Abstract group data - 11019960576.bb

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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': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '32.45', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[223681183836346796195025114169522831165294, 74455662709968633849734276454457499456904, 52577751340520831302661736124149875587918, 351326767616091182872435199399247417753475], [223386214168449029602407852122680507628039, 84788802453211251769202873145771481033201, 52577751340521219082912819775409693571773, 351031797948193416255087610126247991265770], [223681438753491726048986190733924999008718, 84788802453210832966529391952242145189921, 42244611596668855523619210372037180392932, 351327022515552588738914560797654585788851], [244344763652778306199616022016041056325834, 329746270595395325731620546551480031962187, 42244611816459444025244664368989316822401, 234008619399236889662651766520159313220477], [361364937674052737858499005836179279508317, 339786901595217788521239828268928284254120, 52580467484334647664574436246707615969324, 223386214159603025249258273784061011297964], [351326496372615583598218523091661211286984, 84496837414346629445181328480513898760504, 42540107526850266462875321166108385414587, 223680912400561582455542521693984339441795], [351319977280861631290891223555464744531678, 319120079290871481974232893387783440131960, 52577751458956564715152232991179897026558, 223675208466541708198579489590530588012165], [233719099012839987373901907781970977974334, 84493832785313066425613609589455989268427, 42540107526850266190277098882603297879674, 371993063540327017858335667161585625413575], [351327022515251490713591590575455667986637, 319117634729666329978638878358039408161277, 180225779874096213775026624477246822080490, 233719098994855365309390635125666754498066], [223681183827809922545897126075480719200574, 74455662709968633849734276454457499421628, 52577751340520831302661736124149839264638, 351326767616091182872435199399247417788611], [223681183836346796219753130180630200125293, 74455662709968633849736831001566084928908, 52577751340520831302661736124149875587677, 361364682783437723661254232127127097753476], [223681438744345075762336497139742064445434, 74455662709968633876707982664212315968667, 52577751340520831302661736124243280899914, 371993318456861752247375851566743097753335], [244347734686264015908317182863438567226318, 74456188971642501263770628692002447342027, 52577751340520831302666602304950767191437, 351327022524089462388042549268400357372755], [223675734563683903617309887033292634639438, 202100431624084253707788557213042283383160, 52577751560306805502539796344959732464587, 351320503734540207263857387486518224617555], [96030439287795943130714271579011659306317, 212135902229614607299143671131722483999117, 52577751458948563331474473772076664580427, 223675208466546290021958223574080813019666], [116697261545723821492793504988214146115677, 74455917626502980458523379007889440762924, 307873808407663627042529149072422685738317, 233713394814194580971598806429458189621175], [223675734646103402537133635250337197167853, 191469861361140687448872189036430564875598, 170184605279604525918078034306152169561228, 371986544576150479648726264609949864355715], [233719099003693337035548180375079059133290, 74455917617966913365339314690173368231307, 52577751340520831302661736500934450154170, 371993063548863472731768502074387259353479], [233718827650017749164095195766268657376474, 74455917617966913417043348502707879885563, 52577751340520831302661735789478642691677, 371992792195187884860315517842187075580855], [244347479769119892637280670055747030141293, 74456188989326025251252587148198228480908, 52577751340520831327392063057493743136397, 361364682783437335854027131385814913433476], [244347479778265736417440160638910938767930, 74456188989325218668330333936833655168908, 52577751358204743070392222973215474691770, 371993063540327017833610204986211905900215], [233719353903155549457976089486377471136477, 74455662709967827266812023243279736768907, 42539581273712465817721020775379766790797, 361364937682899548278703285242962763772612], [233719353920839073445455493018854485152717, 84493832793849940050016135842889056250828, 52577751358204355290141139698472469379774, 361364937682899548278703285242962763772612], [233719099003693755811243332845212435683690, 63827281953079758480052028413867446656664, 42540107526849878358321982130090382833278, 361364682783438142412221368586072154073476], [233719099003694143591494416119687679101293, 74455917617966525585093097219540121556668, 52577751349057286149118554658354994154077, 361364682783438142412221368586072154073476], [233719098995156882162115345462545179875594, 63827808206216364437730979889702005188028, 31911455407748541468056449460210764714318, 351326496262415595000987080259688730988115], [351327030746932294665502760607361748769094, 319117897851356628845032416916137511375291, 180520749542299272028447297527338734805613, 244347742899960197872153751195687193265469], [223383769405785935001447248621677611064292, 329450774582796450191275185752219966049841, 42244340471930925619114206657535007241026, 244342030478467765146848704167009299015281], [202098241961729891231179203551406175032714, 116699179891025638948846341657858880383837, 159851720379317598315366738719209620860184, 191475565312535437594746384762133664044229]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 264479053824, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': None, 'aut_solvable': None, 'aut_stats': [[1, 1, 1, 1], [2, 162, 1, 1], [2, 162, 2, 1], [2, 1458, 1, 2], [2, 1458, 2, 2], [2, 6561, 1, 1], [2, 26244, 2, 3], [2, 52488, 2, 1], [2, 118098, 1, 2], [2, 118098, 2, 2], [2, 531441, 1, 2], [2, 1062882, 1, 1], [2, 1062882, 2, 1], [3, 8, 1, 2], [3, 8, 2, 2], [3, 24, 1, 1], [3, 24, 3, 1], [3, 32, 1, 1], [3, 48, 1, 1], [3, 48, 2, 1], [3, 48, 3, 1], [3, 48, 6, 1], [3, 72, 1, 2], [3, 72, 2, 1], [3, 72, 3, 1], [3, 72, 6, 1], [3, 96, 1, 1], [3, 96, 2, 1], [3, 96, 3, 1], [3, 96, 6, 2], [3, 144, 1, 1], [3, 144, 2, 1], [3, 144, 3, 2], [3, 144, 6, 3], [3, 144, 12, 1], [3, 192, 1, 1], [3, 288, 1, 3], [3, 288, 2, 3], [3, 288, 3, 1], [3, 288, 6, 8], [3, 288, 12, 1], [3, 432, 1, 1], [3, 432, 2, 1], [3, 432, 3, 1], [3, 432, 6, 1], [3, 576, 1, 1], [3, 576, 3, 1], [3, 576, 6, 1], [3, 648, 1, 1], [3, 648, 2, 1], [3, 648, 6, 1], [3, 864, 1, 1], [3, 864, 2, 3], [3, 864, 3, 5], [3, 864, 6, 14], [3, 864, 12, 3], [3, 1296, 1, 1], [3, 1296, 6, 1], [3, 1296, 12, 1], [3, 1728, 1, 2], [3, 1728, 2, 1], [3, 1728, 3, 3], [3, 1728, 6, 6], [3, 2592, 1, 3], [3, 2592, 2, 3], [3, 2592, 3, 2], [3, 2592, 6, 11], [3, 2592, 12, 1], [3, 5184, 1, 1], [3, 5184, 2, 1], [3, 5184, 3, 6], [3, 5184, 6, 11], [3, 7776, 1, 1], [3, 7776, 2, 1], [3, 7776, 3, 1], [3, 7776, 6, 1], [3, 15552, 1, 2], [3, 15552, 2, 1], [3, 15552, 3, 6], [3, 15552, 6, 9], [3, 23328, 1, 2], [3, 23328, 2, 1], [3, 23328, 3, 1], [3, 23328, 6, 1], [3, 46656, 1, 1], [3, 46656, 3, 2], [3, 46656, 6, 2], [3, 104976, 1, 1], [3, 139968, 1, 1], [3, 139968, 3, 1], [4, 472392, 8, 1], [4, 4251528, 2, 1], [4, 38263752, 2, 2], [4, 38263752, 8, 1], [6, 648, 1, 4], [6, 648, 2, 4], [6, 648, 3, 2], [6, 648, 6, 2], [6, 1296, 2, 4], [6, 1296, 3, 2], [6, 1296, 4, 1], [6, 1296, 6, 6], [6, 1296, 12, 1], [6, 1944, 1, 1], [6, 1944, 2, 1], [6, 1944, 3, 1], [6, 1944, 6, 1], [6, 2592, 1, 2], [6, 2592, 2, 2], [6, 2592, 3, 2], [6, 2592, 6, 10], [6, 2592, 12, 2], [6, 3888, 1, 1], [6, 3888, 2, 4], [6, 3888, 3, 1], [6, 3888, 6, 16], [6, 5832, 1, 10], [6, 5832, 2, 10], [6, 5832, 3, 1], [6, 5832, 6, 1], [6, 7776, 1, 1], [6, 7776, 2, 4], [6, 7776, 3, 5], [6, 7776, 6, 48], [6, 7776, 12, 22], [6, 11664, 1, 1], [6, 11664, 2, 10], [6, 11664, 3, 2], [6, 11664, 6, 9], [6, 11664, 12, 4], [6, 15552, 1, 1], [6, 15552, 2, 1], [6, 15552, 3, 1], [6, 15552, 6, 7], [6, 17496, 1, 2], [6, 17496, 2, 2], [6, 17496, 3, 2], [6, 17496, 6, 2], [6, 23328, 1, 9], [6, 23328, 2, 12], [6, 23328, 3, 7], [6, 23328, 6, 50], [6, 23328, 12, 28], [6, 34992, 1, 3], [6, 34992, 2, 9], [6, 34992, 3, 3], [6, 34992, 6, 9], [6, 46656, 1, 1], [6, 46656, 2, 1], [6, 46656, 3, 7], [6, 46656, 6, 31], [6, 52488, 1, 7], [6, 52488, 2, 19], [6, 52488, 3, 4], [6, 52488, 6, 7], [6, 69984, 1, 2], [6, 69984, 2, 11], [6, 69984, 3, 2], [6, 69984, 6, 23], [6, 104976, 1, 2], [6, 104976, 2, 27], [6, 104976, 3, 6], [6, 104976, 4, 1], [6, 104976, 6, 17], [6, 104976, 12, 2], [6, 139968, 1, 3], [6, 139968, 2, 3], [6, 139968, 3, 7], [6, 139968, 6, 31], [6, 157464, 2, 3], [6, 157464, 6, 3], [6, 209952, 1, 8], [6, 209952, 2, 27], [6, 209952, 3, 11], [6, 209952, 6, 43], [6, 209952, 12, 5], [6, 314928, 1, 2], [6, 314928, 2, 11], [6, 314928, 3, 2], [6, 314928, 4, 1], [6, 314928, 6, 23], [6, 314928, 12, 1], [6, 419904, 1, 2], [6, 419904, 2, 5], [6, 419904, 3, 6], [6, 419904, 6, 9], [6, 472392, 1, 10], [6, 472392, 2, 13], [6, 472392, 3, 4], [6, 472392, 6, 4], [6, 629856, 2, 15], [6, 629856, 4, 1], [6, 629856, 6, 39], [6, 629856, 12, 1], [6, 944784, 2, 16], [6, 944784, 3, 4], [6, 944784, 4, 1], [6, 944784, 6, 13], [6, 1259712, 1, 2], [6, 1259712, 2, 5], [6, 1259712, 3, 2], [6, 1259712, 6, 17], [6, 1889568, 1, 9], [6, 1889568, 2, 20], [6, 1889568, 3, 6], [6, 1889568, 4, 1], [6, 1889568, 6, 25], [6, 1889568, 12, 2], [6, 3779136, 2, 3], [6, 3779136, 3, 4], [6, 3779136, 6, 7], [6, 4251528, 1, 8], [6, 4251528, 2, 6], [6, 5668704, 4, 1], [6, 5668704, 12, 1], [6, 8503056, 1, 2], [6, 8503056, 2, 3], [6, 17006112, 1, 5], [6, 17006112, 2, 4], [9, 144, 1, 1], [9, 288, 1, 1], [9, 288, 2, 1], [9, 576, 1, 1], [9, 576, 2, 2], [9, 864, 1, 1], [9, 864, 2, 1], [9, 864, 3, 1], [9, 864, 6, 1], [9, 1728, 2, 3], [9, 1728, 6, 4], [9, 1728, 12, 1], [9, 2592, 1, 2], [9, 2592, 2, 2], [9, 3456, 1, 1], [9, 3456, 2, 1], [9, 5184, 1, 1], [9, 5184, 2, 5], [9, 5184, 3, 1], [9, 5184, 4, 1], [9, 5184, 6, 8], [9, 5184, 12, 4], [9, 10368, 1, 3], [9, 10368, 2, 3], [9, 10368, 6, 3], [9, 15552, 2, 4], [9, 15552, 6, 6], [9, 15552, 12, 3], [9, 31104, 1, 1], [9, 31104, 2, 4], [9, 31104, 3, 3], [9, 31104, 6, 10], [9, 31104, 12, 1], [9, 46656, 1, 1], [9, 46656, 2, 2], [9, 46656, 6, 1], [9, 46656, 12, 1], [9, 62208, 1, 1], [9, 62208, 2, 1], [9, 93312, 1, 3], [9, 93312, 2, 4], [9, 93312, 3, 1], [9, 93312, 6, 8], [9, 93312, 12, 1], [9, 186624, 1, 2], [9, 186624, 2, 2], [9, 186624, 3, 1], [9, 186624, 6, 1], [9, 279936, 1, 1], [9, 279936, 2, 1], [9, 279936, 3, 1], [9, 279936, 6, 1], [9, 419904, 2, 2], [9, 559872, 1, 1], [9, 559872, 2, 2], [9, 559872, 3, 1], [9, 559872, 6, 2], [9, 839808, 2, 2], [9, 1679616, 2, 1], [12, 944784, 8, 2], [12, 944784, 24, 1], [12, 1889568, 8, 1], [12, 1889568, 24, 1], [12, 2834352, 8, 1], [12, 2834352, 24, 1], [12, 5668704, 8, 1], [12, 5668704, 24, 5], [12, 8503056, 4, 1], [12, 8503056, 8, 1], [12, 8503056, 12, 1], [12, 17006112, 2, 1], [12, 17006112, 6, 1], [12, 17006112, 8, 1], [12, 17006112, 12, 2], [12, 17006112, 24, 1], [12, 76527504, 4, 2], [12, 76527504, 8, 2], [12, 153055008, 2, 2], [12, 153055008, 8, 1], [18, 11664, 1, 1], [18, 11664, 2, 1], [18, 23328, 1, 1], [18, 23328, 2, 4], [18, 23328, 6, 3], [18, 46656, 1, 1], [18, 46656, 2, 5], [18, 46656, 3, 1], [18, 46656, 4, 1], [18, 46656, 6, 11], [18, 46656, 12, 7], [18, 69984, 1, 1], [18, 69984, 2, 1], [18, 69984, 3, 1], [18, 69984, 6, 1], [18, 104976, 1, 2], [18, 104976, 2, 2], [18, 139968, 2, 3], [18, 139968, 6, 19], [18, 139968, 12, 22], [18, 209952, 1, 4], [18, 209952, 2, 10], [18, 279936, 1, 1], [18, 279936, 2, 1], [18, 279936, 3, 1], [18, 279936, 6, 7], [18, 419904, 1, 2], [18, 419904, 2, 12], [18, 419904, 4, 1], [18, 419904, 6, 4], [18, 419904, 12, 1], [18, 629856, 1, 2], [18, 629856, 2, 2], [18, 629856, 3, 2], [18, 629856, 6, 2], [18, 839808, 1, 4], [18, 839808, 2, 4], [18, 839808, 3, 2], [18, 839808, 6, 10], [18, 839808, 12, 2], [18, 944784, 2, 3], [18, 1259712, 2, 7], [18, 1259712, 4, 1], [18, 1259712, 6, 6], [18, 1889568, 1, 4], [18, 1889568, 2, 13], [18, 1889568, 4, 1], [18, 1889568, 6, 3], [18, 2519424, 1, 1], [18, 2519424, 2, 1], [18, 2519424, 3, 2], [18, 2519424, 6, 2], [18, 3779136, 2, 18], [18, 3779136, 4, 2], [18, 3779136, 6, 6], [18, 7558272, 1, 3], [18, 7558272, 2, 8], [18, 7558272, 6, 3], [18, 11337408, 4, 1], [18, 11337408, 12, 1], [18, 34012224, 4, 1], [18, 68024448, 2, 1], [36, 17006112, 8, 1], [36, 34012224, 8, 1], [36, 34012224, 24, 1]], 'aut_supersolvable': None, 'aut_tex': None, 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': [[1, 1, 1], [2, 162, 3], [2, 1458, 6], [2, 6561, 1], [2, 26244, 6], [2, 52488, 2], [2, 118098, 6], [2, 531441, 2], [2, 1062882, 3], [3, 8, 6], [3, 24, 4], [3, 32, 1], [3, 48, 12], [3, 72, 13], [3, 96, 18], [3, 144, 39], [3, 192, 1], [3, 288, 72], [3, 432, 12], [3, 576, 10], [3, 648, 9], [3, 864, 142], [3, 1296, 19], [3, 1728, 49], [3, 2592, 93], [3, 5184, 87], [3, 7776, 12], [3, 15552, 76], [3, 23328, 13], [3, 46656, 19], [3, 104976, 1], [3, 139968, 4], [4, 472392, 8], [4, 4251528, 2], [4, 38263752, 12], [6, 648, 30], [6, 1296, 66], [6, 1944, 12], [6, 2592, 96], [6, 3888, 108], [6, 5832, 39], [6, 7776, 576], [6, 11664, 129], [6, 15552, 48], [6, 17496, 24], [6, 23328, 690], [6, 34992, 84], [6, 46656, 210], [6, 52488, 99], [6, 69984, 168], [6, 104976, 204], [6, 139968, 216], [6, 157464, 24], [6, 209952, 413], [6, 314928, 184], [6, 419904, 84], [6, 472392, 72], [6, 629856, 280], [6, 944784, 126], [6, 1259712, 120], [6, 1889568, 245], [6, 3779136, 60], [6, 4251528, 20], [6, 5668704, 16], [6, 8503056, 8], [6, 17006112, 13], [9, 144, 1], [9, 288, 3], [9, 576, 5], [9, 864, 12], [9, 1728, 42], [9, 2592, 6], [9, 3456, 3], [9, 5184, 114], [9, 10368, 27], [9, 15552, 80], [9, 31104, 90], [9, 46656, 23], [9, 62208, 3], [9, 93312, 74], [9, 186624, 15], [9, 279936, 12], [9, 419904, 4], [9, 559872, 20], [9, 839808, 4], [9, 1679616, 2], [12, 944784, 40], [12, 1889568, 32], [12, 2834352, 32], [12, 5668704, 128], [12, 8503056, 24], [12, 17006112, 64], [12, 76527504, 24], [12, 153055008, 12], [18, 11664, 3], [18, 23328, 27], [18, 46656, 168], [18, 69984, 12], [18, 104976, 6], [18, 139968, 384], [18, 209952, 24], [18, 279936, 48], [18, 419904, 66], [18, 629856, 24], [18, 839808, 102], [18, 944784, 6], [18, 1259712, 54], [18, 1889568, 52], [18, 2519424, 21], [18, 3779136, 80], [18, 7558272, 37], [18, 11337408, 16], [18, 34012224, 4], [18, 68024448, 2], [36, 17006112, 8], [36, 34012224, 32]], 'center_label': '1.1', 'center_order': None, 'central_product': None, 'central_quotient': '11019960576.bb', 'commutator_count': None, 'commutator_label': None, 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 24, 'conjugacy_classes_known': False, 'counter': 28, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': None, 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 162, 1, 3], [2, 1458, 1, 6], [2, 6561, 1, 1], [2, 26244, 1, 6], [2, 52488, 1, 2], [2, 118098, 1, 6], [2, 531441, 1, 2], [2, 1062882, 1, 3], [3, 8, 1, 6], [3, 24, 1, 4], [3, 32, 1, 1], [3, 48, 1, 12], [3, 72, 1, 13], [3, 96, 1, 18], [3, 144, 1, 39], [3, 192, 1, 1], [3, 288, 1, 72], [3, 432, 1, 12], [3, 576, 1, 10], [3, 648, 1, 9], [3, 864, 1, 142], [3, 1296, 1, 19], [3, 1728, 1, 49], [3, 2592, 1, 93], [3, 5184, 1, 87], [3, 7776, 1, 12], [3, 15552, 1, 76], [3, 23328, 1, 13], [3, 46656, 1, 19], [3, 104976, 1, 1], [3, 139968, 1, 4], [4, 472392, 2, 4], [4, 4251528, 1, 2], [4, 38263752, 1, 4], [4, 38263752, 2, 4], [6, 648, 1, 30], [6, 1296, 1, 66], [6, 1944, 1, 12], [6, 2592, 1, 96], [6, 3888, 1, 108], [6, 5832, 1, 39], [6, 7776, 1, 576], [6, 11664, 1, 129], [6, 15552, 1, 48], [6, 17496, 1, 24], [6, 23328, 1, 690], [6, 34992, 1, 84], [6, 46656, 1, 210], [6, 52488, 1, 99], [6, 69984, 1, 168], [6, 104976, 1, 204], [6, 139968, 1, 216], [6, 157464, 1, 24], [6, 209952, 1, 413], [6, 314928, 1, 184], [6, 419904, 1, 84], [6, 472392, 1, 72], [6, 629856, 1, 280], [6, 944784, 1, 126], [6, 1259712, 1, 120], [6, 1889568, 1, 245], [6, 3779136, 1, 60], [6, 4251528, 1, 20], [6, 5668704, 1, 16], [6, 8503056, 1, 8], [6, 17006112, 1, 13], [9, 144, 1, 1], [9, 288, 1, 3], [9, 576, 1, 5], [9, 864, 1, 12], [9, 1728, 1, 42], [9, 2592, 1, 6], [9, 3456, 1, 3], [9, 5184, 1, 114], [9, 10368, 1, 27], [9, 15552, 1, 78], [9, 15552, 2, 1], [9, 31104, 1, 90], [9, 46656, 1, 23], [9, 62208, 1, 3], [9, 93312, 1, 74], [9, 186624, 1, 15], [9, 279936, 1, 12], [9, 419904, 1, 4], [9, 559872, 1, 18], [9, 559872, 2, 1], [9, 839808, 1, 4], [9, 1679616, 1, 2], [12, 944784, 2, 20], [12, 1889568, 2, 16], [12, 2834352, 2, 16], [12, 5668704, 2, 64], [12, 8503056, 1, 16], [12, 8503056, 2, 4], [12, 17006112, 1, 32], [12, 17006112, 2, 16], [12, 76527504, 1, 8], [12, 76527504, 2, 8], [12, 153055008, 1, 4], [12, 153055008, 2, 4], [18, 11664, 1, 3], [18, 23328, 1, 27], [18, 46656, 1, 168], [18, 69984, 1, 12], [18, 104976, 1, 6], [18, 139968, 1, 384], [18, 209952, 1, 24], [18, 279936, 1, 48], [18, 419904, 1, 66], [18, 629856, 1, 24], [18, 839808, 1, 102], [18, 944784, 1, 6], [18, 1259712, 1, 48], [18, 1259712, 2, 3], [18, 1889568, 1, 52], [18, 2519424, 1, 21], [18, 3779136, 1, 80], [18, 7558272, 1, 37], [18, 11337408, 1, 16], [18, 34012224, 1, 4], [18, 68024448, 1, 2], [36, 17006112, 2, 4], [36, 34012224, 2, 16]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 36, 'exponents_of_order': [16, 8], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': None, 'familial': False, 'frattini_label': '6561.1396077', 'frattini_quotient': '1679616.gm', 'hash': 5766388261493213175, 'hyperelementary': 1, 'inner_abelian': None, 'inner_cyclic': None, 'inner_exponent': None, 'inner_gen_orders': None, 'inner_gens': None, 'inner_hash': None, 'inner_nilpotent': None, 'inner_order': None, 'inner_split': None, 'inner_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'inner_used': None, 'irrC_degree': None, 'irrQ_degree': None, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': None, 'label': '11019960576.bb', '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': False, 'metacyclic': False, 'monomial': None, 'name': 'C3^8.C3^8:(C2^5.D4)', 'ngens': 4, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 19, 0, 0, 0, 27, 0, 0, 0, 43, 0, 0, 51, 0, 43, 0, 15, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 1584, 'number_characteristic_subgroups': 54, 'number_conjugacy_classes': 7300, 'number_divisions': 7119, 'number_normal_subgroups': 218, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 11019960576, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 5238351], [3, 4100624], [4, 471447216], [6, 1924423920], [9, 38946096], [12, 5880335616], [18, 1471028688], [36, 1224440064]], 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': False, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': None, 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 24, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': None, 'pc_rank': None, 'perfect': False, 'permutation_degree': 36, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 4], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': None, 'representations': {'PC': {'code': '2991487898852652557237589253277463639004218549259010944323235108226220487367229561823903744345956367516172467076325722051240482291479394418759780379428963234362903639506286155465674522826533508250320851606862340093689023620689736464024693664063516581621663440099342735682205053367765003796730695077639471723329876976571027393383220265861078548381909949189833868626260996760141685473628247974128276769398310430036218543448104064957637043014704258473095411709947991359011538757213159599644662290034652879263177720269514248872638258409047878015931126848955267393875088063645020501427641930132300183889839568737231847157818509086096267914494667291813396813363300852623583644514075455106313435337752553471102996170977833481540680872854162697999321079696965331584503206406449203895550221068183767887260004058562644479817692187601279034318366048873295418478486266482551335319723039548986111077786385114469642854638879842593125498152488672191002121877496169098740280701118871640325111588935525736436147578139957761568209510238228444327726554485802860235966289688467343446871620234930634509691505822647471191206513492548098639634972978273929147082028681145527129643630084361501454506900167120518515380888540809508993508269051807462421965665230869274043530947530104025985939935808414173160504944460166855142128018226952160030569699118374554807686915763358850616650713362220218032034182933136545293814616657823662593771117929913206482522870889796513576860262934388569284554104790697438479874325619733530333651771389556440960234116074970331806805578742113191794634181936739531002365134776903123008614920991373546798341877445049361715426751339710887511382622502950734854838786196477039334087997174010144475230948633098633890721735764524352086428204308303575627311441551026066165101813333745353970443295839708440435239833977251804008281322615026938107127222419845527990493972574276896274493528673831919311046524620194246104026856102221952972179252132749982677310752264334885166103549450292933533723696793155860197614739501197913394294725358685069254182027593679801927535536300269760669205713530305192541533553210252569126956395137899747799950624812219989033592054689370137361086297301206047496697178361993581605404251189395315120921588883455', 'gens': [1, 3, 5, 7, 9, 11, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24], 'pres': [24, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 48, 179415369241, 789416336738, 223678368458, 194, 1038463531779, 444157944219, 109595897931, 40437160324, 57180423388, 277978770772, 91769657596, 340, 1567393823237, 104427330077, 375011320373, 66295564493, 1238779827270, 66419240862, 200210295318, 90227122350, 23093115798, 45624479670, 486, 826628087815, 857369696287, 73563145783, 62789336143, 18169728871, 44170542847, 2479, 931506708104, 78819091232, 449991987896, 131028726032, 59427092552, 51630560048, 19224372968, 548931992, 632, 65303470089, 276513, 465455185977, 34665, 703881856138, 1237408786978, 176335850650, 355898378962, 85953035626, 30337252834, 9048901114, 10717667314, 3861179194, 778, 2429833264139, 1534066366499, 139338123323, 59103364691, 64202678891, 66145020035, 27744187547, 11107003571, 1980295115, 306110291, 1219493713164, 1704958474788, 736087412796, 351683579604, 141105549420, 38468027652, 30507347676, 12032508564, 10322412, 678504780, 6319212, 1582847336461, 1306974541861, 195840433213, 319656056917, 879185773, 47603396869, 26025830365, 113077, 19958605, 749393821, 185180965, 61727197, 3762096399374, 29997941798, 486759041342, 44663788886, 180889044590, 82777075334, 2778053918, 2881682126, 782635214, 15756398, 5252342, 3315775107087, 1518958116903, 986270736447, 6065584215, 7770581103, 13597424775, 13441695, 7347760311, 4999657167, 854390271, 219438999, 73073967, 45353415, 3974257432336, 115749430312, 1074124744768, 381323217112, 8313349360, 108066960136, 31227985600, 7809374776, 5311342576, 908120128, 449750512, 5387128, 48195328, 5355376, 3236061182993, 798879366185, 392416026689, 417909860441, 102485720561, 476171273, 21040741601, 16541281049, 559530065, 10464161, 477606089, 82616417, 25544489, 5672969, 946481, 3458013852690, 68931440682, 419077628994, 17232860250, 4739036658, 2154107658, 789839586, 23934738, 39891138, 18948450, 6316362, 3518996075539, 713302364203, 436345297987, 569572784731, 318163507315, 121275740299, 47180528803, 18965145787, 6817806931, 30387139, 5521243, 93079027, 59136811, 855715, 155899, 1102003, 357547, 6211, 1915, 580628, 68568643628, 925676688452, 8571080564, 238085780, 39681188, 93971902485, 1185997013037, 37912444485, 512074607709, 148157247861, 67344203661, 4505010213, 7112147541, 686341125, 311779005, 103926549, 3849501, 1283445, 813021, 47997, 4999820653846, 740144881198, 62568502342, 371827933150, 368847610102, 89541682126, 55466249638, 4200841630, 8217708118, 386812054, 684809278, 76055446, 8450950, 939382, 104806, 12118, 4704107249687, 2115832430639, 39182082119, 264479053943, 44079842471, 7346640599]}, 'Perm': {'d': 36, 'gens': [351326767616091182872435199399247417753475, 223681183836346796195025114169522831165294, 52577751340520831302661736124149875587918, 74455662709968633849734276454457499456904]}}, 'schur_multiplier': None, 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 4], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 27, 'supersolvable': False, 'sylow_subgroups_known': False, 'tex_name': 'C_3^8.C_3^8:(C_2^5.D_4)', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}
• ['group_order', 'group_counter'] [11019960576, 28] does not appear in gps_conj_classes
• group 11019960576.bb does not appear in gps_qchar
• group 11019960576.bb 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: 125419660
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 11019960576, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '11019960576.bb.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.A', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11019960576.bb', 'subgroup_hash': None, 'subgroup_order': 11019960576, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125419835
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5509980288, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.2._.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5509980288.dd', 'subgroup_hash': None, 'subgroup_order': 5509980288, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125419946
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5509980288, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.2._.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5509980288.cz', 'subgroup_hash': None, 'subgroup_order': 5509980288, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^5:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5509980288, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.2._.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5509980288.dd', 'subgroup_hash': None, 'subgroup_order': 5509980288, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 5509980288, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.2._.D', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5509980288, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5509980288, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.2._.E', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5509980288.dd', 'subgroup_hash': None, 'subgroup_order': 5509980288, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5509980288, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.2._.F', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5509980288.cy', 'subgroup_hash': None, 'subgroup_order': 5509980288, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420501
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5509980288, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.2._.G', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5509980288.db', 'subgroup_hash': None, 'subgroup_order': 5509980288, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420612
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5509980288, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.2._.H', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5509980288, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5509980288, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.2._.I', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5509980288.db', 'subgroup_hash': None, 'subgroup_order': 5509980288, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125419736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5509980288, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.2._.J', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5509980288.cy', 'subgroup_hash': None, 'subgroup_order': 5509980288, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125419747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5509980288, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.2._.K', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5509980288.dd', 'subgroup_hash': None, 'subgroup_order': 5509980288, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125419758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5509980288, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.2._.L', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5509980288, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5509980288, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.2._.M', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5509980288.db', 'subgroup_hash': None, 'subgroup_order': 5509980288, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125419780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5509980288, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.2._.N', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5509980288.cz', 'subgroup_hash': None, 'subgroup_order': 5509980288, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^5:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125419791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5509980288, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.2._.O', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5509980288.db', 'subgroup_hash': None, 'subgroup_order': 5509980288, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125419802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2754990144, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^{10}.C_3^5.C_6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125419813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419836
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419847
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125419858
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419869
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2754990144.fn', 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^2.C_4^2)', 'supersolvable': False, 'sylow': 0}
  • id: 125419880
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2754990144.fp', 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^4:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125419891
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125419902
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2754990144.fq', 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^2.C_4^2)', 'supersolvable': False, 'sylow': 0}
  • id: 125419913
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2754990144.fr', 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.(C_3^2:S_3^3.S_3^3)', 'supersolvable': False, 'sylow': 0}
  • id: 125419935
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2754990144, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419947
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2754990144.fn', 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^2.C_4^2)', 'supersolvable': False, 'sylow': 0}
  • id: 125419958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2754990144.fq', 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^2.C_4^2)', 'supersolvable': False, 'sylow': 0}
  • id: 125419969
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419991
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2754990144.fo', 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.(C_3^6.D_6^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2754990144.fm', 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^2.C_4^2)', 'supersolvable': False, 'sylow': 0}
  • id: 125420024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2754990144, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_6.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 125420035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2754990144.fr', 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.(C_3^2:S_3^3.S_3^3)', 'supersolvable': False, 'sylow': 0}
  • id: 125420058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2754990144.fo', 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.(C_3^6.D_6^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2754990144.fo', 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.(C_3^6.D_6^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2754990144.fn', 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^2.C_4^2)', 'supersolvable': False, 'sylow': 0}
  • id: 125420113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_3^2.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2754990144.fn', 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^2.C_4^2)', 'supersolvable': False, 'sylow': 0}
  • id: 125420135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2754990144.fo', 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.(C_3^6.D_6^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2754990144.fm', 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^2.C_4^2)', 'supersolvable': False, 'sylow': 0}
  • id: 125420180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2754990144.fp', 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^4:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2754990144, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2754990144, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2754990144, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2754990144, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2754990144, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.BR', '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': 4, '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': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.BS', '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': 4, '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': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.BT', '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': 4, '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': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.BU', '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': 4, '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': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.BV', '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': 4, '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': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.BW', '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': 4, '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': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.BX', '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': 4, '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': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.BY', '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': 4, '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': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.BZ', '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': 4, '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': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.CA', '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': 4, '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': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.CB', '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': 4, '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': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.CC', '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': 4, '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': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.CD', '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': 4, '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': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.CE', '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': 4, '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': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.CF', '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': 4, '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': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.4._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.CG', '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': 4, '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': None, 'subgroup_hash': None, 'subgroup_order': 2754990144, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420490
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_3^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_3^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.S_3^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_3^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_3^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_3^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1377495072, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420635
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420646
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1377495072, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420657
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{11}.C_3^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{11}.C_3^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^9.C_3^5.C_3^2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125419662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^9.C_3^5.C_6^2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125419684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125419695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1377495072, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1377495072, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_3^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1377495072, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^9.C_3^5.C_6^2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1377495072, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1377495072, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125419748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419749
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1377495072, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.BZ', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CA', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_3^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CB', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CC', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_3^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CD', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CE', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CF', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CG', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CH', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CI', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CJ', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CK', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419768
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CL', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CM', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419771
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CN', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CO', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CP', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CQ', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419775
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CR', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CS', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CT', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CU', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CV', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CW', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CX', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CY', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^9.C_3^5.C_3:S_3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 125419784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CZ', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125419785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DA', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DB', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DC', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DD', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DE', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DF', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DG', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DH', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DI', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DJ', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DK', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_3^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DL', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DM', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DN', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DO', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DP', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DQ', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DR', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DS', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DT', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DU', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DV', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DW', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DX', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DY', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DZ', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EA', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EB', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EC', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.ED', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EE', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EF', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EG', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EH', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EI', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EJ', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EK', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EL', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EM', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EN', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EO', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EP', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EQ', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.ER', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.ES', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419834
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.ET', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419837
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EU', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419838
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EV', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EW', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419840
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EX', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419841
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EY', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419842
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EZ', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419843
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FA', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419844
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FB', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^3.C_6.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419845
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FC', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419846
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FD', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FE', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419849
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FF', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419850
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FG', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FH', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419852
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FI', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419853
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FJ', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125419854
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FK', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125419855
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FL', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125419856
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FM', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125419857
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FN', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125419859
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FO', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419860
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FP', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419861
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FQ', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419862
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FR', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{11}.C_3^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125419863
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FS', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419864
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FT', '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': 8, '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': '1377495072.fc', 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.(C_3^7.C_2^3:C_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 125419865
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FU', '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': 8, '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': '1377495072.fc', 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.(C_3^7.C_2^3:C_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 125419866
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FV', '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': 8, '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': '1377495072.fa', 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^3:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125419867
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FW', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125419868
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FX', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125419870
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FY', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419871
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FZ', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419872
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GA', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GB', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419874
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GC', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419875
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GD', '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': 8, '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': '1377495072.fa', 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^3:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125419876
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GE', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125419877
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GF', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_3^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419878
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GG', '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': 8, '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': '1377495072.fa', 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^3:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125419879
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GH', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419881
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GI', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125419882
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GJ', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.S_3^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419883
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GK', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_3^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GL', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125419885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GM', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 125419886
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GN', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 125419887
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GO', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125419888
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GP', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125419889
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GQ', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125419890
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GR', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125419892
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GS', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419893
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GT', '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': 8, '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': '1377495072.fa', 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^3:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125419894
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GU', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419895
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GV', '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': 8, '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': '1377495072.fb', 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^3:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125419896
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GW', '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': 8, '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': '1377495072.fb', 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^8:(C_2^3:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125419897
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GX', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^3.C_6.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419898
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GY', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419899
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GZ', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419900
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HA', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419901
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HB', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419903
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HC', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419904
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HD', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419905
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.8._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HE', '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': 8, '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': None, 'subgroup_hash': None, 'subgroup_order': 1377495072, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419906
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.12._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.A', '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': 12, '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': None, 'subgroup_hash': None, 'subgroup_order': 918330048, 'subgroup_tex': 'C_3^7.C_3^5.S_3^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419907
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.12._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.B', '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': 12, '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': None, 'subgroup_hash': None, 'subgroup_order': 918330048, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 125419908
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.12._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.C', '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': 12, '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': None, 'subgroup_hash': None, 'subgroup_order': 918330048, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419909
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.12._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.D', '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': 12, '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': None, 'subgroup_hash': None, 'subgroup_order': 918330048, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419910
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.12._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.E', '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': 12, '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': '918330048.br', 'subgroup_hash': None, 'subgroup_order': 918330048, 'subgroup_tex': 'C_3^8.(C_3:S_3^3.S_3^3)', 'supersolvable': False, 'sylow': 0}
  • id: 125419911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.12._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.F', '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': 12, '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': None, 'subgroup_hash': None, 'subgroup_order': 918330048, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419912
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.12._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.G', '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': 12, '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': '918330048.br', 'subgroup_hash': None, 'subgroup_order': 918330048, 'subgroup_tex': 'C_3^8.(C_3:S_3^3.S_3^3)', 'supersolvable': False, 'sylow': 0}
  • id: 125419914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.12._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.H', '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': 12, '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': None, 'subgroup_hash': None, 'subgroup_order': 918330048, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.12._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.I', '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': 12, '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': None, 'subgroup_hash': None, 'subgroup_order': 918330048, 'subgroup_tex': 'C_3^{12}.C_6^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125419916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.12._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.J', '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': 12, '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': None, 'subgroup_hash': None, 'subgroup_order': 918330048, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 688747536, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 688747536, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.S_3^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125419919
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 688747536, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419920
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419921
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.S_3^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125419925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419926
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419929
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125419937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.S_3^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125419942
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419943
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419944
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419945
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419948
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 688747536, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{11}.C_3^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125419949
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419950
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 688747536, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.C_6^2.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419951
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^5.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419952
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125419953
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125419954
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.C_6^2.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 688747536, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 688747536, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.S_3^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125419961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419963
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 688747536, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^5.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.BR', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^4.S_3^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 125419966
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.BS', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419967
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.BT', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.C_6^2.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419968
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.BU', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125419970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.BV', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^5.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.BW', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125419972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.BX', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419973
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.BY', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.BZ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^3.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419975
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CA', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.C_3:S_3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125419976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CB', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419977
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CC', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125419978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CD', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.(C_3:S_3.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125419979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CE', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CF', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CG', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^3.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CH', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.\\He_3.C_3^5.D_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125419984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CI', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.D_6:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 125419985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CJ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^2.D_6:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 125419986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CK', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CL', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.(C_3:S_3.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125419988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CM', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CN', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.(C_3:S_3.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125419990
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CO', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CP', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.(C_3:S_3.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125419993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CQ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{11}.C_3^5.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CR', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.D_6:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 125419995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CS', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^3.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CT', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125419997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CU', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125419998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CV', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125419999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CW', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CX', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CY', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.CZ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DA', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DB', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^3.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DC', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.C_3:S_3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DD', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^2.D_6:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 125420008
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DE', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.(C_3:S_3.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DF', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^4.C_3^5.C_3^5.C_6^2.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DG', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DH', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DI', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DJ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DK', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.(C_3:S_3.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DL', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^5.C_3^2.C_6^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DM', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DN', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DO', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DP', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DQ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DR', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DS', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DT', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.S_3^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DU', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DV', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DW', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.D_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DX', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.S_3^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DY', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.DZ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^4.C_3^5.C_3^4.C_6^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EA', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EB', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EC', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.C_6^2.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ED', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^4.C_3^5.C_3^5.C_6^2.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EE', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EF', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EG', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EH', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.S_3^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EI', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EJ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EK', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EL', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EM', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EN', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EO', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EP', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^2.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EQ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^2.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ER', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ES', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ET', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EU', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EV', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EW', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^4.S_3^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 125420059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EX', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EY', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^5.D_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.EZ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.(C_3:S_3.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FA', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FB', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FC', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FD', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FE', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.(C_3:S_3.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FF', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^2.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FG', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^2.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FH', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FI', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^4.S_3^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 125420072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FJ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FK', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FL', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FM', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FN', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FO', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FP', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.D_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FQ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FR', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FS', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{11}.C_3^5.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FT', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.C_4:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FU', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FV', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^2.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FW', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^2.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FX', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^4.C_3:S_3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FY', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.FZ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GA', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GB', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GC', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^4.S_3^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 125420094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GD', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GE', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^2.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GF', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GG', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GH', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GI', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GJ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GK', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GL', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GM', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.S_3^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GN', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GO', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GP', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GQ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GR', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GS', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GT', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GU', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.S_3^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GV', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GW', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GX', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_6^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GY', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^4.C_6^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.GZ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HA', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HB', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HC', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.S_3^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HD', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HE', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HF', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HG', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HH', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.C_3^2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HI', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HJ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HK', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HL', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HM', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.C_6^2.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HN', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HO', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.C_3^5.C_3.\\He_3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HP', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HQ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HR', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HS', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HT', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HU', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HV', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HW', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HX', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^5.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HY', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.HZ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.C_3^5.C_3^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IA', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.C_3^5.C_3^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IB', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IC', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.C_3^2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ID', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IE', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IF', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IG', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IH', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.II', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IJ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IK', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IL', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.C_3^2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IM', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IN', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IO', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.C_3^2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IP', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^5.C_3^3.C_6^2.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IQ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.C_3^5.C_3.\\He_3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IR', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^5.C_3^5.C_3^5.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IS', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.C_3^5.C_3^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IT', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.C_3^5.C_3^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IU', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.C_6^2.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IV', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IW', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IX', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.C_3^5.C_3.\\He_3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IY', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.C_6^2.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.IZ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.C_6^2.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JA', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.C_3^5.C_3^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JB', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JC', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JD', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JE', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.C_3^5.C_3^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JF', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JG', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.S_3^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JH', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.C_3^5.C_3^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JI', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JJ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JK', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JL', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JM', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JN', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.C_6^2.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JO', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JP', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JQ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JR', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JS', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JT', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 43046721, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JU', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JV', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JW', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{11}.C_3^5.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JX', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{11}.C_3^5.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JY', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.JZ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KA', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KB', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KC', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.C_3:S_3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KD', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^3.C_6.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KE', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KF', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KG', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KH', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{11}.C_3^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KI', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KJ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KK', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KL', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KM', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KN', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KO', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KP', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KQ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^4.S_3^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KR', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.\\He_3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KS', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KT', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^3.C_6.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KU', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KV', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^4.S_3^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 125420230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KW', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^4.S_3^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 125420231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KX', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^3.C_6.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KY', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.KZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.KZ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LA', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LB', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^3.C_6.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LC', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LD', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^4.S_3^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 125420239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LE', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^4.S_3^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 125420240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LF', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LG', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LH', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.\\He_3.C_3^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LI', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.(C_6^2\\times S_3).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LJ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LK', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LL', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LM', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.C_3:S_3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LN', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LO', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LP', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LQ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LR', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LS', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.S_3^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LT', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LU', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LV', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LW', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LX', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LY', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.LZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.LZ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.C_3^5.C_3^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MA', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^5.C_3^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MB', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MC', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MD', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.ME', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ME', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^5.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MF', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MG', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MH', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MI', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MJ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MK', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.ML', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ML', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^3.C_6.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MM', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MN', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MO', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MP', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^2.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MQ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MR', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MS', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^4.S_3^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 125420285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MT', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^5.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MU', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MV', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^5.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MW', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MX', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MY', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.MZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.MZ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NA', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NB', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NC', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.ND', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ND', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.S_3^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NE', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NF', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NG', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NH', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NI', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^5.D_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NJ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NK', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NL', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^5.C_3^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NM', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NN', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.(C_6^2\\times S_3).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NO', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.(C_3\\times D_6:D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 125420309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NP', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NQ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NR', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NS', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NT', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NU', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.(C_6^2\\times S_3).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NV', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NW', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.(S_3\\times D_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 125420318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NX', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NY', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.NZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.NZ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.(S_3\\times D_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 125420321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OA', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OB', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OC', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OD', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OE', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OF', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420328
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OG', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^2.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OH', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OI', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OJ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OK', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OL', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OM', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.C_6^2.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.ON', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ON', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OO', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.C_3^5.C_3.\\He_3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OP', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^3.C_6.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OQ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^3.D_6:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 125420340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OR', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^4.S_3^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 125420341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OS', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^4.S_3^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 125420342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OT', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OU', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OV', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OW', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OX', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OY', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.OZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.OZ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PA', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PB', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PC', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PD', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PE', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.(C_3:S_3.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PF', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PG', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PH', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PI', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PJ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^5.C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PK', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.C_3^5.C_3^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PL', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PM', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PN', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.C_3^5.C_3^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PO', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^7.C_3^5.C_3^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PP', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PQ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PR', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PS', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PT', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PU', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^9.C_3^5.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PV', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^3.C_6.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PW', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PX', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PY', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^4.S_3^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 125420377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.PZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.PZ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QA', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QB', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QC', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^2.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QD', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QE', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QF', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QG', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^2.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QH', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QI', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^2.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QJ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QK', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QL', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QM', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^2.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QN', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QO', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^2.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 125420396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QP', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^4.C_3:S_3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QQ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QR', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QS', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QT', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QU', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QV', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QW', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QX', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^4.C_3:S_3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QY', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420407
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.QZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.QZ', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^4.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420408
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.RA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.RA', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^4.S_3^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.RB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.RB', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^4.C_3:S_3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.RC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.RC', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.RD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.RD', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^{10}.C_3^4.S_3^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.16._.RE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.RE', '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': 16, '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': None, 'subgroup_hash': None, 'subgroup_order': 688747536, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.18._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.A', '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': 18, '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': None, 'subgroup_hash': None, 'subgroup_order': 612220032, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.18._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.B', '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': 18, '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': None, 'subgroup_hash': None, 'subgroup_order': 612220032, 'subgroup_tex': 'C_3^{10}.C_3^4.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.18._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.C', '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': 18, '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': '612220032.gw', 'subgroup_hash': None, 'subgroup_order': 612220032, 'subgroup_tex': 'C_3^8.(C_3^6:C_2^4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.18._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.D', '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': 18, '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': None, 'subgroup_hash': None, 'subgroup_order': 612220032, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.18._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.E', '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': 18, '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': None, 'subgroup_hash': None, 'subgroup_order': 612220032, 'subgroup_tex': 'C_3^{10}.C_3^4.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.18._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.F', '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': 18, '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': '612220032.gw', 'subgroup_hash': None, 'subgroup_order': 612220032, 'subgroup_tex': 'C_3^8.(C_3^6:C_2^4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.18._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.G', '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': 18, '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': '612220032.gx', 'subgroup_hash': None, 'subgroup_order': 612220032, 'subgroup_tex': 'C_3^8.C_3^6:(C_2^5:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.18._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.H', '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': 18, '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': '612220032.gw', 'subgroup_hash': None, 'subgroup_order': 612220032, 'subgroup_tex': 'C_3^8.(C_3^6:C_2^4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.18._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.I', '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': 18, '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': None, 'subgroup_hash': None, 'subgroup_order': 612220032, 'subgroup_tex': 'C_3^4.C_3^4.C_3^4.C_3^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.18._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.J', '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': 18, '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': None, 'subgroup_hash': None, 'subgroup_order': 612220032, 'subgroup_tex': 'C_3^{10}.C_3^4.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.18._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.K', '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': 18, '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': '612220032.gw', 'subgroup_hash': None, 'subgroup_order': 612220032, 'subgroup_tex': 'C_3^8.(C_3^6:C_2^4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.18._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.L', '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': 18, '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': '612220032.gx', 'subgroup_hash': None, 'subgroup_order': 612220032, 'subgroup_tex': 'C_3^8.C_3^6:(C_2^5:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 125420427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.A', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.B', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_3^2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.C', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.D', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.E', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.F', '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': 24, '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': '459165024.cs', 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.(C_3^2:S_3^3.S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 125420433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.G', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.H', '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': 24, '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': '459165024.cs', 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.(C_3^2:S_3^3.S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 125420436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.I', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.J', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.K', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.L', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.M', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.N', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.O', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{11}.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.P', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.Q', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.R', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.S', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.T', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.U', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.V', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{11}.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.W', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{11}.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.X', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{10}.C_3^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.Y', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{10}.C_3^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.Z', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^9.C_3^4.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BA', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BB', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BC', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.S_3^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BD', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BE', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BF', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_6^2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BG', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BH', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_6^2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BI', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3\\times C_3^8.C_3^5.C_6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BJ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.\\He_3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BK', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^5.C_3^5.C_3^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BL', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^5.C_3^5.C_3^4.C_6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BM', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{10}.C_3^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BN', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_6^2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BO', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^9.C_3^5.D_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BP', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BQ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BR', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^9.C_3^4.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BS', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{11}.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BT', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420477
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BU', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420478
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BV', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^9.C_3^5.C_6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420480
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BW', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BX', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BY', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BZ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CA', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420485
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CB', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{11}.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420486
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CC', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.S_3^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420487
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CD', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{10}.C_3^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420488
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CE', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{10}.C_3^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420489
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CF', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{10}.C_3^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420491
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CG', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420492
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CH', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.S_3^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420493
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CI', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.S_3^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420494
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CJ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CK', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_3^2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420496
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CL', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.S_3^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CM', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^9.C_3^4.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CN', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CO', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420500
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CP', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^9.C_3^4.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CQ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^9.C_3^4.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CR', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_6^2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CS', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420506
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CT', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420507
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CU', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CV', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.S_3^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CW', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CX', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420511
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CY', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CZ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^9.C_3^5.D_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DA', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DB', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DC', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_3^2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DD', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^3.C_6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DE', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3.\\He_3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DF', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^5.C_3^5.C_3^4.C_6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420520
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DG', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^4.C_3^5.C_3^5.C_6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420521
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DH', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^4.C_3^5.C_3^5.C_6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420522
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DI', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^4.C_3^5.C_3^5.C_6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420523
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DJ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420525
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DK', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.S_3^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DL', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420527
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DM', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{10}.C_3^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DN', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420529
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DO', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^9.C_3^4.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DP', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DQ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420532
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DR', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420533
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DS', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420534
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DT', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^9.C_3^5.C_6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DU', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{11}.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DV', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^9.C_3^4.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420538
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DW', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DX', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DY', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.DZ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EA', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^9.C_3^4.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EB', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420544
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EC', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ED', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.S_3^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EE', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EF', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^9.C_3^4.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EG', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EH', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 844, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EI', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_3^2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 845, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EJ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EK', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EL', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EM', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_6^2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EN', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EO', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EP', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EQ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^9.C_3^4.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 853, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ER', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 854, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ES', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 855, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ET', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_6^2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 856, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EU', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420565
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 857, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EV', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 858, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EW', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^9.C_3^4.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 859, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EX', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 860, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EY', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 861, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.EZ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_6^2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 862, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FA', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 863, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FB', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 864, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FC', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 865, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FD', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 866, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FE', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 867, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FF', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^9.C_3^4.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 868, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FG', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420578
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 869, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FH', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 870, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FI', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{11}.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420581
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 871, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FJ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.S_3^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 872, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FK', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 873, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FL', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^9.C_3^4.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 874, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FM', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 875, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FN', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^5.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 876, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FO', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^3.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420587
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 877, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FP', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^3.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420588
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 878, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FQ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.C_3^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420589
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 879, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FR', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^3.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420591
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 880, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FS', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 881, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FT', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^9.C_3^5.C_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 125420593
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 882, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FU', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{11}.C_3^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 883, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FV', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420595
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 884, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FW', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420596
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 885, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FX', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 886, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FY', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 887, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.FZ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420599
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 888, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GA', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 889, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GB', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 890, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GC', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 891, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GD', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 892, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GE', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 893, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GF', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 894, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GG', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^3.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 895, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GH', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.C_3^5.S_3^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125420608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 896, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GI', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^3.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 897, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GJ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 898, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GK', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420611
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 899, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GL', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^9.C_3.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 900, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GM', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_3:S_3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 125420615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 901, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GN', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 902, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GO', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 903, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GP', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 904, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GQ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420619
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 905, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GR', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420620
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 906, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GS', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420621
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 907, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GT', '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': 24, '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': '459165024.cr', 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.(C_3^3:S_3^3.C_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 125420622
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 908, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GU', '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': 24, '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': '459165024.cr', 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.(C_3^3:S_3^3.C_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 125420623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 909, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GV', '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': 24, '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': '459165024.cq', 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.(C_3^2:S_3^3.S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 125420625
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 910, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GW', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 911, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GX', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3.C_3^5.C_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 125420627
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 912, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GY', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 913, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.GZ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420629
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 914, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HA', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420630
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 915, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HB', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{11}.C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420631
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 916, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HC', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125420632
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 917, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HD', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420633
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 918, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HE', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{10}.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420634
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 919, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HF', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 920, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HG', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 921, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HH', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 125420638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 922, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HI', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 923, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HJ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^4.C_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 125420640
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 924, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HK', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 925, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HL', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420642
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 926, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HM', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 927, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HN', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 928, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HO', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420645
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 929, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HP', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420647
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 930, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HQ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420648
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 931, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HR', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_3.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420649
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 932, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HS', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 933, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HT', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420651
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 934, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HU', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420652
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 935, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HV', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420653
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 936, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HW', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420654
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 937, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HX', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420655
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 938, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HY', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420656
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 939, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.HZ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 940, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IA', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 941, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IB', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420660
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 942, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IC', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 943, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ID', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 944, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IE', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420663
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 945, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IF', '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': 24, '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': '459165024.cq', 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.(C_3^2:S_3^3.S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 125420664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 946, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IG', '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': 24, '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': '459165024.cr', 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.(C_3^3:S_3^3.C_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 125420665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 947, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IH', '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': 24, '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': '459165024.cr', 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.(C_3^3:S_3^3.C_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 125420666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 948, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.II', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^6.C_3^4.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 949, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IJ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 950, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IK', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_3:S_3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 125420670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 951, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IL', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{10}.C_3^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 952, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IM', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 953, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IN', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 954, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IO', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^2.C_6.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 955, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IP', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 956, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IQ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 957, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IR', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 958, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IS', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 959, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IT', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 960, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IU', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 961, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IV', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 962, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IW', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 963, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IX', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 964, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IY', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 965, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.IZ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 966, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JA', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420687
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 967, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JB', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420688
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 968, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JC', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 969, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JD', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 970, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JE', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 971, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JF', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 972, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JG', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 973, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JH', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 974, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JI', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 975, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JJ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 976, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JK', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 977, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JL', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 978, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JM', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 979, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JN', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 980, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JO', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 981, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JP', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 982, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JQ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420705
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 983, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JR', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 984, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JS', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 985, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JT', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420708
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 986, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JU', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^2.C_6.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420709
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 987, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JV', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 125420710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 988, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JW', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 989, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JX', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 990, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JY', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 991, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.JZ', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 992, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.KA', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 993, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.KB', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 125420717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 994, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.KC', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{10}.C_3^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420718
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 995, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.KD', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^7.\\He_3.C_3^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 125420719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 996, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.KE', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^8.C_3^5.C_6^2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125420720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 997, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.KF', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^9.C_3^5.C_6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 125420721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4251528, 'counter': 998, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.24._.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.KG', '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': 24, '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': None, 'subgroup_hash': None, 'subgroup_order': 459165024, 'subgroup_tex': 'C_3^{12}.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 125420722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 344373768, 'counter': 999, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419663
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 344373768, 'counter': 1000, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^9.C_3^4.S_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 1001, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 344373768, 'counter': 1002, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.49', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^7.C_3^5.C_3.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 344373768, 'counter': 1003, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 1004, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 1005, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 344373768, 'counter': 1006, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^{12}.C_3.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 1007, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^9.C_3^4.S_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 1008, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^{11}.C_3^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 1009, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^8.C_3^5.S_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 1010, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 344373768, 'counter': 1011, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^9.C_3^5.C_3.D_6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125419676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 1012, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^9.C_3^5.C_3.D_6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125419677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 1013, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 344373768, 'counter': 1014, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 344373768, 'counter': 1015, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^{11}.C_3^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 1016, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.49', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^9.C_3^5.C_3^2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 1017, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 1018, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^{11}.C_3^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 1019, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.49', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 1020, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^{10}.C_3^5.D_6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125419686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 1021, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^8.C_3^5.S_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419687
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 1022, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^{11}.C_3^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419688
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 1023, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 344373768, 'counter': 1024, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.49', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^9.C_3^5.C_3.D_6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125419690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 344373768, 'counter': 1025, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.32._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344373768, 'subgroup_tex': 'C_3^8.C_3^5.C_3^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 1026, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.64._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.215', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172186884, 'subgroup_tex': 'C_3^8.C_3^5.C_3^2.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 125419692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 1027, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.64._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.90', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172186884, 'subgroup_tex': 'C_3^{11}.C_3^4.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 125419693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 1028, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.64._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.90', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172186884, 'subgroup_tex': 'C_3^{11}.C_3^4.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 125419694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 1029, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.64._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.90', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172186884, 'subgroup_tex': 'C_3^9.C_3^5.C_3.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 125419696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 1030, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.64._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.90', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172186884, 'subgroup_tex': 'C_3^9.C_3^5.C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 1031, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.64._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.215', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172186884, 'subgroup_tex': 'C_3^6.C_3^5.C_3^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 1032, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.64._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.90', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172186884, 'subgroup_tex': 'C_3^{10}.C_3^5.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 125419699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 1033, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.64._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.90', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172186884, 'subgroup_tex': 'C_3^{10}.C_3^5.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 125419700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 1034, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.64._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.90', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172186884, 'subgroup_tex': 'C_3^{10}.C_3^5.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 125419701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 1035, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.64._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.90', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172186884, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 172186884, 'counter': 1036, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.64._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.199', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172186884, 'subgroup_tex': 'C_3^8.C_3^5.C_3^2.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 125419703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 172186884, 'counter': 1037, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.64._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.90', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172186884, 'subgroup_tex': 'C_3^9.C_3^5.C_3.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 125419704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 172186884, 'counter': 1038, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.64._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.90', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172186884, 'subgroup_tex': 'C_3^9.C_3^5.C_3.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 125419705
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 172186884, 'counter': 1039, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.64._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.90', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172186884, 'subgroup_tex': 'C_3^{11}.C_3^4.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 125419707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 172186884, 'counter': 1040, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.64._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.90', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172186884, 'subgroup_tex': 'C_3^9.C_3^5.C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419708
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 172186884, 'counter': 1041, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.64._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.193', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172186884, 'subgroup_tex': 'C_3^8.C_3^5.C_3^2.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 125419709
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 1042, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.64._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.215', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172186884, 'subgroup_tex': 'C_3^7.C_3^5.C_3^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 172186884, 'counter': 1043, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.64._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.215', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172186884, 'subgroup_tex': 'C_3^8.C_3^5.C_3^2.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 125419711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 172186884, 'counter': 1044, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.64._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.199', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172186884, 'subgroup_tex': 'C_3^6.C_3^5.C_3^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 86093442, 'counter': 1045, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.128._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1613', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 86093442, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125419713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 86093442, 'counter': 1046, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.128._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1040', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 86093442, 'subgroup_tex': 'C_3^6.C_3^5.C_3^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125419714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 86093442, 'counter': 1047, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.128._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1613', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 86093442, 'subgroup_tex': 'C_3^{12}.C_3^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125419715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 43046721, 'counter': 1048, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '11019960576.bb.256.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.14734', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 43046721, 'subgroup_tex': 'C_3^{12}.C_3^4', 'supersolvable': True, 'sylow': 3}
  • id: 125419716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4251528, 'counter': 1049, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.2592._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2592.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2592.ci', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 2592, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3:S_3^3:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4251528, 'subgroup_tex': 'C_3^5.C_3^4.S_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419718
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4251528, 'counter': 1050, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.2592._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2592.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2592.cl', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 2592, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3:S_3^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4251528, 'subgroup_tex': 'C_3^9.S_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 125419719
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 1051, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.5184._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5184.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5184.fu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 5184, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_6:S_3^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2125764, 'subgroup_tex': 'C_3^{11}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 125419720
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 1052, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.5184._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5184.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5184.fu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 5184, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_6:S_3^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2125764, 'subgroup_tex': 'C_3^{11}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 125419721
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2125764, 'counter': 1053, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.5184._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5184.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5184.fu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 5184, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_6:S_3^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2125764, 'subgroup_tex': 'C_3^{11}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 125419722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 1054, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.5184._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5184.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5184.fa', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 5184, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3:S_3^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2125764, 'subgroup_tex': 'C_3^6.C_3^5.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 125419723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2125764, 'counter': 1055, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.5184._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5184.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5184.fa', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 5184, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3:S_3^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2125764, 'subgroup_tex': 'C_3^6.C_3^5.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 125419724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2125764, 'counter': 1056, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.5184._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5184.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5184.ff', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 5184, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^4:C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2125764, 'subgroup_tex': 'C_3^5.C_3^5.C_3.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 125419725
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1062882, 'counter': 1057, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.10368._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10368.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 10368, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1062882, 'subgroup_tex': 'C_3^{12}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 125419726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1062882, 'counter': 1058, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.10368._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10368.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 10368, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1062882, 'subgroup_tex': 'C_3^5.C_3^5.C_3.S_3', 'supersolvable': True, 'sylow': 0}
  • id: 125419727
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 531441, 'counter': 1059, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.20736._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20736.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20736.bz', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 20736, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_6:S_3^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 531441, 'subgroup_tex': 'C_3^{12}', 'supersolvable': True, 'sylow': 0}
  • id: 125419729
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 531441, 'counter': 1060, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.20736._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20736.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20736.bl', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 20736, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_6^3:S_3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 531441, 'subgroup_tex': 'C_3^5.C_3^5.C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 125419730
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6561, 'counter': 1061, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.1679616._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1679616.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1679616.gm', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1679616, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^8:(C_2^5.D_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6561.1396077', 'subgroup_hash': None, 'subgroup_order': 6561, 'subgroup_tex': 'C_3^8', 'supersolvable': True, 'sylow': 0}
  • id: 125419731
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 81, 'counter': 1062, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '11019960576.bb.136048896._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '136048896.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '136048896.hy', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 136048896, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^8.C_3^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.15', 'subgroup_hash': None, 'subgroup_order': 81, 'subgroup_tex': 'C_3^4', 'supersolvable': True, 'sylow': 0}
  • id: 125419732
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '11019960576.bb', 'ambient_counter': 28, 'ambient_order': 11019960576, 'ambient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 1063, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '11019960576.bb.11019960576.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '11019960576.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '11019960576.bb', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 11019960576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^8.C_3^8:(C_2^5.D_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': None, '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: 125419663
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 295241021878258668983475091252178481843, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 8240827066861323059517350486931837, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419664
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 8240827066861323059517350486931837, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419665
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 351309002356175672126133, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419666
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 295232799039620029244287529313208147442, 93405312004, 17988427843301161121503736908825, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419667
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 295232799039620029244287529313208147442, 93405312004, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419668
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419669
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 17988427843301161121503736908825, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419670
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 295241021878258695931580476065142972324, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419671
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 295232817028016850099758895913380068668, 3785716289115616371721061641883764080, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419672
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 8222838670040441985057831172064612, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419688
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 295241039866686163195719829588157135402, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419689
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419690
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 295232799039620029218681035696419703735, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419691
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 376062624860912327116944, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 295241039866686214935351640216866867692, 806582922253211445524582404], 'label': '11019960576.bb.64._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419692
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295232817028016525802368938561367055213, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.64._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419693
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 8222838669716144598501176920544515, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.64._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419694
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 295232817028016850125361988844977056267, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.64._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419710
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 295241039866686487531015976009005446479, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 376062624860912327116944, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.64._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419711
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.64._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419712
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 243, 240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.128._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419713
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 376062624860912327116944, 79879200, 138276409308149846733575561562414632301603, 243, 240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.128._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419714
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 138276409308149846733575561562414632301603, 243, 240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.128._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419715
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': '256.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 138276409308149846733575561562414632301603, 243, 240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.256.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419716
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 26976022002804247868160, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 376037018367283041085893, 138276409308149846733575561562414632301603, 324360900372060389421363, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.2592._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2592.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2592._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419918
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419919
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 17988428194610163477679409034956, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419920
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420005
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 74455662718810411354684021719070536589681, 79879200, 351309002356175672126133, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420104
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 295241039866686487531015976009005446479, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 376062624860912327116944, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420105
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 295241039866686487531015976009005446479, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 8240827066861350974999897788421304, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420106
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 295241039866686487531015976009005446479, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003, 8240827066861350974999897788421304], 'label': '11019960576.bb.16._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420107
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 17988428194610163477679409034956, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420108
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241021878258695931577075367497600614, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420109
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 8240827066861323059517350486931837, 17988427843301161121503736908825, 93405312004, 79879200, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420110
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420111
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420112
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 351336917838722973741600], 'label': '11019960576.bb.16._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420127
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 27011615799521420732034, 8240827066861350974999897788421304, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420128
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 295232799039620002270579051581100710962, 27011615799521420732034, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420129
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420130
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420131
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 295241021878258344622579255333372820547, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420132
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241021878258695956940278795922421923, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420133
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 8240827066861350974999897788421304, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420134
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 8240827066861350974999897788421304, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420149
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 27011615799521420732034], 'label': '11019960576.bb.16._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420150
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241021878258695956940278795922421923, 79879200, 138276409308149846733575561562414632301603, 27011615799521420732034, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420151
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 376703623296244, 51704033477944353408003, 27011615799521420732034, 8240827066861350974999897788421304, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ID', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420152
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 8240827066861350974999897788421304, 79879200, 138276409308149846733575561562414632301603, 27011615799521420732034, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420153
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 27011615799521420732034, 8240827066861350974999897788421304], 'label': '11019960576.bb.16._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420154
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 8240827066861350974999897788421304, 295241021878258695956940278795922421923, 79879200, 138276409308149846733575561562414632301603, 27011615799521420732034, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420155
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 295241039866686512284636212755915390666, 376703623296244, 51704033477944353408003, 27011615799521420732034, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420156
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295232799039619677909683215662295049666, 79879200, 138276409308149846733575561562414632301603, 27011615799521420732034, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.II', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420171
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 8240827066861350974999897788421304, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420172
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 8240827066861350974999897788421304, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420173
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241021878258695954626753817458332323, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 8240827066861350974999897788421304, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420174
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039619653181662668413342329746, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420175
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 295232799039619653181662668413342329746, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420176
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 295232799039619653181662668413342329746, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420177
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241021878258695954626753817458332323, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 295232799039619653181662668413342329746, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420178
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 295232799039620029241730714133926393842, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420179
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 295232799039620029241730714133926393842, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420208
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 244347208324186803149127782024070751779719, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420251
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 159851465471326062319492743129367977397194, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.LP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420266
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295232799039619677909683215662295049666, 79879200, 351309002356175672126133, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.MD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420267
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.ME', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ME', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ME', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420296
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066861350974999897788421304], 'label': '11019960576.bb.16._.ND', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ND', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ND', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420311
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 27011615799521420732034, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.NR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420312
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003, 27011615799521420732034], 'label': '11019960576.bb.16._.NS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420327
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.16._.OF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420370
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 376062624860912327116944, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 295241039866686214935351640216866867692, 806582922253211445524582404], 'label': '11019960576.bb.16._.PS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420371
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 295241039866686214935351640216866867692, 8240827066861350974999897788421304, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.PT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420372
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003, 295241039866686214935351640216866867692, 8240827066861350974999897788421304], 'label': '11019960576.bb.16._.PU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420428
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 376037018367283041166533, 9147069141022586128370311296147, 324356034568044036141504, 80640, 26976022714179104140800, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420429
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 265918733642759464059895761599684335755333, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 265922519368198165223211902331029514337798, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420458
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 8240827066861323059517350486931837, 93405312004, 79879200, 295241039866686163195719829588157135402, 17988428194610163477679409034956, 351336917838722973741600, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420473
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 351336917838722973741600, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420474
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295241039866686539232738196871234509439, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420475
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 351336917838722973741600, 265919260105889563445493308223278866854453, 265918733642759464059895761599684335755333, 240, 243, 138274491117887479521387864951619706173587, 806582922253211445524582404], 'label': '11019960576.bb.24._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420476
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 265922519368198165223211902331029514337798, 351336917838722973741600, 265918733642759464059895761599684335755333, 240, 243, 806582922253211445524582404], 'label': '11019960576.bb.24._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420477
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420478
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 17988427843301161121503736908825, 93405312004, 138279940116439424564917199653023401763987, 79879200, 351309002356175672126133, 295241039866686163195719829588157135402, 265918733642759464059895761599684335755333, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420521
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420522
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 265918733642759464059895761599684335755333, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 351309002356175672126133, 265919260105889563445493308223278866854453, 93405312004, 240, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420565
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 295241039866686539258101400287205289146, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 295241021878258319894558708084420226627, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.24._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420566
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 79879200, 351309002356175672126133, 265919260105889563445493308223278866854453, 265918733642759464059895761599684335755333, 240, 243, 138274491117887479521387864951619706173587, 806582922253211445524582404], 'label': '11019960576.bb.24._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420567
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 79879200, 351309002356175672126133, 265922519368198165223211902331029514337798, 265918733642759464059895761599684335755333, 240, 243, 806582922253211445524582404], 'label': '11019960576.bb.24._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420582
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039619653181662668413342329746, 26976022002804168079920, 80640, 243, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 295241021878258319894558708084420226627, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420583
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039619653181662668413342329746, 26976022002804168079920, 80640, 243, 295241039866686539258101400287205289146, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 295241021878258319894558708084420226627, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420584
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 79879200, 351309002356175672126133, 265919260105889563445493308223278866854453, 265918733642759464059895761599684335755333, 240, 243, 295232799039619653181662668413342329746, 138274491117887479521387864951619706173587, 806582922253211445524582404], 'label': '11019960576.bb.24._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420585
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 79879200, 351309002356175672126133, 265922519368198165223211902331029514337798, 265918733642759464059895761599684335755333, 240, 243, 295232799039619653181662668413342329746, 806582922253211445524582404], 'label': '11019960576.bb.24._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420628
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 265922519368198165223211902331029514337798, 376703623296244, 51704033477944353408003, 223681183836346796195025114169522831165294, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420629
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 265922519368198165223211902331029514337798, 376703623296244, 51704033477944353408003, 223681183836346796195025114169522831165294, 8222838669689132982701655499938481], 'label': '11019960576.bb.24._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420630
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 32212663695025207370791392823317474358917, 17988427843301161121503736908825, 93405312004, 138280195106855557007089495861173153299763, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419660
    {'ambient': '11019960576.bb', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 351309002356175672126133, 240, 93405312004, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322, 223681183836346796195025114169522831165294, 17988427843301161121503736908825], 'label': '11019960576.bb.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1.A', 'projective_image': None, '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': None}
  • id: 125419661
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 223681183845188573699974859434123414256519, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 223681175622349904010841876732480368404998, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 351309002356175672126133, 93405312004, 240, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.2._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419662
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.8._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419673
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 10628652119101336968945826904512973382960, 295232799039619677909683215662295049666, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419674
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 295241039866686163195719829588157135402, 17988428194610163477679409034956, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419675
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 295241021878258344622579255333372820547, 243, 240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419676
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 295232817028016498790757675181609916843, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419677
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.32._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419678
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 17988427843301161121503736908825, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419679
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419680
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 295241039866686512284636212755915390666, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419681
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 295232799039620029218684436394065201445, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419682
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 8240827066861323059517350486931837, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419683
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 295241039866686512284636212755915390666, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419684
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 10628652119101336968945826904512973382960, 295232799039619677909683215662295049666, 9146650338351416191655337984144, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419685
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419686
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 295232799039619677909683215662295049666, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419687
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419695
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 159851457248487423652780090379897717335675, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419696
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.64._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419697
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 376062624860912327116944, 79879200, 138276409308149846733575561562414632301603, 240, 243, 27011615799521420732034, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.64._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419698
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 295232799039620029218681035696419703735, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.64._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419699
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 8240827066861323059517350486931837, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.64._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419700
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 295232799039620029244287529313208147442, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.64._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419701
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.64._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419702
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 295241039866686512284636212755915390666, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.64._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419703
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 295241021878258668983475091252178481843, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.64._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419704
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.64._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419705
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.64._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419706
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [159851457248488230235720525575631346505451, 271353675587871455539490683625517360, 9146650338351416191655337984144, 295241039866686187923740376837109729322, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419707
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 17988427843301161121503736908825, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.64._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419708
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.64._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419709
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 376062624860912327116944, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.64._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419717
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 8240827066861323059517350486931837, 9146650338351416191655337984144, 159851457248487423652780090379897717335675, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419718
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 93405312004, 17988427843301161121503736908825, 79879200, 295241039866686163195719829588157135402, 243, 240, 806582922253211445524582404], 'label': '11019960576.bb.2592._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2592.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2592._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419719
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 243, 240, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.5184._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5184.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5184._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419720
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 243, 240, 806582922253211445524582404], 'label': '11019960576.bb.5184._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5184.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5184._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419721
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10628380765425749097490287413829347865600, 93405312004, 295241039866686163195719829588157135402, 243, 51704033477944353408003, 271353675587871455539490683625517360, 79879200, 17988427843301161121503736908825, 240, 376703623296244, 80640, 806582922253211445524582404, 51708899281960706733363, 9147069141022586128370311296147], 'label': '11019960576.bb.5184._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5184.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5184._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419722
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 138276409308149846733575561562414632301603, 376060071025085192524944, 6790363012042583355328143347533917364, 806582922253211445524582404, 27011615799347064149490], 'label': '11019960576.bb.5184._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5184.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5184._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419723
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 376037018367283041085893, 138276409308149846733575561562414632301603, 376060071025085192524944, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.5184._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5184.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5184._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419724
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 26976022002804247868160, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 138276409308149846733575561562414632301603, 324360900372060389421363, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.5184._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5184.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5184._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419725
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10628380765425749097490287413829347865600, 93405312004, 295241039866686163195719829588157135402, 243, 51704033477944353408003, 271353675587871455539490683625517360, 79879200, 240, 376703623296244, 80640, 806582922253211445524582404, 51708899281960706733363, 9147069141022586128370311296147], 'label': '11019960576.bb.10368._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10368.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10368._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419726
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 138276409308149846733575561562414632301603, 376060071025085192524944, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.10368._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10368.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10368._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419727
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10628380765425749097490287413829347865600, 93405312004, 243, 51704033477944353408003, 271353675587871455539490683625517360, 79879200, 240, 376703623296244, 80640, 806582922253211445524582404, 51708899281960706733363, 9147069141022586128370311296147], 'label': '11019960576.bb.20736._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20736.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20736._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419728
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [159851457248488230235720525575631346505451, 271353675587871455539490683625517360, 9146650338351416191655337984144, 295241039866686187923740376837109729322, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 8240827066861323059517350486931837, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419729
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 138276409308149846733575561562414632301603, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.20736._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20736.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20736._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419730
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [51708899281960706733363, 271353675587871455539490683625517360, 376703623296244, 10628380765425749097490287413829347865600, 93405312004, 9147069141022586128370311296147, 806582922253211445524582404, 51704033477944353408003], 'label': '11019960576.bb.1679616._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1679616.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1679616._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419731
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 806582922253211445524582404], 'label': '11019960576.bb.136048896._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '136048896.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '136048896._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419732
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': '11019960576.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '11019960576.bb.11019960576.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11019960576.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11019960576.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419733
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 159851465471326062319492743129367977397194, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419734
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 17988428194610163477679409034956, 9146650338351416191655337984144, 159851465471326062319492743129367977397194, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419735
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 159851465471326868902433178325101606692970, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419736
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 223681175622349904010841876732480368404998, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 351309002356175672126133, 240, 93405312004, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.2._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419737
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 17988428194610163477679409034956, 159851465471326868902433178325101606692970, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419738
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 159851465471326062319492743129367977397194, 159851457248487423652780090379897717335675, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419739
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [159851457248488230235720525575631346505451, 271353675587871455539490683625517360, 9146650338351416191655337984144, 295241039866686187923740376837109729322, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 51704033477944353408003, 159851465471326062319492743129367977397194, 80640, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419740
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 159851465471326868902433178325101606692970, 9146650338351416191655337984144, 159851457248487423652780090379897717335675, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419741
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [159851457248488230235720525575631346505451, 271353675587871455539490683625517360, 9146650338351416191655337984144, 295241039866686187923740376837109729322, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 51704033477944353408003, 159851465471326868902433178325101606692970, 80640, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419742
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419743
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 17988428194610163477679409034956, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419744
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 240, 93405312004, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419745
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 240, 93405312004, 10628652119101336968945826904512973382960, 17988428194610163477679409034956, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419746
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419747
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 223681183845188573699974859434123414256519, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 351309002356175672126133, 240, 93405312004, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.2._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419748
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 295241039866686187923740376837109729322, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 159851457230498995809478929300239560202850, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.8._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419749
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 8222838670040441985057831172064612, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419750
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 351336917838722973741600, 295241039866686187923740376837109729322, 8222838669689132982701655499938481], 'label': '11019960576.bb.8._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419751
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 8222838670040441985057831172064612, 240, 93405312004, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419752
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 295241039866686187923740376837109729322, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 159851457230498995809478929300239560202850, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419753
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 295241039866686187923740376837109729322, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 8240827066861323059517350486931837, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 159851457230498995809478929300239560202850, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419754
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419755
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419756
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 159851465471326062319492743129367977397194, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419757
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 159851465471326062319492743129367977397194, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419758
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 351309002356175672126133, 240, 93405312004, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.2._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419759
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 159851465471326062319492743129367977397194, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419760
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 159851457248487423652780090379897717335675, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.8._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419761
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 295232799039619677909683215662295049666, 9146650338351416191655337984144, 159851457248487423652780090379897717335675, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419762
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 159851457248487423652780090379897717335675, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419763
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 295232799039619677909683215662295049666, 79879200, 295241039866686163195719829588157135402, 159851457248487423652780090379897717335675, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419764
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 159851465471326062319492743129367977397194, 159851457248487423652780090379897717335675, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419765
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 159556487571438361343543752244972265784198, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 159851465471326062319492743129367977397194, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419766
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 159851465471326062319492743129367977397194, 80640, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 159851457248487423652780090379897717335675, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419767
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 159556487571438361343543752244972265784198, 93405312004, 240, 295241039866686539232741597568879881149, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 159851465471326062319492743129367977397194, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419768
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 223681183836346796195025114169522831165294, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419769
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 351309002356175672126133, 93405312004, 240, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 223681183836346796195025114169522831165294, 8222838669689132982701655499938481], 'label': '11019960576.bb.2._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419770
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.8._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419771
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 223681183836346796195025114169522831165294, 8222838669689132982701655499938481], 'label': '11019960576.bb.8._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419772
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 295232817028016498790757675181609916843, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.8._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419773
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 223681175622349904010841876732480368404998, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419774
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 223681175622349904010841876732480368404998, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419775
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 223681183845188573699974859434123414256519, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 223681175622349904010841876732480368404998, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419776
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 351028012332649379358328808398931139154557, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 223681175622349904010841876732480368404998, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419777
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419778
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419779
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419780
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 351309002356175672126133, 240, 93405312004, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 223681183836346796195025114169522831165294, 17988427843301161121503736908825], 'label': '11019960576.bb.2._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419781
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419782
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 295241021878258344622579255333372820547, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419783
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 10628652119101336968945826904512973382960, 74455662718810411354684021719070536589681, 9146650338351416191655337984144, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419784
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 74163681115231359737023838281477689609720, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419785
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 223681183845188573699974859434123414256519, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.8._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419786
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8222838669689132982701655499938481], 'label': '11019960576.bb.8._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419787
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 295232817028016498790757675181609916843, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419788
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 159851457230498995809478929300239560202850, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.8._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419789
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 10628652119101336968945826904512973382960, 295232817028016498790757675181609916843, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419790
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 295241039866686539232741597568879881149, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419791
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 351309002356175672126133, 240, 93405312004, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.2._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419792
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 295241039866686539232741597568879881149, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419793
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 74455662709968633849734276454457499456904, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.8._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419794
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 295241039866686539232741597568879881149, 10628652119101336968945826904512973382960, 295232817028016498790757675181609916843, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419795
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.8._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419796
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 295232799039619677909683215662295049666, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.8._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419797
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 351028012332649379358328808398931139154557, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 295232799039619677909683215662295049666, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419798
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 74455662718810411354684021719070536589681, 79879200, 295241039866686163195719829588157135402, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419799
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 74163681115231359737023838281477689609720, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 10628652119101336968945826904512973382960, 295232799039619677909683215662295049666, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419800
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 159851465471326062319492743129367977397194, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419801
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.8._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419802
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.4._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419803
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 295232799039619677909683215662295049666, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419804
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 159851457230498995809478929300239560202850, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419805
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 295232799039619677909683215662295049666, 79879200, 295241039866686163195719829588157135402, 159851457230498995809478929300239560202850, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419806
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 295241039866686539232741597568879881149, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.8._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419807
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 74455662709968633849734276454457499456904, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 295232799039619677909683215662295049666, 79879200, 295241039866686163195719829588157135402, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419808
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419809
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.8._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419810
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 295232799039619677909683215662295049666, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419811
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 295232799039619677909683215662295049666, 9146650338351416191655337984144, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419812
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 17988428194610163477679409034956, 159851457230498995809478929300239560202850, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419813
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 223681183845188573699974859434123414256519, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419814
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 159851457230498995809478929300239560202850, 295241021878258695931580476065142972324, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419815
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 93405312004, 295232799039619677909683215662295049666, 79879200, 295241039866686163195719829588157135402, 17988428194610163477679409034956, 159851457230498995809478929300239560202850, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419816
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 93405312004, 295232799039619677909683215662295049666, 79879200, 295241039866686163195719829588157135402, 159851457230498995809478929300239560202850, 295241021878258695931580476065142972324, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419817
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 8240827066861323059517350486931837, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419818
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 8240827066861323059517350486931837, 9146650338351416191655337984144, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419819
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295232799039620029218684436394065201445, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419820
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295232799039620029218684436394065201445, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419821
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 8240827066861323059517350486931837, 93405312004, 79879200, 295241039866686163195719829588157135402, 17988428194610163477679409034956, 159851457230498995809478929300239560202850, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419822
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 8240827066861323059517350486931837, 93405312004, 79879200, 295241039866686163195719829588157135402, 159851457230498995809478929300239560202850, 295241021878258695931580476065142972324, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419823
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 295232799039620029218684436394065201445, 93405312004, 79879200, 295241039866686163195719829588157135402, 17988428194610163477679409034956, 159851457230498995809478929300239560202850, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419824
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 74455662718810411354684021719070536589681, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419825
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 295232799039620029218684436394065201445, 93405312004, 79879200, 295241039866686163195719829588157135402, 159851457230498995809478929300239560202850, 295241021878258695931580476065142972324, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419826
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419827
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 8240827066510014057161174814805704], 'label': '11019960576.bb.8._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419828
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 295232799039619677909683215662295049666, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419829
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 295232799039619677909683215662295049666, 9146650338351416191655337984144, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674], 'label': '11019960576.bb.8._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419830
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 17988428194610163477679409034956, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 8240827066510014057161174814805704], 'label': '11019960576.bb.8._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419831
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 295241021878258695931580476065142972324, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 8240827066510014057161174814805704], 'label': '11019960576.bb.8._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419832
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 17988428194610163477679409034956, 295232799039619677909683215662295049666, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674], 'label': '11019960576.bb.8._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419833
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 295241021878258695931580476065142972324, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 295232799039619677909683215662295049666, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674], 'label': '11019960576.bb.8._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419834
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 8240827066861323059517350486931837, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419835
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 74455662718810411354684021719070536589681, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.2._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419836
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 159851457248487423652780090379897717335675, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419837
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 8240827066861323059517350486931837, 9146650338351416191655337984144, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674], 'label': '11019960576.bb.8._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419838
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295232799039620029218684436394065201445, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419839
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295232799039620029218684436394065201445, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674], 'label': '11019960576.bb.8._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419840
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 17988428194610163477679409034956, 8240827066861323059517350486931837, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674], 'label': '11019960576.bb.8._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419841
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 295241021878258695931580476065142972324, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 8240827066861323059517350486931837, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674], 'label': '11019960576.bb.8._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419842
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295232799039620029218684436394065201445, 10628652119101336968945826904512973382960, 17988428194610163477679409034956, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674], 'label': '11019960576.bb.8._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419843
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 295241021878258695931580476065142972324, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295232799039620029218684436394065201445, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674], 'label': '11019960576.bb.8._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419844
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686163228767016036089770185, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 223681183836346796195025114169522831165294, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419845
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 8240827066510014057161174814805704, 223681183836346796195025114169522831165294, 51708899281960706733363, 51704033477944353408003, 295241039866686163228767016036089770185, 80640, 376703623296244, 93405312004, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419846
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 223681183836346796195025114169522831165294, 51708899281960706733363, 51704033477944353408003, 295241039866686163228767016036089770185, 80640, 376703623296244, 295232799039620029244287529313208147442, 93405312004, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419847
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 223681175622349904010841876732480368404998, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.4._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419848
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 295232799039620029244287529313208147442, 243, 6518881756620408281162514089535147123, 295241039866686163228767016036089770185, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 223681183836346796195025114169522831165294, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419849
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.8._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419850
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 295241021878258668983475091252178481843, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.8._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419851
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 295232799039619653181662668413342329746, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 295241021878258668983475091252178481843, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.8._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419852
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 295232799039619653181662668413342329746, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.8._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419853
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 10628652119101336968945826904512973382960, 295241039866686512284636212755915390666, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419854
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 240, 93405312004, 10628652119101336968945826904512973382960, 295241039866686512284636212755915390666, 9146650338351416191655337984144, 295241039866686539232738196871234509439, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419855
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [74455654495971741665551282307615854441200, 271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 51704033477944353408003, 80640, 26976022002804168079920, 376703623296244, 93405312004, 74455662718810411354684021719070536589681, 79879200, 351309002356175672126133, 351336917838722973741600, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419856
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419857
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 159851457230498995809478929300239560202850, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419858
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 223681183845188573699974859434123414256519, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 223681175622349904010841876732480368404998, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419859
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 159851457230498995809478929300239560202850, 295241021878258344622579255333372820547, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419860
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 17988427843301161121503736908825, 93405312004, 295232799039619677909683215662295049666, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 159851457230498995809478929300239560202850, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419861
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 93405312004, 295232799039619677909683215662295049666, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 159851457230498995809478929300239560202850, 295241021878258344622579255333372820547, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419862
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600], 'label': '11019960576.bb.8._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419863
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 74455662718810411354684021719070536589681, 295241039866686512284636212755915390666, 9146650338351416191655337984144, 295241039866686539232738196871234509439, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419864
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 26976022002804168079920, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 74455654495971741665551282307615854441200, 159851457248487423652780090379897717335675, 376703623296244, 51704033477944353408003, 351336917838722973741600], 'label': '11019960576.bb.8._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419865
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 51704033477944353408003, 80640, 26976022002804168079920, 376703623296244, 93405312004, 74455662718810411354684021719070536589681, 79879200, 351309002356175672126133, 351336917838722973741600, 159851457230498995809478929300239560202850, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419866
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 295241039866686512284636212755915390666, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 74455654487129995183021623704987239350025, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419867
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 295232799039619677909683215662295049666, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419868
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 295232799039619677909683215662295049666, 9146650338351416191655337984144, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 351336917838722973741600], 'label': '11019960576.bb.8._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419869
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 223681175622349904010841876732480368404998, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 74455662718810411354684021719070536589681, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419870
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 74455662709968633849734276454457499456904, 51708899281960706733363, 51704033477944353408003, 295241039866686539232738196871234509439, 80640, 26976022002804168079920, 376703623296244, 93405312004, 79879200, 351336917838722973741600, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.8._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419871
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 26976022002804168079920, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 8240827066861323059517350486931837, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419872
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 26976022002804168079920, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 8240827066861323059517350486931837, 9146650338351416191655337984144, 295241021878258319894558708084420226627, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419873
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 26976022002804168079920, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 295232799039620029218681035696419703735, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419874
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 295232799039620029218681035696419703735, 80640, 26976022002804168079920, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 79879200, 159851457230498995809478929300239560202850, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419875
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 74455662718810411354684021719070536589681, 295241039866686512284636212755915390666, 9146650338351416191655337984144, 295241039866686539232738196871234509439, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.8._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419876
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 26976022002804168079920, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419877
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 295241039866686512284636212755915390666, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322, 8222838669689132982701655499938481], 'label': '11019960576.bb.8._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419878
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 223681183845188573699974859434123414256519, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 295241039866686512284636212755915390666, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419879
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 8240827066510014057161174814805704, 223681183836346796195025114169522831165294, 51708899281960706733363, 51704033477944353408003, 295241039866686539232738196871234509439, 80640, 26976022002804168079920, 376703623296244, 93405312004, 79879200, 351336917838722973741600, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419880
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 223681175622349904010841876732480368404998, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 159851457248487423652780090379897717335675, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419881
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 80640, 26976022002804168079920, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 79879200, 351309002356175672126133, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419882
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 295232799039619653181662668413342329746, 26976022002804168079920, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419883
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 295241039866686512284636212755915390666, 9146650338351416191655337984144, 295241039866686539232738196871234509439, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 295241039866686187923740376837109729322, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.8._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419884
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 80640, 26976022002804168079920, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 79879200, 351309002356175672126133, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 295232799039619653181662668413342329746, 806582922253211445524582404], 'label': '11019960576.bb.8._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419885
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 51704033477944353408003, 80640, 26976022002804168079920, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 351309002356175672126133, 351336917838722973741600, 159851457230498995809478929300239560202850, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419886
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 51704033477944353408003, 295241039866686539232738196871234509439, 80640, 26976022002804168079920, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 351336917838722973741600, 159851457230498995809478929300239560202850, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419887
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 223681183845188573699974859434123414256519, 80640, 26976022002804168079920, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 351336917838722973741600, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419888
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 80640, 26976022002804168079920, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 351309002356175672126133, 351336917838722973741600, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419889
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 295241039866686539232738196871234509439, 80640, 26976022002804168079920, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 351336917838722973741600, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419890
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 223681183845188573699974859434123414256519, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 295241039866686512284636212755915390666, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419891
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.4._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419892
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 10628652119101336968945826904512973382960, 295241039866686512284636212755915390666, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419893
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 295241039866686512284636212755915390666, 9146650338351416191655337984144, 295241039866686539232738196871234509439, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419894
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 240, 93405312004, 10628652119101336968945826904512973382960, 295241039866686512284636212755915390666, 9146650338351416191655337984144, 295241039866686539232738196871234509439, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419895
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 51704033477944353408003, 295241039866686539232738196871234509439, 80640, 26976022002804168079920, 376703623296244, 93405312004, 223681175622349904010841876732480368404998, 79879200, 159851457248487423652780090379897717335675, 351336917838722973741600, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419896
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 74455662709968633849734276454457499456904, 223681183836346796195025114169522831165294, 51708899281960706733363, 51704033477944353408003, 295241039866686539232738196871234509439, 80640, 26976022002804168079920, 376703623296244, 93405312004, 79879200, 351336917838722973741600, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419897
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 295241039866686539232741597568879881149, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419898
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 8240827066510014057161174814805704, 74455662709968633849734276454457499456904, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419899
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 74455662709968633849734276454457499456904, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 295232799039620029244287529313208147442, 93405312004, 295241039866686539232741597568879881149, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419900
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 271463567316767229310594753548331683, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 74455662709968633849734276454457499456904, 51708899281960706733363, 51704033477944353408003, 80640, 376703623296244, 295232799039620029244287529313208147442, 17988427843301161121503736908825, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 240, 243, 6518881756620408281162514089535147123, 10628652119101336968945826904512973382960, 806582922253211445524582404], 'label': '11019960576.bb.8._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419901
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003, 27011615799521420732034, 8240827066861350974999897788421304], 'label': '11019960576.bb.8._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419902
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 223681183845188573699974859434123414256519, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419903
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 295241021878258668983475091252178481843, 27011615799521420732034, 8240827066861350974999897788421304], 'label': '11019960576.bb.8._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419904
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 295232799039620002270579051581100710962, 295241021878258668983475091252178481843, 27011615799521420732034], 'label': '11019960576.bb.8._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419905
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003, 295232799039620002270579051581100710962, 27011615799521420732034], 'label': '11019960576.bb.8._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419906
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.12._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419907
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 243, 295241039866686187923741088212045790202, 138276409308149846733575561562414632301603, 376037018367283041166533, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 324356034568044036141504, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.12._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419908
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879107, 271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686187923740711601784305962, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 223681183845188573699974859434123414256519, 376037018367283041166533, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686163195719829588236888266, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.12._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419909
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879107, 74455654495971741665551282307615854441200, 295241039866686163195719829588157054762, 271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 79833840, 9147069141022586128370311296147, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 74455662718810411354684021719070536589681, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 351334606581815205933600, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.12._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419910
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 295241039866686187923740376837109809962, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 43626240, 79833840, 6790363012042583355328143347533917364, 74455654495971741665551282307615854441200, 159851457248487423652780090379897717335675, 295241039866686163195719829588157054762, 376703623296244, 51704033477944353408003, 351336917838722973741600], 'label': '11019960576.bb.12._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419911
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [351309002356175672206773, 3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 351332052034706620461600, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 43591104, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.12._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419912
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [295241039866686187923740376837109764602, 79879104, 3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 79833840, 6790363012042583355328143347533917364, 74455662718810411354684021719070536589681, 295241039866686163195719829588157054762, 376703623296244, 51704033477944353408003, 351336917838722973741600], 'label': '11019960576.bb.12._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419913
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 74455662718810411354684021719070536589681, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419914
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 265922519368198165223211902331029514337798, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 223681183836346796195025114169522831165294, 17988427843301161121503736908825], 'label': '11019960576.bb.12._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419915
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 32212663695025207370791392823317474358917, 17988427843301161121503736908825, 93405312004, 138280195106855557007089495861173153299763, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.12._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419916
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 295241039866686539232741597568879881149, 138280195106855557007089495861173153299763, 301759921623306893566995969495966719402, 138279940116439424564917199653023401763987, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.12._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419917
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419921
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419922
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419923
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 6790363012042583355328143347533917364, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419924
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 74455654495971741665551282307615854441200, 159851457248487423652780090379897717335675, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419925
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.16._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419926
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 8222838670040441985057831172064612, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419927
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8222838669689132982701655499938481], 'label': '11019960576.bb.16._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419928
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 295232817028016498790757675181609916843, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419929
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.16._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419930
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 295232817028016498790757675181609916843, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419931
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 159851457248487423652780090379897717335675, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419932
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [159851457248488230235720525575631346505451, 271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419933
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 159851465453337665498611668711694242305971, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419934
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 159851465453338472081552103865582291825795, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419935
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 159851465471326062319492743129367977397194, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.4._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419936
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419937
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 8240827066861323059517350486931837, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419938
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.16._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419939
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419940
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419941
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 295232799039619677909683215662295049666, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419942
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 159851465471326062319492743129367977397194, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419943
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 159851465471326868902433178325101606692970, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419944
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419945
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 159851457230499802392419364454127609596674, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419946
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.2._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419947
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 223681183845188573699974859434123414256519, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 159851465471326062319492743129367977397194, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419948
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419949
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.16._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419950
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419951
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419952
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 17988428194610163477679409034956, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419953
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 295241021878258695931580476065142972324, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419954
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295232799039619677909683215662295049666, 79879200, 295241039866686163195719829588157135402, 17988428194610163477679409034956, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419955
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295232799039619677909683215662295049666, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 295241021878258695931580476065142972324, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419956
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 8240827066861323059517350486931837, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419957
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 8240827066861323059517350486931837, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419958
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 74455662718810411354684021719070536589681, 159851465471326062319492743129367977397194, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419959
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295232799039620029218684436394065201445, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419960
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295232799039620029218684436394065201445, 6790363012042583355328143347533917364, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419961
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 8240827066861323059517350486931837, 93405312004, 79879200, 295241039866686163195719829588157135402, 17988428194610163477679409034956, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419962
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 8240827066861323059517350486931837, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 295241021878258695931580476065142972324, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419963
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295232799039620029218684436394065201445, 93405312004, 79879200, 295241039866686163195719829588157135402, 17988428194610163477679409034956, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419964
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295232799039620029218684436394065201445, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 295241021878258695931580476065142972324, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419965
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295232799039620029218684436394065201445, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674], 'label': '11019960576.bb.16._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419966
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 159851465453337665498611668711694242305971, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419967
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 351309002356175672126133, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419968
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419969
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 159851465471326062319492743129367977397194, 159851457248487423652780090379897717335675, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419970
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419971
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419972
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.16._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419973
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.16._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419974
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 223681183845188573699974859434123414256519, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419975
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 223681183845188573699974859434123414256519, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419976
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 295241039866686187923740376837109729322, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419977
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 295241039866686187923740376837109729322, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419978
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 223681175622349904010841876732480368404998, 79879200, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419979
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 223681175622349904010841876732480368404998, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419980
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 223681183836346796195025114169522831165294, 17988427843301161121503736908825], 'label': '11019960576.bb.4._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419981
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 223681175622349904010841876732480368404998, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419982
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [74455654495971741665551282307615854441200, 271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419983
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 6790363012042583355328143347533917364, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419984
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 295241039866686539232738196871234509439, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322], 'label': '11019960576.bb.16._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419985
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 223681183845188573699974859434123414256519, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419986
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 223681175613508157528312218129839299272175, 79879200, 351309002356175672126133, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419987
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 159851465471326062319492743129367977397194, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419988
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 159851465471326062319492743129367977397194, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419989
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 223681183836346796195025114169522831165294, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419990
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.16._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419991
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 223681183836346796195025114169522831165294, 8222838669689132982701655499938481], 'label': '11019960576.bb.4._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419992
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 295241039866686539232738196871234509439, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.16._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419993
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 223681175613508157528312218129839299272175, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419994
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 223681175613508157528312218129839299272175, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419995
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 351336917838722973741600, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419996
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351336917838722973741600, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419997
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419998
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125419999
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322], 'label': '11019960576.bb.16._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420000
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 295241039866686539232738196871234509439, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322], 'label': '11019960576.bb.16._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420001
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 74455662709968633849734276454457499456904, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420002
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 74455662718810411354684021719070536589681, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.4._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420003
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 74455662709968633849734276454457499456904, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420004
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 295241039866686187923740376837109729322, 74455662709968633849734276454457499456904, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420006
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 74455662718810411354684021719070536589681, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420007
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 74455662718810411354684021719070536589681, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420008
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351336917838722973741600, 138276409308149846733575561562414632301603, 74455654487129995183021623704987239350025, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420009
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420010
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 295241021878258344622579255333372820547, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420011
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 295232799039619677909683215662295049666, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420012
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295232799039619677909683215662295049666, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 295241021878258344622579255333372820547, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420013
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 376703623296244, 51704033477944353408003, 74455654487129995183021623704987239350025, 351336917838722973741600, 295241039866686187923740376837109729322, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.4._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420014
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 74455654487129995183021623704987239350025, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420015
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 74455654487129995183021623704987239350025, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420016
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.16._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420017
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.16._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420018
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 159851457248487423652780090379897717335675, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420019
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 159851457248487423652780090379897717335675, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420020
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 159851457248487423652780090379897717335675, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420021
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 159851457248487423652780090379897717335675, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420022
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 8240827066861323059517350486931837, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420023
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 8240827066861323059517350486931837, 295241021878258319894558708084420226627, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420024
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.4._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420025
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039620029218681035696419703735, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420026
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 295232799039620029218681035696419703735, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420027
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 159851457248487423652780090379897717335675, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420028
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 159851457248487423652780090379897717335675, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420029
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420030
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 295241039866686539232738196871234509439, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420031
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420032
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241021878258695956940278795922421923, 79879200, 351309002356175672126133, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420033
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039620029244287529313208147442, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420034
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295232799039620029244287529313208147442, 93405312004, 295241021878258695956940278795922421923, 79879200, 351309002356175672126133, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420035
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 8222838669689132982701655499938481], 'label': '11019960576.bb.4._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420036
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 27011615799521420732034, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420037
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 27011615799521420732034, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420038
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039620029244287529313208147442, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 27011615799521420732034, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420039
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295232799039620029244287529313208147442, 93405312004, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 27011615799521420732034, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420040
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420041
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 295241021878258668983475091252178481843], 'label': '11019960576.bb.16._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420042
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039619653181662668413342329746, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420043
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039619653181662668413342329746, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 295241021878258668983475091252178481843], 'label': '11019960576.bb.16._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420044
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003, 27011615799521420732034, 8240827066861350974999897788421304], 'label': '11019960576.bb.16._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420045
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 295241021878258668983475091252178481843, 27011615799521420732034, 8240827066861350974999897788421304], 'label': '11019960576.bb.16._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420046
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 74455662718810411354684021719070536589681, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420047
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003, 295232799039620002270579051581100710962, 27011615799521420732034], 'label': '11019960576.bb.16._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420048
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 295232799039620002270579051581100710962, 295241021878258668983475091252178481843, 27011615799521420732034], 'label': '11019960576.bb.16._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420049
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 159851457248487423652780090379897717335675, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420050
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295232799039619677909683215662295049666, 79879200, 295241039866686163195719829588157135402, 159851457248487423652780090379897717335675, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420051
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [159851457248488230235720525575631346505451, 271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420052
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [159851457248488230235720525575631346505451, 271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295232799039619677909683215662295049666, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420053
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 8240827066861323059517350486931837, 93405312004, 79879200, 295241039866686163195719829588157135402, 159851457248487423652780090379897717335675, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420054
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295232799039620029218684436394065201445, 93405312004, 79879200, 295241039866686163195719829588157135402, 159851457248487423652780090379897717335675, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420055
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [159851457248488230235720525575631346505451, 271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 8240827066861323059517350486931837, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420056
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [159851457248488230235720525575631346505451, 271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295232799039620029218684436394065201445, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420057
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 74455662718810411354684021719070536589681, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.2._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420058
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 376703623296244, 51704033477944353408003, 74455654487129995183021623704987239350025, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420059
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 159851465471326062319492743129367977397194, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420060
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 159851465471326062319492743129367977397194, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420061
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 159851465471326062319492743129367977397194, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 17988428194610163477679409034956, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420062
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 159851465471326062319492743129367977397194, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 295241021878258695931580476065142972324, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420063
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 159851465471326868902433178325101606692970, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420064
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 159851465471326868902433178325101606692970, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420065
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 159851465471326868902433178325101606692970, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 17988428194610163477679409034956, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420066
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 159851465471326868902433178325101606692970, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 295241021878258695931580476065142972324, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420067
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 159851465471326062319492743129367977397194, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 159851457248487423652780090379897717335675, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420068
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 159556487571438361343543752244972265784198, 93405312004, 240, 6790363012042583355328143347533917364, 159851465471326062319492743129367977397194, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420069
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 351309002356175672126133, 240, 93405312004, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.4._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420070
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [159851457248488230235720525575631346505451, 271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 159851465471326062319492743129367977397194, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420071
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 159851465471326062319492743129367977397194, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 159556487571438749123805339190652161796854, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420072
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 159851465471326868902433178325101606692970, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 159851457248487423652780090379897717335675, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420073
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 159556487571438361343543752244972265784198, 93405312004, 240, 6790363012042583355328143347533917364, 159851465471326868902433178325101606692970, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420074
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [159851457248488230235720525575631346505451, 271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 159851465471326868902433178325101606692970, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420075
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 159851465471326868902433178325101606692970, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 159556487571438749123805339190652161796854, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420076
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420077
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420078
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 17988428194610163477679409034956, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420079
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 295241021878258695931580476065142972324, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420080
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 351309002356175672126133, 93405312004, 240, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 8222838669689132982701655499938481], 'label': '11019960576.bb.4._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420081
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420082
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674], 'label': '11019960576.bb.16._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420083
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 17988428194610163477679409034956, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674], 'label': '11019960576.bb.16._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420084
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 295241021878258695931580476065142972324, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674], 'label': '11019960576.bb.16._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420085
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8222838669689132982701655499938481], 'label': '11019960576.bb.16._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420086
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232817028016498790757675181609916843, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420087
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 8222838670040441985057831172064612, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420088
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 295232817028016850099758895913380068668, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420089
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 8222838669689132982701655499938481], 'label': '11019960576.bb.16._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420090
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232817028016498790757675181609916843, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674], 'label': '11019960576.bb.16._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420091
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 223681183845188573699974859434123414256519, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 351309002356175672126133, 93405312004, 240, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420092
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 8222838670040441985057831172064612, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674], 'label': '11019960576.bb.16._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420093
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 295232817028016850099758895913380068668, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674], 'label': '11019960576.bb.16._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420094
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.16._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420095
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420096
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 8240827066861323059517350486931837, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420097
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295232799039620029218684436394065201445, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420098
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 8240827066510014057161174814805704], 'label': '11019960576.bb.16._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420099
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674], 'label': '11019960576.bb.16._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420100
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 8240827066861323059517350486931837, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674], 'label': '11019960576.bb.16._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420101
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 159851465453337665498611668711694242305971, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420102
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 223681175613508157528312218129839299272175, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 351309002356175672126133, 93405312004, 240, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420103
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619704921294479042052188036, 376703623296244, 51704033477944353408003, 295241021878258668983475091252178481843], 'label': '11019960576.bb.16._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420113
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.4._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420114
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.16._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420115
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 8240827066861323059517350486931837, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420116
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420117
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039619653181662668413342329746, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420118
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066861350974999897788421304, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420119
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 8240827066861350974999897788421304, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420120
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 8240827066861350974999897788421304, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420121
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 295241021878258668983475091252178481843, 8240827066861350974999897788421304], 'label': '11019960576.bb.16._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420122
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 27011615799521420732034, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420123
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241021878258319894558708084420226627, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 27011615799521420732034], 'label': '11019960576.bb.16._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420124
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.4._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420125
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 27011615799521420732034], 'label': '11019960576.bb.16._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420126
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 295241021878258668983475091252178481843, 27011615799521420732034], 'label': '11019960576.bb.16._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420135
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420136
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 8240827066861350974999897788421304, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 295241021878258344622579255333372820547, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420137
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 8240827066861350974999897788421304, 295241021878258695956940278795922421923, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420138
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 295232799039619677909683215662295049666, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420139
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295232799039619677909683215662295049666, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420140
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295232799039619677909683215662295049666, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 295241021878258344622579255333372820547, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420141
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295232799039619677909683215662295049666, 295241021878258695956940278795922421923, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420142
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295232799039620029244287529313208147442, 17988427843301161121503736908825, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420143
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295232799039620029244287529313208147442, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420144
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295232799039620029244287529313208147442, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 295241021878258344622579255333372820547, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420145
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295232799039620029244287529313208147442, 93405312004, 295241021878258695956940278795922421923, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420146
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420147
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 27011615799521420732034, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420148
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 138276409308149846733575561562414632301603, 27011615799521420732034, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420157
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 351309002356175672126133, 240, 93405312004, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420158
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 295241039866686512284636212755915390666, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 27011615799521420732034], 'label': '11019960576.bb.16._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420159
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295232799039619677909683215662295049666, 295241021878258695956940278795922421923, 79879200, 138276409308149846733575561562414632301603, 27011615799521420732034, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420160
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039620029244287529313208147442, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 376703623296244, 51704033477944353408003, 27011615799521420732034, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420161
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295232799039620029244287529313208147442, 93405312004, 79879200, 138276409308149846733575561562414632301603, 27011615799521420732034, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420162
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039620029244287529313208147442, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 27011615799521420732034], 'label': '11019960576.bb.16._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420163
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295232799039620029244287529313208147442, 93405312004, 295241021878258695956940278795922421923, 79879200, 138276409308149846733575561562414632301603, 27011615799521420732034, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420164
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420165
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420166
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420167
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241021878258695954626753817458332323, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420168
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.2._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420169
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 223681175622349904010841876732480368404998, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 351309002356175672126133, 93405312004, 240, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420170
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 8240827066861350974999897788421304, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420180
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 351309002356175672126133, 93405312004, 240, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.4._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420181
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 295232799039620029241730714133926393842, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420182
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241021878258695954626753817458332323, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 295232799039620029241730714133926393842, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420183
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420184
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420185
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420186
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241021878258695954626753817458332323, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420187
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 8240827066861350974999897788421304, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420188
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 8240827066861350974999897788421304, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420189
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 8240827066861350974999897788421304, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420190
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241021878258695954626753817458332323, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 8240827066861350974999897788421304, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420191
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.4._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420192
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039619653181662668413342329746, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686539232738196871234509439, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420193
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 295232799039619653181662668413342329746, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420194
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 295232799039619653181662668413342329746, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420195
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241021878258695954626753817458332323, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 295232799039619653181662668413342329746, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420196
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 295232799039620029241730714133926393842, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686539232738196871234509439, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420197
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 295232799039620029241730714133926393842, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420198
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 295232799039620029241730714133926393842, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420199
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241021878258695954626753817458332323, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 295232799039620029241730714133926393842, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420200
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 351028012332649379358328808398931139154557, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.16._.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420201
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 223681183845188573699974859434123414256519, 295241039866686163228767016036089770185, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295232799039620029244287529313208147442, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420202
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 17988428194610163477679409034956, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420203
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 223681183845188573699974859434123414256519, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 376062624860912327116944, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420204
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 376062624860912327116944, 79879200, 351309002356175672126133, 244347208324186803149127782024070751779719, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420205
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 244052510018501498104064955976338564178557, 51704033477944353408003, 8240827066861350974999897788421304], 'label': '11019960576.bb.16._.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420206
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 223385687915617715307772892796639236280957, 376703623296244, 51704033477944353408003, 8240827066861350974999897788421304], 'label': '11019960576.bb.16._.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420207
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 223681183845188573699974859434123414256519, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420209
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 74455662718810411354684021719070536589681, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420210
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039620029244287529313208147442, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 74163681115231359737023838281477689609720, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 27011615799521420732034], 'label': '11019960576.bb.16._.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420211
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 74456189071439005312792882964990353947122, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 27011615799521420732034, 8240827066861350974999897788421304], 'label': '11019960576.bb.16._.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420212
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 74455662718810411354684021719070536589681, 376703623296244, 51704033477944353408003, 295241039866686214935351640216866867692, 8240827066861350974999897788421304], 'label': '11019960576.bb.16._.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420213
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 8240827066861323059517350486931837, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.4._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420214
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 8240827066861323059517350486931837, 17988427843301161121503736908825, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420215
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 8240827066861323059517350486931837, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 295241021878258344622579255333372820547, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420216
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 159851457248487423652780090379897717335675, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420217
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295232799039619677909683215662295049666, 79879200, 295241039866686163195719829588157135402, 159851457248487423652780090379897717335675, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420218
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 295232817028016498790757675181609916843, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420219
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420220
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.16._.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420221
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 295232817028016474062737127932657196923, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420222
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 8240827066861323059517350486931837, 93405312004, 79879200, 159851457248487423652780090379897717335675, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420223
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 295232799039620029218681035696419703735, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 159851457248487423652780090379897717335675, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420224
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 17988428194610163477679409034956, 8240827066861323059517350486931837, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420225
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 8240827066861323059517350486931837, 93405312004, 79879200, 17988428194610163477679409034956, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420226
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420227
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 351028004109810709669196068987488910921676, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420228
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 351028004109810709669196068987488910921676, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 295241021878258695956940278795922421923, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420229
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 223681175622349904010841876732480368404998, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420230
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 223681175622349904010841876732480368404998, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 295241021878258668983475091252178481843], 'label': '11019960576.bb.16._.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420231
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 351028012332649379358328808398931139154557, 351028004109810709669196068987488910921676, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.KX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420232
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 223681183845188573699974859434123414256519, 295241039866686163228767016036089770185, 9147069141022586128370311296147, 80640, 361656656137960255433207429703467137763276, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.KY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420233
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 223681183845188573699974859434123414256519, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 244347216547025472838260521435525433928198, 295241039866686539232738196871234509439, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.KZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420234
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 223681175622349904010841876732480368404998, 79879200, 351309002356175672126133, 244347208324186803149127782024070751779719, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.LA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420235
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 240, 93405312004, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.4._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420236
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 6790363012042583355328143347533917364, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.LB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420237
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [74455654495971741665551282307615854441200, 271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.LC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420238
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 74456180848600335623660143553535671798643, 6790363012042583355328143347533917364, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003, 27011615799521420732034], 'label': '11019960576.bb.16._.LD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420239
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 74456180848600335623660143553535671798643, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 295241021878258668983475091252178481843, 27011615799521420732034], 'label': '11019960576.bb.16._.LE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420240
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [74455654495971741665551282307615854441200, 271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 74455662718810411354684021719070536589681, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.LF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420241
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 74163681115231359737023838281477689609720, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 74456180848600335623660143553535671798643, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 27011615799521420732034], 'label': '11019960576.bb.16._.LG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420242
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 74455662718810411354684021719070536589681, 376062624860912327116944, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 27011615799521420732034], 'label': '11019960576.bb.16._.LH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420243
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 74456189071439005312792882964990353947122, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 27011615799521420732034], 'label': '11019960576.bb.16._.LI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420244
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 74160421696626861425690329110378415100283, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 27011615799521420732034], 'label': '11019960576.bb.16._.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420245
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 74160948032181708009111164344478642697720, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 27011615799521420732034], 'label': '11019960576.bb.16._.LK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420246
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 240, 93405312004, 17988428194610163477679409034956, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420247
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 74456189071439005312792882964990353947122, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 74456180848600335623660143553535671798643, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 27011615799521420732034], 'label': '11019960576.bb.16._.LL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420248
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 74455662718810411354684021719070536589681, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 295241039866686214935351640216866867692], 'label': '11019960576.bb.16._.LM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420249
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.LN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420250
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.LO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420252
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 159851465471326062319492743129367977397194, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 295241021878258344622579255333372820547, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.LQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420253
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.LR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420254
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 8240827066861323059517350486931837, 93405312004, 79879200, 17988428194610163477679409034956, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.LS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420255
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 8240827066861323059517350486931837, 93405312004, 79879200, 295241039866686163195719829588157135402, 17988428194610163477679409034956, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.LT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420256
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 8240827066861323059517350486931837, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 295241021878258695931580476065142972324, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.LU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420257
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 240, 93405312004, 8240827066861323059517350486931837, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.4._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420258
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 159851465471326868902433178325101606692970, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.LV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420259
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 159851465471326868902433178325101606692970, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.LW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420260
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 8240827066861323059517350486931837, 93405312004, 79879200, 17988428194610163477679409034956, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.LX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420261
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 295232799039620029218681035696419703735, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 17988428194610163477679409034956, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.LY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420262
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 17988428194610163477679409034956, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.LZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420263
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.MA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420264
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 159851465471326062319492743129367977397194, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 159851457248487423652780090379897717335675, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.MB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420265
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 159556487571438361343543752244972265784198, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 159851465471326062319492743129367977397194, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.MC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420268
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 240, 93405312004, 17988428194610163477679409034956, 8240827066861323059517350486931837, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.4._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420269
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039619653181662668413342329746, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.MF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420270
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 295241039866686187923740376837109729322, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 17988428194610163477679409034956, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.MG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420271
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 159851465471326868902433178325101606692970, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 159851457248487423652780090379897717335675, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.MH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420272
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 159851465471326868902433178325101606692970, 159556487571443394553761663131648799221638, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.MI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420273
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 17988428194610163477679409034956, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.MJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420274
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295232799039619677909683215662295049666, 79879200, 295241039866686163195719829588157135402, 17988428194610163477679409034956, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.MK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420275
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 351028012341491125840858467001572208287332, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.ML', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ML', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ML', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420276
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 295241021878258695956940278795922421923, 6790363012042583355328143347533917364, 351028012341491125840858467001572208287332, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.MM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420277
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.16._.MN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420278
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 295241021878258668983475091252178481843, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.16._.MO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420279
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 74455662718810411354684021719070536589681, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.2._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420280
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 223681183836346796195025114169522831165294, 17988427843301161121503736908825], 'label': '11019960576.bb.4._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420281
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 351028012341491125840858467001572208287332, 376703623296244, 51704033477944353408003, 8222838669689132982701655499938481], 'label': '11019960576.bb.16._.MP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420282
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 351028012341491125840858467001572208287332, 376703623296244, 295232817028016850125361988844977056267, 51704033477944353408003], 'label': '11019960576.bb.16._.MQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420283
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 8222838670040469900540378473554081, 376703623296244, 51704033477944353408003, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.16._.MR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420284
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 295232817028016823151653511100415578187, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.16._.MS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420285
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.MT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420286
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.MU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420287
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066861350974999897788421304, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.MV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420288
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.MW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420289
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.MX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420290
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 351336917838722973741600], 'label': '11019960576.bb.16._.MY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420291
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.4._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420292
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.MZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420293
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241021878258319894558708084420226627, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.NA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420294
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 17988428194610163477679409034956, 376703623296244, 51704033477944353408003, 351336917838722973741600], 'label': '11019960576.bb.16._.NB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420295
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 8240827066861350974999897788421304, 79879200, 351309002356175672126133, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.NC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420297
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 17988428194610163477679409034956, 295241039866686512284636212755915390666, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322], 'label': '11019960576.bb.16._.NE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420298
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.NF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420299
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 8240827066861350974999897788421304, 295241021878258695956940278795922421923, 79879200, 351309002356175672126133, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.NG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420300
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295232799039620029244287529313208147442, 93405312004, 79879200, 351309002356175672126133, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.NH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420301
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.NI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420302
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 295232799039619677909683215662295049666, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.4._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420303
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 17988428194610163477679409034956, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 351336917838722973741600], 'label': '11019960576.bb.16._.NJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420304
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 27011615799521420732034, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.NK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420305
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 27011615799521420732034, 8240827066861350974999897788421304, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.NL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420306
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 17988428194610163477679409034956, 295241039866686512284636212755915390666, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 295241039866686187923740376837109729322], 'label': '11019960576.bb.16._.NM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420307
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.NN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420308
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 376062624860912327116944, 79879200, 351309002356175672126133, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.NO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420309
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 295241021878258668983475091252178481843], 'label': '11019960576.bb.16._.NP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420310
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241021878258371600903442762177557267, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 376062624860912327116944, 79879200, 351309002356175672126133, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.NQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420313
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 295232799039619677909683215662295049666, 376703623296244, 51704033477944353408003, 223681183836346796195025114169522831165294, 17988427843301161121503736908825], 'label': '11019960576.bb.4._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420314
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 295241021878258668983475091252178481843, 27011615799521420732034], 'label': '11019960576.bb.16._.NT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420315
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 295241021878258371600903442762177557267, 27011615799521420732034], 'label': '11019960576.bb.16._.NU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420316
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 295241039866686214935351640216866867692, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.NV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420317
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003, 295241039866686214935351640216866867692], 'label': '11019960576.bb.16._.NW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420318
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 295241039866686214935351640216866867692, 295241021878258668983475091252178481843], 'label': '11019960576.bb.16._.NX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420319
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 295241039866686214935351640216866867692, 295241021878258371600903442762177557267], 'label': '11019960576.bb.16._.NY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420320
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 295241039866686487531015976009005446479, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.NZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420321
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 295241039866686487531015976009005446479, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.OA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420322
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 295241039866686487531015976009005446479, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 295241021878258668983475091252178481843], 'label': '11019960576.bb.16._.OB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420323
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 295241039866686487531015976009005446479, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 295241021878258371600903442762177557267], 'label': '11019960576.bb.16._.OC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420324
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.4._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420325
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 8240827066861350974999897788421304, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 27011615799521420732034, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.OD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420326
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 27011615799521420732034, 8240827066861350974999897788421304], 'label': '11019960576.bb.16._.OE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420328
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 240, 243, 295232817028016498790757675181609916843, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.OG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420329
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 8240827066861350974999897788421304, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 27011615799521420732034, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.OH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420330
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295232799039620029244287529313208147442, 93405312004, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 27011615799521420732034, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.OI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420331
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 8222838670040441985057831172064612, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.OJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420332
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 295232817028016850099755495215734570958, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.OK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420333
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 376062624860912327116944, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.OL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420334
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 376062624860912327116944, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.OM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420335
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.4._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420336
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 8240827066861350974999897788421304, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.ON', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ON', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ON', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420337
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 8240827066861350974999897788421304, 376062624860912327116944, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.OO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420338
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 74455662709968633849734276454457499456904, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.OP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420339
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 74455662709968633849734276454457499456904, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.OQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420340
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 6790363012042583355328143347533917364, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003, 27011615799521420732034], 'label': '11019960576.bb.16._.OR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420341
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 295241021878258668983475091252178481843, 27011615799521420732034], 'label': '11019960576.bb.16._.OS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420342
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 74455662709968633849734276454457499456904, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.16._.OT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420343
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 74455662709968633849734276454457499456904, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 295232817028016850125361988844977056267, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.OU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420344
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 74455662709968633849734276454457499456904, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 376062624860912327116944, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 295241039866686214935351640216866867692, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.16._.OV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420345
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 74455662709968633849734276454457499456904, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 8222838670040469900540378473554081, 93405312004, 376062624860912327116944, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 295241039866686214935351640216866867692, 806582922253211445524582404], 'label': '11019960576.bb.16._.OW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420346
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 295232799039619677909683215662295049666, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.4._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420347
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 74455662709968633849734276454457499456904, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295232817028016525769325152811232317563, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 376062624860912327116944, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 295241039866686214935351640216866867692, 806582922253211445524582404], 'label': '11019960576.bb.16._.OX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420348
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [295232817028016823151653511100415578187, 271353675587871455539490683625517360, 74455662709968633849734276454457499456904, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 376062624860912327116944, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 295241039866686214935351640216866867692, 806582922253211445524582404], 'label': '11019960576.bb.16._.OY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420349
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 27011615799521420732034, 8222838669689132982701655499938481], 'label': '11019960576.bb.16._.OZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420350
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 295232817028016474062737127932657196923, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 27011615799521420732034], 'label': '11019960576.bb.16._.PA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420351
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 351028012341491125840858467001572208287332, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.16._.PB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420352
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039620029244287529313208147442, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 351028012341491125840858467001572208287332, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.PC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420353
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 295241039866686487531015976009005446479, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.16._.PD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420354
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 295241039866686487531015976009005446479, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 223681183836346796195025114169522831165294, 8240827066861350974999897788421304], 'label': '11019960576.bb.16._.PE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420355
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 295241039866686487531015976009005446479, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 295232799039619704888250693291917450386, 240, 93405312004, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.16._.PF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420356
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 295241039866686487531015976009005446479, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 295232799039620002270579051581100710962, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.16._.PG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420357
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 295232799039619677909683215662295049666, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.4._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420358
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.16._.PH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420359
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039619653181662668413342329746, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.16._.PI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420360
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 27011615799521420732034, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.PJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420361
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 376062624860912327116944, 79879200, 138276409308149846733575561562414632301603, 27011615799521420732034, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.PK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420362
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.PL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420363
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295232799039619677909683215662295049666, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.PM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420364
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 27011615799521420732034, 8240827066861350974999897788421304, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.PN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420365
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003, 27011615799521420732034, 8240827066861350974999897788421304], 'label': '11019960576.bb.16._.PO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420366
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 8240827066861323059517350486931837, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.PP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420367
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039620029218681035696419703735, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.PQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420368
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.4._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420369
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 295241039866686214935351640216866867692, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.PR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420373
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 74455662709968633849734276454457499456904, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.PV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420374
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 74455662709968633849734276454457499456904, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295232799039620029244287529313208147442, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.PW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420375
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 27011615799521420732034, 8240827066861350974999897788421304], 'label': '11019960576.bb.16._.PX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420376
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 295232799039620002270579051581100710962, 27011615799521420732034], 'label': '11019960576.bb.16._.PY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420377
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.PZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420378
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.QA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420379
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.4._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420380
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.16._.QB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420381
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.QC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420382
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066861350974999897788421304, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.QD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420383
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 8240827066861350974999897788421304, 79879200, 295241039866686163195719829588157135402, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.QE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420384
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066861350974999897788421304], 'label': '11019960576.bb.16._.QF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420385
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 8240827066861350974999897788421304, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.QG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420386
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.QH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420387
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295232799039619677909683215662295049666, 79879200, 295241039866686163195719829588157135402, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.QI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420388
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.QJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420389
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295232799039619677909683215662295049666, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.QK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420390
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 223681183836346796195025114169522831165294, 17988427843301161121503736908825], 'label': '11019960576.bb.2._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420391
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 295232799039619677909683215662295049666, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.4._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420392
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039620029244287529313208147442, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.QL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420393
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 17988428194638078960226710650425, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295232799039620029244287529313208147442, 93405312004, 79879200, 295241039866686163195719829588157135402, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.QM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420394
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039620029244287529313208147442, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.QN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420395
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295232799039620029244287529313208147442, 93405312004, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.16._.QO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420396
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 8240827066861323059517350486931837, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.QP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420397
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 8240827066861323059517350486931837, 295241021878258319894558708084420226627, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.QQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420398
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 8240827066861323059517350486931837, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.QR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420399
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 8240827066861323059517350486931837, 376703623296244, 51704033477944353408003, 295241021878258668983475091252178481843], 'label': '11019960576.bb.16._.QS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420400
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039620029218681035696419703735, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.QT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420401
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039620029218681035696419703735, 295241021878258319894558708084420226627, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.QU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420402
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 295232799039619677909683215662295049666, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.4._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420403
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039620029218681035696419703735, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.QV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420404
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039620029218681035696419703735, 376703623296244, 51704033477944353408003, 295241021878258668983475091252178481843], 'label': '11019960576.bb.16._.QW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420405
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 8240827066537025672960696235411690, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.QX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420406
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 8240827066537025672960696235411690, 295241021878258319894558708084420226627, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.QY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420407
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 8240827066537025672960696235411690, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.QZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420408
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 8240827066537025672960696235411690, 376703623296244, 51704033477944353408003, 295241021878258668983475091252178481843], 'label': '11019960576.bb.16._.RA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420409
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619704921294479042052188036, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.RB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420410
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619704921294479042052188036, 295241021878258319894558708084420226627, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.RC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420411
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619704921294479042052188036, 17988428194638078960226710650425, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.16._.RD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420412
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 295241039866686487531015976009005446479, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376062624860912327116944, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.16._.RE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420413
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 295241039866686539232741597568879881149, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.4._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420414
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 271353675587871455539490683625517360, 51708899281960706733363, 295241039866686163195719829588157135402, 138276409308149846328168935429900584789827, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 138274491117887479140734613498882000261123, 10628652119101336968945826904512973382960, 371986544667411756206287670966191803539278, 299026948473320919644343276238273412669, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.18._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420415
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 138276409308149846733575561562414632301603, 295241039866686187923740377011546180602, 376037018367283041166533, 271353675587871455539490683625517360, 51708899281960706733363, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 6790363012042583355328143347533917364, 9146650338351416191655337984144, 295241039866686163195719829588157135545, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 223681183836346796195025114169522831165294, 324356034568044036141363, 17988427843301161121503736908825], 'label': '11019960576.bb.18._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420416
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 138276409308149846733575561562414632301603, 74455654495971741665551282307615854441203, 295241039866686163195719829588157054666, 271353675587871455539490683625517360, 351332052034706620461600, 351309002356175672126037, 51708899281960706733363, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 6790363012042583355328143347533917364, 10628652119101336968945826904512973382960, 223680912491817858661923545040992911165294, 74455662718810411354684021719070536589681, 9146650338351416191655337984144, 43591204, 43626483, 376703623296244, 51704033477944353408003, 295241039866686187923740711601747937322], 'label': '11019960576.bb.18._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420417
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [79879200, 80640, 243, 271353675587871455539490683625517360, 51708899281960706733363, 295241039866686163195719829588157135402, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 308166053150609339434902234785554291325043, 127579834303641414366767803894564, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 271591147150989774286753760601139798, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 295241039866686187923740376837109729322, 3259546181009898744684241048131377424, 17988427843301161121503736908825], 'label': '11019960576.bb.18._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420418
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [295241039866686163195719829588157135305, 3259546181009763593648452334612155680, 80640, 295241039866686187923741088386322503722, 138276409308149846733575561562414632301603, 351336917838722973741363, 271353675587871455539490683625517360, 351309002356175672125893, 51708899281960706733363, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 43626240, 6790363012042583355328143347533917364, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 159851457230499414612150098860250910218850, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.18._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420419
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [295241039866686187923740376837109764602, 3259546181009763593648452334612155680, 376037018367283041085893, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 79879204, 271353675587871455539490683625517360, 51708899281960706733363, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 295241039866686163195719829588193342906, 6790363012042583355328143347533917364, 10628652119101336968945826904512973382960, 376064933849830342701360, 79833604, 74455662718810411354684021719070536589681, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.18._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420420
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 9146650338351416191655337984144, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 159851457230499802392401182511510728202850, 74455654495971741717255315785385807721200, 3785716289115616371721061641883764080, 376703623296244, 351309002356175672206533, 17988427843301161121503736908825, 93405312004, 147, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 351332052034706620461600, 43591204, 10628652119101336968945826904512973382960, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.18._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420421
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 138276409308149846733575561562414632301603, 74455654495971741665551282307615854441203, 159851457230498995809478929300239560202850, 79879204, 271353675587871455539490683625517360, 51708899281960706733363, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 79833840, 6790363012042583355328143347533917364, 10628652119101336968945826904512973382960, 74455662718810411354684021719070536589681, 9146650338351416191655337984144, 295241039866686163195719829588157054762, 376703623296244, 51704033477944353408003, 295241039866686187923740711601747937322, 351332052034706620461504], 'label': '11019960576.bb.18._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420422
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [79879200, 80640, 302286357923231658357799027477241287706, 243, 7045161123238525108384756309667739573, 138273964646229313993780633955781648264933, 271353675587871455539490683625517360, 51708899281960706733363, 295241039866686163195719829588157135402, 138273964646229313993745035624331208421173, 3785716289115616371721061641883764080, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.18._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420423
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [351336917838722973741507, 271353675587871455539490683625517360, 9146650338351416191655337984144, 74455662709968633901435999010084323136908, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 79833840, 295241039866686163195719829588157135545, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 295241039866686187923741088386358872362, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 10628652119101336968945826904512973382960, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.18._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420424
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 295241039866686539232741597568879881149, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.4._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420425
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [295241039866686163195719829588157054762, 271353675587871455539490683625517360, 9146650338351416191655337984144, 295241039866686187923741088212045835562, 8240827066510014057161174814805704, 43626483, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 223681183845188573699974859434123414256519, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 376064933849830342701360, 79833604, 376037018367283041085893, 138276409308149846733575561562414632301603, 74455662709968633876710294255884721984904, 10628652119101336968945826904512973382960, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.18._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420426
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [43590960, 351309002356175672206533, 3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 51708899281960706733363, 3785716289115616371721061641883764080, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 6790363012042583355328143347533917364, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 295241039866686187923740711601747937322, 223681183836346796195025114169522831165294, 295241039866686163195719829588157135546, 351332052034706620461504, 17988427843301161121503736908825], 'label': '11019960576.bb.18._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420427
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 51708899281960706733363, 526490602717090084376619504331278960, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 17988427843301161121503736908825, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 74455662718511798872631858908017687233548, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420430
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 223681183845188573699974859434123414256519, 376037018367283041166533, 9147069141022586128370311296147, 80640, 26976022714179104140800, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 376062622592922574893360, 138276409308149846733575561562414632301603, 240, 43626243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420431
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879104, 80640, 3259546181009763593648452334612155680, 138276409308149846733575561562414632301603, 376037018367283041166533, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 26976022379414429564160, 93405312004, 6790363012042583355328143347533917364, 74455662718810411354684021719070536589681, 79879107, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 351336917838722973741600], 'label': '11019960576.bb.24._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420432
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 351309002356175672171493, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 74455654495971741665551282307615854441203, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 147, 79879200, 138276409308149846733575561562414632301603, 351332052034706620461600, 80788, 6790363012042583355328143347533917364, 159851457248487423677508106391005086295675, 806582922253211445524582404], 'label': '11019960576.bb.24._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420433
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [351309002356175672206773, 3259546181009763593648452334612155680, 26976022002804168079920, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 351332052034706620461600, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 43591104, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420434
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 351309002356175672171493, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80880, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 74455662718810411354684021719070536589681, 79879200, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 243, 351334606581815205933600, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420435
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 295241039866686539232741597568879881149, 295232799039619677909683215662295049666, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.4._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420436
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686163228767016036089770185, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 295241039866686163195719829588157135402, 371986544667411756206287670966191803539278, 138276409308149846733575561562414632301603, 240, 243, 806582922253211445524582404], 'label': '11019960576.bb.24._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420437
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 32212663695025207370791392823317474358917, 17988427843301161121503736908825, 93405312004, 138280195106855557007089495861173153299763, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420438
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420439
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879107, 271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 79833840, 9147069141022586128370311296147, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686187923740376837109809962, 74455662718810411354684021719070536589681, 351309002356175672126133, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 351334606581815205933600, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420440
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [351309002356175672206773, 3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 351332052034706620461600, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 43591104, 6790363012042583355328143347533917364, 159851457248487423652780090379897717335675, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322], 'label': '11019960576.bb.24._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420441
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [295241039866686163195719829588157054762, 271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 79833840, 9147069141022586128370311296147, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686187923740376837109809962, 351309002356175672126133, 159851457248487423652780090379897717335675, 351336917838722973741600, 138276409308149846733575561562414632301603, 243, 43626240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420442
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 295241039866686163195719829588157135402, 351336917838722973741600, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420443
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686187923741088212045790202, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 376037018367283041166533, 9147069141022586128370311296147, 324356034568044036141504, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420444
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879107, 271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686187923741088212045790202, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 376037018367283041166533, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420445
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [74455654495971741665551282307615854441200, 295241039866686163195719829588157054762, 271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 79833840, 9147069141022586128370311296147, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686187923740376837109809962, 351309002356175672126133, 351336917838722973741600, 138276409308149846733575561562414632301603, 243, 43626240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420446
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 295241039866686539232741597568879881149, 295232799039619677909683215662295049666, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.4._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420447
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879107, 74455654495971741665551282307615854441200, 295241039866686163195719829588157054762, 271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 79833840, 9147069141022586128370311296147, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 351334606581815205933600, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420448
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [351309002356175672206773, 3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 351332052034706620461600, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 43591104, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322], 'label': '11019960576.bb.24._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420449
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879104, 271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 79833840, 9147069141022586128370311296147, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 351309002356175672126133, 295241039866686163195719829588157135402, 351336917838722973741600, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420450
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420451
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 138280195106855557007089495861173153299763, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420452
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 243, 295241039866686187923741088212045790202, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 324356034568044036141504, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420453
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 295241039866686163195719829588157135402, 17988428194610163477679409034956, 351336917838722973741600, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420454
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 243, 295241039866686187923741088212045790202, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 17988428219338179488786778075356, 6790363012042583355328143347533917364, 324356034568044036141504, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.24._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420455
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 8240827066861323059517350486931837, 17988427843301161121503736908825, 93405312004, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420456
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 243, 295241039866686187923741088212045790202, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 8240827066886051075528457855846237, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 324356034568044036141504, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420457
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 8240827066861323059517350486931837, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 159851457230499802392419364454127609596674, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420459
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 243, 295241039866686187923741088212045790202, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 8240827066886051075528457855846237, 806582922253211445524582404, 93405312004, 240, 17988428219338179488786778075356, 6790363012042583355328143347533917364, 324356034568044036141504, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420460
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 243, 295241039866686187923741088212045790202, 138276409308149846733575561562414632301603, 376037018367283041166533, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 324356034568044036141504, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420461
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 26976022002804168034560, 79833840, 9147069141022586128370311296147, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 351309002356175672126133, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420462
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 376037018367283041166533, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 376062622592922574893360, 138276409308149846733575561562414632301603, 43626240, 43626243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420463
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [351336917838722973741507, 271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420464
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 351309002356175672126133, 351336917838722973741600, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420465
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420466
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 351309002356175672126133, 351336917838722973741600, 265919260105889563445493308223278866854453, 265918733642759464059895761599684335755333, 240, 243, 138274491117887479521387864951619706173587, 806582922253211445524582404], 'label': '11019960576.bb.24._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420467
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 351309002356175672126133, 265922519368198165223211902331029514337798, 351336917838722973741600, 265918733642759464059895761599684335755333, 240, 243, 806582922253211445524582404], 'label': '11019960576.bb.24._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420468
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 8222838669689132982701655499938481], 'label': '11019960576.bb.8._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420469
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 324356034568044036141504, 80640, 26976022714179104140800, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420470
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 79833840, 6790363012042583355328143347533917364, 295241039866686539232738196871234509439, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 26976022002804168034560, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420471
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 26976022002804168079920, 80640, 43626243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 295241039866686487528704719101281183839, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 43626240, 376062622592922574893360, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420472
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [351336917838722973741507, 79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 295241039866686539232738196777829197199, 240, 93405312004, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420479
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 223681183845188573699974859434123414256519, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420480
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 376037018367283041166533, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420481
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.24._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420482
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 295241039866686163195719829588193378186, 243, 138276409308149846733575561562414632301603, 376037018367283041166533, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686487551757000374122409146, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.24._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420483
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420484
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 295241039866686163195719829588193378186, 243, 138276409308149846733575561562414632301603, 376037018367283041166533, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 295241039866686487551757000374122409146, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420485
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420486
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 295241039866686163195719829588193378186, 243, 138276409308149846733575561562414632301603, 376037018367283041166533, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 295241039866686487551757000374122409146, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420487
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420488
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 295241039866686539258101400287205289146, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 138280195106855557007089495861173153299763, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420489
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 295241039866686512284639192108062633146, 243, 295241039866686163195719829588236888266, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420490
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 223681175613508157528312218129839299272175, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420491
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 6790363012042583355328143347533917364, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.24._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420492
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 295241039866686163195719829588193378186, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686487551757000374122409146, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 295241039866686512256724842281151788429, 8240827066510014057161174814805704], 'label': '11019960576.bb.24._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420493
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420494
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 295241039866686163195719829588193378186, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 295241039866686487551757000374122409146, 376703623296244, 51704033477944353408003, 295241039866686512256724842281151788429, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420495
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420496
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 295241039866686163195719829588193378186, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 295241039866686487551757000374122409146, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 295241039866686512256724842281151788429], 'label': '11019960576.bb.24._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420497
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 376037018367283041166533, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420498
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 79833840, 9147069141022586128370311296147, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 295241039866686187923740376837109809962, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420499
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 43626243, 295241039866686187923741088212045790202, 138276409308149846733575561562414632301603, 376037018367283041166533, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 43626240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420500
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 295241039866686187923740711776104519722, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420501
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 74455662718810411354684021719070536589681, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.2._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420502
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 74455662718810411354684021719070536589681, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420503
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420504
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 295241039866686512284636212755915390666, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420505
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 265918733642759464059895761599684335755333, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 806582922253211445524582404, 351309002356175672126133, 265919260105889563445493308223278866854453, 93405312004, 240, 295241039866686512284636212755915390666, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420506
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 265918733642759464059895761599684335755333, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 265922519368198165223211902331029514337798, 295241039866686512284636212755915390666, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420507
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 295241039866686539232738196871234509439, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420508
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 295241039866686187923740376837109809962, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 79833840, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 295241039866686539232738196871234509439, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420509
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 43626243, 295241039866686187923741088212045790202, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 295241039866686487528704719101281183839, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 43626240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420510
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 295241039866686539232738196777829197199, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 295241039866686187923740711776104519722, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420511
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 295241039866686539232738196871234509439, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420512
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295241039866686512284636212755915390666, 295241039866686539232738196871234509439, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420513
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 74455654487129995183021623704987239350025, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420514
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 265918733642759464059895761599684335755333, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 806582922253211445524582404, 265919260105889563445493308223278866854453, 93405312004, 240, 295241039866686512284636212755915390666, 295241039866686539232738196871234509439, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420515
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 295241039866686187923740376837109729322, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 265922519368198165223211902331029514337798, 265918733642759464059895761599684335755333, 240, 243, 806582922253211445524582404], 'label': '11019960576.bb.24._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420516
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 376037018367283041166533, 9147069141022586128370311296147, 324356034568044036141504, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420517
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 79833840, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420518
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 376037018367283041166533, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 295241039866686163195719829588236888266, 376062622592922574893360, 138276409308149846733575561562414632301603, 43626240, 43626243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420519
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [351336917838722973741507, 79879200, 3259546181009763593648452334612155680, 80640, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686163195719829588157135545, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420520
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420523
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [351309002356175672206773, 3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 351332052034706620461600, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 43591104, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420524
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 159851457248487423652780090379897717335675, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420525
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 295241039866686163195719829588193378186, 243, 138276409308149846733575561562414632301603, 376037018367283041166533, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 324356034568044036141504, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.24._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420526
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 79833840, 6790363012042583355328143347533917364, 295241021878258344622579255333372820547, 295241039866686163195719829588157054762, 376703623296244, 51704033477944353408003, 351336917838722973741600, 8240827066510014057161174814725064], 'label': '11019960576.bb.24._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420527
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 376037018367283041166533, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295241021878258344622579966708308881427, 93405312004, 295241039866686163195719829588236888266, 376062622592922574893360, 138276409308149846733575561562414632301603, 43626240, 43626243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420528
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [351336917838722973741507, 79879200, 3259546181009763593648452334612155680, 80640, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 295241021878258344622579632117947386947, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.24._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420529
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600], 'label': '11019960576.bb.24._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420530
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600], 'label': '11019960576.bb.24._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420531
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 265918733642759464059895761599684335755333, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 351309002356175672126133, 265919260105889563445493308223278866854453, 93405312004, 240, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600], 'label': '11019960576.bb.24._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420532
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 265918733642759464059895761599684335755333, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 265922519368198165223211902331029514337798, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600], 'label': '11019960576.bb.24._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420533
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 295241039866686163195719829588193378186, 243, 138276409308149846733575561562414632301603, 376037018367283041166533, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 324356034568044036141504, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420534
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 295232799039619677909683215662295004306, 93405312004, 240, 79833840, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420535
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 159851465453337665498611668711694242305971, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420536
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 376037018367283041166533, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 295241039866686163195719829588236888266, 376062622592922574893360, 138276409308149846733575561562414632301603, 295232799039619677909683927037231110546, 43626240, 43626243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420537
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [351336917838722973741507, 79879200, 3259546181009763593648452334612155680, 80640, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683592446869616066, 295241039866686163195719829588157135545, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420538
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 376703623296244, 51704033477944353408003, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420539
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 295232799039619677909683215662295049666, 376703623296244, 51704033477944353408003, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420540
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 265918733642759464059895761599684335755333, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 351309002356175672126133, 265919260105889563445493308223278866854453, 93405312004, 240, 295232799039619677909683215662295049666, 376703623296244, 51704033477944353408003, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420541
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 265918733642759464059895761599684335755333, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 265922519368198165223211902331029514337798, 295232799039619677909683215662295049666, 376703623296244, 51704033477944353408003, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420542
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 295241039866686163195719829588193378186, 243, 138276409308149846733575561562414632301603, 376037018367283041166533, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 324356034568044036141504, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420543
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 295232799039619677909683215662295004306, 93405312004, 240, 79833840, 6790363012042583355328143347533917364, 295241021878258344622579255333372820547, 295241039866686163195719829588157054762, 376703623296244, 51704033477944353408003, 351336917838722973741600], 'label': '11019960576.bb.24._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420544
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [295232799039619677909683927037231110546, 3259546181009763593648452334612155680, 80640, 43626243, 138276409308149846733575561562414632301603, 376037018367283041166533, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 43626240, 295241021878258344622579966708308881427, 376062622592922574893360, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420545
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [351336917838722973741507, 79879200, 3259546181009763593648452334612155680, 80640, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 295241021878258344622579632117947386947, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420546
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420547
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 351336917838722973741600], 'label': '11019960576.bb.24._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420548
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 295232799039619677909683215662295049666, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 351336917838722973741600], 'label': '11019960576.bb.24._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420549
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 265918733642759464059895761599684335755333, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 351309002356175672126133, 265919260105889563445493308223278866854453, 93405312004, 240, 295232799039619677909683215662295049666, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 351336917838722973741600], 'label': '11019960576.bb.24._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420550
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 265918733642759464059895761599684335755333, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 265922519368198165223211902331029514337798, 295232799039619677909683215662295049666, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 351336917838722973741600], 'label': '11019960576.bb.24._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420551
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26976022714179104140800, 3259546181009763593648452334612155680, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 376037018367283041166533, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420552
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 295241039866686539255790143379437481146, 351309002356175672126133, 93405312004, 240, 79833840, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 26976022002804168034560, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420553
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 26976022002804168079920, 80640, 43626243, 138276409308149846733575561562414632301603, 376037018367283041166533, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 43626240, 6790363012042583355328143347533917364, 295241039866686487551757000374122409146, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420554
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 79879200, 351309002356175672126133, 295241039866686539258102111755466793146, 138276409308149846733575561562414632301603, 240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420555
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420556
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 243, 295241039866686539258101400287205289146, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420557
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 223681175622349904010841876732480368404998, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420558
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 26976022002804168079920, 243, 265918733642759464059895761599684335755333, 295241039866686539258101400287205289146, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 806582922253211445524582404, 351309002356175672126133, 265919260105889563445493308223278866854453, 93405312004, 240, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420559
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 26976022002804168079920, 243, 265918733642759464059895761599684335755333, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 265922519368198165223211902331029514337798, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420560
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 376037018367283041166533, 9147069141022586128370311296147, 80640, 26976022714179104140800, 3785716289115616371721061641883764080, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420561
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 26976022002804168034560, 79833840, 9147069141022586128370311296147, 3785716289115616371721061641883764080, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 295241039866686539255790143379437481146, 806582922253211445524582404], 'label': '11019960576.bb.24._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420562
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 26976022002804168079920, 80640, 43626243, 138276409308149846733575561562414632301603, 376037018367283041166533, 295241021878258319894558708084499979443, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 43626240, 6790363012042583355328143347533917364, 295241039866686487551757000374122409146, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.24._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420563
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241021878258319894558708084420226720, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420564
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 295241021878258319894558708084420226627, 93405312004, 79879200, 351309002356175672126133, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420568
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420569
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26976022714179104140800, 3259546181009763593648452334612155680, 295232799039619653181662668413342329746, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 376037018367283041166533, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420570
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 295232799039619653181662668413342329746, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 79833840, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 26976022002804168034560, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420571
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [295232799039619653181662668413422208562, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 43626243, 138276409308149846733575561562414632301603, 376037018367283041166533, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 43626240, 6790363012042583355328143347533917364, 295241039866686487551757000374122409146, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420572
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 138276409308149846733575561562414632301603, 295232799039619653181662668413342329841, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686539258102111755466793146, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420573
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039619653181662668413342329746, 26976022002804168079920, 80640, 243, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420574
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039619653181662668413342329746, 26976022002804168079920, 80640, 243, 295241039866686539258101400287205289146, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420575
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 295232799039619653181662668413342329746, 26976022002804168079920, 243, 265918733642759464059895761599684335755333, 295241039866686539258101400287205289146, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 806582922253211445524582404, 351309002356175672126133, 265919260105889563445493308223278866854453, 93405312004, 240, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420576
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 295232799039619653181662668413342329746, 26976022002804168079920, 243, 265918733642759464059895761599684335755333, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 265922519368198165223211902331029514337798, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420577
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26976022714179104140800, 3259546181009763593648452334612155680, 295232799039619653181662668413342329746, 80640, 243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 376037018367283041166533, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241021878258319894558708084420226627, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420578
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 295232799039619653181662668413342329746, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 295241039866686539255790143379437481146, 351309002356175672126133, 93405312004, 240, 79833840, 6790363012042583355328143347533917364, 295241021878258319894558708084420226627, 376703623296244, 51704033477944353408003, 26976022002804168034560], 'label': '11019960576.bb.24._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420579
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 159851465471326062319492743129367977397194, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420580
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [295232799039619653181662668413422208562, 3259546181009763593648452334612155680, 26976022002804168079920, 80640, 43626243, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 376037018367283041166533, 295241021878258319894558708084499979443, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 43626240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420581
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241021878258319894558708084420226720, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686539258101734970892226746, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 295232799039619653181662668413342329746, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420586
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879107, 271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 223681183845188573699974859434123414256519, 376037018367283041166533, 9147069141022586128370311296147, 80640, 26976022714179104140800, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420587
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [351309002356175672206773, 79879104, 3259546181009763593648452334612155680, 138276409308149846733575561562414632301603, 223681183845188573699974859434123414256519, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 43591104, 6790363012042583355328143347533917364, 79879107, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 26976022002804168034560, 351334606581815205933600], 'label': '11019960576.bb.24._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420588
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 351309002356175672126133, 295241039866686163195719829588157135402, 351336917838722973741600, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.24._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420589
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 351309002356175672171493, 51704033477944353408003, 10628380765425749097490287413829347865600, 223681183845188573699974859434123414256519, 26976022002804168034560, 9147069141022586128370311296147, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 138276409308149846733575561562414632301603, 351332052034706620461600, 80788, 4, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420590
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.8._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420591
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 223681183845188573699974859434123414256519, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 265922519368198165223211902331029514337798, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.24._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420592
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879107, 271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 223681183845188573699974859434123414256519, 376037018367283041166533, 295241039866686487551757000374122409146, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686163195719829588236888266, 138276409308149846733575561562414632301603, 240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420593
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [351309002356175672206773, 79879104, 3259546181009763593648452334612155680, 138276409308149846733575561562414632301603, 223681183845188573699974859434123414256519, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 43591104, 6790363012042583355328143347533917364, 79879107, 295241039866686163195719829588157054762, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 295241039866686539260655947395790761146], 'label': '11019960576.bb.24._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420594
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 295241039866686163195719829588193378186, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 376037018367283041166533, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 79879107, 351028012324112505709200820304714670491517, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420595
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [351309002356175672206773, 79879104, 3259546181009763593648452334612155680, 351028012332649379358328808398931139154557, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 43591104, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 79879107, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420596
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879107, 271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686187923740711601784305962, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 223681183845188573699974859434123414256519, 376037018367283041166533, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 138276409308149846733575561562414632301603, 240, 6790363012042583355328143347533917364, 806582922253211445524582404, 295241039866686487551754397632193150906], 'label': '11019960576.bb.24._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420597
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [351309002356175672206773, 79879104, 3259546181009763593648452334612155680, 138276409308149846733575561562414632301603, 223681183845188573699974859434123414256519, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 43591104, 6790363012042583355328143347533917364, 79879107, 295241039866686512284636212755915390666, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 295241039866686187923740376837109729322], 'label': '11019960576.bb.24._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420598
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 8240827066510014057161174814805704, 295241039866686187923740711601784305962, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 223681183845188573699974859434123414256519, 376037018367283041166533, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 138276409308149846733575561562414632301603, 240, 43626243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420599
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 351309002356175672171493, 51704033477944353408003, 10628380765425749097490287413829347865600, 223681183845188573699974859434123414256519, 9147069141022586128370311296147, 295241039866686187923740376837109764602, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 79879200, 138276409308149846733575561562414632301603, 80788, 4, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420600
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 138280195106855557007089495861173153299763, 301759921623306893566995969495966719402, 74455662718810411354684021719070536589681, 138279940116439424564917199653023401763987, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.24._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420601
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420602
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 32212663713013635214092553944821211267692, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 138280195106855557007089495861173153299763, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420603
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 223681175622349904010841876732480368404998, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 265922519368198165223211902331029514337798, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420604
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 223681183845188573699974859434123414256519, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 223681175622349904010841876732480368404998, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 265922519368198165223211902331029514337798, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420605
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 138280195106855557007089495861173153299763, 301759921623306893566995969495966719402, 138279940116439424564917199653023401763987, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420606
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879107, 74455654495971741665551282307615854441200, 271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 26976022002804168034560, 79833840, 9147069141022586128370311296147, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 74455662718810411354684021719070536589681, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 351334606581815205933600, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420607
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923741088212045790202, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 376037018367283041166533, 9147069141022586128370311296147, 324356034568044036141504, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.24._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420608
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 26976022002804168034560, 79833840, 9147069141022586128370311296147, 74455654495971741665551282307615854441203, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 74455662718810411354684021719070536589681, 351309002356175672126133, 138276409308149846733575561562414632301603, 351332052034706620461600, 240, 43626243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420609
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [74455654495971741665551282307615854441200, 351336917838722973741507, 271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 74455662718810411354684021719070536589681, 79879200, 351309002356175672126133, 138276409308149846733575561562414632301603, 4, 6790363012042583355328143347533917364, 806582922253211445524582404, 26976022379588742646320], 'label': '11019960576.bb.24._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420610
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 138280195106855557007089495861173153299763, 301759921623306893566995969495966719402, 74455662718810411354684021719070536589681, 138279940116439424564917199653023401763987, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420611
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879107, 74455654495971741665551282307615854441200, 295241039866686163195719829588157054762, 271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539260655947395790761146, 79833840, 9147069141022586128370311296147, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 74455662718810411354684021719070536589681, 138276409308149846733575561562414632301603, 240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420612
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 240, 93405312004, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322, 223681183836346796195025114169522831165294, 17988427843301161121503736908825], 'label': '11019960576.bb.2._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420613
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 74455662709968633849734276454457499456904, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420614
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879104, 79879107, 74455654495971741665551282307615854441200, 271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686487551757000374122409146, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 74455662718810411354684021719070536589681, 295241039866686163195719829588157135402, 138276409308149846733575561562414632301603, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420615
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 74163681115231359737023838281477689609720, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 79833840, 6790363012042583355328143347533917364, 79879107, 74455654495971741665551282307615854441200, 295241039866686163195719829588157054762, 376703623296244, 51704033477944353408003, 295241039866686539260655947395790761146], 'label': '11019960576.bb.24._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420616
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879104, 80640, 3259546181009763593648452334612155680, 295241039866686163195719829588236888266, 138276409308149846733575561562414632301603, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 74163681115231359737023838281477689609720, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 6790363012042583355328143347533917364, 79879107, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 295241039866686512256724842281151788429], 'label': '11019960576.bb.24._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420617
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 79833840, 6790363012042583355328143347533917364, 295241039866686539232738196871234428799, 74455662718810411354684021719070536589681, 79879107, 295241039866686512284636212755915390666, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322], 'label': '11019960576.bb.24._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420618
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879104, 80640, 3259546181009763593648452334612155680, 295241039866686187923741088212045790202, 295241039866686539258099132309914238762, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 6790363012042583355328143347533917364, 74455662718810411354684021719070536589681, 79879107, 295241039866686539232738196871234509439, 74455654495971741665551282307615854441200, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420619
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 295241039866686539232738196871234428799, 51704033477944353408003, 10628380765425749097490287413829347865600, 79833840, 9147069141022586128370311296147, 74455654495971741665551282307615854441203, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 74455662718810411354684021719070536589681, 138276409308149846733575561562414632301603, 295241039866686512282081665647329918666, 240, 43626243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420620
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [74455654495971741665551282307615854441200, 271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 74455662718810411354684021719070536589681, 79879200, 138276409308149846733575561562414632301603, 4, 295241039866686187923740711776104519722, 6790363012042583355328143347533917364, 295241039866686512284636212755915390909, 806582922253211445524582404], 'label': '11019960576.bb.24._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420621
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [74455654495971741665551282307615854441200, 271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 79833840, 9147069141022586128370311296147, 26976022002804168115200, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 351309002356175672126133, 159851457248487423652780090379897717335675, 351336917838722973741600, 138276409308149846733575561562414632301603, 243, 43626240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420622
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [351309002356175672206773, 3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 74455654495971741665551282307615854441203, 26976022002804168115200, 271353675587871455539490683625517360, 351332052034706620461600, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 43626240, 43591104, 6790363012042583355328143347533917364, 159851457248487423652780090379897717335675, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420623
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [159851457248487423704484123857667670615675, 79879104, 74455654495971741665551282307615854441200, 271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 79833840, 9147069141022586128370311296147, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 351309002356175672126133, 138276409308149846733575561562414632301603, 351332052034706620461600, 43626243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420624
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420625
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879107, 295241039866686163195719829588157054762, 271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 79833840, 9147069141022586128370311296147, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 351309002356175672126133, 138276409308149846733575561562414632301603, 240, 351334606581815205933600, 6790363012042583355328143347533917364, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.24._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420626
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 138280195106855557007089495861173153299763, 32212655490174965524959814533366528993213, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420627
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 32212663713013635214092553944821211267692, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 138280195106855557007089495861173153299763, 32212655490174965524959814533366528993213, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.GY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420631
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 351332052034706620461600, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 43591104, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420632
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 17988428194610163477679409115596, 351332052034706620461600, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 43591104, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322], 'label': '11019960576.bb.24._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420633
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 351332052034706620461600, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 43591104, 6790363012042583355328143347533917364, 159851457230499802444123397931897562876674, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420634
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 17988428194610163477679409115596, 351332052034706620461600, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 43591104, 6790363012042583355328143347533917364, 159851457230499802444123397931897562876674, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322], 'label': '11019960576.bb.24._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420635
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 17988428194610163477679409034956, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420636
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879104, 271353675587871455539490683625517360, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 223681183845188573699974859434123414256519, 79833840, 9147069141022586128370311296147, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 351309002356175672126133, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420637
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 376037018367283041166533, 9147069141022586128370311296147, 324356034568044036141504, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 243, 43626240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420638
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879107, 271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 376037018367283041166533, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 159851457230499802417129198522618097117490, 351336917838722973741600, 138276409308149846733575561562414632301603, 43626240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420639
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 351309002356175672171493, 159851457230498995809478929300239560202850, 26976022002804168115200, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 351334606581815205933600, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420640
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 26976022002804168079920, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 351332052034706620461600, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 43591104, 6790363012042583355328143347533917364, 295241039866686539232738196871234509439, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420641
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 324356034568044036141504, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 243, 43626240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420642
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879107, 271353675587871455539490683625517360, 295241039866686512256720730208650108655, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 159851457230499802417129198522618097117490, 351336917838722973741600, 138276409308149846733575561562414632301603, 43626240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420643
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 26976022002804168115200, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686539232738196871234428799, 376703623296244, 51704033477944353408003, 351334606581815205933600, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420644
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [351309002356175672206773, 3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 295241039866686539255790143379437481146, 806582922253211445524582404, 93405312004, 240, 43591104, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420645
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 295241039866686163195719829588193378186, 243, 295241039866686512284639192108062633146, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 376037018367283041166533, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 43626240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420646
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 8240827066861323059517350486931837, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420647
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [351309002356175672206773, 3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 295241039866686539255790143379437481146, 806582922253211445524582404, 93405312004, 240, 43591104, 6790363012042583355328143347533917364, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420648
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 376037018367283041166533, 295241039866686487551757000374122409146, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241021878258344622579631943627173187, 295241039866686163195719829588157135402, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 243, 43626240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420649
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 295241039866686163195719829588157090042, 43591104, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 295241039866686539260655947395790761146, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420650
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 295241039866686163195719829588193378186, 243, 295241039866686512284639192108062633146, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 43626240, 295241039866686539232741597568879881149, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420651
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686539232741597568879916429, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 295241039866686539255790143379437481146, 806582922253211445524582404, 93405312004, 240, 43591104, 6790363012042583355328143347533917364, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420652
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 80640, 295241039866686163195719829588193378186, 243, 295241039866686512284639192108062633146, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 43626240, 295241039866686539232741597568879881149, 295241021878258344622579631943627173187, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420653
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [351309002356175672206773, 3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686187923740376837109809962, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 43591104, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420654
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 295241039866686187923740711601784305962, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 376037018367283041166533, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 243, 43626240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420655
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879107, 271353675587871455539490683625517360, 295241039866686512284636212755915390666, 295241039866686187923740376837109729322, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 376037018367283041166533, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 159851457230499802417129198522618097117490, 138276409308149846733575561562414632301603, 43626240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420656
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 351309002356175672171493, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 295241039866686512279770408739562110666, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420657
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 10628652119101336968945826904512973382960, 17988428194610163477679409034956, 8240827066861323059517350486931837, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 351336917838722973741600, 295241039866686187923740376837109729322], 'label': '11019960576.bb.8._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420658
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 295241039866686187923740376837109809962, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 43591104, 6790363012042583355328143347533917364, 295241039866686512284636212755915390666, 295241039866686539232738196871234509439, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420659
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686512284636212755915390666, 295241039866686187923740711601784305962, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686539232738196871234509439, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 243, 43626240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420660
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879107, 271353675587871455539490683625517360, 295241039866686512284636212755915390666, 295241039866686187923740376837109729322, 295241039866686512256720730208650108655, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 17988427843301161121503736908825, 93405312004, 159851457230499802417129198522618097117490, 138276409308149846733575561562414632301603, 43626240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420661
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 295241039866686512279770408739562110666, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 6790363012042583355328143347533917364, 295241039866686539232738196871234428799, 376703623296244, 51704033477944353408003, 295241039866686187923740376837109729322, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.ID', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420662
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 32212663695025207370791392823317474358917, 93405312004, 138280195106855557007089495861173153299763, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.24._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420663
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879104, 271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 79833840, 9147069141022586128370311296147, 26976022002804168079920, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 74455662718810411354684021719070536589681, 351309002356175672126133, 351336917838722973741600, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420664
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879107, 271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 79833840, 9147069141022586128370311296147, 26976022002804168115200, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 74455662718810411354684021719070536589681, 351309002356175672126133, 159851457230498995809478929300239560202850, 138276409308149846733575561562414632301603, 351334606581815205933600, 43626240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420665
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [351309002356175672206773, 3259546181009763593648452334612155680, 138276409308149846733575561562414632301603, 26976022002804168115200, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 43626240, 43591104, 6790363012042583355328143347533917364, 74455662718810411354684021719070536589681, 79879107, 376703623296244, 51704033477944353408003, 351334606581815205933600], 'label': '11019960576.bb.24._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420666
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879107, 271353675587871455539490683625517360, 295241039866686187923740711601784305962, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 223681183845188573699974859434123414256519, 376037018367283041166533, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686163195719829588236888266, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.II', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420667
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 295241039866686539232741597568879881149, 138280195106855557007089495861173153299763, 301759921623306893566995969495966719402, 138279940116439424564917199653023401763987, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420668
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420669
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 74455662709968633849734276454457499456904, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 138279940116439424564917199653023401763987, 138280195106855557007089495861173153299763, 79879200, 295241039866686163195719829588157135402, 301759921623306893566995969495966719402, 240, 243, 138274491117887479521387864951619706173587, 806582922253211445524582404, 8222838669689132982701655499938481], 'label': '11019960576.bb.24._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420670
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 265922519368198165223211902331029514337798, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.24._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420671
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 295241039866686187923740376837109729322, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 32212663695025207370791392823317474358917, 93405312004, 138280195106855557007089495861173153299763, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420672
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 295241039866686539232741597568879881149, 138280195106855557007089495861173153299763, 301759921623306893566995969495966719402, 138279940116439424564917199653023401763987, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.24._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420673
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 295241039866686163228767016036089770185, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 265922519368198165223211902331029514337798, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 223681183836346796195025114169522831165294, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420674
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 79833840, 9147069141022586128370311296147, 295241039866686187923740376837109764602, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 223681175613508157528312218129839299272175, 351309002356175672126133, 295241039866686163195719829588157135402, 351336917838722973741600, 138276409308149846733575561562414632301603, 243, 43626240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420675
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 80640, 243, 295241039866686163228767016036089770185, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295241021878258695956940278795922421923, 265922519368198165223211902331029514337798, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.24._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420676
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686163228767016036089770185, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 371986544667411756206287670966191803539278, 138276409308149846733575561562414632301603, 240, 243, 806582922253211445524582404], 'label': '11019960576.bb.24._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420677
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039620029244287529313208147442, 80640, 243, 295241039866686163228767016036089770185, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 295241021878258695956940278795922421923, 265922519368198165223211902331029514337798, 376703623296244, 51704033477944353408003, 223681183836346796195025114169522831165294], 'label': '11019960576.bb.24._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420678
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686163228767016036089770185, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295232799039620029244287529313208147442, 93405312004, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 371986544667411756206287670966191803539278, 138276409308149846733575561562414632301603, 240, 243, 806582922253211445524582404], 'label': '11019960576.bb.24._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420679
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.8._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420680
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 3259546181009763593648452334612155680, 295232799039620029244287529313208147442, 80640, 243, 295241039866686163228767016036089770185, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 265922519368198165223211902331029514337798, 376703623296244, 51704033477944353408003, 223681183836346796195025114169522831165294, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420681
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 295241039866686163228767016036089770185, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 295232799039620029244287529313208147442, 17988427843301161121503736908825, 93405312004, 79879200, 295241039866686163195719829588157135402, 371986544667411756206287670966191803539278, 138276409308149846733575561562414632301603, 240, 243, 806582922253211445524582404], 'label': '11019960576.bb.24._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420682
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 32212663695025207370791392823317474358917, 17988427843301161121503736908825, 93405312004, 138280195106855557007089495861173153299763, 79879200, 295241039866686163195719829588157135402, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420683
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 42244603373838606020812355683495444255410, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 93405312004, 240, 138280195106855557007089495861173153299763, 265922519368198165223211902331029514337798, 138279940116439424564917199653023401763987, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420684
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 295241039866686539258101400287205289146, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 32212663695025207370791392823317474358917, 93405312004, 138280195106855557007089495861173153299763, 79879200, 295241039866686163195719829588157135402, 295241021878258344622579255333372820547, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420685
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 42244603373838606020812355683495444255410, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 93405312004, 240, 138280195106855557007089495861173153299763, 265922519368198165223211902331029514337798, 138279940116439424564917199653023401763987, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.24._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420686
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 32212663695025207370791392823317474358917, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 138280195106855557007089495861173153299763, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420687
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 42244603373838606020812355683495444255410, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 93405312004, 240, 138280195106855557007089495861173153299763, 265922519368198165223211902331029514337798, 295232799039619677909683215662295049666, 138279940116439424564917199653023401763987, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420688
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 32212663695025207370791392823317474358917, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 138280195106855557007089495861173153299763, 6790363012042583355328143347533917364, 295232799039619677909683215662295049666, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420689
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 9147069141022586128370311296147, 42244603373838606020812355683495444255410, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 93405312004, 240, 138280195106855557007089495861173153299763, 265922519368198165223211902331029514337798, 295232799039619677909683215662295049666, 138279940116439424564917199653023401763987, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420690
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 295232799039619677909683215662295049666, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420691
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879107, 271353675587871455539490683625517360, 295241039866686187923740711601784305962, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 376037018367283041166533, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 295241039866686163195719829588236888266, 223681175613508157528312218129839299272175, 351336917838722973741600, 138276409308149846733575561562414632301603, 240, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420692
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [42244603373838606020812355683495444255410, 271353675587871455539490683625517360, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 17988427843301161121503736908825, 93405312004, 138279940116439424564917199653023401763987, 138280195106855557007089495861173153299763, 79879200, 295241039866686163195719829588157135402, 265922519368198165223211902331029514337798, 351336917838722973741600, 240, 243, 806582922253211445524582404], 'label': '11019960576.bb.24._.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420693
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 93405312004, 240, 271591147150989774286753760601139798, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420694
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 3785716289115859587276604445062237584, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 93405312004, 240, 127579834303641414366767803894564, 271591147150989774286753760601139798, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420695
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 32212663695025207370791392823317474358917, 93405312004, 138280195106855557007089495861173153299763, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 295241021878258344622579255333372820547, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420696
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [42244603373838606020812355683495444255410, 271353675587871455539490683625517360, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 93405312004, 138279940116439424564917199653023401763987, 138280195106855557007089495861173153299763, 79879200, 295241039866686163195719829588157135402, 265922519368198165223211902331029514337798, 351336917838722973741600, 295241021878258344622579255333372820547, 240, 243, 806582922253211445524582404], 'label': '11019960576.bb.24._.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420697
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 308162522361259280464537971831007403657520, 240, 93405312004, 271591147150989774286753760601139798, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 351336917838722973741600], 'label': '11019960576.bb.24._.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420698
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 3785716289115859587276604445062237584, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 93405312004, 240, 127579834303641414366767803894564, 271591147150989774286753760601139798, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.24._.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420699
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 32212663695025207370791392823317474358917, 17988427843301161121503736908825, 93405312004, 295232799039619677909683215662295049666, 138280195106855557007089495861173153299763, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420700
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 271353675587871455539490683625517360, 9147069141022586128370311296147, 42244603373838606020812355683495444255410, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 93405312004, 240, 138280195106855557007089495861173153299763, 265922519368198165223211902331029514337798, 295232799039619677909683215662295049666, 138279940116439424564917199653023401763987, 376703623296244, 51704033477944353408003, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420701
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 351309002356175672126133, 93405312004, 240, 10628652119101336968945826904512973382960, 295232799039619677909683215662295049666, 9146650338351416191655337984144, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.8._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420702
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 308162522361259280464537971831007403657520, 240, 93405312004, 295232799039619677909683215662295049666, 271591147150989774286753760601139798, 376703623296244, 51704033477944353408003, 351336917838722973741600, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420703
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 3785716289115859587276604445062237584, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 93405312004, 240, 127579834303641414366767803894564, 295232799039619677909683215662295049666, 271591147150989774286753760601139798, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420704
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 3785716289115616371721061641883764080, 376703623296244, 32212663695025207370791392823317474358917, 93405312004, 295232799039619677909683215662295049666, 138280195106855557007089495861173153299763, 79879200, 295241039866686163195719829588157135402, 351336917838722973741600, 295241021878258344622579255333372820547, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420705
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 271353675587871455539490683625517360, 9147069141022586128370311296147, 42244603373838606020812355683495444255410, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 93405312004, 240, 138280195106855557007089495861173153299763, 265922519368198165223211902331029514337798, 295232799039619677909683215662295049666, 138279940116439424564917199653023401763987, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 351336917838722973741600], 'label': '11019960576.bb.24._.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420706
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 138276409308149846733575561562414632301603, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 3785716289115616371721061641883764080, 806582922253211445524582404, 308162522361259280464537971831007403657520, 240, 93405312004, 295232799039619677909683215662295049666, 271591147150989774286753760601139798, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003, 351336917838722973741600], 'label': '11019960576.bb.24._.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420707
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 138276409308149846733575561562414632301603, 159851457230498995809478929300239560202850, 3785716289115859587276604445062237584, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 93405312004, 240, 127579834303641414366767803894564, 295232799039619677909683215662295049666, 271591147150989774286753760601139798, 295241021878258344622579255333372820547, 376703623296244, 51704033477944353408003], 'label': '11019960576.bb.24._.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420708
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879200, 80640, 243, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 74455662709968633849734276454457499456904, 93405312004, 240, 295241039866686539232741597568879881149, 138280195106855557007089495861173153299763, 138279940116439424564917199653023401763987, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420709
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79879104, 295241039866686163195719829588157054762, 271353675587871455539490683625517360, 3259546181009763593648452334612155680, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 79833840, 9147069141022586128370311296147, 295241039866686187923740376837109764602, 3785716289115616371721061641883764080, 376703623296244, 93405312004, 74455662718810411354684021719070536589681, 351309002356175672126133, 351336917838722973741600, 138276409308149846733575561562414632301603, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420710
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 138279940116439424564917199653023401763987, 138280195106855557007089495861173153299763, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 240, 243, 138274491117887479521387864951619706173587, 806582922253211445524582404, 74455662727654286647384060921252530328584], 'label': '11019960576.bb.24._.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420711
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 8240827066510014057161174814805704, 51708899281960706733363, 526490602717090084376619504331278960, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 93405312004, 295241039866686539232741597568879881149, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 74455662718511798872631858908017687233548, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420712
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879200, 80640, 243, 6518881756620408281162514089535147123, 295241039866686539258101400287205289146, 271353675587871455539490683625517360, 119042154071591173061373572624067, 138279940116439424564917199653023401764080, 51708899281960706733363, 295241039866686163195719829588157135402, 271463567316767229310594753548331683, 806582922253211445524582404, 93405312004, 240, 295241039866686539232741597568879881149, 10628652119101336968945826904512973382960, 9146650338351416191655337984144, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.8._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420713
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 295232799039620029244287529313208147442, 93405312004, 295241039866686539232741597568879881149, 138279940116439424564917199653023401763987, 138280195106855557007089495861173153299763, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 240, 243, 138274491117887479521387864951619706173587, 806582922253211445524582404, 74455662727654286647384060921252530328584], 'label': '11019960576.bb.24._.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420714
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 526490602717090084376619504331278960, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 295232799039620029244287529313208147442, 93405312004, 295241039866686539232741597568879881149, 295241021878258695956940278795922421923, 79879200, 295241039866686163195719829588157135402, 74455662718511798872631858908017687233548, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.JZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.JZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420715
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 295232799039620029244287529313208147442, 17988427843301161121503736908825, 93405312004, 295241039866686539232741597568879881149, 138279940116439424564917199653023401763987, 138280195106855557007089495861173153299763, 79879200, 295241039866686163195719829588157135402, 240, 243, 138274491117887479521387864951619706173587, 806582922253211445524582404, 74455662727654286647384060921252530328584], 'label': '11019960576.bb.24._.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.KA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.KA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420716
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 526490602717090084376619504331278960, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 80640, 376703623296244, 295232799039620029244287529313208147442, 17988427843301161121503736908825, 93405312004, 295241039866686539232741597568879881149, 79879200, 295241039866686163195719829588157135402, 74455662718511798872631858908017687233548, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.24._.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.KB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.KB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420717
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [80640, 6518881756620433009181592538599093360, 243, 265918733642759464059895761599684335755333, 3785716289115859615697875923476519637, 295241039866686539258101400287205289146, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 806582922253211445524582404, 265919260105889563445493308223278866854453, 93405312004, 240, 3785716289115616371721061641840263744, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.KC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.KC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420718
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [79879200, 80640, 26976022002804168079920, 3785716289115616371721061641883763987, 265918733642759464059895761599684335755333, 295241039866686539258101400287205289146, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 806582922253211445524582404, 351309002356175672126133, 265919260105889563445493308223278866854453, 93405312004, 240, 299026738167373936266036479525479068723, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704], 'label': '11019960576.bb.24._.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.KD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.KD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420719
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [80640, 26976022002804168079920, 6518881756620705630447088211416516293, 265918733642759464059895761599684335755333, 295241039866686539258101400287205289146, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 6518881756620408281162514089614980483, 10628380765425749097490287413829347865600, 806582922253211445524582404, 265919260105889563445493308223278866854453, 93405312004, 299026738167373936266036479525479068723, 376703623296244, 51704033477944353408003, 6518881756620408281162514089614980480, 6518881756620408281162514089578611840, 299018515328735269553383730055218835842], 'label': '11019960576.bb.24._.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.KE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.KE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420720
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [6518881756620408281162514089614945344, 295232799039619653181662668413342329746, 243, 265918733642759464059895761599684335755333, 295241039866686539258101400287205289146, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 10628380765425749097490287413829347865600, 806582922253211445524582404, 351309002356175672126133, 265919260105889563445493308223278866854453, 93405312004, 240, 3785716289115616371721061641840263744, 3785716289115564667691320742822178624, 376703623296244, 51704033477944353408003, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.KF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.KF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420721
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [79879200, 80640, 243, 159851457230498995809478929300239560202850, 295241039866686539258101400287205289146, 138274491117887479521387864951619706173587, 271353675587871455539490683625517360, 9147069141022586128370311296147, 51708899281960706733363, 295241039866686163195719829588157135402, 10628380765425749097490287413829347865600, 806582922253211445524582404, 265919260105889563445493308223278866854453, 93405312004, 240, 138280195106855557007089495861173153299763, 376703623296244, 51704033477944353408003, 8240827066510014057161174814805704, 17988427843301161121503736908825], 'label': '11019960576.bb.24._.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.KG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.KG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 125420722
    {'ambient': '11019960576.bb', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353675587871455539490683625517360, 51708899281960706733363, 3259546181009763593648452334612155680, 295241039866686539258101400287205289146, 295241021878258668983475091252178481843, 51704033477944353408003, 10628380765425749097490287413829347865600, 9147069141022586128370311296147, 295232799039620029218681035696419703735, 80640, 376703623296244, 3785716289115616371721061641883764080, 93405312004, 79879200, 138276409308149846733575561562414632301603, 240, 243, 6790363012042583355328143347533917364, 806582922253211445524582404], 'label': '11019960576.bb.32._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.A', 'subgroup_fusion': None, 'weyl_group': None}