'counter': 384, 'group_counter': 1, 'group_order': 111168, 'label': '192A-95', 'order': 192, 'powers': [193, 192, 384], 'representative': 97, 'size': 193}
  • id: 105851822
    {'aut_label': '192A1', 'centralizer': '193.a1.a1', 'counter': 385, 'group_counter': 1, 'group_order': 111168, 'label': '192B1', 'order': 192, 'powers': [225, 161, 385], 'representative': 193, 'size': 193}
  • id: 105851823
    {'aut_label': '192A-1', 'centralizer': '193.a1.a1', 'counter': 386, 'group_counter': 1, 'group_order': 111168, 'label': '192B-1', 'order': 192, 'powers': [226, 162, 386], 'representative': 575, 'size': 193}
  • id: 105851824
    {'aut_label': '192A5', 'centralizer': '193.a1.a1', 'counter': 387, 'group_counter': 1, 'group_order': 111168, 'label': '192B5', 'order': 192, 'powers': [227, 165, 387], 'representative': 389, 'size': 193}
  • id: 105851825
    {'aut_label': '192A-5', 'centralizer': '193.a1.a1', 'counter': 388, 'group_counter': 1, 'group_order': 111168, 'label': '192B-5', 'order': 192, 'powers': [228, 166, 388], 'representative': 379, 'size': 193}
  • id: 105851826
    {'aut_label': '192A7', 'centralizer': '193.a1.a1', 'counter': 389, 'group_counter': 1, 'group_order': 111168, 'label': '192B7', 'order': 192, 'powers': [229, 167, 389], 'representative': 199, 'size': 193}
  • id: 105851828
    {'aut_label': '192A-7', 'centralizer': '193.a1.a1', 'counter': 390, 'group_counter': 1, 'group_order': 111168, 'label': '192B-7', 'order': 192, 'powers': [230, 168, 390], 'representative': 569, 'size': 193}
  • id: 105851829
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  • id: 105851830
    {'aut_label': '192A-11', 'centralizer': '193.a1.a1', 'counter': 392, 'group_counter': 1, 'group_order': 111168, 'label': '192B-11', 'order': 192, 'powers': [232, 172, 392], 'representative': 373, 'size': 193}
  • id: 105851831
    {'aut_label': '192A13', 'centralizer': '193.a1.a1', 'counter': 393, 'group_counter': 1, 'group_order': 111168, 'label': '192B13', 'order': 192, 'powers': [233, 173, 393], 'representative': 205, 'size': 193}
  • id: 105851832
    {'aut_label': '192A-13', 'centralizer': '193.a1.a1', 'counter': 394, 'group_counter': 1, 'group_order': 111168, 'label': '192B-13', 'order': 192, 'powers': [234, 174, 394], 'representative': 563, 'size': 193}
  • id: 105851833
    {'aut_label': '192A17', 'centralizer': '193.a1.a1', 'counter': 395, 'group_counter': 1, 'group_order': 111168, 'label': '192B17', 'order': 192, 'powers': [235, 177, 395], 'representative': 401, 'size': 193}
  • id: 105851834
    {'aut_label': '192A-17', 'centralizer': '193.a1.a1', 'counter': 396, 'group_counter': 1, 'group_order': 111168, 'label': '192B-17', 'order': 192, 'powers': [236, 178, 396], 'representative': 367, 'size': 193}
  • id: 105851835
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  • id: 105851836
    {'aut_label': '192A-19', 'centralizer': '193.a1.a1', 'counter': 398, 'group_counter': 1, 'group_order': 111168, 'label': '192B-19', 'order': 192, 'powers': [238, 180, 398], 'representative': 557, 'size': 193}
  • id: 105851837
    {'aut_label': '192A23', 'centralizer': '193.a1.a1', 'counter': 399, 'group_counter': 1, 'group_order': 111168, 'label': '192B23', 'order': 192, 'powers': [239, 183, 399], 'representative': 407, 'size': 193}
  • id: 105851840
    {'aut_label': '192A-23', 'centralizer': '193.a1.a1', 'counter': 400, 'group_counter': 1, 'group_order': 111168, 'label': '192B-23', 'order': 192, 'powers': [240, 184, 400], 'representative': 361, 'size': 193}
  • id: 105851841
    {'aut_label': '192A25', 'centralizer': '193.a1.a1', 'counter': 401, 'group_counter': 1, 'group_order': 111168, 'label': '192B25', 'order': 192, 'powers': [241, 185, 401], 'representative': 217, 'size': 193}
  • id: 105851842
    {'aut_label': '192A-25', 'centralizer': '193.a1.a1', 'counter': 402, 'group_counter': 1, 'group_order': 111168, 'label': '192B-25', 'order': 192, 'powers': [242, 186, 402], 'representative': 551, 'size': 193}
  • id: 105851843
    {'aut_label': '192A29', 'centralizer': '193.a1.a1', 'counter': 403, 'group_counter': 1, 'group_order': 111168, 'label': '192B29', 'order': 192, 'powers': [243, 189, 403], 'representative': 413, 'size': 193}
  • id: 105851844
    {'aut_label': '192A-29', 'centralizer': '193.a1.a1', 'counter': 404, 'group_counter': 1, 'group_order': 111168, 'label': '192B-29', 'order': 192, 'powers': [244, 190, 404], 'representative': 355, 'size': 193}
  • id: 105851845
    {'aut_label': '192A31', 'centralizer': '193.a1.a1', 'counter': 405, 'group_counter': 1, 'group_order': 111168, 'label': '192B31', 'order': 192, 'powers': [245, 191, 405], 'representative': 223, 'size': 193}
  • id: 105851846
    {'aut_label': '192A-31', 'centralizer': '193.a1.a1', 'counter': 406, 'group_counter': 1, 'group_order': 111168, 'label': '192B-31', 'order': 192, 'powers': [246, 192, 406], 'representative': 545, 'size': 193}
  • id: 105851847
    {'aut_label': '192A35', 'centralizer': '193.a1.a1', 'counter': 407, 'group_counter': 1, 'group_order': 111168, 'label': '192B35', 'order': 192, 'powers': [247, 190, 407], 'representative': 419, 'size': 193}
  • id: 105851848
    {'aut_label': '192A-35', 'centralizer': '193.a1.a1', 'counter': 408, 'group_counter': 1, 'group_order': 111168, 'label': '192B-35', 'order': 192, 'powers': [248, 189, 408], 'representative': 349, 'size': 193}
  • id: 105851849
    {'aut_label': '192A37', 'centralizer': '193.a1.a1', 'counter': 409, 'group_counter': 1, 'group_order': 111168, 'label': '192B37', 'order': 192, 'powers': [249, 188, 409], 'representative': 229, 'size': 193}
  • id: 105851851
    {'aut_label': '192A-37', 'centralizer': '193.a1.a1', 'counter': 410, 'group_counter': 1, 'group_order': 111168, 'label': '192B-37', 'order': 192, 'powers': [250, 187, 410], 'representative': 539, 'size': 193}
  • id: 105851852
    {'aut_label': '192A41', 'centralizer': '193.a1.a1', 'counter': 411, 'group_counter': 1, 'group_order': 111168, 'label': '192B41', 'order': 192, 'powers': [251, 184, 411], 'representative': 425, 'size': 193}
  • id: 105851853
    {'aut_label': '192A-41', 'centralizer': '193.a1.a1', 'counter': 412, 'group_counter': 1, 'group_order': 111168, 'label': '192B-41', 'order': 192, 'powers': [252, 183, 412], 'representative': 343, 'size': 193}
  • id: 105851854
    {'aut_label': '192A43', 'centralizer': '193.a1.a1', 'counter': 413, 'group_counter': 1, 'group_order': 111168, 'label': '192B43', 'order': 192, 'powers': [253, 182, 413], 'representative': 235, 'size': 193}
  • id: 105851855
    {'aut_label': '192A-43', 'centralizer': '193.a1.a1', 'counter': 414, 'group_counter': 1, 'group_order': 111168, 'label': '192B-43', 'order': 192, 'powers': [254, 181, 414], 'representative': 533, 'size': 193}
  • id: 105851856
    {'aut_label': '192A47', 'centralizer': '193.a1.a1', 'counter': 415, 'group_counter': 1, 'group_order': 111168, 'label': '192B47', 'order': 192, 'powers': [255, 178, 415], 'representative': 431, 'size': 193}
  • id: 105851857
    {'aut_label': '192A-47', 'centralizer': '193.a1.a1', 'counter': 416, 'group_counter': 1, 'group_order': 111168, 'label': '192B-47', 'order': 192, 'powers': [256, 177, 416], 'representative': 337, 'size': 193}
  • id: 105851858
    {'aut_label': '192A49', 'centralizer': '193.a1.a1', 'counter': 417, 'group_counter': 1, 'group_order': 111168, 'label': '192B49', 'order': 192, 'powers': [256, 176, 417], 'representative': 241, 'size': 193}
  • id: 105851859
    {'aut_label': '192A-49', 'centralizer': '193.a1.a1', 'counter': 418, 'group_counter': 1, 'group_order': 111168, 'label': '192B-49', 'order': 192, 'powers': [255, 175, 418], 'representative': 527, 'size': 193}
  • id: 105851860
    {'aut_label': '192A53', 'centralizer': '193.a1.a1', 'counter': 419, 'group_counter': 1, 'group_order': 111168, 'label': '192B53', 'order': 192, 'powers': [254, 172, 419], 'representative': 437, 'size': 193}
  • id: 105851862
    {'aut_label': '192A-53', 'centralizer': '193.a1.a1', 'counter': 420, 'group_counter': 1, 'group_order': 111168, 'label': '192B-53', 'order': 192, 'powers': [253, 171, 420], 'representative': 331, 'size': 193}
  • id: 105851863
    {'aut_label': '192A55', 'centralizer': '193.a1.a1', 'counter': 421, 'group_counter': 1, 'group_order': 111168, 'label': '192B55', 'order': 192, 'powers': [252, 170, 421], 'representative': 247, 'size': 193}
  • id: 105851864
    {'aut_label': '192A-55', 'centralizer': '193.a1.a1', 'counter': 422, 'group_counter': 1, 'group_order': 111168, 'label': '192B-55', 'order': 192, 'powers': [251, 169, 422], 'representative': 521, 'size': 193}
  • id: 105851865
    {'aut_label': '192A59', 'centralizer': '193.a1.a1', 'counter': 423, 'group_counter': 1, 'group_order': 111168, 'label': '192B59', 'order': 192, 'powers': [250, 166, 423], 'representative': 443, 'size': 193}
  • id: 105851866
    {'aut_label': '192A-59', 'centralizer': '193.a1.a1', 'counter': 424, 'group_counter': 1, 'group_order': 111168, 'label': '192B-59', 'order': 192, 'powers': [249, 165, 424], 'representative': 325, 'size': 193}
  • id: 105851867
    {'aut_label': '192A61', 'centralizer': '193.a1.a1', 'counter': 425, 'group_counter': 1, 'group_order': 111168, 'label': '192B61', 'order': 192, 'powers': [248, 164, 425], 'representative': 253, 'size': 193}
  • id: 105851868
    {'aut_label': '192A-61', 'centralizer': '193.a1.a1', 'counter': 426, 'group_counter': 1, 'group_order': 111168, 'label': '192B-61', 'order': 192, 'powers': [247, 163, 426], 'representative': 515, 'size': 193}
  • id: 105851869
    {'aut_label': '192A65', 'centralizer': '193.a1.a1', 'counter': 427, 'group_counter': 1, 'group_order': 111168, 'label': '192B65', 'order': 192, 'powers': [246, 161, 427], 'representative': 449, 'size': 193}
  • id: 105851870
    {'aut_label': '192A-65', 'centralizer': '193.a1.a1', 'counter': 428, 'group_counter': 1, 'group_order': 111168, 'label': '192B-65', 'order': 192, 'powers': [245, 162, 428], 'representative': 319, 'size': 193}
  • id: 105851871
    {'aut_label': '192A67', 'centralizer': '193.a1.a1', 'counter': 429, 'group_counter': 1, 'group_order': 111168, 'label': '192B67', 'order': 192, 'powers': [244, 163, 429], 'representative': 259, 'size': 193}
  • id: 105851873
    {'aut_label': '192A-67', 'centralizer': '193.a1.a1', 'counter': 430, 'group_counter': 1, 'group_order': 111168, 'label': '192B-67', 'order': 192, 'powers': [243, 164, 430], 'representative': 509, 'size': 193}
  • id: 105851874
    {'aut_label': '192A71', 'centralizer': '193.a1.a1', 'counter': 431, 'group_counter': 1, 'group_order': 111168, 'label': '192B71', 'order': 192, 'powers': [242, 167, 431], 'representative': 455, 'size': 193}
  • id: 105851875
    {'aut_label': '192A-71', 'centralizer': '193.a1.a1', 'counter': 432, 'group_counter': 1, 'group_order': 111168, 'label': '192B-71', 'order': 192, 'powers': [241, 168, 432], 'representative': 313, 'size': 193}
  • id: 105851876
    {'aut_label': '192A73', 'centralizer': '193.a1.a1', 'counter': 433, 'group_counter': 1, 'group_order': 111168, 'label': '192B73', 'order': 192, 'powers': [240, 169, 433], 'representative': 265, 'size': 193}
  • id: 105851877
    {'aut_label': '192A-73', 'centralizer': '193.a1.a1', 'counter': 434, 'group_counter': 1, 'group_order': 111168, 'label': '192B-73', 'order': 192, 'powers': [239, 170, 434], 'representative': 503, 'size': 193}
  • id: 105851878
    {'aut_label': '192A77', 'centralizer': '193.a1.a1', 'counter': 435, 'group_counter': 1, 'group_order': 111168, 'label': '192B77', 'order': 192, 'powers': [238, 173, 435], 'representative': 461, 'size': 193}
  • id: 105851879
    {'aut_label': '192A-77', 'centralizer': '193.a1.a1', 'counter': 436, 'group_counter': 1, 'group_order': 111168, 'label': '192B-77', 'order': 192, 'powers': [237, 174, 436], 'representative': 307, 'size': 193}
  • id: 105851880
    {'aut_label': '192A79', 'centralizer': '193.a1.a1', 'counter': 437, 'group_counter': 1, 'group_order': 111168, 'label': '192B79', 'order': 192, 'powers': [236, 175, 437], 'representative': 271, 'size': 193}
  • id: 105851881
    {'aut_label': '192A-79', 'centralizer': '193.a1.a1', 'counter': 438, 'group_counter': 1, 'group_order': 111168, 'label': '192B-79', 'order': 192, 'powers': [235, 176, 438], 'representative': 497, 'size': 193}
  • id: 105851882
    {'aut_label': '192A83', 'centralizer': '193.a1.a1', 'counter': 439, 'group_counter': 1, 'group_order': 111168, 'label': '192B83', 'order': 192, 'powers': [234, 179, 439], 'representative': 467, 'size': 193}
  • id: 105851884
    {'aut_label': '192A-83', 'centralizer': '193.a1.a1', 'counter': 440, 'group_counter': 1, 'group_order': 111168, 'label': '192B-83', 'order': 192, 'powers': [233, 180, 440], 'representative': 301, 'size': 193}
  • id: 105851885
    {'aut_label': '192A85', 'centralizer': '193.a1.a1', 'counter': 441, 'group_counter': 1, 'group_order': 111168, 'label': '192B85', 'order': 192, 'powers': [232, 181, 441], 'representative': 277, 'size': 193}
  • id: 105851886
    {'aut_label': '192A-85', 'centralizer': '193.a1.a1', 'counter': 442, 'group_counter': 1, 'group_order': 111168, 'label': '192B-85', 'order': 192, 'powers': [231, 182, 442], 'representative': 491, 'size': 193}
  • id: 105851887
    {'aut_label': '192A89', 'centralizer': '193.a1.a1', 'counter': 443, 'group_counter': 1, 'group_order': 111168, 'label': '192B89', 'order': 192, 'powers': [230, 185, 443], 'representative': 473, 'size': 193}
  • id: 105851888
    {'aut_label': '192A-89', 'centralizer': '193.a1.a1', 'counter': 444, 'group_counter': 1, 'group_order': 111168, 'label': '192B-89', 'order': 192, 'powers': [229, 186, 444], 'representative': 295, 'size': 193}
  • id: 105851889
    {'aut_label': '192A91', 'centralizer': '193.a1.a1', 'counter': 445, 'group_counter': 1, 'group_order': 111168, 'label': '192B91', 'order': 192, 'powers': [228, 187, 445], 'representative': 283, 'size': 193}
  • id: 105851890
    {'aut_label': '192A-91', 'centralizer': '193.a1.a1', 'counter': 446, 'group_counter': 1, 'group_order': 111168, 'label': '192B-91', 'order': 192, 'powers': [227, 188, 446], 'representative': 485, 'size': 193}
  • id: 105851891
    {'aut_label': '192A95', 'centralizer': '193.a1.a1', 'counter': 447, 'group_counter': 1, 'group_order': 111168, 'label': '192B95', 'order': 192, 'powers': [226, 191, 447], 'representative': 479, 'size': 193}
  • id: 105851892
    {'aut_label': '192A-95', 'centralizer': '193.a1.a1', 'counter': 448, 'group_counter': 1, 'group_order': 111168, 'label': '192B-95', 'order': 192, 'powers': [225, 192, 448], 'representative': 289, 'size': 193}
  • id: 105851893
    {'aut_label': '192A1', 'centralizer': '193.a1.a1', 'counter': 449, 'group_counter': 1, 'group_order': 111168, 'label': '192C1', 'order': 192, 'powers': [257, 161, 449], 'representative': 385, 'size': 193}
  • id: 105851895
    {'aut_label': '192A-1', 'centralizer': '193.a1.a1', 'counter': 450, 'group_counter': 1, 'group_order': 111168, 'label': '192C-1', 'order': 192, 'powers': [258, 162, 450], 'representative': 383, 'size': 193}
  • id: 105851896
    {'aut_label': '192A5', 'centralizer': '193.a1.a1', 'counter': 451, 'group_counter': 1, 'group_order': 111168, 'label': '192C5', 'order': 192, 'powers': [259, 165, 451], 'representative': 197, 'size': 193}
  • id: 105851897
    {'aut_label': '192A-5', 'centralizer': '193.a1.a1', 'counter': 452, 'group_counter': 1, 'group_order': 111168, 'label': '192C-5', 'order': 192, 'powers': [260, 166, 452], 'representative': 571, 'size': 193}
  • id: 105851898
    {'aut_label': '192A7', 'centralizer': '193.a1.a1', 'counter': 453, 'group_counter': 1, 'group_order': 111168, 'label': '192C7', 'order': 192, 'powers': [261, 167, 453], 'representative': 391, 'size': 193}
  • id: 105851899
    {'aut_label': '192A-7', 'centralizer': '193.a1.a1', 'counter': 454, 'group_counter': 1, 'group_order': 111168, 'label': '192C-7', 'order': 192, 'powers': [262, 168, 454], 'representative': 377, 'size': 193}
  • id: 105851900
    {'aut_label': '192A11', 'centralizer': '193.a1.a1', 'counter': 455, 'group_counter': 1, 'group_order': 111168, 'label': '192C11', 'order': 192, 'powers': [263, 171, 455], 'representative': 203, 'size': 193}
  • id: 105851901
    {'aut_label': '192A-11', 'centralizer': '193.a1.a1', 'counter': 456, 'group_counter': 1, 'group_order': 111168, 'label': '192C-11', 'order': 192, 'powers': [264, 172, 456], 'representative': 565, 'size': 193}
  • id: 105851902
    {'aut_label': '192A13', 'centralizer': '193.a1.a1', 'counter': 457, 'group_counter': 1, 'group_order': 111168, 'label': '192C13', 'order': 192, 'powers': [265, 173, 457], 'representative': 397, 'size': 193}
  • id: 105851903
    {'aut_label': '192A-13', 'centralizer': '193.a1.a1', 'counter': 458, 'group_counter': 1, 'group_order': 111168, 'label': '192C-13', 'order': 192, 'powers': [266, 174, 458], 'representative': 371, 'size': 193}
  • id: 105851904
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  • id: 105851906
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  • id: 105851907
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  • id: 105851908
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  • id: 105851909
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  • id: 105851910
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  • id: 105851911
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  • id: 105851912
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  • id: 105851913
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  • id: 105851914
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  • id: 105851915
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  • id: 105851917
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  • id: 105851918
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  • id: 105851919
    {'aut_label': '192A-35', 'centralizer': '193.a1.a1', 'counter': 472, 'group_counter': 1, 'group_order': 111168, 'label': '192C-35', 'order': 192, 'powers': [280, 189, 472], 'representative': 541, 'size': 193}
  • id: 105851920
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  • id: 105851921
    {'aut_label': '192A-37', 'centralizer': '193.a1.a1', 'counter': 474, 'group_counter': 1, 'group_order': 111168, 'label': '192C-37', 'order': 192, 'powers': [282, 187, 474], 'representative': 347, 'size': 193}
  • id: 105851922
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  • id: 105851923
    {'aut_label': '192A-41', 'centralizer': '193.a1.a1', 'counter': 476, 'group_counter': 1, 'group_order': 111168, 'label': '192C-41', 'order': 192, 'powers': [284, 183, 476], 'representative': 535, 'size': 193}
  • id: 105851924
    {'aut_label': '192A43', 'centralizer': '193.a1.a1', 'counter': 477, 'group_counter': 1, 'group_order': 111168, 'label': '192C43', 'order': 192, 'powers': [285, 182, 477], 'representative': 427, 'size': 193}
  • id: 105851925
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  • id: 105851926
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  • id: 105851928
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  • id: 105851929
    {'aut_label': '192A49', 'centralizer': '193.a1.a1', 'counter': 481, 'group_counter': 1, 'group_order': 111168, 'label': '192C49', 'order': 192, 'powers': [288, 176, 481], 'representative': 433, 'size': 193}
  • id: 105851930
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  • id: 105851931
    {'aut_label': '192A53', 'centralizer': '193.a1.a1', 'counter': 483, 'group_counter': 1, 'group_order': 111168, 'label': '192C53', 'order': 192, 'powers': [286, 172, 483], 'representative': 245, 'size': 193}
  • id: 105851932
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  • id: 105851933
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  • id: 105851934
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  • id: 105851935
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  • id: 105851936
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  • id: 105851937
    {'aut_label': '192A61', 'centralizer': '193.a1.a1', 'counter': 489, 'group_counter': 1, 'group_order': 111168, 'label': '192C61', 'order': 192, 'powers': [280, 164, 489], 'representative': 445, 'size': 193}
  • id: 105851939
    {'aut_label': '192A-61', 'centralizer': '193.a1.a1', 'counter': 490, 'group_counter': 1, 'group_order': 111168, 'label': '192C-61', 'order': 192, 'powers': [279, 163, 490], 'representative': 323, 'size': 193}
  • id: 105851940
    {'aut_label': '192A65', 'centralizer': '193.a1.a1', 'counter': 491, 'group_counter': 1, 'group_order': 111168, 'label': '192C65', 'order': 192, 'powers': [278, 161, 491], 'representative': 257, 'size': 193}
  • id: 105851941
    {'aut_label': '192A-65', 'centralizer': '193.a1.a1', 'counter': 492, 'group_counter': 1, 'group_order': 111168, 'label': '192C-65', 'order': 192, 'powers': [277, 162, 492], 'representative': 511, 'size': 193}
  • id: 105851942
    {'aut_label': '192A67', 'centralizer': '193.a1.a1', 'counter': 493, 'group_counter': 1, 'group_order': 111168, 'label': '192C67', 'order': 192, 'powers': [276, 163, 493], 'representative': 451, 'size': 193}
  • id: 105851943
    {'aut_label': '192A-67', 'centralizer': '193.a1.a1', 'counter': 494, 'group_counter': 1, 'group_order': 111168, 'label': '192C-67', 'order': 192, 'powers': [275, 164, 494], 'representative': 317, 'size': 193}
  • id: 105851944
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  • id: 105851945
    {'aut_label': '192A-71', 'centralizer': '193.a1.a1', 'counter': 496, 'group_counter': 1, 'group_order': 111168, 'label': '192C-71', 'order': 192, 'powers': [273, 168, 496], 'representative': 505, 'size': 193}
  • id: 105851946
    {'aut_label': '192A73', 'centralizer': '193.a1.a1', 'counter': 497, 'group_counter': 1, 'group_order': 111168, 'label': '192C73', 'order': 192, 'powers': [272, 169, 497], 'representative': 457, 'size': 193}
  • id: 105851947
    {'aut_label': '192A-73', 'centralizer': '193.a1.a1', 'counter': 498, 'group_counter': 1, 'group_order': 111168, 'label': '192C-73', 'order': 192, 'powers': [271, 170, 498], 'representative': 311, 'size': 193}
  • id: 105851948
    {'aut_label': '192A77', 'centralizer': '193.a1.a1', 'counter': 499, 'group_counter': 1, 'group_order': 111168, 'label': '192C77', 'order': 192, 'powers': [270, 173, 499], 'representative': 269, 'size': 193}
  • id: 105851951
    {'aut_label': '192A-77', 'centralizer': '193.a1.a1', 'counter': 500, 'group_counter': 1, 'group_order': 111168, 'label': '192C-77', 'order': 192, 'powers': [269, 174, 500], 'representative': 499, 'size': 193}
  • id: 105851952
    {'aut_label': '192A79', 'centralizer': '193.a1.a1', 'counter': 501, 'group_counter': 1, 'group_order': 111168, 'label': '192C79', 'order': 192, 'powers': [268, 175, 501], 'representative': 463, 'size': 193}
  • id: 105851953
    {'aut_label': '192A-79', 'centralizer': '193.a1.a1', 'counter': 502, 'group_counter': 1, 'group_order': 111168, 'label': '192C-79', 'order': 192, 'powers': [267, 176, 502], 'representative': 305, 'size': 193}
  • id: 105851954
    {'aut_label': '192A83', 'centralizer': '193.a1.a1', 'counter': 503, 'group_counter': 1, 'group_order': 111168, 'label': '192C83', 'order': 192, 'powers': [266, 179, 503], 'representative': 275, 'size': 193}
  • id: 105851955
    {'aut_label': '192A-83', 'centralizer': '193.a1.a1', 'counter': 504, 'group_counter': 1, 'group_order': 111168, 'label': '192C-83', 'order': 192, 'powers': [265, 180, 504], 'representative': 493, 'size': 193}
  • id: 105851956
    {'aut_label': '192A85', 'centralizer': '193.a1.a1', 'counter': 505, 'group_counter': 1, 'group_order': 111168, 'label': '192C85', 'order': 192, 'powers': [264, 181, 505], 'representative': 469, 'size': 193}
  • id: 105851957
    {'aut_label': '192A-85', 'centralizer': '193.a1.a1', 'counter': 506, 'group_counter': 1, 'group_order': 111168, 'label': '192C-85', 'order': 192, 'powers': [263, 182, 506], 'representative': 299, 'size': 193}
  • id: 105851958
    {'aut_label': '192A89', 'centralizer': '193.a1.a1', 'counter': 507, 'group_counter': 1, 'group_order': 111168, 'label': '192C89', 'order': 192, 'powers': [262, 185, 507], 'representative': 281, 'size': 193}
  • id: 105851959
    {'aut_label': '192A-89', 'centralizer': '193.a1.a1', 'counter': 508, 'group_counter': 1, 'group_order': 111168, 'label': '192C-89', 'order': 192, 'powers': [261, 186, 508], 'representative': 487, 'size': 193}
  • id: 105851960
    {'aut_label': '192A91', 'centralizer': '193.a1.a1', 'counter': 509, 'group_counter': 1, 'group_order': 111168, 'label': '192C91', 'order': 192, 'powers': [260, 187, 509], 'representative': 475, 'size': 193}
  • id: 105851962
    {'aut_label': '192A-91', 'centralizer': '193.a1.a1', 'counter': 510, 'group_counter': 1, 'group_order': 111168, 'label': '192C-91', 'order': 192, 'powers': [259, 188, 510], 'representative': 293, 'size': 193}
  • id: 105851963
    {'aut_label': '192A95', 'centralizer': '193.a1.a1', 'counter': 511, 'group_counter': 1, 'group_order': 111168, 'label': '192C95', 'order': 192, 'powers': [258, 191, 511], 'representative': 287, 'size': 193}
  • id: 105851964
    {'aut_label': '192A-95', 'centralizer': '193.a1.a1', 'counter': 512, 'group_counter': 1, 'group_order': 111168, 'label': '192C-95', 'order': 192, 'powers': [257, 192, 512], 'representative': 481, 'size': 193}
  • id: 105851965
    {'aut_label': '192D1', 'centralizer': '193.a1.a1', 'counter': 513, 'group_counter': 1, 'group_order': 111168, 'label': '192D1', 'order': 192, 'powers': [289, 192, 513], 'representative': 225, 'size': 193}
  • id: 105851966
    {'aut_label': '192D-1', 'centralizer': '193.a1.a1', 'counter': 514, 'group_counter': 1, 'group_order': 111168, 'label': '192D-1', 'order': 192, 'powers': [290, 191, 514], 'representative': 543, 'size': 193}
  • id: 105851967
    {'aut_label': '192D5', 'centralizer': '193.a1.a1', 'counter': 515, 'group_counter': 1, 'group_order': 111168, 'label': '192D5', 'order': 192, 'powers': [291, 188, 515], 'representative': 549, 'size': 193}
  • id: 105851968
    {'aut_label': '192D-5', 'centralizer': '193.a1.a1', 'counter': 516, 'group_counter': 1, 'group_order': 111168, 'label': '192D-5', 'order': 192, 'powers': [292, 187, 516], 'representative': 219, 'size': 193}
  • id: 105851969
    {'aut_label': '192D7', 'centralizer': '193.a1.a1', 'counter': 517, 'group_counter': 1, 'group_order': 111168, 'label': '192D7', 'order': 192, 'powers': [293, 186, 517], 'representative': 231, 'size': 193}
  • id: 105851970
    {'aut_label': '192D-7', 'centralizer': '193.a1.a1', 'counter': 518, 'group_counter': 1, 'group_order': 111168, 'label': '192D-7', 'order': 192, 'powers': [294, 185, 518], 'representative': 537, 'size': 193}
  • id: 105851971
    {'aut_label': '192D11', 'centralizer': '193.a1.a1', 'counter': 519, 'group_counter': 1, 'group_order': 111168, 'label': '192D11', 'order': 192, 'powers': [295, 182, 519], 'representative': 555, 'size': 193}
  • id: 105851973
    {'aut_label': '192D-11', 'centralizer': '193.a1.a1', 'counter': 520, 'group_counter': 1, 'group_order': 111168, 'label': '192D-11', 'order': 192, 'powers': [296, 181, 520], 'representative': 213, 'size': 193}
  • id: 105851974
    {'aut_label': '192D13', 'centralizer': '193.a1.a1', 'counter': 521, 'group_counter': 1, 'group_order': 111168, 'label': '192D13', 'order': 192, 'powers': [297, 180, 521], 'representative': 237, 'size': 193}
  • id: 105851975
    {'aut_label': '192D-13', 'centralizer': '193.a1.a1', 'counter': 522, 'group_counter': 1, 'group_order': 111168, 'label': '192D-13', 'order': 192, 'powers': [298, 179, 522], 'representative': 531, 'size': 193}
  • id: 105851976
    {'aut_label': '192D17', 'centralizer': '193.a1.a1', 'counter': 523, 'group_counter': 1, 'group_order': 111168, 'label': '192D17', 'order': 192, 'powers': [299, 176, 523], 'representative': 561, 'size': 193}
  • id: 105851977
    {'aut_label': '192D-17', 'centralizer': '193.a1.a1', 'counter': 524, 'group_counter': 1, 'group_order': 111168, 'label': '192D-17', 'order': 192, 'powers': [300, 175, 524], 'representative': 207, 'size': 193}
  • id: 105851978
    {'aut_label': '192D19', 'centralizer': '193.a1.a1', 'counter': 525, 'group_counter': 1, 'group_order': 111168, 'label': '192D19', 'order': 192, 'powers': [301, 174, 525], 'representative': 243, 'size': 193}
  • id: 105851979
    {'aut_label': '192D-19', 'centralizer': '193.a1.a1', 'counter': 526, 'group_counter': 1, 'group_order': 111168, 'label': '192D-19', 'order': 192, 'powers': [302, 173, 526], 'representative': 525, 'size': 193}
  • id: 105851980
    {'aut_label': '192D23', 'centralizer': '193.a1.a1', 'counter': 527, 'group_counter': 1, 'group_order': 111168, 'label': '192D23', 'order': 192, 'powers': [303, 170, 527], 'representative': 567, 'size': 193}
  • id: 105851981
    {'aut_label': '192D-23', 'centralizer': '193.a1.a1', 'counter': 528, 'group_counter': 1, 'group_order': 111168, 'label': '192D-23', 'order': 192, 'powers': [304, 169, 528], 'representative': 201, 'size': 193}
  • id: 105851982
    {'aut_label': '192D25', 'centralizer': '193.a1.a1', 'counter': 529, 'group_counter': 1, 'group_order': 111168, 'label': '192D25', 'order': 192, 'powers': [305, 168, 529], 'representative': 249, 'size': 193}
  • id: 105851984
    {'aut_label': '192D-25', 'centralizer': '193.a1.a1', 'counter': 530, 'group_counter': 1, 'group_order': 111168, 'label': '192D-25', 'order': 192, 'powers': [306, 167, 530], 'representative': 519, 'size': 193}
  • id: 105851985
    {'aut_label': '192D29', 'centralizer': '193.a1.a1', 'counter': 531, 'group_counter': 1, 'group_order': 111168, 'label': '192D29', 'order': 192, 'powers': [307, 164, 531], 'representative': 573, 'size': 193}
  • id: 105851986
    {'aut_label': '192D-29', 'centralizer': '193.a1.a1', 'counter': 532, 'group_counter': 1, 'group_order': 111168, 'label': '192D-29', 'order': 192, 'powers': [308, 163, 532], 'representative': 195, 'size': 193}
  • id: 105851987
    {'aut_label': '192D31', 'centralizer': '193.a1.a1', 'counter': 533, 'group_counter': 1, 'group_order': 111168, 'label': '192D31', 'order': 192, 'powers': [309, 162, 533], 'representative': 255, 'size': 193}
  • id: 105851988
    {'aut_label': '192D-31', 'centralizer': '193.a1.a1', 'counter': 534, 'group_counter': 1, 'group_order': 111168, 'label': '192D-31', 'order': 192, 'powers': [310, 161, 534], 'representative': 513, 'size': 193}
  • id: 105851989
    {'aut_label': '192D-29', 'centralizer': '193.a1.a1', 'counter': 535, 'group_counter': 1, 'group_order': 111168, 'label': '192D35', 'order': 192, 'powers': [311, 163, 535], 'representative': 387, 'size': 193}
  • id: 105851990
    {'aut_label': '192D29', 'centralizer': '193.a1.a1', 'counter': 536, 'group_counter': 1, 'group_order': 111168, 'label': '192D-35', 'order': 192, 'powers': [312, 164, 536], 'representative': 381, 'size': 193}
  • id: 105851991
    {'aut_label': '192D37', 'centralizer': '193.a1.a1', 'counter': 537, 'group_counter': 1, 'group_order': 111168, 'label': '192D37', 'order': 192, 'powers': [313, 165, 537], 'representative': 261, 'size': 193}
  • id: 105851992
    {'aut_label': '192D-37', 'centralizer': '193.a1.a1', 'counter': 538, 'group_counter': 1, 'group_order': 111168, 'label': '192D-37', 'order': 192, 'powers': [314, 166, 538], 'representative': 507, 'size': 193}
  • id: 105851993
    {'aut_label': '192D-23', 'centralizer': '193.a1.a1', 'counter': 539, 'group_counter': 1, 'group_order': 111168, 'label': '192D41', 'order': 192, 'powers': [315, 169, 539], 'representative': 393, 'size': 193}
  • id: 105851995
    {'aut_label': '192D23', 'centralizer': '193.a1.a1', 'counter': 540, 'group_counter': 1, 'group_order': 111168, 'label': '192D-41', 'order': 192, 'powers': [316, 170, 540], 'representative': 375, 'size': 193}
  • id: 105851996
    {'aut_label': '192D43', 'centralizer': '193.a1.a1', 'counter': 541, 'group_counter': 1, 'group_order': 111168, 'label': '192D43', 'order': 192, 'powers': [317, 171, 541], 'representative': 267, 'size': 193}
  • id: 105851997
    {'aut_label': '192D-43', 'centralizer': '193.a1.a1', 'counter': 542, 'group_counter': 1, 'group_order': 111168, 'label': '192D-43', 'order': 192, 'powers': [318, 172, 542], 'representative': 501, 'size': 193}
  • id: 105851998
    {'aut_label': '192D-17', 'centralizer': '193.a1.a1', 'counter': 543, 'group_counter': 1, 'group_order': 111168, 'label': '192D47', 'order': 192, 'powers': [319, 175, 543], 'representative': 399, 'size': 193}
  • id: 105851999
    {'aut_label': '192D17', 'centralizer': '193.a1.a1', 'counter': 544, 'group_counter': 1, 'group_order': 111168, 'label': '192D-47', 'order': 192, 'powers': [320, 176, 544], 'representative': 369, 'size': 193}
  • id: 105852000
    {'aut_label': '192D49', 'centralizer': '193.a1.a1', 'counter': 545, 'group_counter': 1, 'group_order': 111168, 'label': '192D49', 'order': 192, 'powers': [320, 177, 545], 'representative': 273, 'size': 193}
  • id: 105852001
    {'aut_label': '192D-49', 'centralizer': '193.a1.a1', 'counter': 546, 'group_counter': 1, 'group_order': 111168, 'label': '192D-49', 'order': 192, 'powers': [319, 178, 546], 'representative': 495, 'size': 193}
  • id: 105852002
    {'aut_label': '192D-11', 'centralizer': '193.a1.a1', 'counter': 547, 'group_counter': 1, 'group_order': 111168, 'label': '192D53', 'order': 192, 'powers': [318, 181, 547], 'representative': 405, 'size': 193}
  • id: 105852003
    {'aut_label': '192D11', 'centralizer': '193.a1.a1', 'counter': 548, 'group_counter': 1, 'group_order': 111168, 'label': '192D-53', 'order': 192, 'powers': [317, 182, 548], 'representative': 363, 'size': 193}
  • id: 105852004
    {'aut_label': '192D55', 'centralizer': '193.a1.a1', 'counter': 549, 'group_counter': 1, 'group_order': 111168, 'label': '192D55', 'order': 192, 'powers': [316, 183, 549], 'representative': 279, 'size': 193}
  • id: 105852006
    {'aut_label': '192D-55', 'centralizer': '193.a1.a1', 'counter': 550, 'group_counter': 1, 'group_order': 111168, 'label': '192D-55', 'order': 192, 'powers': [315, 184, 550], 'representative': 489, 'size': 193}
  • id: 105852007
    {'aut_label': '192D-5', 'centralizer': '193.a1.a1', 'counter': 551, 'group_counter': 1, 'group_order': 111168, 'label': '192D59', 'order': 192, 'powers': [314, 187, 551], 'representative': 411, 'size': 193}
  • id: 105852008
    {'aut_label': '192D5', 'centralizer': '193.a1.a1', 'counter': 552, 'group_counter': 1, 'group_order': 111168, 'label': '192D-59', 'order': 192, 'powers': [313, 188, 552], 'representative': 357, 'size': 193}
  • id: 105852009
    {'aut_label': '192D61', 'centralizer': '193.a1.a1', 'counter': 553, 'group_counter': 1, 'group_order': 111168, 'label': '192D61', 'order': 192, 'powers': [312, 189, 553], 'representative': 285, 'size': 193}
  • id: 105852010
    {'aut_label': '192D-61', 'centralizer': '193.a1.a1', 'counter': 554, 'group_counter': 1, 'group_order': 111168, 'label': '192D-61', 'order': 192, 'powers': [311, 190, 554], 'representative': 483, 'size': 193}
  • id: 105852011
    {'aut_label': '192D1', 'centralizer': '193.a1.a1', 'counter': 555, 'group_counter': 1, 'group_order': 111168, 'label': '192D65', 'order': 192, 'powers': [310, 192, 555], 'representative': 417, 'size': 193}
  • id: 105852012
    {'aut_label': '192D-1', 'centralizer': '193.a1.a1', 'counter': 556, 'group_counter': 1, 'group_order': 111168, 'label': '192D-65', 'order': 192, 'powers': [309, 191, 556], 'representative': 351, 'size': 193}
  • id: 105852013
    {'aut_label': '192D-61', 'centralizer': '193.a1.a1', 'counter': 557, 'group_counter': 1, 'group_order': 111168, 'label': '192D67', 'order': 192, 'powers': [308, 190, 557], 'representative': 291, 'size': 193}
  • id: 105852014
    {'aut_label': '192D61', 'centralizer': '193.a1.a1', 'counter': 558, 'group_counter': 1, 'group_order': 111168, 'label': '192D-67', 'order': 192, 'powers': [307, 189, 558], 'representative': 477, 'size': 193}
  • id: 105852015
    {'aut_label': '192D7', 'centralizer': '193.a1.a1', 'counter': 559, 'group_counter': 1, 'group_order': 111168, 'label': '192D71', 'order': 192, 'powers': [306, 186, 559], 'representative': 423, 'size': 193}
  • id: 105852017
    {'aut_label': '192D-7', 'centralizer': '193.a1.a1', 'counter': 560, 'group_counter': 1, 'group_order': 111168, 'label': '192D-71', 'order': 192, 'powers': [305, 185, 560], 'representative': 345, 'size': 193}
  • id: 105852018
    {'aut_label': '192D-55', 'centralizer': '193.a1.a1', 'counter': 561, 'group_counter': 1, 'group_order': 111168, 'label': '192D73', 'order': 192, 'powers': [304, 184, 561], 'representative': 297, 'size': 193}
  • id: 105852019
    {'aut_label': '192D55', 'centralizer': '193.a1.a1', 'counter': 562, 'group_counter': 1, 'group_order': 111168, 'label': '192D-73', 'order': 192, 'powers': [303, 183, 562], 'representative': 471, 'size': 193}
  • id: 105852020
    {'aut_label': '192D13', 'centralizer': '193.a1.a1', 'counter': 563, 'group_counter': 1, 'group_order': 111168, 'label': '192D77', 'order': 192, 'powers': [302, 180, 563], 'representative': 429, 'size': 193}
  • id: 105852021
    {'aut_label': '192D-13', 'centralizer': '193.a1.a1', 'counter': 564, 'group_counter': 1, 'group_order': 111168, 'label': '192D-77', 'order': 192, 'powers': [301, 179, 564], 'representative': 339, 'size': 193}
  • id: 105852022
    {'aut_label': '192D-49', 'centralizer': '193.a1.a1', 'counter': 565, 'group_counter': 1, 'group_order': 111168, 'label': '192D79', 'order': 192, 'powers': [300, 178, 565], 'representative': 303, 'size': 193}
  • id: 105852023
    {'aut_label': '192D49', 'centralizer': '193.a1.a1', 'counter': 566, 'group_counter': 1, 'group_order': 111168, 'label': '192D-79', 'order': 192, 'powers': [299, 177, 566], 'representative': 465, 'size': 193}
  • id: 105852024
    {'aut_label': '192D19', 'centralizer': '193.a1.a1', 'counter': 567, 'group_counter': 1, 'group_order': 111168, 'label': '192D83', 'order': 192, 'powers': [298, 174, 567], 'representative': 435, 'size': 193}
  • id: 105852025
    {'aut_label': '192D-19', 'centralizer': '193.a1.a1', 'counter': 568, 'group_counter': 1, 'group_order': 111168, 'label': '192D-83', 'order': 192, 'powers': [297, 173, 568], 'representative': 333, 'size': 193}
  • id: 105852026
    {'aut_label': '192D-43', 'centralizer': '193.a1.a1', 'counter': 569, 'group_counter': 1, 'group_order': 111168, 'label': '192D85', 'order': 192, 'powers': [296, 172, 569], 'representative': 309, 'size': 193}
  • id: 105852028
    {'aut_label': '192D43', 'centralizer': '193.a1.a1', 'counter': 570, 'group_counter': 1, 'group_order': 111168, 'label': '192D-85', 'order': 192, 'powers': [295, 171, 570], 'representative': 459, 'size': 193}
  • id: 105852029
    {'aut_label': '192D25', 'centralizer': '193.a1.a1', 'counter': 571, 'group_counter': 1, 'group_order': 111168, 'label': '192D89', 'order': 192, 'powers': [294, 168, 571], 'representative': 441, 'size': 193}
  • id: 105852030
    {'aut_label': '192D-25', 'centralizer': '193.a1.a1', 'counter': 572, 'group_counter': 1, 'group_order': 111168, 'label': '192D-89', 'order': 192, 'powers': [293, 167, 572], 'representative': 327, 'size': 193}
  • id: 105852031
    {'aut_label': '192D-37', 'centralizer': '193.a1.a1', 'counter': 573, 'group_counter': 1, 'group_order': 111168, 'label': '192D91', 'order': 192, 'powers': [292, 166, 573], 'representative': 315, 'size': 193}
  • id: 105852032
    {'aut_label': '192D37', 'centralizer': '193.a1.a1', 'counter': 574, 'group_counter': 1, 'group_order': 111168, 'label': '192D-91', 'order': 192, 'powers': [291, 165, 574], 'representative': 453, 'size': 193}
  • id: 105852033
    {'aut_label': '192D31', 'centralizer': '193.a1.a1', 'counter': 575, 'group_counter': 1, 'group_order': 111168, 'label': '192D95', 'order': 192, 'powers': [290, 162, 575], 'representative': 447, 'size': 193}
  • id: 105852034
    {'aut_label': '192D-31', 'centralizer': '193.a1.a1', 'counter': 576, 'group_counter': 1, 'group_order': 111168, 'label': '192D-95', 'order': 192, 'powers': [289, 161, 576], 'representative': 321, 'size': 193}
  • id: 105852035
    {'aut_label': '193A', 'centralizer': '192.a1.a1', 'counter': 577, 'group_counter': 1, 'group_order': 111168, 'label': '193A', 'order': 193, 'powers': [577, 577, 1], 'representative': 576, 'size': 192}
  • id: 105852036
    {'aut_label': '579A1', 'centralizer': '192.a1.a1', 'counter': 578, 'group_counter': 1, 'group_order': 111168, 'label': '579A1', 'order': 579, 'powers': [579, 577, 3], 'representative': 192, 'size': 192}
  • id: 105852037
    {'aut_label': '579A1', 'centralizer': '192.a1.a1', 'counter': 579, 'group_counter': 1, 'group_order': 111168, 'label': '579A-1', 'order': 579, 'powers': [578, 577, 4], 'representative': 384, 'size': 192}
• gps_qchar •

  Column	Type
  cdim	integer
  counter	smallint
  faithful	boolean
  group	text
  group_order	numeric
  image	text
  label	text
  multiplicity	smallint
  nt	integer[]
  qdim	integer
  qvalues	integer[]
  schur_index	smallint

  
  
  • id: 3631165
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '111168.a', 'group_order': 111168, 'image': None, 'label': '111168.a.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3631176
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '111168.a', 'group_order': 111168, 'image': None, 'label': '111168.a.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1], 'schur_index': 1}
  • id: 3631187
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '111168.a', 'group_order': 111168, 'image': None, 'label': '111168.a.1c', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, -1, -1, -1, -1, 2, -1, 2, -1, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, 2, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, 2, -1, -1, 2, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, 2, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, 2, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1], 'schur_index': 1}
  • id: 3631196
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  • id: 3631197
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  • id: 3631198
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  • id: 3631200
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  • id: 3631201
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  • id: 3631166
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  • id: 3631167
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  • id: 3631168
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '111168.a', 'group_order': 111168, 'image': None, 'label': '111168.a.1l', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4], 'schur_index': 1}
  • id: 3631169
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '111168.a', 'group_order': 111168, 'image': None, 'label': '111168.a.1m', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -2, -2, -2, -2, 4, -2, 4, -2, 4, 4, -2, -2, 4, -2, -2, 4, -2, -2, 4, 4, 4, 4, -2, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, -2, 4, -2, 4, 4, 4, 4, 4, 4, 4, 4, -2, 4, -2, 4, -2, 4, -2, -2, -2, -2, -2, -2, 4, -2, 4, -2, -2, -2, -2, -2, 4, 4, -2, -2, -2, -2, -2, 4, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, -2, -2, -2, -2, -2, -2, -2, 4, -2, 4, 4, -2, -2, -2, 4, -2, 4, -2, -2, -2, -2, -2, 4, -2, -2, 4, -2, 4, -2, -2, -2, -2, -2, 4, -2, -2, -2, -2, -2, 4, -2, -2, -2, -2, -2, -2, 4, -2, -2, -2, -2, -2, -2, -2, 4, -2, -2, 4, 4, -2, 4, -2, -2, 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, 2, -4, 2, -4, -4, 2, 2, 2, 2, 2, 2, -4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -4, -4, -4, 2, 2, 2, 2, 2, -4, -4, -4, 2, 2, -4, 2, 2, 2, 2, -4, -4, 2, 2, 2, 2, 2, 2, 2, -4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -4, -4, 2, -4, 2, 2, -4, 2, 2, -4, -4, 2, 2, 2, 2, -4, 2, 2, 2, 2, -4, 2, 2, 2, 2, -4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -4, -4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -4, -4, 2, -4, -4, -4, -4, 2, 2, 2, 2, 2, -4, 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, 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, 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, 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, 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, 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, 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, 0, 0, 0, 0, 4, -2, -2], 'schur_index': 1}
  • id: 3631170
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '111168.a', 'group_order': 111168, 'image': None, 'label': '111168.a.1n', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -2, -2, -2, 4, -2, -2, -2, 4, 4, 4, -2, 4, -2, -2, -2, -2, 4, -2, 4, 4, 4, 4, -2, -2, -2, -2, 4, -2, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, 4, 4, 4, 4, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, 4, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, -2, -2, -2, -2, -2, 4, 4, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -2, 4, -2, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, -2, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, -2, -2, 4, 4, -2, -2, -2, 4, -2, 4, -2, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, 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, 2, 2, 2, 2, 2, 2, -4, 2, -4, -4, 2, 2, -4, 2, 2, 2, 2, -4, 2, 2, -4, 2, 2, 2, 2, 2, 2, 2, 2, -4, 2, 2, 2, 2, 2, 2, 2, -4, -4, 2, 2, 2, 2, 2, -4, -4, 2, 2, 2, 2, 2, -4, 2, 2, 2, 2, -4, 2, -4, -4, 2, 2, 2, 2, -4, 2, 2, 2, 2, 2, 2, -4, 2, 2, -4, 2, 2, 2, 2, 2, 2, 2, -4, 2, 2, 2, -4, -4, 2, 2, 2, -4, -4, -4, 2, 2, 2, -4, 2, 2, 2, 2, 2, 2, 2, -4, -4, 2, -4, -4, -4, 2, -4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -4, 2, 2, 2, 2, 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, 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, 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, 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, 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, 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, 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, 0, 0, 0, 0, 4, -2, -2], 'schur_index': 1}
  • id: 3631171
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  • id: 3631172
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  • id: 3631173
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  • id: 3631174
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  • id: 3631175
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  • id: 3631177
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  • id: 3631178
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  • id: 3631179
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  • id: 3631180
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  • id: 3631181
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  • id: 3631182
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  • id: 3631183
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  • id: 3631184
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  • id: 3631185
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  • id: 3631186
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  • id: 3631188
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  • id: 3631189
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  • id: 3631190
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  • id: 3631191
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  • id: 3631192
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  • id: 3631193
    {'cdim': 1, 'counter': 35, 'faithful': False, 'group': '111168.a', 'group_order': 111168, 'image': None, 'label': '111168.a.1ai', 'multiplicity': 64, 'nt': [192, 0], 'qdim': 64, 'qvalues': [64, -64, 64, 64, -32, -32, -32, -32, -32, -32, 0, 0, 32, 32, 32, -64, 32, 32, 32, -64, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 64, 64], 'schur_index': 1}
  • id: 3631194
    {'cdim': 192, 'counter': 36, 'faithful': False, 'group': '111168.a', 'group_order': 111168, 'image': None, 'label': '111168.a.192a', 'multiplicity': 1, 'nt': [193, 0], 'qdim': 192, 'qvalues': [192, 0, 192, 192, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, -1, -1, -1], 'schur_index': 1}
  • id: 3631195
    {'cdim': 192, 'counter': 37, 'faithful': True, 'group': '111168.a', 'group_order': 111168, 'image': None, 'label': '111168.a.192b', 'multiplicity': 2, 'nt': [579, 0], 'qdim': 384, 'qvalues': [384, 0, -192, -192, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, -2, 1, 1], 'schur_index': 1}
• group 111168.a 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: 59985390
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 111168, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 1158, 'label': '111168.a.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, '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'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '111168.a', 'subgroup_hash': 2544430592072231885, 'subgroup_order': 111168, 'subgroup_tex': 'C_3\\times F_{193}', 'supersolvable': True, 'sylow': 0}
  • id: 59985401
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 55584, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, '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'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '55584.d', 'subgroup_hash': 8169072024078844245, 'subgroup_order': 55584, 'subgroup_tex': 'C_{579}:C_{96}', 'supersolvable': True, 'sylow': 0}
  • id: 59985412
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 37056, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.3.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1.a1', 'outer_equivalence': False, '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': '37056.g', 'subgroup_hash': 2721241302299332205, 'subgroup_order': 37056, 'subgroup_tex': 'C_{193}:C_{192}', 'supersolvable': True, 'sylow': 0}
  • id: 59985423
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': True, 'centralizer_order': 3, 'characteristic': False, 'core_order': 37056, 'counter': 4, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '111168.a.3.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.b1.a1', 'outer_equivalence': False, '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': '37056.a', 'subgroup_hash': 1432757702296672986, 'subgroup_order': 37056, 'subgroup_tex': 'F_{193}', 'supersolvable': True, 'sylow': 0}
  • id: 59985434
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': True, 'centralizer_order': 3, 'characteristic': False, 'core_order': 37056, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '111168.a.3.b1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.b1.b1', 'outer_equivalence': False, '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': '37056.a', 'subgroup_hash': 1432757702296672986, 'subgroup_order': 37056, 'subgroup_tex': 'F_{193}', 'supersolvable': True, 'sylow': 0}
  • id: 59985445
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': True, 'centralizer_order': 3, 'characteristic': False, 'core_order': 37056, 'counter': 6, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '111168.a.3.b1.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.b1.c1', 'outer_equivalence': False, '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': '37056.a', 'subgroup_hash': 1432757702296672986, 'subgroup_order': 37056, 'subgroup_tex': 'F_{193}', 'supersolvable': True, 'sylow': 0}
  • id: 59985456
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 27792, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '27792.a', 'subgroup_hash': 5648772846022615065, 'subgroup_order': 27792, 'subgroup_tex': 'C_{579}:C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59985467
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 18528, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '18528.d', 'subgroup_hash': 6265341034131566064, 'subgroup_order': 18528, 'subgroup_tex': 'C_{193}:C_{96}', 'supersolvable': True, 'sylow': 0}
  • id: 59985473
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 18528, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1.a1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '18528.c', 'subgroup_hash': 5691368528950376625, 'subgroup_order': 18528, 'subgroup_tex': 'C_{193}:C_{96}', 'supersolvable': True, 'sylow': 0}
  • id: 59985391
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 18528, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.6.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1.b1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '18528.c', 'subgroup_hash': 5691368528950376625, 'subgroup_order': 18528, 'subgroup_tex': 'C_{193}:C_{96}', 'supersolvable': True, 'sylow': 0}
  • id: 59985392
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 18528, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.6.b1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1.c1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '18528.c', 'subgroup_hash': 5691368528950376625, 'subgroup_order': 18528, 'subgroup_tex': 'C_{193}:C_{96}', 'supersolvable': True, 'sylow': 0}
  • id: 59985393
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 13896, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '13896.c', 'subgroup_hash': 4685229242541153991, 'subgroup_order': 13896, 'subgroup_tex': 'C_{579}:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59985394
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 12352, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 386, 'label': '111168.a.9.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '9.a1.a1', 'outer_equivalence': False, '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': '12352.1684', 'subgroup_hash': 1684, 'subgroup_order': 12352, 'subgroup_tex': 'C_{193}:C_{64}', 'supersolvable': True, 'sylow': 0}
  • id: 59985395
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 9264, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '9264.e', 'subgroup_hash': 1340494816448060594, 'subgroup_order': 9264, 'subgroup_tex': 'C_{193}:C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59985396
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 9264, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '9264.a', 'subgroup_hash': 1125378713036621189, 'subgroup_order': 9264, 'subgroup_tex': 'C_{193}:C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59985397
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 9264, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.12.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '9264.a', 'subgroup_hash': 1125378713036621189, 'subgroup_order': 9264, 'subgroup_tex': 'C_{193}:C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59985398
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 9264, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.12.b1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.b1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '9264.a', 'subgroup_hash': 1125378713036621189, 'subgroup_order': 9264, 'subgroup_tex': 'C_{193}:C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59985399
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 6948, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{16}', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6948.a', 'subgroup_hash': 163829408175284635, 'subgroup_order': 6948, 'subgroup_tex': 'C_{579}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59985400
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 6176, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.18.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.a1.a1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '6176.247', 'subgroup_hash': 247, 'subgroup_order': 6176, 'subgroup_tex': 'C_{193}:C_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 59985402
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 4632, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4632.e', 'subgroup_hash': 3663889610123481435, 'subgroup_order': 4632, 'subgroup_tex': 'C_{193}:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59985403
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 4632, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4632.c', 'subgroup_hash': 4587610107742586117, 'subgroup_order': 4632, 'subgroup_tex': 'C_{193}:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59985404
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 4632, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.24.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4632.c', 'subgroup_hash': 4587610107742586117, 'subgroup_order': 4632, 'subgroup_tex': 'C_{193}:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59985405
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 4632, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.24.b1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.b1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4632.c', 'subgroup_hash': 4587610107742586117, 'subgroup_order': 4632, 'subgroup_tex': 'C_{193}:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59985406
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 3474, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{32}', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '3474.a', 'subgroup_hash': 11, 'subgroup_order': 3474, 'subgroup_tex': 'C_{579}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59985407
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 3088, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.36.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.8', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '3088.54', 'subgroup_hash': 54, 'subgroup_order': 3088, 'subgroup_tex': 'C_{193}:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59985408
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 2316, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2316.c', 'subgroup_hash': 4, 'subgroup_order': 2316, 'subgroup_tex': 'C_{193}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59985409
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 2316, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.48.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2316.b', 'subgroup_hash': 3, 'subgroup_order': 2316, 'subgroup_tex': 'C_{193}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59985410
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 2316, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.48.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2316.b', 'subgroup_hash': 3, 'subgroup_order': 2316, 'subgroup_tex': 'C_{193}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59985411
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 2316, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.48.b1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.b1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2316.b', 'subgroup_hash': 3, 'subgroup_order': 2316, 'subgroup_tex': 'C_{193}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59985413
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 1737, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 579, 'label': '111168.a.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{64}', 'simple': False, 'solvable': True, 'special_labels': ['C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1737.3', 'subgroup_hash': 3, 'subgroup_order': 1737, 'subgroup_tex': 'C_{579}:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 59985414
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 1544, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.72.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1544.15', 'subgroup_hash': 15, 'subgroup_order': 1544, 'subgroup_tex': 'C_{193}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59985415
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 1158, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.96.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '96.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1158.4', 'subgroup_hash': 4, 'subgroup_order': 1158, 'subgroup_tex': 'C_3\\times D_{193}', 'supersolvable': True, 'sylow': 0}
  • id: 59985416
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 1158, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.96.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '96.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1158.1', 'subgroup_hash': 1, 'subgroup_order': 1158, 'subgroup_tex': 'C_{193}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59985417
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 1158, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.96.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '96.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1158.1', 'subgroup_hash': 1, 'subgroup_order': 1158, 'subgroup_tex': 'C_{193}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59985418
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 1158, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.96.b1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '96.b1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1158.1', 'subgroup_hash': 1, 'subgroup_order': 1158, 'subgroup_tex': 'C_{193}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59985419
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 772, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.144.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '144.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '144.30', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '772.3', 'subgroup_hash': 3, 'subgroup_order': 772, 'subgroup_tex': 'C_{193}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59985420
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 579, 'characteristic': True, 'core_order': 579, 'counter': 37, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '111168.a.192.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{192}', 'simple': False, 'solvable': True, 'special_labels': ['F', 'S', 'C7'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '579.2', 'subgroup_hash': 2, 'subgroup_order': 579, 'subgroup_tex': 'C_{579}', 'supersolvable': True, 'sylow': 0}
  • id: 59985421
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 579, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.192.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '192.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{192}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '579.1', 'subgroup_hash': 1, 'subgroup_order': 579, 'subgroup_tex': 'C_{193}:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 59985422
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 579, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.192.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '192.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{192}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '579.1', 'subgroup_hash': 1, 'subgroup_order': 579, 'subgroup_tex': 'C_{193}:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 59985424
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 579, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.192.b1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '192.b1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{192}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '579.1', 'subgroup_hash': 1, 'subgroup_order': 579, 'subgroup_tex': 'C_{193}:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 59985425
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 3, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '111168.a.193.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '193.a1.a1', 'outer_equivalence': False, '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': 193, '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': '576.182', 'subgroup_hash': 182, 'subgroup_order': 576, 'subgroup_tex': 'C_3\\times C_{192}', 'supersolvable': True, 'sylow': 0}
  • id: 59985426
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': True, 'core_order': 386, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '111168.a.288.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '288.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '288.66', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 66, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '386.1', 'subgroup_hash': 1, 'subgroup_order': 386, 'subgroup_tex': 'D_{193}', 'supersolvable': True, 'sylow': 0}
  • id: 59985427
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 3, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '111168.a.386.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '386.a1.a1', 'outer_equivalence': False, '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': 386, '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': '288.66', 'subgroup_hash': 66, 'subgroup_order': 288, 'subgroup_tex': 'C_3\\times C_{96}', 'supersolvable': True, 'sylow': 0}
  • id: 59985428
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 579, 'characteristic': True, 'core_order': 193, 'counter': 44, 'cyclic': True, 'direct': False, 'hall': 193, 'label': '111168.a.576.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '576.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '576.182', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 182, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_{192}', 'simple': True, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C8'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '193.1', 'subgroup_hash': 1, 'subgroup_order': 193, 'subgroup_tex': 'C_{193}', 'supersolvable': True, 'sylow': 193}
  • id: 59985429
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 3, 'counter': 45, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.579.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '579.a1.a1', 'outer_equivalence': False, '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': 579, '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': '192.2', 'subgroup_hash': 2, 'subgroup_order': 192, 'subgroup_tex': 'C_{192}', 'supersolvable': True, 'sylow': 0}
  • id: 59985430
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 46, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.579.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '579.b1.a1', 'outer_equivalence': False, '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': 579, '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': '192.2', 'subgroup_hash': 2, 'subgroup_order': 192, 'subgroup_tex': 'C_{192}', 'supersolvable': True, 'sylow': 0}
  • id: 59985431
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 47, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.579.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '579.b1.b1', 'outer_equivalence': False, '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': 579, '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': '192.2', 'subgroup_hash': 2, 'subgroup_order': 192, 'subgroup_tex': 'C_{192}', 'supersolvable': True, 'sylow': 0}
  • id: 59985432
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 48, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.579.b1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '579.b1.c1', 'outer_equivalence': False, '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': 579, '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': '192.2', 'subgroup_hash': 2, 'subgroup_order': 192, 'subgroup_tex': 'C_{192}', 'supersolvable': True, 'sylow': 0}
  • id: 59985433
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 3, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '111168.a.772.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '772.a1.a1', 'outer_equivalence': False, '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': 772, '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': '144.30', 'subgroup_hash': 30, 'subgroup_order': 144, 'subgroup_tex': 'C_3\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59985435
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 3, 'counter': 50, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.1158.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1158.a1.a1', 'outer_equivalence': False, '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': 1158, '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': '96.2', 'subgroup_hash': 2, 'subgroup_order': 96, 'subgroup_tex': 'C_{96}', 'supersolvable': True, 'sylow': 0}
  • id: 59985436
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 51, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.1158.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1158.b1.a1', 'outer_equivalence': False, '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': 1158, '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': '96.2', 'subgroup_hash': 2, 'subgroup_order': 96, 'subgroup_tex': 'C_{96}', 'supersolvable': True, 'sylow': 0}
  • id: 59985437
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 52, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.1158.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1158.b1.b1', 'outer_equivalence': False, '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': 1158, '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': '96.2', 'subgroup_hash': 2, 'subgroup_order': 96, 'subgroup_tex': 'C_{96}', 'supersolvable': True, 'sylow': 0}
  • id: 59985438
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 53, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.1158.b1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1158.b1.c1', 'outer_equivalence': False, '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': 1158, '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': '96.2', 'subgroup_hash': 2, 'subgroup_order': 96, 'subgroup_tex': 'C_{96}', 'supersolvable': True, 'sylow': 0}
  • id: 59985439
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 3, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '111168.a.1544.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1544.a1.a1', 'outer_equivalence': False, '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': 1544, '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': '72.14', 'subgroup_hash': 14, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59985440
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 55, 'cyclic': True, 'direct': None, 'hall': 2, 'label': '111168.a.1737.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1737.a1.a1', 'outer_equivalence': False, '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': 1737, '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': '64.1', 'subgroup_hash': 1, 'subgroup_order': 64, 'subgroup_tex': 'C_{64}', 'supersolvable': True, 'sylow': 2}
  • id: 59985441
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 3, 'counter': 56, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.2316.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2316.a1.a1', 'outer_equivalence': False, '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': 2316, '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': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59985442
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 57, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.2316.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2316.b1.a1', 'outer_equivalence': False, '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': 2316, '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': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59985443
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 58, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.2316.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2316.b1.b1', 'outer_equivalence': False, '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': 2316, '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': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59985444
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 59, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.2316.b1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2316.b1.c1', 'outer_equivalence': False, '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': 2316, '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': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59985446
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 3, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '111168.a.3088.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3088.a1.a1', 'outer_equivalence': False, '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': 3088, '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': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59985447
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 61, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.3474.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3474.a1.a1', 'outer_equivalence': False, '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': 3474, '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': '32.1', 'subgroup_hash': 1, 'subgroup_order': 32, 'subgroup_tex': 'C_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 59985448
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 3, 'counter': 62, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.4632.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4632.a1.a1', 'outer_equivalence': False, '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': 4632, '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': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59985449
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 63, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.4632.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4632.b1.a1', 'outer_equivalence': False, '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': 4632, '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': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59985450
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 64, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.4632.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4632.b1.b1', 'outer_equivalence': False, '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': 4632, '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': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59985451
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 65, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.4632.b1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4632.b1.c1', 'outer_equivalence': False, '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': 4632, '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': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59985452
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 3, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '111168.a.6176.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6176.a1.a1', 'outer_equivalence': False, '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': 6176, '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: 59985453
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 67, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.6948.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6948.a1.a1', 'outer_equivalence': False, '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': 6948, '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': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59985454
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 3, 'counter': 68, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.9264.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9264.a1.a1', 'outer_equivalence': False, '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': 9264, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59985455
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 69, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.9264.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9264.b1.a1', 'outer_equivalence': False, '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': 9264, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59985457
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 70, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.9264.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9264.b1.b1', 'outer_equivalence': False, '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': 9264, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59985458
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 71, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.9264.b1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9264.b1.c1', 'outer_equivalence': False, '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': 9264, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59985459
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 3, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '111168.a.12352.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12352.a1.a1', 'outer_equivalence': False, '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': 12352, '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: 59985460
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 73, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.13896.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13896.a1.a1', 'outer_equivalence': False, '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': 13896, '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': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59985461
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 3, 'counter': 74, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.18528.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18528.a1.a1', 'outer_equivalence': False, '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': 18528, '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: 59985462
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 75, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.18528.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18528.b1.a1', 'outer_equivalence': False, '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': 18528, '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: 59985463
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 76, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.18528.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18528.b1.b1', 'outer_equivalence': False, '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': 18528, '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: 59985464
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 77, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.18528.b1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18528.b1.c1', 'outer_equivalence': False, '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': 18528, '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: 59985465
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 78, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.27792.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27792.a1.a1', 'outer_equivalence': False, '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': 27792, '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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59985466
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': True, 'central_factor': False, 'centralizer_order': 111168, 'characteristic': True, 'core_order': 3, 'counter': 79, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '111168.a.37056.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '37056.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '37056.a', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1432757702296672986, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 37056, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'F_{193}', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'U0'], '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: 59985468
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 80, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.37056.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '37056.b1.a1', 'outer_equivalence': False, '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': 37056, '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: 59985469
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 81, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.37056.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '37056.b1.b1', 'outer_equivalence': False, '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': 37056, '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: 59985470
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 82, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.37056.b1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '37056.b1.c1', 'outer_equivalence': False, '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': 37056, '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: 59985471
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 1, 'counter': 83, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '111168.a.55584.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '55584.a1.a1', 'outer_equivalence': False, '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': 55584, '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': 0}
  • id: 59985472
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '111168.a', 'ambient_counter': 1, 'ambient_order': 111168, 'ambient_tex': 'C_3\\times F_{193}', 'central': True, 'central_factor': False, 'centralizer_order': 111168, 'characteristic': True, 'core_order': 1, 'counter': 84, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '111168.a.111168.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '111168.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '111168.a', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2544430592072231885, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 111168, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times F_{193}', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'PC', 'U1', 'D2', 'C9'], '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: 59985427
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '386.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '193.a1.a1'], 'contains': ['772.a1.a1', '1158.a1.a1', '1158.b1.a1', '1158.b1.b1', '1158.b1.c1'], 'core': '37056.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [2289, -1, 7734, -1, 7799, -1, 7789, -1], 'generators': [6, 48, 24, 64, 96, 37056, 12], 'label': '111168.a.386.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '386.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '386.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985390
    {'ambient': '111168.a', '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': '37056.a1.a1', 'complements': ['111168.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '3.a1.a1', '3.b1.a1', '3.b1.b1', '3.b1.c1', '193.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1046, 2165, 9179, 1467, 8123, 7345, 7814, 2149], 'generators': [576, 6, 64, 3, 37056, 96, 12, 24, 48], 'label': '111168.a.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '3.a1.a1', '3.b1.a1', '3.b1.b1', '3.b1.c1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985391
    {'ambient': '111168.a', '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': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.b1.b1'], 'contains': ['12.b1.b1', '18.a1.a1', '1158.b1.b1'], 'core': '6.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1730, 1991, 7903, 2356, 6969, 7730, 5832, 1695], 'generators': [24, 48, 96, 12, 256, 6, 576], 'label': '111168.a.6.b1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1.b1', 'normal_contained_in': ['2.a1.a1', '3.b1.b1'], 'normal_contains': ['12.b1.b1', '18.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.b1.b1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.b1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985392
    {'ambient': '111168.a', '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': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.b1.c1'], 'contains': ['12.b1.c1', '18.a1.a1', '1158.b1.c1'], 'core': '6.b1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [1730, 1991, 8418, 1603, 6969, 7730, 5275, 2575], 'generators': [24, 48, 96, 12, 448, 6, 576], 'label': '111168.a.6.b1.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1.c1', 'normal_contained_in': ['2.a1.a1', '3.b1.c1'], 'normal_contains': ['12.b1.c1', '18.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.b1.c1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.c1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985393
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.b1.b1', '24.b1.c1', '1544.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5383, 6386, 3860, 5636, 3559, 2655, 3332, 6948], 'generators': [48, 96, 576, 37056, 64, 24], 'label': '111168.a.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.b1.b1', '24.b1.c1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985394
    {'ambient': '111168.a', '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': '37056.a1.a1', 'complements': ['12352.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '3.b1.a1', '3.b1.b1', '3.b1.c1'], 'contains': ['18.a1.a1', '1737.a1.a1'], 'core': '9.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [691, 1188, 9063, 1227, 8629, 9304, 8360, 815], 'generators': [24, 48, 96, 12, 6, 3, 576], 'label': '111168.a.9.a1.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '9.a1.a1', 'normal_contained_in': ['3.a1.a1', '3.b1.a1', '3.b1.b1', '3.b1.c1'], 'normal_contains': ['18.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '9.a1.a1', 'projective_image': '111168.a', 'quotient_action_image': '3.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '9.a1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985395
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '12.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1'], 'contains': ['24.a1.a1', '36.a1.a1', '2316.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4494, 5012, 5729, 4896, 4760, 4990, 5832, 5642], 'generators': [48, 96, 576, 24, 37056, 12], 'label': '111168.a.12.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '36.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985396
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.b1.a1'], 'contains': ['24.b1.a1', '36.a1.a1', '2316.b1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3307, 3415, 5088, 4147, 5768, 6949, 5138, 4546], 'generators': [48, 96, 576, 24, 64, 12], 'label': '111168.a.12.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.a1.a1', '6.b1.a1'], 'normal_contains': ['24.b1.a1', '36.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985397
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.b1.b1'], 'contains': ['24.b1.b1', '36.a1.a1', '2316.b1.b1'], 'core': '12.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3307, 3415, 6495, 3546, 5768, 6949, 4581, 2785], 'generators': [48, 96, 576, 24, 256, 12], 'label': '111168.a.12.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.b1.b1', 'normal_contained_in': ['4.a1.a1', '6.b1.b1'], 'normal_contains': ['24.b1.b1', '36.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.b1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.b1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985398
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.b1.c1'], 'contains': ['24.b1.c1', '36.a1.a1', '2316.b1.c1'], 'core': '12.b1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3307, 3415, 7010, 2945, 5768, 6949, 4025, 3666], 'generators': [48, 96, 576, 24, 448, 12], 'label': '111168.a.12.b1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.b1.c1', 'normal_contained_in': ['4.a1.a1', '6.b1.c1'], 'normal_contains': ['24.b1.c1', '36.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.c1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.c1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985399
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['32.a1.a1', '48.a1.a1', '48.b1.a1', '48.b1.b1', '48.b1.c1', '3088.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6817, 7769, 2884, 6947, 2431, 2015, 2153, 7919], 'generators': [96, 576, 37056, 64, 48], 'label': '111168.a.16.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.a1.a1', '48.a1.a1', '48.b1.a1', '48.b1.b1', '48.b1.c1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985400
    {'ambient': '111168.a', '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': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '6.b1.a1', '6.b1.b1', '6.b1.c1', '9.a1.a1'], 'contains': ['36.a1.a1', '3474.a1.a1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1924, 2305, 8155, 2274, 7428, 8523, 7110, 1905], 'generators': [48, 96, 576, 24, 12, 6], 'label': '111168.a.18.a1.a1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.a1.a1', 'normal_contained_in': ['6.a1.a1', '6.b1.a1', '6.b1.b1', '6.b1.c1', '9.a1.a1'], 'normal_contains': ['36.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '18.a1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.a1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985401
    {'ambient': '111168.a', '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': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '6.a1.a1', '6.b1.a1', '6.b1.b1', '6.b1.c1', '386.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2227, 3431, 7200, 2956, 6420, 5010, 6288, 4551], 'generators': [24, 576, 96, 48, 12, 6, 64, 37056], 'label': '111168.a.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '6.a1.a1', '6.b1.a1', '6.b1.b1', '6.b1.c1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985402
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '24.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1'], 'contains': ['48.a1.a1', '72.a1.a1', '4632.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6000, 6329, 4604, 6260, 3559, 4208, 4603, 6692], 'generators': [96, 576, 48, 37056, 24], 'label': '111168.a.24.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '72.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985403
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.b1.a1'], 'contains': ['48.b1.a1', '72.a1.a1', '4632.b1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4884, 4847, 3883, 5567, 4493, 6025, 3960, 5676], 'generators': [96, 576, 48, 64, 24], 'label': '111168.a.24.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.a1.a1', '12.b1.a1'], 'normal_contains': ['48.b1.a1', '72.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985404
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.b1.b1'], 'contains': ['48.b1.b1', '72.a1.a1', '4632.b1.b1'], 'core': '24.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4884, 4847, 5323, 4966, 4493, 6025, 3403, 3915], 'generators': [96, 576, 48, 256, 24], 'label': '111168.a.24.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1.b1', 'normal_contained_in': ['8.a1.a1', '12.b1.b1'], 'normal_contains': ['48.b1.b1', '72.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.b1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1.b1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985405
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.b1.c1'], 'contains': ['48.b1.c1', '72.a1.a1', '4632.b1.c1'], 'core': '24.b1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4884, 4847, 5838, 4364, 4493, 6025, 2847, 4796], 'generators': [96, 576, 48, 448, 24], 'label': '111168.a.24.b1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1.c1', 'normal_contained_in': ['8.a1.a1', '12.b1.c1'], 'normal_contains': ['48.b1.c1', '72.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.c1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1.c1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985406
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '32.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1'], 'contains': ['64.a1.a1', '96.a1.a1', '96.b1.a1', '96.b1.b1', '96.b1.c1', '6176.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8245, 8953, 1648, 8366, 1371, 1365, 1022, 8862], 'generators': [96, 64, 576, 37056], 'label': '111168.a.32.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.a1.a1', '96.a1.a1', '96.b1.a1', '96.b1.b1', '96.b1.c1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985407
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '36.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '12.b1.a1', '12.b1.b1', '12.b1.c1', '18.a1.a1'], 'contains': ['72.a1.a1', '6948.a1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3503, 3730, 6768, 3694, 6154, 7599, 5832, 3035], 'generators': [96, 576, 48, 24, 12], 'label': '111168.a.36.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.a1.a1', 'normal_contained_in': ['12.a1.a1', '12.b1.a1', '12.b1.b1', '12.b1.c1', '18.a1.a1'], 'normal_contains': ['72.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.a1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.a1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985408
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '48.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1'], 'contains': ['96.a1.a1', '144.a1.a1', '9264.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7434, 6329, 2426, 7680, 2431, 3426, 3421, 7709], 'generators': [48, 37056, 576, 96], 'label': '111168.a.48.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.a1'], 'normal_contains': ['96.a1.a1', '144.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985409
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '48.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.b1.a1'], 'contains': ['96.b1.a1', '144.a1.a1', '9264.b1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6319, 7810, 3146, 6986, 3366, 5243, 2778, 6692], 'generators': [48, 64, 576, 96], 'label': '111168.a.48.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.b1.a1', 'normal_contained_in': ['16.a1.a1', '24.b1.a1'], 'normal_contains': ['96.b1.a1', '144.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.b1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985410
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '48.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.b1.b1'], 'contains': ['96.b1.b1', '144.a1.a1', '9264.b1.b1'], 'core': '48.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6319, 7810, 3660, 6385, 3366, 5243, 2222, 4932], 'generators': [48, 256, 576, 96], 'label': '111168.a.48.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.b1.b1', 'normal_contained_in': ['16.a1.a1', '24.b1.b1'], 'normal_contains': ['96.b1.b1', '144.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.b1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.b1.b1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985411
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '48.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.b1.c1'], 'contains': ['96.b1.c1', '144.a1.a1', '9264.b1.c1'], 'core': '48.b1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [6319, 7810, 4175, 5783, 3366, 5243, 1665, 5812], 'generators': [48, 448, 576, 96], 'label': '111168.a.48.b1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.b1.c1', 'normal_contained_in': ['16.a1.a1', '24.b1.c1'], 'normal_contains': ['96.b1.c1', '144.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.c1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.b1.c1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985412
    {'ambient': '111168.a', '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': '37056.a1.a1', 'complements': ['37056.b1.a1', '37056.b1.b1', '37056.b1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '9.a1.a1', '579.a1.a1'], 'core': '3.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1344, 2165, 8182, 2363, 7622, 7345, 8788, 3245], 'generators': [24, 576, 96, 48, 12, 3, 37056, 6], 'label': '111168.a.3.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.a1.a1', '9.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': '3.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985413
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '64.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': ['1737.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1'], 'contains': ['192.a1.a1', '192.b1.a1', '192.b1.b1', '192.b1.c1', '12352.a1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9439, 9119, 513, 9293, 483, 939, 332, 9475], 'generators': [64, 37056, 576], 'label': '111168.a.64.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.a1.a1'], 'normal_contains': ['192.a1.a1', '192.b1.a1', '192.b1.b1', '192.b1.c1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': '64.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985414
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '72.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '24.b1.a1', '24.b1.b1', '24.b1.c1', '36.a1.a1'], 'contains': ['144.a1.a1', '13896.a1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5009, 5137, 5404, 5113, 4958, 6685, 4603, 4125], 'generators': [24, 48, 576, 96], 'label': '111168.a.72.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.a1.a1', 'normal_contained_in': ['24.a1.a1', '24.b1.a1', '24.b1.b1', '24.b1.c1', '36.a1.a1'], 'normal_contains': ['144.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.a1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.a1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985415
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '96.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.a1.a1'], 'contains': ['192.a1.a1', '288.a1.a1', '18528.a1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8791, 7554, 1233, 8734, 1465, 2848, 2390, 8407], 'generators': [96, 37056, 576], 'label': '111168.a.96.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.a1.a1', 'normal_contained_in': ['32.a1.a1', '48.a1.a1'], 'normal_contains': ['192.a1.a1', '288.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.a1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985416
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '96.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.b1.a1'], 'contains': ['192.b1.a1', '288.a1.a1', '18528.b1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7819, 9119, 1735, 8150, 2253, 4381, 1848, 7550], 'generators': [96, 64, 576], 'label': '111168.a.96.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.b1.a1', 'normal_contained_in': ['32.a1.a1', '48.b1.a1'], 'normal_contains': ['192.b1.a1', '288.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.b1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.b1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985417
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '96.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.b1.b1'], 'contains': ['192.b1.b1', '288.a1.a1', '18528.b1.b1'], 'core': '96.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7819, 9119, 2492, 7652, 2253, 4381, 1388, 6096], 'generators': [96, 256, 576], 'label': '111168.a.96.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.b1.b1', 'normal_contained_in': ['32.a1.a1', '48.b1.b1'], 'normal_contains': ['192.b1.b1', '288.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.b1.b1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.b1.b1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985418
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '96.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.b1.c1'], 'contains': ['192.b1.c1', '288.a1.a1', '18528.b1.c1'], 'core': '96.b1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [7819, 9119, 2917, 7156, 2253, 4381, 929, 6823], 'generators': [96, 448, 576], 'label': '111168.a.96.b1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.b1.c1', 'normal_contained_in': ['32.a1.a1', '48.b1.c1'], 'normal_contains': ['192.b1.c1', '288.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.b1.c1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.b1.c1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985419
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '144.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '48.b1.a1', '48.b1.b1', '48.b1.c1', '72.a1.a1'], 'contains': ['288.a1.a1', '27792.a1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6442, 6503, 3594, 6536, 3632, 5680, 3421, 5369], 'generators': [48, 96, 576], 'label': '111168.a.144.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '144.a1.a1', 'normal_contained_in': ['48.a1.a1', '48.b1.a1', '48.b1.b1', '48.b1.c1', '72.a1.a1'], 'normal_contains': ['288.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '144.a1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.a1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985420
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '192.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': ['579.b1.a1', '579.b1.b1', '579.b1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '96.a1.a1'], 'contains': ['576.a1.a1', '37056.a1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9648, 7554, 131, 9735, 765, 2086, 1697, 9475], 'generators': [37056, 576], 'label': '111168.a.192.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '192.a1.a1', 'normal_contained_in': ['64.a1.a1', '96.a1.a1'], 'normal_contains': ['576.a1.a1', '37056.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': '192.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '192.a1.a1', 'subgroup_fusion': None, 'weyl_group': '192.2'}
  • id: 59985421
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '192.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': ['579.a1.a1', '579.b1.b1', '579.b1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '96.b1.a1'], 'contains': ['576.a1.a1', '37056.b1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9068, 9433, 633, 9297, 1355, 3233, 1291, 8833], 'generators': [64, 576], 'label': '111168.a.192.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.b1.a1', 'normal_contained_in': ['64.a1.a1', '96.b1.a1'], 'normal_contains': ['576.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.b1.a1', 'projective_image': '111168.a', 'quotient_action_image': '64.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '192.b1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985422
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '192.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': ['579.a1.a1', '579.b1.c1', '579.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '96.b1.b1'], 'contains': ['576.a1.a1', '37056.b1.b1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9068, 9433, 1057, 8800, 1355, 3233, 832, 7380], 'generators': [256, 576], 'label': '111168.a.192.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.b1.b1', 'normal_contained_in': ['64.a1.a1', '96.b1.b1'], 'normal_contains': ['576.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.b1.b1', 'projective_image': '111168.a', 'quotient_action_image': '64.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '192.b1.b1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985423
    {'ambient': '111168.a', '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': '37056.a1.a1', 'complements': ['37056.a1.a1', '37056.b1.b1', '37056.b1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.b1.a1', '9.a1.a1', '579.b1.a1'], 'core': '3.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [352, 567, 8824, 1467, 8629, 9304, 8094, 2149], 'generators': [24, 576, 96, 48, 12, 3, 64, 6], 'label': '111168.a.3.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.b1.a1', '9.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '3.b1.a1', 'projective_image': '111168.a', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.b1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985424
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '192.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': ['579.a1.a1', '579.b1.a1', '579.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '96.b1.c1'], 'contains': ['576.a1.a1', '37056.b1.c1'], 'core': '192.b1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [9068, 9433, 1482, 8304, 1355, 3233, 372, 8106], 'generators': [448, 576], 'label': '111168.a.192.b1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.b1.c1', 'normal_contained_in': ['64.a1.a1', '96.b1.c1'], 'normal_contains': ['576.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.b1.c1', 'projective_image': '111168.a', 'quotient_action_image': '64.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '192.b1.c1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985425
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '193.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['386.a1.a1', '579.a1.a1', '579.b1.a1', '579.b1.b1', '579.b1.c1'], 'core': '37056.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [691, -1, 9573, -1, 9486, -1, 9510, -1], 'generators': [3, 12, 24, 64, 6, 96, 48, 37056], 'label': '111168.a.193.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '193.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '193.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985426
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '288.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.a1.a1', '96.b1.a1', '96.b1.b1', '96.b1.c1', '144.a1.a1'], 'contains': ['576.a1.a1', '55584.a1.a1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7901, 8274, 2515, 7541, 2373, 4381, 2344, 6738], 'generators': [96, 576], 'label': '111168.a.288.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '288.a1.a1', 'normal_contained_in': ['96.a1.a1', '96.b1.a1', '96.b1.b1', '96.b1.c1', '144.a1.a1'], 'normal_contains': ['576.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '288.a1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.a1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985428
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '576.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': ['193.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['192.a1.a1', '192.b1.a1', '192.b1.b1', '192.b1.c1', '288.a1.a1'], 'contains': ['111168.a1.a1'], 'core': '576.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9392, 8224, 736, 9137, 1381, 3162, 1334, 8470], 'generators': [576], 'label': '111168.a.576.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '576.a1.a1', 'normal_contained_in': ['192.a1.a1', '192.b1.a1', '192.b1.b1', '192.b1.c1', '288.a1.a1'], 'normal_contains': ['111168.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '576.a1.a1', 'projective_image': '111168.a', 'quotient_action_image': '192.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '576.a1.a1', 'subgroup_fusion': None, 'weyl_group': '192.2'}
  • id: 59985429
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '579.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '193.a1.a1'], 'contains': ['1158.a1.a1', '1737.a1.a1'], 'core': '37056.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [1195, -1, 8760, -1, 9287, -1, 9858, -1], 'generators': [3, 48, 24, 37056, 96, 6, 12], 'label': '111168.a.579.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '579.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '579.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985430
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '579.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.b1.a1', '193.a1.a1'], 'contains': ['1158.b1.a1', '1737.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [691, -1, 9225, -1, 9794, -1, 9510, -1], 'generators': [3, 48, 24, 64, 96, 6, 12], 'label': '111168.a.579.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '579.b1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '579.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985431
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '579.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.b1.b1', '193.a1.a1'], 'contains': ['1158.b1.b1', '1737.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [691, -1, 9547, -1, 9794, -1, 9161, -1], 'generators': [3, 48, 24, 37120, 96, 6, 12], 'label': '111168.a.579.b1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '579.b1.b1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '579.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985432
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '579.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.b1.c1', '193.a1.a1'], 'contains': ['1158.b1.c1', '1737.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [691, -1, 9869, -1, 9794, -1, 8813, -1], 'generators': [3, 48, 24, 74176, 96, 6, 12], 'label': '111168.a.579.b1.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.b1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '579.b1.c1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '579.b1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985433
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '772.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '386.a1.a1'], 'contains': ['1544.a1.a1', '2316.a1.a1', '2316.b1.a1', '2316.b1.b1', '2316.b1.c1'], 'core': '37056.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [3867, -1, 5928, -1, 6598, -1, 6539, -1], 'generators': [12, 96, 48, 64, 37056, 24], 'label': '111168.a.772.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '772.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '772.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985434
    {'ambient': '111168.a', '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': '37056.a1.a1', 'complements': ['37056.a1.a1', '37056.b1.c1', '37056.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.b1.b1', '9.a1.a1', '579.b1.b1'], 'core': '3.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [352, 567, 9337, 867, 8629, 9304, 7538, 389], 'generators': [24, 576, 96, 48, 12, 3, 256, 6], 'label': '111168.a.3.b1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.b1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.b1.b1', '9.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '3.b1.b1', 'projective_image': '111168.a', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.b1.b1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985435
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '1158.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '386.a1.a1', '579.a1.a1'], 'contains': ['2316.a1.a1', '3474.a1.a1'], 'core': '37056.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [2485, -1, 7986, -1, 8065, -1, 8497, -1], 'generators': [6, 96, 48, 37056, 12, 24], 'label': '111168.a.1158.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '1158.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1158.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985436
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '1158.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '386.a1.a1', '579.b1.a1'], 'contains': ['2316.b1.a1', '3474.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [2027, -1, 7229, -1, 8525, -1, 8181, -1], 'generators': [6, 96, 48, 64, 12, 24], 'label': '111168.a.1158.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '1158.b1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1158.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985437
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '1158.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.b1', '386.a1.a1', '579.b1.b1'], 'contains': ['2316.b1.b1', '3474.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [2027, -1, 7651, -1, 8525, -1, 7865, -1], 'generators': [6, 96, 48, 37120, 12, 24], 'label': '111168.a.1158.b1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '1158.b1.b1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1158.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985438
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '1158.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.c1', '386.a1.a1', '579.b1.c1'], 'contains': ['2316.b1.c1', '3474.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [2027, -1, 8491, -1, 8525, -1, 7549, -1], 'generators': [6, 96, 48, 74176, 12, 24], 'label': '111168.a.1158.b1.c1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.b1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '1158.b1.c1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1158.b1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985439
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '1544.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '772.a1.a1'], 'contains': ['3088.a1.a1', '4632.a1.a1', '4632.b1.a1', '4632.b1.b1', '4632.b1.c1'], 'core': '37056.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [5301, -1, 4623, -1, 5324, -1, 5260, -1], 'generators': [24, 96, 64, 37056, 48], 'label': '111168.a.1544.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '1544.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1544.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985440
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '1737.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '579.a1.a1', '579.b1.a1', '579.b1.b1', '579.b1.c1'], 'contains': ['3474.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [984, -1, 9063, -1, 9136, -1, 8985, -1], 'generators': [3], 'label': '111168.a.1737.a1.a1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '9.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '1737.a1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1737.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985441
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '2316.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '772.a1.a1', '1158.a1.a1'], 'contains': ['4632.a1.a1', '6948.a1.a1'], 'core': '37056.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [4062, -1, 6031, -1, 6791, -1, 7218, -1], 'generators': [12, 96, 37056, 24, 48], 'label': '111168.a.2316.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '2316.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2316.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985442
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '2316.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '772.a1.a1', '1158.b1.a1'], 'contains': ['4632.b1.a1', '6948.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [3606, -1, 5738, -1, 7251, -1, 6902, -1], 'generators': [12, 96, 64, 24, 48], 'label': '111168.a.2316.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '2316.b1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2316.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985443
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '2316.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.b1', '772.a1.a1', '1158.b1.b1'], 'contains': ['4632.b1.b1', '6948.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [3606, -1, 6486, -1, 7251, -1, 6586, -1], 'generators': [12, 96, 37120, 24, 48], 'label': '111168.a.2316.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '2316.b1.b1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2316.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985444
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '2316.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.c1', '772.a1.a1', '1158.b1.c1'], 'contains': ['4632.b1.c1', '6948.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [3606, -1, 6977, -1, 7251, -1, 6270, -1], 'generators': [12, 96, 74176, 24, 48], 'label': '111168.a.2316.b1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '2316.b1.c1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2316.b1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985445
    {'ambient': '111168.a', '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': '37056.a1.a1', 'complements': ['37056.a1.a1', '37056.b1.a1', '37056.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.b1.c1', '9.a1.a1', '579.b1.c1'], 'core': '3.b1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [352, 567, 9852, 265, 8629, 9304, 6981, 1269], 'generators': [24, 576, 96, 48, 12, 3, 448, 6], 'label': '111168.a.3.b1.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.b1.c1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.b1.c1', '9.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '3.b1.c1', 'projective_image': '111168.a', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.b1.c1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985446
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '3088.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '1544.a1.a1'], 'contains': ['6176.a1.a1', '9264.a1.a1', '9264.b1.a1', '9264.b1.b1', '9264.b1.c1'], 'core': '37056.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [6838, -1, 2976, -1, 4196, -1, 4079, -1], 'generators': [48, 64, 37056, 96], 'label': '111168.a.3088.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '3088.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3088.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985447
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '3474.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1', '1158.a1.a1', '1158.b1.a1', '1158.b1.b1', '1158.b1.c1', '1737.a1.a1'], 'contains': ['6948.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [2027, -1, 7986, -1, 8065, -1, 7865, -1], 'generators': [6], 'label': '111168.a.3474.a1.a1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '18.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '3474.a1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3474.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985448
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '4632.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '1544.a1.a1', '2316.a1.a1'], 'contains': ['9264.a1.a1', '13896.a1.a1'], 'core': '37056.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [5497, -1, 4729, -1, 5522, -1, 5939, -1], 'generators': [24, 37056, 48, 96], 'label': '111168.a.4632.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '4632.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4632.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985449
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '4632.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '1544.a1.a1', '2316.b1.a1'], 'contains': ['9264.b1.a1', '13896.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [5039, -1, 4438, -1, 5982, -1, 5623, -1], 'generators': [24, 64, 48, 96], 'label': '111168.a.4632.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '4632.b1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4632.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985450
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '4632.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.b1', '1544.a1.a1', '2316.b1.b1'], 'contains': ['9264.b1.b1', '13896.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [5039, -1, 5022, -1, 5982, -1, 5307, -1], 'generators': [24, 37120, 48, 96], 'label': '111168.a.4632.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '4632.b1.b1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4632.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985451
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '4632.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.c1', '1544.a1.a1', '2316.b1.c1'], 'contains': ['9264.b1.c1', '13896.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [5039, -1, 5550, -1, 5982, -1, 4991, -1], 'generators': [24, 74176, 48, 96], 'label': '111168.a.4632.b1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '4632.b1.c1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4632.b1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985452
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '6176.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '3088.a1.a1'], 'contains': ['12352.a1.a1', '18528.a1.a1', '18528.b1.a1', '18528.b1.b1', '18528.b1.c1'], 'core': '37056.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [8195, -1, 1921, -1, 2943, -1, 2947, -1], 'generators': [96, 64, 37056], 'label': '111168.a.6176.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '6176.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6176.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985453
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '6948.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.a1.a1', '2316.a1.a1', '2316.b1.a1', '2316.b1.b1', '2316.b1.c1', '3474.a1.a1'], 'contains': ['13896.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [3606, -1, 6486, -1, 6791, -1, 6586, -1], 'generators': [12], 'label': '111168.a.6948.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '6948.a1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6948.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985454
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '9264.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '3088.a1.a1', '4632.a1.a1'], 'contains': ['18528.a1.a1', '27792.a1.a1'], 'core': '37056.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [7033, -1, 2893, -1, 4196, -1, 4758, -1], 'generators': [48, 37056, 96], 'label': '111168.a.9264.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '9264.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9264.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985455
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '9264.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.b1.a1', '3088.a1.a1', '4632.b1.a1'], 'contains': ['18528.b1.a1', '27792.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [6575, -1, 3272, -1, 4655, -1, 4442, -1], 'generators': [48, 64, 96], 'label': '111168.a.9264.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '9264.b1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9264.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985456
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '12.b1.b1', '12.b1.c1', '772.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3806, 4855, 5729, 4445, 4760, 3436, 4581, 5857], 'generators': [24, 48, 96, 37056, 64, 12, 576], 'label': '111168.a.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '12.b1.b1', '12.b1.c1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985457
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '9264.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.b1.b1', '3088.a1.a1', '4632.b1.b1'], 'contains': ['18528.b1.b1', '27792.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [6575, -1, 3853, -1, 4655, -1, 4125, -1], 'generators': [48, 37120, 96], 'label': '111168.a.9264.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '9264.b1.b1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9264.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985458
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '9264.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.b1.c1', '3088.a1.a1', '4632.b1.c1'], 'contains': ['18528.b1.c1', '27792.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [6575, -1, 4145, -1, 4655, -1, 3809, -1], 'generators': [48, 74176, 96], 'label': '111168.a.9264.b1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '9264.b1.c1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9264.b1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985459
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '12352.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '6176.a1.a1'], 'contains': ['37056.a1.a1', '37056.b1.a1', '37056.b1.b1', '37056.b1.c1'], 'core': '37056.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [9237, -1, 685, -1, 1903, -1, 2020, -1], 'generators': [64, 37056], 'label': '111168.a.12352.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '12352.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12352.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985460
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '13896.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.a1.a1', '4632.a1.a1', '4632.b1.a1', '4632.b1.b1', '4632.b1.c1', '6948.a1.a1'], 'contains': ['27792.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [5039, -1, 5108, -1, 5522, -1, 5307, -1], 'generators': [24], 'label': '111168.a.13896.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '72.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '13896.a1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13896.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985461
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '18528.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.a1.a1', '6176.a1.a1', '9264.a1.a1'], 'contains': ['37056.a1.a1', '55584.a1.a1'], 'core': '37056.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [8390, -1, 1884, -1, 2817, -1, 3425, -1], 'generators': [96, 37056], 'label': '111168.a.18528.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '96.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '18528.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18528.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985462
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '18528.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.b1.a1', '6176.a1.a1', '9264.b1.a1'], 'contains': ['37056.b1.a1', '55584.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [7953, -1, 1506, -1, 3193, -1, 3166, -1], 'generators': [96, 64], 'label': '111168.a.18528.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '96.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '18528.b1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18528.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985463
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '18528.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.b1.b1', '6176.a1.a1', '9264.b1.b1'], 'contains': ['37056.b1.b1', '55584.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [7953, -1, 2196, -1, 3193, -1, 2908, -1], 'generators': [35808, 256], 'label': '111168.a.18528.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '96.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '18528.b1.b1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18528.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985464
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '18528.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.b1.c1', '6176.a1.a1', '9264.b1.c1'], 'contains': ['37056.b1.c1', '55584.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [7953, -1, 2572, -1, 3193, -1, 2649, -1], 'generators': [71520, 448], 'label': '111168.a.18528.b1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '96.b1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '18528.b1.c1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18528.b1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985465
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '27792.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.a1.a1', '9264.a1.a1', '9264.b1.a1', '9264.b1.b1', '9264.b1.c1', '13896.a1.a1'], 'contains': ['55584.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [6575, -1, 3644, -1, 4196, -1, 4125, -1], 'generators': [48], 'label': '111168.a.27792.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '144.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '27792.a1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27792.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985466
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '37056.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['3.b1.a1', '3.b1.b1', '3.b1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['192.a1.a1', '12352.a1.a1', '18528.a1.a1'], 'contains': ['111168.a1.a1'], 'core': '37056.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9361, 7455, 633, 9572, 1851, 2228, 2498, 9214], 'generators': [37056], 'label': '111168.a.37056.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '37056.a1.a1', 'normal_contained_in': ['192.a1.a1'], 'normal_contains': ['111168.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '37056.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': '1.1', 'quotient_action_kernel': '37056.a', 'quotient_action_kernel_order': 37056, 'quotient_fusion': None, 'short_label': '37056.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985467
    {'ambient': '111168.a', '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': '37056.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '18.a1.a1', '1158.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2916, 3589, 7262, 3705, 5961, 5771, 7081, 4551], 'generators': [24, 48, 96, 12, 37056, 6, 576], 'label': '111168.a.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1', '3.a1.a1'], 'normal_contains': ['12.a1.a1', '18.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '37056.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '37056.a'}
  • id: 59985468
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '37056.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.b1.a1', '12352.a1.a1', '18528.b1.a1'], 'contains': ['111168.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [8883, -1, 188, -1, 2227, -1, 2240, -1], 'generators': [64], 'label': '111168.a.37056.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '192.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '37056.b1.a1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '37056.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985469
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '37056.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.b1.b1', '12352.a1.a1', '18528.b1.b1'], 'contains': ['111168.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [8883, -1, 902, -1, 2227, -1, 1981, -1], 'generators': [256], 'label': '111168.a.37056.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '192.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '37056.b1.b1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '37056.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985470
    {'ambient': '111168.a', 'aut_centralizer_order': None, 'aut_label': '37056.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.b1.c1', '12352.a1.a1', '18528.b1.c1'], 'contains': ['111168.a1.a1'], 'core': '111168.a1.a1', 'coset_action_label': None, 'count': 193, 'diagramx': [8883, -1, 1177, -1, 2227, -1, 1722, -1], 'generators': [448], 'label': '111168.a.37056.b1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '192.b1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '193.a1.a1', 'old_label': '37056.b1.c1', 'projective_image': '111168.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '37056.b1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59985471
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  • id: 59985472
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  • id: 59985473
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