Abstract group data - 50000000.qt

Formats: - HTML - YAML - JSON - 2025-11-11T15:05:08.888255

• 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': [[104675255707856353095398173061862774711268041023, 753661818864064240840458566364127230728619599423, 648477314053239749799304948624796545574797622903, 231331230603830409575140005577592265287128246213], [106272223068185567815857471755772038051818378233, 794980233677183349634133967409543246839288067833, 648477315234170945957721512015270984148877622999, 231331231784761605733556026075715187182774575883], [104675255707856353095398173061605968388182094046, 732726778149799333940625364686957961323267233215, 690304988615898172469089824603080731288306368086, 231331231480590571918917336386886399789325573124], [523376278241375436136654474267716371370208848696, 334451549024488932558841419248265757324242123633, 648477314661598244790006329272660006222910160535, 231331231784761605733555378600205045109041455850], [167437969803848486506600331379232821371495519935, 734323744885727279013891227406319752731898115896, 271603966967542744674405515657304180421215869370, 210396934752979235696648308999095855923230467083], [104675256315417232736642356295151439225827647935, 774596114749919985219921315279844145160967161599, 711240028149231901525584231120473794930572806519, 250160045709388229027318245989999214979100379364], [104675255707856353095398173061734350626935103999, 795489491638230587710580861400782342593583423909, 669370692426652537738029169020366512330087942519, 231331231784761622817788902320752301574138553003], [146544592611366876444284806058616481469085177535, 814318306474589081166080371898305488687331507135, 690304988312508326642484978432564116569769189815, 250160044832628031315685814304880875956295640324], [167437969803848486506599684005802125474119553215, 814318305867028227733941664360736533406503687583, 629648499824442109775944688557193871252542160503, 210396934145401945745143201986628041617996652133], [167437969803848477349465062514291120025165939135, 795489491638230552343534073386486251249744585119, 711240029330163079368923026382687603442108664343, 271095085581099973226809938775846144399103551370], [104675255707856334813389114377738005176446746206, 814318306743771953558356267856574414812541703646, 648477314964988127214505340557676945419661827766, 231331231480590581076861673391037088925510218244], [104675256619604676861542718296194977229499143679, 732726778418982153914687726299502207361799962175, 629648501005373315092305690112140217286906380919, 291988463651122889095945516828485362168396652203], [104675255707856334813389114377738005362737651166, 814318306743771953558354973007249434606860058206, 648477314964988099774554325503045357513244982966, 231331231480590581076859835649718748801332995044], [104675255707856362253340672324823547297951923109, 774596115322492721754685868990166841559796095909, 690304988008337292827845641369894504753036806429, 231331230907220264559688645860650393491199551370], [104675255707856334813389657270191959834091823486, 814318306743771953558355620380706116490004479966, 648477314964988099774554325503045357674189520566, 231331231480590581076859191597301732045760815844], [104675255707856362253340672324823547552740041029, 774596115322492721754687703308263632443819599429, 648477314357427220133308847420918293194637622909, 231331230907220264559688645860394633307608246250], [146544592342184057701066692276417094121792787775, 814318306743771918191307645422256454913057990303, 690304988615898181627034805660006593659627526429, 271095085277710118242261298493043776378623551333], [167437970411409375305785179557385467749658394239, 753661817987320515016046549245284681567896783429, 690304988312508352851591641073051270878294328989, 271095085581099956141768645188046323383532718603], [125610297064686745505302456294949653850157235199, 814318306743771918191307645422154016933767142943, 711240028453419388911558984120829144803873676855, 210396934448791800729690550741375914964782403850], [146544592611366894726292674374520347627553887935, 314025767148014945678531121266566295850439071446, 250669670509114289969283145835246678740157260833, 291988463346951873597192473140832502322686296389], [753152559427116156684930671036679492994718152975, 166928710670290247568707283825568393392116458319, 709643062004838507115186082550999130538404146064, 270558299219488594541524598894675570319648324435], [104675256323837401236512705570303205761412681064, 734323745501708371646119051252135992694137475919, 690814246864292517116577092978475901659303215280, 230794444814791722899631125818901371799603109069], [186817341142588671582924337400892368523821223683, 336006476255055242737205572055515323927240538810, 251219847754272614760520594428598041801380860109, 689259311098033402507893647910653951552801054210], [126119183318948434590035484688734788081021892373, 733773194483685834776571458003570840156303100669, 709643061700651027623239037016406467909514236170, 270558300096248756885305601865309872329561816306], [167437969803848460297495503158793480293889120606, 795489491334043100324609237567847676267554791006, 709643061709071214405116610657100720679335106566, 210396934145401945745143744878979558271003971909]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 51200000000, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': None, 'aut_solvable': None, 'aut_stats': None, '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, 50, 2], [2, 625, 6], [2, 1250, 8], [2, 31250, 2], [2, 390625, 1], [4, 390625, 8], [4, 781250, 12], [5, 8, 4], [5, 16, 28], [5, 32, 160], [5, 64, 896], [5, 128, 2560], [8, 1562500, 16], [10, 200, 12], [10, 400, 60], [10, 800, 256], [10, 1600, 832], [10, 5000, 44], [10, 10000, 132], [10, 20000, 224], [10, 40000, 64], [10, 125000, 4], [10, 250000, 4]], 'center_label': '1.1', 'center_order': 1, 'central_product': None, 'central_quotient': '50000000.qt', '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', '5.1', '5.1', '5.1', '5.1', '5.1', '5.1', '5.1', '5.1'], 'composition_length': 15, 'conjugacy_classes_known': False, 'counter': 436, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': None, 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 50, 1, 2], [2, 625, 1, 6], [2, 1250, 1, 8], [2, 31250, 1, 2], [2, 390625, 1, 1], [4, 390625, 2, 4], [4, 781250, 1, 4], [4, 781250, 2, 4], [5, 8, 1, 4], [5, 16, 1, 28], [5, 32, 1, 160], [5, 64, 1, 896], [5, 128, 1, 2560], [8, 1562500, 2, 8], [10, 200, 1, 12], [10, 400, 1, 60], [10, 800, 1, 256], [10, 1600, 1, 832], [10, 5000, 1, 44], [10, 10000, 1, 132], [10, 20000, 1, 224], [10, 40000, 1, 64], [10, 125000, 1, 4], [10, 250000, 1, 4]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 40, 'exponents_of_order': [8, 7], 'factors_of_aut_order': [2, 5], 'factors_of_order': [2, 5], 'faithful_reps': None, 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '50000000.qt', 'hash': 2194229999738254264, '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': 50000000, 'inner_split': None, 'inner_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'inner_used': None, 'irrC_degree': None, 'irrQ_degree': None, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': None, 'label': '50000000.qt', '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': 'C5^6.(C2*C10^2:OD16)', 'ngens': 4, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 12, 0, 0, 12, 0, 0, 0, 4, 0, 0, 0, 0, 1, 0, 0, 0, 7, 0, 0, 27, 0, 0, 51, 0, 51, 0, 43, 15, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': None, 'number_characteristic_subgroups': 33, 'number_conjugacy_classes': 5336, 'number_divisions': 5320, 'number_normal_subgroups': 247, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 50000000, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 466975], [4, 12500000], [5, 390624], [8, 25000000], [10, 11642400]], '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': 1024, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': None, 'pc_rank': None, 'perfect': False, 'permutation_degree': 40, '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': '2833422269794574208067851962568270972716467221300123037231471766226230393630498093372404745097327627271580054718409653664604569990045568189859837038977055100650690847120823877163713745576718111392586462415126241512624149642154692443085489224866095441049500594906678262258970318746063864558577741067708149198952343503542310914228277425301047147354143681736703862396980411867126789149106898042014169635024109284261489388278733696245070943814277209808855866351262593328025969963335555513032614672323561304879186272272405856626053241185223064002378935597448524993317161539784757207261328742851773508408953626547494968551967252319883263', 'gens': [1, 3, 5, 7, 9, 11, 12, 13, 14, 15], 'pres': [15, 2, 2, 2, 2, 2, 5, 2, 5, 2, 5, 5, 5, 5, 5, 5, 30, 574244776, 551421902, 1122575867, 122, 2175575523, 478485378, 1206963604, 316732219, 424212934, 410110399, 214, 1418408645, 1367282900, 74162195, 1490, 2354073966, 1638865221, 99636636, 225726951, 136383516, 106838106, 306, 4071552007, 57622, 1314268837, 19252, 202089667, 4539369608, 2949804023, 913302038, 316953053, 411331568, 43409333, 8733248, 11367788, 398, 6571248009, 720024, 360039, 240054, 120069, 12099, 3038640010, 2640025, 1320040, 1320055, 660070, 36300100, 6730, 8766720011, 2439360026, 7200041, 7200056, 491940071, 36131, 7693938732, 4311840027, 1427400042, 39000057, 512460072, 2145102, 1911132, 6834260173, 4300800028, 2150400043, 210000058, 598500073, 43596103, 1585633, 10598400014, 2656800029, 2727000044, 1125000059, 636075074, 47655104, 5625134]}, 'Perm': {'d': 40, 'gens': [104675255707856353095398173061862774711268041023, 231331230603830409575140005577592265287128246213, 753661818864064240840458566364127230728619599423, 648477314053239749799304948624796545574797622903]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 4], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 32, 'supersolvable': False, 'sylow_subgroups_known': False, 'tex_name': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'transitive_degree': None, 'wreath_data': None, 'wreath_product': False}
• ['group_order', 'group_counter'] [50000000, 436] does not appear in gps_conj_classes
• group 50000000.qt does not appear in gps_qchar
• group 50000000.qt 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: 218884958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '50000000.qt.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': '50000000.qt', 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 218885069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '25000000.hn', 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_2.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 218885180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '25000000.hc', 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^6.C_{10}^2:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '25000000.hp', 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^6.C_{10}^2:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '25000000.y', 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^6.C_{10}^2:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '25000000.hn', 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_2.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 218885624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '25000000.hg', 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^6.C_{10}^2:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '25000000.hp', 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^6.C_{10}^2:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885650
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.2._.H', 'maximal': True, 'maximal_normal': True, 'metabelian': True, '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': 25000000, 'subgroup_tex': 'C_5^8.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218884959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '25000000.hn', 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_2.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 218884970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '25000000.hc', 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^6.C_{10}^2:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218884981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '25000000.hp', 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^6.C_{10}^2:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218884992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '25000000.y', 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^6.C_{10}^2:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '25000000.hn', 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_2.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 218885014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '25000000.hg', 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^6.C_{10}^2:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '25000000.hp', 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^6.C_{10}^2:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885036
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '12500000.bj', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.(C_2^3\\times F_5)', 'supersolvable': True, 'sylow': 0}
  • id: 218885047
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.m', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 218885070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.m', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 218885081
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885092
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.dq', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.C_{10}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.dq', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.C_{10}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.m', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 218885136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.dr', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.C_{10}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885147
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '12500000.q', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.C_{10}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.dq', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.C_{10}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.m', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 218885181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.dr', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.C_{10}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.dq', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.C_{10}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885203
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '12500000.q', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.C_{10}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885214
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885225
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.dr', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.C_{10}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.dr', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.C_{10}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.m', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 218885269
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '12500000.q', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.C_{10}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.dr', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.C_{10}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.dq', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.C_{10}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.m', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 218885314
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '12500000.q', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.C_{10}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.dr', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.C_{10}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.dq', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.C_{10}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885347
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.dr', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.C_{10}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.m', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 218885380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.dq', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.C_{10}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.m', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 218885403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.dq', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.C_{10}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.dr', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.C_{10}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885425
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885436
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885447
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885458
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885469
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '12500000.bj', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.(C_2^3\\times F_5)', 'supersolvable': True, 'sylow': 0}
  • id: 218885480
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885491
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218885502
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885514
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885525
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885536
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885547
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885558
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885569
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885580
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885591
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.4._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 12500000, 'subgroup_tex': 'C_5^8.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.r', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 218885613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.m', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 218885625
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.r', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 218885630
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.m', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 218885631
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.r', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 218885632
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.m', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 218885633
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.r', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 218885634
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '12500000.m', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 218885635
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.A', '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': '6250000.o', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^7.(C_2^2\\times F_5)', 'supersolvable': True, 'sylow': 0}
  • id: 218885636
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885637
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885638
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885640
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.l', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 218885641
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.l', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 218885642
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.l', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 218885643
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.l', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 218885644
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.o', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^7.(C_2^2\\times F_5)', 'supersolvable': True, 'sylow': 0}
  • id: 218885645
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885646
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.l', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 218885647
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.l', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 218885648
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885649
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.l', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 218885651
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.l', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 218885652
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885653
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.o', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^7.(C_2^2\\times F_5)', 'supersolvable': True, 'sylow': 0}
  • id: 218885654
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.n', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^4.D_5^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885655
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885656
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885657
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.o', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^7.(C_2^2\\times F_5)', 'supersolvable': True, 'sylow': 0}
  • id: 218885658
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.o', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^7.(C_2^2\\times F_5)', 'supersolvable': True, 'sylow': 0}
  • id: 218885659
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885660
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218884960
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.o', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^7.(C_2^2\\times F_5)', 'supersolvable': True, 'sylow': 0}
  • id: 218884961
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.o', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^7.(C_2^2\\times F_5)', 'supersolvable': True, 'sylow': 0}
  • id: 218884962
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218884963
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218884964
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.o', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^7.(C_2^2\\times F_5)', 'supersolvable': True, 'sylow': 0}
  • id: 218884965
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218884966
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218884967
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218884968
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218884969
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.o', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^7.(C_2^2\\times F_5)', 'supersolvable': True, 'sylow': 0}
  • id: 218884971
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218884972
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218884973
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218884974
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218884975
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218884976
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218884977
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218884978
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.n', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^4.D_5^4', 'supersolvable': True, 'sylow': 0}
  • id: 218884979
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218884980
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BR', '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218884982
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218884983
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218884984
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218884985
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218884986
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218884987
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.o', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^7.(C_2^2\\times F_5)', 'supersolvable': True, 'sylow': 0}
  • id: 218884988
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218884989
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218884990
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218884991
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218884993
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218884994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '6250000.m', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218884995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '6250000.m', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218884996
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 218884997
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.l', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 218884998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '6250000.m', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218884999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '6250000.m', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885000
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 218885001
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.l', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 218885002
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885004
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885005
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885006
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885007
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885008
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885009
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885010
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885011
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885012
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885013
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885015
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885016
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885017
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885018
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885019
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '6250000.m', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '6250000.m', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885022
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 218885023
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.l', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 218885024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '6250000.m', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '6250000.m', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885027
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 218885028
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.l', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 218885029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '6250000.m', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '6250000.m', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '6250000.m', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '6250000.m', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885033
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885034
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885035
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885037
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '6250000.m', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '6250000.m', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '6250000.m', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '6250000.m', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 218885042
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885043
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885044
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885045
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885046
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885048
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885049
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885050
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885051
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885052
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885053
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885054
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885055
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885056
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885057
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885059
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885060
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885061
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.o', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^7.(C_2^2\\times F_5)', 'supersolvable': True, 'sylow': 0}
  • id: 218885062
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '6250000.o', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^7.(C_2^2\\times F_5)', 'supersolvable': True, 'sylow': 0}
  • id: 218885063
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885064
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885065
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885066
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885067
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885068
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885071
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885072
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885073
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885074
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885075
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885076
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885077
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885078
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885079
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885080
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885082
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885083
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885084
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885085
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885086
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.8._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 6250000, 'subgroup_tex': 'C_5^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885087
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.10._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.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': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5000000, 'subgroup_tex': 'C_5^7.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218885088
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.10._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.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': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5000000, 'subgroup_tex': 'C_5^7.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218885089
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.10._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.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': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5000000, 'subgroup_tex': 'C_5^7.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218885090
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.10._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.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': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5000000, 'subgroup_tex': 'C_5^7.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218885091
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3125000, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^6.D_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 218885093
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3125000, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885094
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3125000, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^6.D_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 218885095
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^6.D_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 218885096
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^6.D_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 218885097
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885098
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885099
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3125000, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885100
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3125000, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885101
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885102
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885104
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885105
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885106
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885107
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885108
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885109
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885110
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3125000, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885111
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3125000, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885112
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885113
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885115
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885116
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885117
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885118
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885119
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885120
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885121
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885122
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885123
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^6.D_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 218885124
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885126
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885127
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885128
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885129
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885130
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885131
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885132
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885133
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885134
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885135
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885137
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885138
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885139
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.6', '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': '\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885140
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.6', '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': '\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885141
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.6', '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': '\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885142
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.6', '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': '\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885143
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.6', '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': '\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885144
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.6', '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': '\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885145
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.6', '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': '\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885146
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.6', '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': '\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885148
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885149
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885150
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885151
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885152
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '3125000.n', 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^5.D_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885153
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '3125000.n', 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^5.D_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885154
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '3125000.n', 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^5.D_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885155
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '3125000.n', 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^5.D_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885156
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885157
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885159
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885160
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885161
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885162
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885163
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885164
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885165
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885166
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885167
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885168
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885170
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885171
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885172
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885173
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885174
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885175
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885176
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885177
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885178
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885179
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885182
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885183
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885184
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885185
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^6.D_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 218885186
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885187
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885188
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885189
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885190
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885191
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885193
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885194
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885195
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885196
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885197
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885198
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885199
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885200
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885201
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885202
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^6.D_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 218885204
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885205
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885206
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885207
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885208
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885209
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885210
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '3125000.n', 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^5.D_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885211
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '3125000.n', 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^5.D_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885212
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '3125000.n', 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^5.D_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885213
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '3125000.n', 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^5.D_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885215
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885216
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885217
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885218
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885219
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885220
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885221
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885222
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885223
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885224
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885226
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885227
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885228
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^6.D_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 218885229
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885230
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885231
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885232
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885233
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885234
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885235
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885237
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885238
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885239
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885240
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885241
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885242
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885243
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885244
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885245
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885246
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885248
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885249
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885250
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885251
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885252
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885253
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885254
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885255
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885256
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885257
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885259
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885260
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885261
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885262
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885263
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885264
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885265
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885266
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885267
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885268
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885270
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885271
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885272
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885273
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885274
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885275
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885276
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885277
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885278
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885279
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.16._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 3125000, 'subgroup_tex': 'C_5^8.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 218885281
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2500000.e', 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7:(C_2^3\\times C_4)', 'supersolvable': True, 'sylow': 0}
  • id: 218885282
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2500000.e', 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7:(C_2^3\\times C_4)', 'supersolvable': True, 'sylow': 0}
  • id: 218885283
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2500000.e', 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7:(C_2^3\\times C_4)', 'supersolvable': True, 'sylow': 0}
  • id: 218885284
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2500000.e', 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7:(C_2^3\\times C_4)', 'supersolvable': True, 'sylow': 0}
  • id: 218885285
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885286
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885287
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885288
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885289
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885290
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885293
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885294
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885295
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885296
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885297
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885298
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885299
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885300
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885301
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885302
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885304
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885305
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885306
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885307
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885308
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885309
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885310
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885311
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885312
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885313
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885315
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885316
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885317
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885318
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885319
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885320
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885321
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885322
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885323
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885324
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885326
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885327
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885328
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885329
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885330
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2500000.e', 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7:(C_2^3\\times C_4)', 'supersolvable': True, 'sylow': 0}
  • id: 218885331
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2500000.e', 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7:(C_2^3\\times C_4)', 'supersolvable': True, 'sylow': 0}
  • id: 218885332
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2500000.e', 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7:(C_2^3\\times C_4)', 'supersolvable': True, 'sylow': 0}
  • id: 218885333
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2500000.e', 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7:(C_2^3\\times C_4)', 'supersolvable': True, 'sylow': 0}
  • id: 218885334
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885335
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885337
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885338
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885339
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218885340
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218885341
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218885342
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218885343
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885344
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885345
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885346
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885348
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885349
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885350
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885351
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885352
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885353
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885354
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885355
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885356
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885357
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885359
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885360
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885361
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885362
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885363
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885364
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885365
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885366
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885367
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885368
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885370
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885371
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885372
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885373
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885374
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885375
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885376
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885377
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885378
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885379
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885381
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885382
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885383
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885384
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885385
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885386
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885387
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885388
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885389
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885390
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885392
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885393
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885394
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885395
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885396
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885397
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885398
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885399
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885400
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885401
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885404
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885405
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885406
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885407
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885408
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885409
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885410
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885411
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885412
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885413
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885415
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885416
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885417
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885418
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885419
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2500, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885420
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885421
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885422
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2500, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885423
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2500, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885424
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2500, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885426
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885427
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885428
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2500, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885429
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885430
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885431
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885432
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2500, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885433
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2500, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885434
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885435
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885437
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885438
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2500, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885439
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885440
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885441
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885442
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885443
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885444
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885445
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885446
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885448
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885449
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.25._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '25.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': 25, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2000000.bi', 'subgroup_hash': None, 'subgroup_order': 2000000, 'subgroup_tex': 'C_5^6:(C_2^3:\\OD_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 218885451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.25._.B', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '25.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': 25, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2000000.bi', 'subgroup_hash': None, 'subgroup_order': 2000000, 'subgroup_tex': 'C_5^6:(C_2^3:\\OD_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 218885452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.25._.C', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '25.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': 25, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2000000.bi', 'subgroup_hash': None, 'subgroup_order': 2000000, 'subgroup_tex': 'C_5^6:(C_2^3:\\OD_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 218885453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.25._.D', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '25.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': 25, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2000000.bi', 'subgroup_hash': None, 'subgroup_order': 2000000, 'subgroup_tex': 'C_5^6:(C_2^3:\\OD_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 218885454
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1562500, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.A', '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': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885455
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.B', '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': 1562500, 'subgroup_tex': 'C_5^8.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 218885456
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.C', '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': 1562500, 'subgroup_tex': 'C_5^8.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 218885457
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.D', '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': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885459
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.E', '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': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885460
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.F', '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': 1562500, 'subgroup_tex': 'C_5^8.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 218885461
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.G', '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': 1562500, 'subgroup_tex': 'C_5^8.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 218885462
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1562500, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '32.22', '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': 1562500, 'subgroup_tex': 'C_5^8.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 218885463
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1562500, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 1562500, 'subgroup_tex': 'C_5^8.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 218885464
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885465
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885466
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.37', '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\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885467
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.37', '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\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885468
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.37', '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\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885470
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.37', '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\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885471
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.37', '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\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885472
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.37', '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\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885473
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.37', '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\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885474
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.37', '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\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885475
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 1562500, 'subgroup_tex': 'C_5^8.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 218885476
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.U', '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': 1562500, 'subgroup_tex': 'C_5^8.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 218885477
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.V', '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': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885478
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885479
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.37', '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\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885481
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.37', '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\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885482
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.37', '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\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885483
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.37', '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\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885484
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885485
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885486
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885487
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885488
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885489
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885490
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885492
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885493
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 218885494
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885495
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 218885496
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 218885497
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885498
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885499
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 218885500
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885501
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885503
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885504
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885505
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885506
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885507
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885508
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885509
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885510
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885511
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885512
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885515
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885516
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885517
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885518
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885519
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885520
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^2\\times C_5^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885521
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885522
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885523
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885524
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885526
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885527
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885528
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885529
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885530
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885531
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885532
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885533
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885534
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885535
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885537
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885538
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885539
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885540
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885541
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885542
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885543
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885544
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885545
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885546
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885548
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885549
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885550
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885551
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885552
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885553
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885554
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885555
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885556
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885557
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885559
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885560
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885561
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885562
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885563
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.32._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885564
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.64._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.88', '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_2^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885565
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.64._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.88', '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_2^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885566
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.64._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.247', '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_2^2\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885567
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 781250, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.64._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.D', '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': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885568
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.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': '64.247', '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_2^2\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885570
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.64._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.88', '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_2^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885571
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 781250, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.64._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.88', '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_2^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885572
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 390625, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 5, 'label': '50000000.qt.128.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1609', '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_2^3:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 390625, 'subgroup_tex': 'C_5^8', 'supersolvable': True, 'sylow': 5}
  • id: 218885573
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '400.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '400.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125000, 'subgroup_tex': 'C_5^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885574
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '400.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '400.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125000, 'subgroup_tex': 'C_5^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885575
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '400.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '400.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125000, 'subgroup_tex': 'C_5^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885576
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125000, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.400._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '400.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '400.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125000, 'subgroup_tex': 'C_5^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218885577
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '800.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '800.1193', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_5^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62500, 'subgroup_tex': 'C_5^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885578
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '800.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '800.1193', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_5^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62500, 'subgroup_tex': 'C_5^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885579
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '800.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '800.1193', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_5^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62500, 'subgroup_tex': 'C_5^5.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885581
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.800._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '800.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '800.1193', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_5^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62500, 'subgroup_tex': 'C_5^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885582
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.800._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '800.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '800.1193', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_5^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62500, 'subgroup_tex': 'C_5^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885583
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.800._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '800.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '800.1193', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_5^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62500, 'subgroup_tex': 'C_5^5.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885584
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.800._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '800.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '800.1193', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_5^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62500, 'subgroup_tex': 'C_5^5.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885585
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.800._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '800.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '800.1193', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_5^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62500, 'subgroup_tex': 'C_5^5.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885586
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.800._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '800.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '800.1193', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_5^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62500, 'subgroup_tex': 'C_5^5.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885587
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.800._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '800.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '800.1193', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_5^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62500, 'subgroup_tex': 'C_5^5.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885588
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.800._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '800.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '800.1193', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_5^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62500, 'subgroup_tex': 'C_5^5.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885589
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 62500, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.800._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '800.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '800.1193', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_5^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62500, 'subgroup_tex': 'C_5^5.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 218885590
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.1600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1600.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1600.10263', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1600, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{10}^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 31250, 'subgroup_tex': 'C_5^6:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885592
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.1600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1600.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1600.9832', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1600, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{10}^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 31250, 'subgroup_tex': 'C_5^6:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885593
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.1600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1600.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1600.9832', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1600, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{10}^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 31250, 'subgroup_tex': 'C_5^6:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885594
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.1600._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1600.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1600.9832', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1600, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{10}^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 31250, 'subgroup_tex': 'C_5^6:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885595
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.1600._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1600.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1600.10263', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1600, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{10}^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 31250, 'subgroup_tex': 'C_5^6:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885596
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.1600._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1600.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1600.9832', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1600, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{10}^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 31250, 'subgroup_tex': 'C_5^6:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885597
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.1600._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1600.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1600.9832', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1600, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{10}^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 31250, 'subgroup_tex': 'C_5^6:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885598
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.1600._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1600.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1600.10263', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1600, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{10}^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 31250, 'subgroup_tex': 'C_5^6:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885599
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.1600._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1600.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1600.9832', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1600, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{10}^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 31250, 'subgroup_tex': 'C_5^6:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885600
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.1600._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1600.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1600.9832', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1600, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{10}^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 31250, 'subgroup_tex': 'C_5^6:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885601
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.1600._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1600.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1600.10263', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1600, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{10}^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 31250, 'subgroup_tex': 'C_5^6:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885603
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 31250, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.1600._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1600.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1600.9832', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1600, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{10}^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 31250, 'subgroup_tex': 'C_5^6:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885604
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.3200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3200.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3200.go', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_{10}^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15625.11', 'subgroup_hash': None, 'subgroup_order': 15625, 'subgroup_tex': 'C_5^6', 'supersolvable': True, 'sylow': 0}
  • id: 218885605
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.3200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3200.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3200.go', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_{10}^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15625.11', 'subgroup_hash': None, 'subgroup_order': 15625, 'subgroup_tex': 'C_5^6', 'supersolvable': True, 'sylow': 0}
  • id: 218885606
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.3200._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3200.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3200.go', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_{10}^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15625.11', 'subgroup_hash': None, 'subgroup_order': 15625, 'subgroup_tex': 'C_5^6', 'supersolvable': True, 'sylow': 0}
  • id: 218885607
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.3200._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3200.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3200.go', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_{10}^2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15625.11', 'subgroup_hash': None, 'subgroup_order': 15625, 'subgroup_tex': 'C_5^6', 'supersolvable': True, 'sylow': 0}
  • id: 218885608
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2500, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20000._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20000.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20000.bk', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 20000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^2\\wr C_2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500, 'subgroup_tex': 'C_5^4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885609
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2500, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.20000._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20000.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20000.bk', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 20000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^2\\wr C_2:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500, 'subgroup_tex': 'C_5^4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885610
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.40000._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40000.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40000.bf', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 40000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'D_5^4.C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1250.54', 'subgroup_hash': None, 'subgroup_order': 1250, 'subgroup_tex': 'C_5^4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885611
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.40000._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40000.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40000.bf', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 40000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'D_5^4.C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1250.54', 'subgroup_hash': None, 'subgroup_order': 1250, 'subgroup_tex': 'C_5^4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885612
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.40000._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40000.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40000.mw', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 40000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^4:(C_2^2\\times \\OD_{16})', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1250.54', 'subgroup_hash': None, 'subgroup_order': 1250, 'subgroup_tex': 'C_5^4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885614
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.40000._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40000.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40000.bf', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 40000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'D_5^4.C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1250.54', 'subgroup_hash': None, 'subgroup_order': 1250, 'subgroup_tex': 'C_5^4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885615
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.40000._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40000.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40000.mw', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 40000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^4:(C_2^2\\times \\OD_{16})', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1250.54', 'subgroup_hash': None, 'subgroup_order': 1250, 'subgroup_tex': 'C_5^4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885616
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1250, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.40000._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40000.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40000.bf', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 40000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'D_5^4.C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1250.54', 'subgroup_hash': None, 'subgroup_order': 1250, 'subgroup_tex': 'C_5^4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218885617
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 625, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.80000._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80000.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80000.vv', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 80000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times D_5^4.C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '625.15', 'subgroup_hash': None, 'subgroup_order': 625, 'subgroup_tex': 'C_5^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885618
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 625, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.80000._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80000.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80000.vv', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 80000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times D_5^4.C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '625.15', 'subgroup_hash': None, 'subgroup_order': 625, 'subgroup_tex': 'C_5^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885619
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 625, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.80000._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80000.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80000.vv', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 80000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times D_5^4.C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '625.15', 'subgroup_hash': None, 'subgroup_order': 625, 'subgroup_tex': 'C_5^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885620
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 625, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.80000._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80000.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80000.lw', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 80000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5:D_5^3:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '625.15', 'subgroup_hash': None, 'subgroup_order': 625, 'subgroup_tex': 'C_5^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885621
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 625, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.80000._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80000.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80000.vv', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 80000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times D_5^4.C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '625.15', 'subgroup_hash': None, 'subgroup_order': 625, 'subgroup_tex': 'C_5^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885622
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 625, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.80000._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80000.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80000.lw', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 80000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5:D_5^3:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '625.15', 'subgroup_hash': None, 'subgroup_order': 625, 'subgroup_tex': 'C_5^4', 'supersolvable': True, 'sylow': 0}
  • id: 218885623
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.2000000._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '2000000.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2000000.bi', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 2000000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^6:(C_2^3:\\OD_{16})', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': None, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885626
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.2000000._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '2000000.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2000000.bi', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 2000000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^6:(C_2^3:\\OD_{16})', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': None, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885627
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.2000000._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '2000000.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2000000.bi', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 2000000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^6:(C_2^3:\\OD_{16})', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': None, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885628
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '50000000.qt.2000000._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '2000000.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2000000.bi', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 2000000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^6:(C_2^3:\\OD_{16})', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': None, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 218885629
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '50000000.qt', 'ambient_counter': 436, 'ambient_order': 50000000, 'ambient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 703, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '50000000.qt.50000000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '50000000.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '50000000.qt', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 50000000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^6.(C_2\\times C_{10}^2:\\OD_{16})', '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: 218885461
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 648477309786190981198628179068940254653798622839, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885462
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 1046417245634867895428989419790178479557799004, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885463
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 440681736525184703137102795979302731929245820893, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885464
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 230794444814791749109543828489290262571869355506, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885465
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 649495455547393513181914227949082722679770023613, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885466
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 439126804409993337049811913770723823689774614406, 230794444814791749109543828489290262571869355506, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218884958
    {'ambient': '50000000.qt', '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': [35367047974959191960690731910490, 911748349975248729504920554488349056096, 26584437368957304324849359192573702423, 2481793606933051681670490, 41869336903510576997941184846361065697608088960, 1046417237469589111830285085771227870427456596, 229776299096997537889741245833748070422270837743, 439636063300953131196667773553052274726369260256, 104675255707856353095398173061862774711268041023, 187768627233, 27439951662529757587489310507520, 33, 647475510142422447101370, 550557093373571574870727307584227866100782570, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218884959
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 550557102320020030616280357252173598235483389, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 1938901639558889517361920, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 128424084333753600, 104675255707856353095398173061862774711268041023, 229776299096997537889741245833748070422270837743, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218884960
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 439636063274368693827710628938488144322931999479, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218884961
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218884962
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 439636063274368693827710628938488144322931999479, 33, 2481793991075567870156160, 187768627290, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218884963
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 550557102320020030616280357252173598235483389, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218884964
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 231331224520075705764952413069162058742796441610, 1596967378493501284365531301632142561804107719, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218884965
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 550557102320020030616280357252173598235483389, 230794444840849924804633642243556345818397656309, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218884966
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975248729504920554488349056096, 33, 2481793991075567870156160, 27439951662529757587489310507520, 439636063300953131196667773553052274726369260256, 41869336903510576997941184846361065697608088960, 230794444840849924804633642243556345818397656309, 231331224520075705764952413069162058742796441610, 1596967378493501284365531301632142561804107719, 647475510142422447101370, 256806323086763520, 187768627290], 'label': '50000000.qt.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: 218885600
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975250563823017345372373376033, 231331231784761596575612235285083016068332718564, 41869336903510550788835709150514020364617131520, 27439951015054247445135360816480, 2481793606932957757440033, 647475766948396819883616, 2481793991075567870156160], 'label': '50000000.qt.1600._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1600.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218884967
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218884968
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218884969
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 229776292404884331161758494920982972464968446810], 'label': '50000000.qt.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: 218884970
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [33, 27439951662529757587489310507520, 439636063300953131196667773553052274726369260256, 229776299096997537889741245833748070422270837743, 26584437368957304324849359192573702423, 128424084333753600, 1596967378493501284365531301632142561804107719, 647475510142422447101370, 1938901639558889517361920, 911748349975248729504920554395901747233, 187768627290, 41869336903510550788835709150386684265357720960, 6987082920720447758208599717772436944600, 104675255707856353095398173061862774711268041023], 'label': '50000000.qt.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: 218884971
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776292404884331161758494920982972464968446810], 'label': '50000000.qt.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: 218884972
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 550557102320020030616280357252173598235483389, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218884973
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 231331224520075705764952413069162058742796441610, 1596967378493501284365531301632142561804107719, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218884974
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 550557102320020030616280357252173598235483389, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776292404884331161758494920982972464968446810], 'label': '50000000.qt.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: 218884975
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 231331224520075705764952413069162058742796441610, 1596967378493501284365531301632142561804107719, 229776292404884331161758494920982972464968446810], 'label': '50000000.qt.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: 218884976
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218884977
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218884978
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218884979
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218884980
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 1046417245634867895428989419790178479557799004, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218884981
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 550557102320020030616280357252173598235483389, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 1938901639558889517361920, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 128424084333753600, 104675255707856353095398173061862774711268041023, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218884982
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 230794444814791749109543828489290262571869355506, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218884983
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 1046417245634867895428989419790178479557799004, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218884984
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 230794444814791749109543828489290262571869355506, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218884985
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218884986
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975248729504920554488349056096, 33, 2481793991075567870156160, 27439951662529757587489310507520, 550557093373571574870727307584227866100782570, 41869336903510576997941184846361065697608088960, 439636063300953131196667773553052274726369260256, 230794444840849924804633642243556345818397656309, 1596967378493501284365531301632142561804107719, 647475510142422447101370, 256806323086763520, 187768627290], 'label': '50000000.qt.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: 218884987
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218884988
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 230794444840849924804633642243556345818397656309, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218884989
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309786190981198628179068940254653798622839, 649495455538447064726168570316256151446396686010, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218884990
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 440144945287639808977765884144376976855716101636, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218884991
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 550557102320020030616280357252173598235483389, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218884992
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [33, 27439951662529757587489310507520, 439636063300953131196667773553052274726369260256, 229776299096997537889741245833748070422270837743, 26584437368957304324849359192573702423, 128424084333753600, 1596967378493501284365531301632142561804107719, 647475510142422447101370, 1938901639558889517361920, 911748349975248729504920554395901747233, 187768627290, 1046417237469589111830285085771227870427456596, 41869336903510550788835709150386684265357720960, 104675255707856353095398173061862774711268041023], 'label': '50000000.qt.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: 218884993
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 440144945287639808977765884144376976855716101636, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218884994
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 105721672961894926706570015620875915473237851429, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218884995
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 439636063274368693827710628938488144322931999479, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 105721672961894926706570015620875915473237851429, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218884996
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 104675255716276539877276390755229762227435983400, 27439951662529757587489310507520, 105721672961894926706570015620875915473237851429, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218884997
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 606564773041330512295159415431328374541299833513, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 105721672961894926706570015620875915473237851429, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218884998
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [104675262095000919817216497210483116389022514029, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218884999
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [104675262095000919817216497210483116389022514029, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 439636063274368693827710628938488144322931999479, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885000
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [104675262095000919817216497210483116389022514029, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 105225812210221554546996762914496554462335168669, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885001
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [104675262095000919817216497210483116389022514029, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 606014218945594099595211024574874461335585189109, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885002
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 550557102320020030616280357252173598235483389, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885003
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [33, 27439951662529757587489310507520, 550557093373571574870727307584227866100782570, 229776299096997537889741245833748070422270837743, 439636063300953131196667773553052274726369260256, 1046417245634867895428989419790178479557799004, 128424084333753600, 1596967378493501284365531301632142561804107719, 647475510142422447101370, 1938901639558889517361920, 911748349975248729504920554395901747233, 187768627290, 41869336903510550788835709150386684265357720960, 104675255707856353095398173061862774711268041023], 'label': '50000000.qt.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: 218885004
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 550557102320020030616280357252173598235483389, 33, 2481793991075567870156160, 187768627290, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885005
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 550557102320020030616280357252173598235483389, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885006
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 550557102320020030616280357252173598235483389, 33, 2481793991075567870156160, 187768627290, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885007
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885008
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 439636063274368693827710628938488144322931999479, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885009
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885010
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 439636063274368693827710628938488144322931999479, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885011
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 229776299096997537889741245833748070422270837743, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885012
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 439636063274368693827710628938488144322931999479, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885013
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885014
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [33, 27439951662529757587489310507520, 550557093373571574870727307584227866100782570, 229776299096997537889741245833748070422270837743, 439636063300953131196667773553052274726369260256, 26584437368957304324849359192573702423, 128424084333753600, 1596967378493501284365531301632142561804107719, 647475510142422447101370, 911748349975248729504920554395901747233, 1938901639558889517361920, 187768627290, 41869336903510550788835709150386684265357720960, 104675255707856353095398173061862774711268041023], 'label': '50000000.qt.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: 218885015
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 439636063274368693827710628938488144322931999479, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885016
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 1046417245634867895428989419790178479557799004, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885017
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 440681736525184703137102795979302731929245820893, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885018
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 1046417245634867895428989419790178479557799004, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885019
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 440681736525184703137102795979302731929245820893, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885020
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 105225812236279730242086677931010022061003463066, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885021
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 439636063274368693827710628938488144322931999479, 33, 105225812236279730242086677931010022061003463066, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885022
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 1046417245634867895428989419790178479557799004, 33, 105225812236279730242086677931010022061003463066, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885023
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 440681736525184703137102795979302731929245820893, 33, 105225812236279730242086677931010022061003463066, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885024
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 104675255707856353095398173061862774711268041023, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885025
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [33, 27439951662529757587489310507520, 550557093373571574870727307584227866100782570, 229776299096997537889741245833748070422270837743, 439636063300953131196667773553052274726369260256, 128424084333753600, 1596967378493501284365531301632142561804107719, 647475510142422447101370, 1938901639558889517361920, 911748349975248729504920554395901747233, 187768627290, 1046417237469589111830285085771227870427456596, 41869336903510550788835709150386684265357720960, 104675255707856353095398173061862774711268041023], 'label': '50000000.qt.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: 218885026
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 439636063274368693827710628938488144322931999479, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 104675255707856353095398173061862774711268041023, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885027
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 1046417245634867895428989419790178479557799004, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 104675255707856353095398173061862774711268041023, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885028
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 440681736525184703137102795979302731929245820893, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 104675255707856353095398173061862774711268041023, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885029
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 104675255716276539877276390755229762227435983400, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885030
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 606564773041330512295159415431328374541299833513, 33, 2481793991075567870156160, 187768627290, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885031
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 105225812210221554546996762914496554462335168669, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885032
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 606014218945594099595211024574874461335585189109, 33, 2481793991075567870156160, 187768627290, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885033
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885034
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885035
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885036
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885037
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885038
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 105225812236279730242086677931010022061003463066, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885039
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 105225812236279730242086677931010022061003463066, 2481793991075567870156160, 187768627290, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885040
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 104675255707856353095398173061862774711268041023, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885041
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 104675255707856353095398173061862774711268041023, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885042
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885043
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 439636063274368693827710628938488144322931999479, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885044
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885045
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 439636063274368693827710628938488144322931999479, 33, 2481793991075567870156160, 187768627290, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885046
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885047
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 550557102320020030616280357252173598235483389, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885048
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309786190981198628179068940254653798622839, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885049
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 229776299087796181435716125472697154457929896920, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885050
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 648477309786190981198628179068940254653798622839, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885051
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 230794444840849924804633642243556345818397656309, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885052
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 439636063274368693827710628938488144322931999479, 230794444840849924804633642243556345818397656309, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885053
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885054
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 439636063274368693827710628938488144322931999479, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885055
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 230794444840849924804633642243556345818397656309, 33, 2481793991075567870156160, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885056
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 230794444840849924804633642243556345818397656309, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309786190981198628179068940254653798622839, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885057
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885058
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 104675255716276539877276390755229762227435983400, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885059
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309786190981198628179068940254653798622839, 649495455538447064726168570316256151446396686010, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885060
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885061
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 439636063274368693827710628938488144322931999479, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885062
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885063
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 439636063274368693827710628938488144322931999479, 33, 2481793991075567870156160, 187768627290, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885064
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885065
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309786190981198628179068940254653798622839, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885066
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 229776299087796181435716125472697154457929896920, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885067
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 648477309786190981198628179068940254653798622839, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885068
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 230794444840849924804633642243556345818397656309, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885069
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 33, 105225812236279730242086677931010022061003463066, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 1938901639558889517361920, 104675255716276539877276390755229762227435983400, 27439951662529757587489310507520, 105721672961894926706570015620875915473237851429, 1596967378493501284365531301632142561804107719, 128424084333753600, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885070
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 105225812210221554546996762914496554462335168669, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885071
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 439636063274368693827710628938488144322931999479, 230794444840849924804633642243556345818397656309, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885072
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885073
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 439636063274368693827710628938488144322931999479, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885074
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 230794444840849924804633642243556345818397656309, 33, 2481793991075567870156160, 187768627290, 439126804409993337049811913770723823689774614406, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885075
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975248729504920554488349056096, 33, 231331224528240984548551168034304701503966867213, 2481793991075567870156160, 27439951662529757587489310507520, 1596967351909063915408226976782783394657406896, 41869336903510576997941184846361065697608088960, 230794444840849924804633642243556345818397656309, 647475510142422447101370, 256806323086763520, 187768627290, 439126804409993337049811913770723823689774614406], 'label': '50000000.qt.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: 218885076
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 230794439330449065624398015530629665607962209275, 230794444840849924804633642243556345818397656309, 33, 2481793991075567870156160, 187768627290, 439126804409993337049811913770723823689774614406, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885077
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975248729504920554488349056096, 33, 230794439330449065624398015530629665607962209275, 2481793991075567870156160, 27439951662529757587489310507520, 1596967351909063915408226976782783394657406896, 41869336903510576997941184846361065697608088960, 230794444840849924804633642243556345818397656309, 647475510142422447101370, 256806323086763520, 187768627290, 439126804409993337049811913770723823689774614406], 'label': '50000000.qt.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: 218885078
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 230794444840849924804633642243556345818397656309, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885079
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975248729504920554488349056096, 33, 231331224528240984548551168034304701503966867213, 2481793991075567870156160, 27439951662529757587489310507520, 1596967351909063915408226976782783394657406896, 439636063300953131196667773553052274726369260256, 41869336903510576997941184846361065697608088960, 230794444840849924804633642243556345818397656309, 647475510142422447101370, 256806323086763520, 187768627290], 'label': '50000000.qt.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: 218885080
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 231331231185349550040660879012873542659429911036, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885081
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 229776299096997537889741245833748070422270837743, 6987082920720447758208599717772436944600, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885082
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975248729504920554488349056096, 33, 231331224528240984548551168034304701503966867213, 2481793991075567870156160, 27439951662529757587489310507520, 1596967351909063915408226976782783394657406896, 439636063300953131196667773553052274726369260256, 41869336903510576997941184846361065697608088960, 647475510142422447101370, 231331231185349550040660879012873542659429911036, 256806323086763520, 187768627290], 'label': '50000000.qt.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: 218885083
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 230794444840849924804633642243556345818397656309, 33, 2481793991075567870156160, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885084
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 230794444840849924804633642243556345818397656309, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309786190981198628179068940254653798622839, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885085
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 231331224528240984548551168034304701503966867213, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885086
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 550557102320020030616280357252173598235483389, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885087
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [27439951662529757587489310507520, 439636063300953131196667773553052274726369260256, 229776299096997537889741245833748070422270837743, 1596967378493501284365531301632142655728338029, 26584437368957304324849359192573702423, 9157942499263344915263815680000, 647475510142422447101370, 911748349975250563823017345279926067296, 1046417237469589111830285085771228032848915770, 41869336903510550788835709150514020364617131520, 550557397544596231564432516880607971623982570, 2481793606933145526067200, 93924230490], 'label': '50000000.qt.10._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885088
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [27439951662529757587209094571616, 1596967378493501284365531301632142467959710855, 550556216613400073149059392085943712367662570, 911748349975250563823017345372373376033, 647475510142167658166944, 439636062996765660862662687812161993952819180256, 26584437368957304324849359192573702423, 9157942499263344915263815680000, 229776299669570239057458910369965981466940277743, 41869336903510550788835709150514020364617131520, 1046417237469589111830285085771227777980147866, 2481793606932957757440033, 93924230490], 'label': '50000000.qt.10._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885089
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [1596967378493492159491637002214631940329167399, 187768627296, 33, 911748349975250563823017345372373376033, 18315078415603668334505701440090, 550557397544605389508769521031297201652133189, 439636062996765679177742290360598861518304851264, 271603972747907610584276100881597289597910984943, 41869336903510550788835709150514020364617131520, 9157942499263344915451584307296, 26584437368957304324849359192573702423, 2481793606933051681670490, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.10._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885090
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [35367050456752414751412438827610, 187768627296, 33, 911748349975250563823017345372373376033, 250669676289479129670049445730683678257180207343, 550556520003281299873722658627161257460375083, 9157942499263344915451584307296, 26584437368957304324849359192573702423, 439636062996765679177742290360598861518304851264, 1046417237469589111830285085771227870427456596, 2481793606933051681670490, 41869336903510550788835709150514020364617131520, 1596967378493519599443299429790334645058460839], 'label': '50000000.qt.10._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885091
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885092
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 550557102320020030616280357252173598235483389, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 6987082920720447758208599717772436944600, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885093
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885094
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885095
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 26584437368957304324849359192573702423, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885096
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885097
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885098
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885099
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 1046417245634867895428989419790178479557799004, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885100
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 230794444814791749109543828489290262571869355506, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885101
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 1046417245634867895428989419790178479557799004, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885102
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 440681736525184703137102795979302731929245820893, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885103
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 104675255716276539877276390755229762227435983400, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 6987082920720447758208599717772436944600, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885104
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 1046417245634867895428989419790178479557799004, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885105
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 440681736525184703137102795979302731929245820893, 33, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885106
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 550557102320020030616280357252173598235483389, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885107
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 231331224520075705764952413069162058742796441610, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885108
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 6995503107502325926445934683034509002223, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885109
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776292431468768530715639535547102879901746006], 'label': '50000000.qt.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: 218885110
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885111
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885112
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885113
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 440681736533349981920701449682197990372924035290, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885114
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 105225812210221554546996762914496554462335168669, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 6987082920720447758208599717772436944600, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885115
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885116
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 440681736533349981920701449682197990372924035290, 648477309794611167980506347306275219928404555616, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885117
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885118
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776292404884331161758494920982972464968446810], 'label': '50000000.qt.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: 218885119
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 550557093373571574870727307584227866100782570, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885120
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885121
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 26584437368957304324849359192573702423, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885122
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885123
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 440681736533349981920701449682197990372924035290, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885124
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 440681736533349981920701449682197990372924035290, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885125
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 105721672961894926706570015620875915473237851429, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885126
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885127
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 648477309786190981198628179068940254653798622839, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885128
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 440681736533349981920701449682197990372924035290, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885129
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 648477309786190981198628179068940254653798622839, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885130
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885131
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885132
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885133
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885134
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885135
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 648477309786190981198628179068940254653798622839, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885136
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 550557102320020030616280357252173598235483389, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 105721672961894926706570015620875915473237851429, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885137
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885138
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 648477309786190981198628179068940254653798622839, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885139
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 231331224520075705764952413069162058742796441610, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885140
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 230794439338614344407996665912613682879908954883, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885141
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 1596973435663821442484881025546745095736450719, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 231331224520075705764952413069162058742796441610, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885142
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 1596973435663821442484881025546745095736450719, 647475894284776292736090, 33, 230794439338614344407996665912613682879908954883, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885143
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 439126804409993337049811913770723823689774614406, 230794444814791749109543828489290262571869355506, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885144
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 439126804409993337049811913770723823689774614406, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 231331231211407725735750692767139625905958211844, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885145
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 439126804409993337049811913770723823689774614406, 41869336903510576997941184846361065697608088960, 230794444814791749109543828489290262571869355506, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885146
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 439126804409993337049811913770723823689774614406, 41869336903510576997941184846361065697608088960, 231331231211407725735750692767139625905958211844, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885147
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 104675255716276539877276390755229762227435983400, 105721672961894926706570015620875915473237851429, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885148
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 650032241917951358638021752693819631142878483283, 2481793606932957757440033, 27439951015054247445135360816480, 439126804436577774418769162968446579582435555210], 'label': '50000000.qt.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: 218885149
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 104675262095000919817216497210483116389022514029, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885150
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 550557102320020030616280357252173598235483389, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885151
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 550557102320020030616280357252173598235483389, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885152
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 439126804409993337049811913770723823689774614406, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885153
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 1596967351909063915408226976782783394657406896, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 439126804409993337049811913770723823689774614406, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885154
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885155
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 1596967351909063915408226976782783394657406896, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885156
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 550557093373571574870727307584227866100782570, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885157
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 550557093373571574870727307584227866100782570, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885158
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 105225812210221554546996762914496554462335168669, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 105721672961894926706570015620875915473237851429, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885159
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 105225812236279730242086677931010022061003463066, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885160
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 104675255707856353095398173061862774711268041023, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885161
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 550557102320020030616280357252173598235483389, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885162
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 550557102320020030616280357252173598235483389, 647475894284776292736090, 33, 187768627290, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885163
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 231331224520075705764952413069162058742796441610, 27439951015054247445135360816480, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885164
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  • id: 218885165
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 550557102320020030616280357252173598235483389, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885166
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 550557102320020030616280357252173598235483389, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885167
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 231331224520075705764952413069162058742796441610, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885168
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 231331224520075705764952413069162058742796441610, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885169
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [104675262095000919817216497210483116389022514029, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885170
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 439126804409993337049811913770723823689774614406, 2481793606932957757440033, 231331224520075705764952413069162058742796441610, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885171
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 230794439338614344407996665912613682879908954883, 187768627290, 439126804409993337049811913770723823689774614406, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885172
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 231331224520075705764952413069162058742796441610, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885173
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 230794439338614344407996665912613682879908954883, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885174
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 26584437368957304324849359192573702423, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885175
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885176
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 439126804409993337049811913770723823689774614406, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885177
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 1596967351909063915408226976782783394657406896, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 439126804409993337049811913770723823689774614406, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885178
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885179
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 1596973435663821442484881025546745095736450719, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885460
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885180
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  • id: 218885181
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [104675262095000919817216497210483116389022514029, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 550557102320020030616280357252173598235483389, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885182
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885183
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 648477309786190981198628179068940254653798622839, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885184
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 26584437368957304324849359192573702423, 229776292404884331161758494920982972464968446810], 'label': '50000000.qt.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: 218885185
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776292404884331161758494920982972464968446810], 'label': '50000000.qt.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: 218885186
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776292404884331161758494920982972464968446810], 'label': '50000000.qt.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: 218885187
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 648477309786190981198628179068940254653798622839, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776292404884331161758494920982972464968446810], 'label': '50000000.qt.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: 218885188
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 550557102320020030616280357252173598235483389, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885189
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 440144945287639808977765884144376976855716101636, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885190
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 231331224520075705764952413069162058742796441610, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885191
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 650032247349362348033132401363819110530379340844, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885192
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [104675262095000919817216497210483116389022514029, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 104675255716276539877276390755229762227435983400, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885193
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 439126804409993337049811913770723823689774614406, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 231331224520075705764952413069162058742796441610, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885194
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 230794439338614344407996665912613682879908954883, 187768627290, 439126804409993337049811913770723823689774614406, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885195
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 6995503107502325926445934683034509002223, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885196
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 6995503107502325926445934683034509002223, 648477309794611167980506347306275219928404555616, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885197
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 104675255716276539877276390755229762227435983400, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885198
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 105721672952948478250824411940084277563636065826, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885199
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 550557102320020030616280357252173598235483389, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776292404884331161758494920982972464968446810], 'label': '50000000.qt.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: 218885200
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 440144945287639808977765884144376976855716101636, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776292404884331161758494920982972464968446810], 'label': '50000000.qt.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: 218885201
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 231331224520075705764952413069162058742796441610, 27439951015054247445135360816480, 229776292404884331161758494920982972464968446810], 'label': '50000000.qt.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: 218885202
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 650032247349362348033132401363819110530379340844, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776292404884331161758494920982972464968446810], 'label': '50000000.qt.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: 218885203
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [104675262095000919817216497210483116389022514029, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 105225812210221554546996762914496554462335168669, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885204
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 550557093373571574870727307584227866100782570, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885205
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 550557093373571574870727307584227866100782570, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885206
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 550557093373571574870727307584227866100782570, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885207
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 550557093373571574870727307584227866100782570, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 648477309786190981198628179068940254653798622839, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885208
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885209
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885210
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 439126804409993337049811913770723823689774614406, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885211
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 439126804409993337049811913770723823689774614406, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885212
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885213
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 1596967351909063915408226976782783394657406896, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885214
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885215
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885216
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 648477309786190981198628179068940254653798622839, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885217
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 550557093373571574870727307584227866100782570, 911748349975248729504920554488349056096, 1046417245634867895428989419790178479557799004, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885218
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 550557093373571574870727307584227866100782570, 911748349975248729504920554488349056096, 647475894284776292736090, 440681736525184703137102795979302731929245820893, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885219
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 550557093373571574870727307584227866100782570, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 230794444814791749109543828489290262571869355506, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885220
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 550557093373571574870727307584227866100782570, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 649495455547393513181914227949082722679770023613, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885221
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 1046417245634867895428989419790178479557799004, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885222
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 440681736525184703137102795979302731929245820893, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885223
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 230794444814791749109543828489290262571869355506, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885224
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 649495455547393513181914227949082722679770023613, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885225
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 1046417245634867895428989419790178479557799004, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885226
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 105225812210221554546996762914496554462335168669, 33, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885227
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 104675262104202276271241512988375406862742686833, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885228
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776299096997537889741245833748070422270837743, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885229
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885230
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 230794444814791749109543828489290262571869355506, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885231
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 231331231211407725735750692767139625905958211844, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885232
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 550557093373571574870727307584227866100782570, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885233
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 550557093373571574870727307584227866100782570, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 440681736533349981920701449682197990372924035290, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885234
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 550557093373571574870727307584227866100782570, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885235
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 550557093373571574870727307584227866100782570, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885236
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 104675255716276539877276390755229762227435983400, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885237
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885238
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 440681736533349981920701449682197990372924035290, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885239
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885240
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885241
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 439126804409993337049811913770723823689774614406, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885242
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 439126804409993337049811913770723823689774614406, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885243
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885244
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 231331231185349550040660879012873542659429911036, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885245
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885246
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 1596967351909063915408226976782783394657406896, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885247
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 105721672952948478250824411940084277563636065826, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885248
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885249
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480, 439126804436577774418769162968446579582435555210], 'label': '50000000.qt.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: 218885250
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 231331231185349550040660879012873542659429911036, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885251
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 1596967351909063915408226976782783394657406896, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 231331231185349550040660879012873542659429911036, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885252
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 231331231185349550040660879012873542659429911036, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885253
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 231331231185349550040660879012873542659429911036, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480, 439126804436577774418769162968446579582435555210], 'label': '50000000.qt.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: 218885254
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885255
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 1596967351909063915408226976782783394657406896, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885256
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885257
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480, 439126804436577774418769162968446579582435555210], 'label': '50000000.qt.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: 218885258
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 105225812236279730242086677931010022061003463066, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885259
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 650032241917951358638021752693819631142878483283, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885260
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 1596967351909063915408226976782783394657406896, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 650032241917951358638021752693819631142878483283, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885261
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 650032241917951358638021752693819631142878483283, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885262
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 650032241917951358638021752693819631142878483283, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480, 439126804436577774418769162968446579582435555210], 'label': '50000000.qt.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: 218885263
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885264
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 1596967351909063915408226976782783394657406896, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885265
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885266
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 439126804436577774418769162968446579582435555210], 'label': '50000000.qt.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: 218885267
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 231331231185349550040660879012873542659429911036, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885268
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 1596967351909063915408226976782783394657406896, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 231331231185349550040660879012873542659429911036, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885269
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 1046417245634867895428989419790178479557799004, 647475894284776292736090, 33, 105225812236279730242086677931010022061003463066, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885270
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 231331231185349550040660879012873542659429911036, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885271
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 231331231185349550040660879012873542659429911036, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 439126804436577774418769162968446579582435555210], 'label': '50000000.qt.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: 218885272
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885273
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 1596967351909063915408226976782783394657406896, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885274
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885275
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 27439951015054247445135360816480, 439126804436577774418769162968446579582435555210], 'label': '50000000.qt.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: 218885276
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 650032241917951358638021752693819631142878483283, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885277
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 1596967351909063915408226976782783394657406896, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 650032241917951358638021752693819631142878483283, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885278
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 650032241917951358638021752693819631142878483283, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885279
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 105721672961894926706570015620875915473237851429, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885601
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [439126804409993355364888495056295367217525493709, 911748349975250563823017345372373376033, 41869336903510550788835709150514020364617131520, 1938901255416373248000090, 1294848838399991815987233, 27439953496848238520795677872480, 9157944438164216189563433573793], 'label': '50000000.qt.1600._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1600.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885280
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 105225812236279730242086677931010022061003463066, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 104675255716276539877276390755229762227435983400, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885281
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  • id: 218885282
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [27439951662529757587209094571553, 439636063300953131196667773553052274726369260256, 2481793606933306470604864, 1596967378493501284365531301632142655728338055, 1046417237469589111830285085771228032848915829, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 35367047974959191960596807680000, 348713164890, 229776299400387392874287947215295022069502837743, 647475510142073733936513, 26584437368957304324849359192573702423], 'label': '50000000.qt.20._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885283
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [439636063300953131196665291759445341768611820256, 35367049269807646217978512176570, 18315078415603668334505701440090, 26584437368957304324849359192573702423, 1596967378493501284365531301632142561804107623, 911748349975248729504920554395901747233, 229776298792826513233045702883261773928190837743, 1046417237469589111830285085771227870427456629, 9157943794111799172739444800033, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 187768627233], 'label': '50000000.qt.20._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885284
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [210947484868199897866380341713370222866275708143, 35367050456752414751412438827610, 33, 439636062120021962478202225216825281287649667713, 26584437368957304324849359192573702423, 911748349975248729504920554395901747233, 1046417237469589111830285085771227870427456596, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 1596967378493519599443299429790334645058460839, 187768627233], 'label': '50000000.qt.20._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885285
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142353949872480, 1596967378493501284365531301632142307015173223, 911748349975248729504920554488349056096, 27439951662529757587489310507520, 229776299400387392874287947215295022069502837743, 1046417237469589111830285085771228126693312570, 439636062692594636205967788914092714027939820256, 2481793606933051681670490, 348713164890, 41869336903510550788835709150386684265357720960, 35367047974959191960596807680000, 550557102320020030616280357252173598235483389], 'label': '50000000.qt.20._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885286
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [27439951662529757587209094571553, 2481793606933306470604864, 550557102320020030616280357252173598235483389, 439636062996765660862662040438833736222504940256, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 35367047974959191960596807680000, 348713164890, 647475510142073733936513, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.20._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885287
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [439636063300953131196665291759445341768611820256, 187768627233, 1046417237469589111830285085771227870427456666, 550557102320020030616280357252173598235483389, 229776299400387392874289886116550438442750837743, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 18315078415603668334505701440090, 1596967378493501284365531301632142561804107629, 35367049269807646217978512176570, 35367047974959191960690731910490, 9157943794111799172739444800033], 'label': '50000000.qt.20._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885288
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [35367050456752414751412438827610, 33, 439636063300953131196667773553052274726369260256, 229776299096997537889741245833748070422270837743, 911748349975248729504920554395901747233, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 1596967378493510441499508741084287852783703079, 550557102320020030616280357252173598235483389, 187768627233, 1046417237469598269773974716593659464065596116], 'label': '50000000.qt.20._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885289
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142353949872480, 911748349975248729504920554488349056096, 27439951662529757587489310507520, 6110339194896035740987575284548511184600, 26584437368957304324849359192573702423, 439636062692594636205967788914092714027939820256, 2481793606933051681670490, 348713164890, 41869336903510550788835709150386684265357720960, 1596967378493501284365531301632142375512402086, 35367047974959191960596807680000, 229776298488639042899042346979491542892860277743], 'label': '50000000.qt.20._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885290
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [27439951662529757587209094571553, 439636063300953131196667773553052274726369260256, 2481793606933306470604864, 1596967378493501284365531301632142655728338055, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 35367047974959191960596807680000, 6379522041079202927499800911184143824600, 348713164890, 229776299400387392874287947215295022069502837743, 647475510142073733936513, 26584437368957304324849359192573702423], 'label': '50000000.qt.20._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885291
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 33, 105225812236279730242086677931010022061003463066, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 1938901639558889517361920, 104675255716276539877276390755229762227435983400, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 128424084333753600, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885292
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 105721672952948478250824411940084277563636065826, 33, 105225812236279730242086677931010022061003463066, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885293
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [439636063300953131196665291759445341768611820256, 35367049269807646217978512176570, 18315078415603668334505701440090, 26584437368957304324849359192573702423, 1596967378493501284365531301632142561804107623, 911748349975248729504920554395901747233, 229776298792826513233045702883261773928190837743, 9157943794111799172739444800033, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 6987082920720448405581927975502751184600, 187768627233], 'label': '50000000.qt.20._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885294
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [35367050456752414751412438827610, 33, 6110339213211113509217915361229973353656, 439636063300953131196667773553052274726369260256, 229776299096997537889741245833748070422270837743, 26584437368957304324849359192573702423, 911748349975248729504920554395901747233, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 1596967378493510441499508741084287852783703079, 187768627233], 'label': '50000000.qt.20._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885295
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142353949872480, 1596967378493501284365531301632142307015173223, 911748349975248729504920554488349056096, 27439951662529757587489310507520, 6110339194896035740987575284548511184600, 229776299400387392874287947215295022069502837743, 439636062692594636205967788914092714027939820256, 2481793606933051681670490, 348713164890, 41869336903510550788835709150386684265357720960, 35367047974959191960596807680000, 550557102320020030616280357252173598235483389], 'label': '50000000.qt.20._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885296
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  • id: 218885297
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [439636063300953131196665291759445341768611820256, 1596967378493501284365531301632142561804107629, 35367049269807646217978512176570, 18315078415603668334505701440090, 911748349975248729504920554395901747233, 35367047974959191960690731910490, 9157943794111799172739444800033, 41869336903510550788835709150386684265357720960, 550557102320020030616280357252173598235483389, 229776299400387392874289886116550438442750837743, 6987082920720448405581927975502751184600, 187768627233], 'label': '50000000.qt.20._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885298
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [35367050456752414751412438827610, 33, 6110339213211113509217915361229973353656, 439636063300953131196667773553052274726369260256, 229776299096997537889741245833748070422270837743, 911748349975248729504920554395901747233, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 1596967378493510441499508741084287852783703079, 550557102320020030616280357252173598235483389, 187768627233], 'label': '50000000.qt.20._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885299
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142353949872480, 911748349975248729504920554488349056096, 439636062692594636205967788914092714027939820256, 550556216613400073150350920013102355301422570, 41869336903510550788835709150386684265357720960, 35367047974959191960596807680000, 348713164890, 229776298488639042899042346979491542892860277743, 27439951662529757587489310507520, 1596967378493501284365531301632142375512402086, 26584437368957304324849359192573702423, 2481793606933051681670490], 'label': '50000000.qt.20._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885300
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [27439951662529757587209094571553, 439636063300953131196667773553052274726369260256, 2481793606933306470604864, 1596967378493501284365531301632142655728338055, 550556824190725391700408205330285037863982570, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 35367047974959191960596807680000, 348713164890, 229776299400387392874287947215295022069502837743, 647475510142073733936513, 26584437368957304324849359192573702423], 'label': '50000000.qt.20._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885301
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [439636063300953131196665291759445341768611820256, 35367049269807646217978512176570, 18315078415603668334505701440090, 26584437368957304324849359192573702423, 1596967378493501284365531301632142561804107623, 911748349975248729504920554395901747233, 550557093373571574869536939722569207858222570, 229776298792826513233045702883261773928190837743, 9157943794111799172739444800033, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 187768627233], 'label': '50000000.qt.20._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885302
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [35367050456752414751412438827610, 33, 550557093373571574870727307584227866100782570, 229776299096997537889741245833748070422270837743, 439636063300953131196667773553052274726369260256, 26584437368957304324849359192573702423, 911748349975248729504920554395901747233, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 1596967378493510441499508741084287852783703079, 187768627233], 'label': '50000000.qt.20._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885303
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 104675255707856353095398173061862774711268041023, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885304
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142353949872480, 911748349975248729504920554488349056096, 1046417245634867895428989419790178479557799004, 439636062692594636205967788914092714027939820256, 550556216613400073150350920013102355301422570, 41869336903510550788835709150386684265357720960, 35367047974959191960596807680000, 348713164890, 229776298488639042899042346979491542892860277743, 27439951662529757587489310507520, 1596967378493501284365531301632142375512402086, 2481793606933051681670490], 'label': '50000000.qt.20._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885305
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [1046417245634867895428989419790178479557799004, 647475510142073733936513, 911748349975248729504920554395901747233, 27439951662529757587209094571553, 550556520003255057697699674888311732847662570, 439636062389204781221417209730034929634211820256, 41869336903510550788835709150386684265357720960, 348713164890, 1596967378493501284365531301632142375512402086, 35367047974959191960596807680000, 2481793606933306470604864, 229776298488639042899042346979491542892860277743], 'label': '50000000.qt.20._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885306
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [550557093373571574868889566394311477543982570, 439636063300953131196665291759445341768611820256, 187768627233, 1046417245634867895428989419790178479557799004, 229776299400387392874289886116550438442750837743, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 18315078415603668334505701440090, 1596967378493501284365531301632142561804107629, 35367049269807646217978512176570, 35367047974959191960690731910490, 9157943794111799172739444800033], 'label': '50000000.qt.20._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885307
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [210947484868199897866380341713370222866275708143, 35367050456752414751412438827610, 33, 439636062120021962478202225216825281287649667713, 550556216613417158189166035117231666675331044, 1046417245634867895428989419790178479557799004, 911748349975248729504920554395901747233, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 1596967378493519599443299429790334645058460839, 187768627233], 'label': '50000000.qt.20._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885308
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142353949872480, 911748349975248729504920554488349056096, 439636062692594636205967788914092714027939820256, 550556216613400073150350920013102355301422570, 41869336903510550788835709150386684265357720960, 35367047974959191960596807680000, 348713164890, 229776298488639042899042346979491542892860277743, 27439951662529757587489310507520, 1596967378493501284365531301632142375512402086, 2481793606933051681670490, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.20._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885309
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [27439951662529757587209094571553, 2481793606933306470604864, 550556216613400073150350920013102355301422570, 439636062996765660862662040438833736222504940256, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 35367047974959191960596807680000, 348713164890, 647475510142073733936513, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.20._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885310
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [439636063300953131196665291759445341768611820256, 35367049269807646217978512176570, 18315078415603668334505701440090, 229776298488639042899041804087140026308350837743, 550557093373571574871371360001244435301422570, 911748349975248729504920554395901747233, 1596967378493501284365531301632142561804107655, 1046417237469589111830285085771227870427456596, 9157943794111799172739444800033, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 187768627233], 'label': '50000000.qt.20._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885311
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [210947484868199897866380341713370222866275708143, 35367050456752414751412438827610, 33, 439636062120021962478202225216825281287649667713, 550556216613417158189166035117231666675331044, 911748349975248729504920554395901747233, 1046417237469589111830285085771227870427456596, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 1596967378493519599443299429790334645058460839, 187768627233], 'label': '50000000.qt.20._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885312
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142353949872480, 911748349975248729504920554488349056096, 439636062692594636205967788914092714027939820256, 550556216613400073150350920013102355301422570, 41869336903510550788835709150386684265357720960, 35367047974959191960596807680000, 348713164890, 27439951662529757587489310507520, 1596967378493501284365531301632142375512402086, 26584437368957304324849359192573702423, 2481793606933051681670490, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.20._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885313
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [27439951662529757587209094571553, 439636063300953131196667773553052274726369260256, 2481793606933306470604864, 1596967378493501284365531301632142655728338055, 550556824190725391700408205330285037863982570, 1046417237469589111830285085771228032848915829, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 35367047974959191960596807680000, 348713164890, 647475510142073733936513, 26584437368957304324849359192573702423], 'label': '50000000.qt.20._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885314
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 1046417245634867895428989419790178479557799004, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 104675255707856353095398173061862774711268041023, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885315
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [439636063300953131196665291759445341768611820256, 35367049269807646217978512176570, 18315078415603668334505701440090, 26584437368957304324849359192573702423, 1596967378493501284365531301632142561804107623, 911748349975248729504920554395901747233, 550557093373571574869536939722569207858222570, 1046417237469589111830285085771227870427456629, 9157943794111799172739444800033, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 187768627233], 'label': '50000000.qt.20._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885316
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [35367050456752414751412438827610, 33, 439636062120021962478202225216825281287649667713, 550556216613417158189166035117231666675331044, 26584437368957304324849359192573702423, 911748349975248729504920554395901747233, 1046417237469589111830285085771227870427456596, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 1596967378493519599443299429790334645058460839, 187768627233], 'label': '50000000.qt.20._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885317
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [550557093373571574870727307584227866100782570, 647475510142353949872480, 911748349975248729504920554488349056096, 439636062692594636205967788914092714027939820256, 1046417237469589111830285085771227777980147835, 229776299087796181435716125472697154457929896920, 41869336903510550788835709150386684265357720960, 35367047974959191960596807680000, 348713164890, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 2481793606933051681670490], 'label': '50000000.qt.20._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885318
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142073733936513, 911748349975248729504920554395901747233, 1046417237469589111830285085771227964351687066, 27439951662529757587209094571553, 550556520003255057697699674888311732847662570, 439636062389204781221417209730034929634211820256, 229776299087796181435716125472697154457929896920, 348713164890, 41869336903510550788835709150386684265357720960, 1596967378493501284365531301632142375512402086, 35367047974959191960596807680000, 2481793606933306470604864], 'label': '50000000.qt.20._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885319
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [439636063300953131196665291759445341768611820256, 1046417237469589111830285085771227870427456570, 35367049269807646217978512176570, 18315078415603668334505701440090, 1596967378493501284365531301632142561804107719, 911748349975248729504920554395901747233, 35367047974959191960690731910490, 9157943794111799172739444800033, 229776299087796181435716125472697154457929896920, 41869336903510550788835709150386684265357720960, 550557093373571574870079832074085792367662570, 187768627233], 'label': '50000000.qt.20._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885320
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [35367050456752414751412438827610, 33, 550557093373571574870727307584227866100782570, 439636063300953131196667773553052274726369260256, 911748349975248729504920554395901747233, 35367047974959191960690731910490, 229776299087796181435716125472697154457929896920, 2481793606933051681670490, 41869336903510550788835709150386684265357720960, 1596967378493510441499508741084287852783703079, 187768627233, 1046417237469598269773974716593659464065596116], 'label': '50000000.qt.20._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885321
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142353949872480, 911748349975248729504920554488349056096, 27439951662529757587489310507520, 26584437368957304324849359192573702423, 230794444233272599486078621371025297220320216309, 439636062692594636205967788914092714027939820256, 2481793606933051681670490, 348713164890, 41869336903510550788835709150386684265357720960, 1596967378493501284365531301632142375512402086, 35367047974959191960596807680000, 550556216613400073150350920013102355301422570], 'label': '50000000.qt.20._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885322
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [27439951662529757587209094571553, 439636063300953131196667773553052274726369260256, 2481793606933306470604864, 1596967378493501284365531301632142655728338055, 550556824190725391700408205330285037863982570, 230794444233272599486078621371025297220320216309, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 35367047974959191960596807680000, 348713164890, 647475510142073733936513, 26584437368957304324849359192573702423], 'label': '50000000.qt.20._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885323
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [439636063300953131196665291759445341768611820256, 35367049269807646217978512176570, 18315078415603668334505701440090, 26584437368957304324849359192573702423, 1596967378493501284365531301632142561804107623, 911748349975248729504920554395901747233, 550557093373571574869536939722569207858222570, 35367047974959191960690731910490, 9157943794111799172739444800033, 41869336903510550788835709150386684265357720960, 187768627233, 230794445110032770987802123604620372258077656309], 'label': '50000000.qt.20._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885324
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [35367050456752414751412438827610, 33, 230794444840849924804633642243556345818397656309, 439636062389204790379362190786602635433442060890, 26584437368957304324849359192573702423, 1596967378493484232393490152885725655066568999, 911748349975248729504920554395901747233, 550556824190716266829646495941090702835724133, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 187768627233], 'label': '50000000.qt.20._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885325
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 550557102320020030616280357252173598235483389, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 104675255707856353095398173061862774711268041023, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885326
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142353949872480, 911748349975248729504920554488349056096, 27439951662529757587489310507520, 550557093373571574870727307584227866100782570, 230794444233272599486078621371025297220320216309, 1596967378493501284365531301632142561804107719, 439636062692594636205967788914092714027939820256, 2481793606933051681670490, 348713164890, 41869336903510550788835709150386684265357720960, 229776299087796181435716125472697154457929896920, 35367047974959191960596807680000], 'label': '50000000.qt.20._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885327
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [230794444536662454470628553181754823883733976309, 647475510142073733936513, 911748349975248729504920554395901747233, 27439951662529757587209094571553, 550556520003255057697699674888311732847662570, 439636062389204781221417209730034929634211820256, 229776299087796181435716125472697154457929896920, 348713164890, 41869336903510550788835709150386684265357720960, 1596967378493501284365531301632142375512402086, 35367047974959191960596807680000, 2481793606933306470604864], 'label': '50000000.qt.20._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885328
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [439636063300953131196665291759445341768611820256, 187768627233, 230794444840849924804633642243556345818397656309, 550557093373571574870079832074085792367662570, 229776299087796181435716125472697154457929896920, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 18315078415603668334505701440090, 35367049269807646217978512176570, 1596967378493501284365531301632142561804107719, 35367047974959191960690731910490, 9157943794111799172739444800033], 'label': '50000000.qt.20._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885329
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [291492595973158106458885921932545913202206558709, 35367050456752414751412438827610, 33, 550557093373571574870727307584227866100782570, 439636063300953131196667773553052274726369260256, 911748349975248729504920554395901747233, 35367047974959191960690731910490, 229776299087796181435716125472697154457929896920, 2481793606933051681670490, 41869336903510550788835709150386684265357720960, 1596967378493510441499508741084287852783703079, 187768627233], 'label': '50000000.qt.20._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885330
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142353949872480, 911748349975248729504920554488349056096, 27439951662529757587489310507520, 26584437368957304324849359192573702423, 1046417237469589111830285085771227870427456596, 439636062692594636205967788914092714027939820256, 2481793606933051681670490, 348713164890, 41869336903510550788835709150386684265357720960, 1596967378493501284365531301632142375512402086, 35367047974959191960596807680000, 231331224528240984548551168034304701155253702450], 'label': '50000000.qt.20._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885331
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [27439951662529757587209094571553, 439636063300953131196667773553052274726369260256, 2481793606933306470604864, 1596967378493501284365531301632142655728338055, 1046417237469589111830285085771228032848915829, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 35367047974959191960596807680000, 348713164890, 231331224528240984548551168034304701503966867213, 647475510142073733936513, 26584437368957304324849359192573702423], 'label': '50000000.qt.20._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885332
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [439636063300953131196665291759445341768611820256, 231331224528240984548551168034304701503966867213, 35367049269807646217978512176570, 18315078415603668334505701440090, 26584437368957304324849359192573702423, 1596967378493501284365531301632142561804107623, 911748349975248729504920554395901747233, 1046417237469589111830285085771227870427456629, 35367047974959191960690731910490, 9157943794111799172739444800033, 41869336903510550788835709150386684265357720960, 187768627233], 'label': '50000000.qt.20._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885333
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [35367050456752414751412438827610, 33, 231331224528240984548551168034304701503966867213, 439636062120021962478202225216825281287649667713, 26584437368957304324849359192573702423, 911748349975248729504920554395901747233, 1046417237469589111830285085771227870427456596, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 1596967378493519599443299429790334645058460839, 187768627233], 'label': '50000000.qt.20._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885334
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142353949872480, 911748349975248729504920554488349056096, 439636062692594636205967788914092714027939820256, 1046417237469589111830285085771227777980147835, 229776299087796181435716125472697154457929896920, 41869336903510550788835709150386684265357720960, 35367047974959191960596807680000, 348713164890, 231331224528240984548551168034304701247701011309, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 2481793606933051681670490], 'label': '50000000.qt.20._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885335
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142073733936513, 1046417237469589111830285085771227964351687066, 911748349975248729504920554395901747233, 27439951662529757587209094571553, 439636062389204781221417209730034929634211820256, 229776299087796181435716125472697154457929896920, 348713164890, 41869336903510550788835709150386684265357720960, 1596967378493501284365531301632142375512402086, 35367047974959191960596807680000, 231331224528240984548551168034304701155253702450, 2481793606933306470604864], 'label': '50000000.qt.20._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885336
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 6995503107502325926445934683034509002223, 1596967378493501284365531301632142561804107719, 104675255707856353095398173061862774711268041023, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885337
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [439636063300953131196665291759445341768611820256, 231331224528240984548551168034304701503966867213, 1046417237469589111830285085771227870427456570, 35367049269807646217978512176570, 18315078415603668334505701440090, 1596967378493501284365531301632142561804107719, 911748349975248729504920554395901747233, 35367047974959191960690731910490, 9157943794111799172739444800033, 229776299087796181435716125472697154457929896920, 41869336903510550788835709150386684265357720960, 187768627233], 'label': '50000000.qt.20._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885338
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [35367050456752414751412438827610, 33, 231331224528240984548551168034304701503966867213, 439636063300953131196667773553052274726369260256, 911748349975248729504920554395901747233, 35367047974959191960690731910490, 229776299087796181435716125472697154457929896920, 2481793606933051681670490, 41869336903510550788835709150386684265357720960, 1596967378493510441499508741084287852783703079, 187768627233, 1046417237469598269773974716593659464065596116], 'label': '50000000.qt.20._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885339
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142353949872480, 911748349975248729504920554488349056096, 27439951662529757587489310507520, 26584437368957304324849359192573702423, 230794444233272599486078621371025297220320216309, 439636062692594636205967788914092714027939820256, 2481793606933051681670490, 348713164890, 41869336903510550788835709150386684265357720960, 1596967378493501284365531301632142375512402086, 35367047974959191960596807680000, 231331224528240984548551168034304701155253702450], 'label': '50000000.qt.20._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885340
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [27439951662529757587209094571553, 439636063300953131196667773553052274726369260256, 2481793606933306470604864, 1596967378493501284365531301632142655728338055, 230794444233272599486078621371025297220320216309, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 35367047974959191960596807680000, 348713164890, 231331224528240984548551168034304701503966867213, 647475510142073733936513, 26584437368957304324849359192573702423], 'label': '50000000.qt.20._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885341
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  • id: 218885342
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [35367050456752414751412438827610, 33, 231331224528240984548551168034304701503966867213, 230794444840849924804633642243556345818397656309, 439636062389204790379362190786602635433442060890, 26584437368957304324849359192573702423, 1596967378493484232393490152885725655066568999, 911748349975248729504920554395901747233, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 187768627233], 'label': '50000000.qt.20._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885343
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142353949872480, 911748349975248729504920554488349056096, 27439951662529757587489310507520, 231331224528240984548551168034304701247701011309, 230794444233272599486078621371025297220320216309, 1596967378493501284365531301632142561804107719, 439636062692594636205967788914092714027939820256, 2481793606933051681670490, 348713164890, 41869336903510550788835709150386684265357720960, 229776299087796181435716125472697154457929896920, 35367047974959191960596807680000], 'label': '50000000.qt.20._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885344
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [230794444536662454470628553181754823883733976309, 647475510142073733936513, 911748349975248729504920554395901747233, 27439951662529757587209094571553, 439636062389204781221417209730034929634211820256, 229776299087796181435716125472697154457929896920, 348713164890, 41869336903510550788835709150386684265357720960, 1596967378493501284365531301632142375512402086, 35367047974959191960596807680000, 231331224528240984548551168034304701155253702450, 2481793606933306470604864], 'label': '50000000.qt.20._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885345
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [439636063300953131196665291759445341768611820256, 187768627233, 230794444840849924804633642243556345818397656309, 229776299087796181435716125472697154457929896920, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 18315078415603668334505701440090, 231331224528240984548551168034304701503966867213, 35367049269807646217978512176570, 1596967378493501284365531301632142561804107719, 35367047974959191960690731910490, 9157943794111799172739444800033], 'label': '50000000.qt.20._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885346
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [291492595973158106458885921932545913202206558709, 35367050456752414751412438827610, 33, 231331224528240984548551168034304701503966867213, 439636063300953131196667773553052274726369260256, 911748349975248729504920554395901747233, 35367047974959191960690731910490, 229776299087796181435716125472697154457929896920, 2481793606933051681670490, 41869336903510550788835709150386684265357720960, 1596967378493510441499508741084287852783703079, 187768627233], 'label': '50000000.qt.20._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885347
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885348
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [35367049269807646217978512176570, 18315078415603668334505701440090, 26584437368957304324849359192573702423, 1596967378493501284365531301632142561804107623, 911748349975248729504920554395901747233, 550557093373571574869536939722569207858222570, 229776298792826513233045702883261773928190837743, 1046417237469589111830285085771227870427456629, 9157943794111799172739444800033, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 187768627233], 'label': '50000000.qt.20._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885349
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [33, 250669676289479129670049445730683678257180207343, 18315078415603668334505701440090, 26584437368957304324849359192573702423, 1596967378493492159491637002214631940329167399, 911748349975248729504920554395901747233, 550556824190716266829646495941090702835724133, 1046417237469589111830285085771227870427456596, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 187768627233], 'label': '50000000.qt.20._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885350
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [210947484868199897866380341713370222866275708143, 35367050456752414751412438827610, 33, 550556216613417158189166035117231666675331044, 26584437368957304324849359192573702423, 911748349975248729504920554395901747233, 1046417237469589111830285085771227870427456596, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 1596967378493519599443299429790334645058460839, 187768627233], 'label': '50000000.qt.20._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885351
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142422447101370, 187768627233, 1046417237469589111830285085771227870427456666, 1596967378493501284365531301632142561804107686, 550557093373571574870079832074085792367662570, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 647475510142422446284890, 27439951662529757587489310507520, 26584437368957304324849359192573702423, 229776299096997537889741245833748070422270837743, 35367047974959191960690731910490], 'label': '50000000.qt.20._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885352
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142353949872480, 911748349975248729504920554488349056096, 550556216613400073150350920013102355301422570, 41869336903510550788835709150386684265357720960, 35367047974959191960596807680000, 348713164890, 229776298488639042899042346979491542892860277743, 27439951662529757587489310507520, 1596967378493501284365531301632142375512402086, 26584437368957304324849359192573702423, 2481793606933051681670490, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.20._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885353
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [27439951662529757587209094571553, 2481793606933306470604864, 1596967378493501284365531301632142655728338055, 550556824190725391700408205330285037863982570, 1046417237469589111830285085771228032848915829, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 35367047974959191960596807680000, 348713164890, 229776299400387392874287947215295022069502837743, 647475510142073733936513, 26584437368957304324849359192573702423], 'label': '50000000.qt.20._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885354
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [187768627233, 33, 911748349975248729504920554395901747233, 42378974730937233229784956518648334154415747050, 62253455258201204877389985867990074197122498599, 271603972747907601427142123441658564093063811823, 81591528324789773434561774435608312182784792960, 81591528324789791749640190039276646663059064410, 41869336903510576997941184846361065885376716193, 26584437368957304324849359192573702423, 2481793606933051681670490, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.20._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885355
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [187768627233, 33, 210947484259841402875682086911888868409659642703, 9157943146738727721518507184480, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 550556520003272142737158842281033529091118570, 1596967378493484232395971946595096523618821223, 9157943146738599338999539115553, 26584437368957304324849359192573702423, 2481793606933051681670490, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.20._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885356
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  • id: 218885357
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [33, 250669676289479129670049445730683678257180207343, 18315078415603668334505701440090, 1596967378493492159491637002214631940329167399, 911748349975248729504920554395901747233, 550556824190716266829646495941090702835724133, 1046417237469589111830285085771227870427456596, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 439636062701796028027041482253429568037237041943, 187768627233], 'label': '50000000.qt.20._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885358
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 105721672961894926706570015620875915473237851429, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885359
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [35367050456752414751412438827610, 33, 550557093373571574870727307584227866100782570, 229776299096997537889741245833748070422270837743, 439636063274368693827710628938488144322931999479, 911748349975248729504920554395901747233, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 1596967378493510441499508741084287852783703079, 187768627233, 1046417237469598269773974716593659464065596116], 'label': '50000000.qt.20._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885360
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142422447101370, 187768627233, 439636063274368693827710628938488144322931999479, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 647475510142422446284890, 550557093373571574871371360001244435301422570, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776298792826513233045702883261773928190837743, 35367047974959191960690731910490, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.20._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885361
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [550557093373571574870727307584227866100782570, 647475510142353949872480, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 229776299669570239057457723425197448313230197743, 1046417237469589111830285085771227777980147835, 41869336903510550788835709150386684265357720960, 35367047974959191960596807680000, 348713164890, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 2481793606933051681670490], 'label': '50000000.qt.20._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885362
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [27439951662529757587209094571553, 439636063274368693827710628938488144322931999479, 2481793606933306470604864, 550556216613400073150350920013102355301422570, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 35367047974959191960596807680000, 348713164890, 647475510142073733936513, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.20._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885363
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [187768627233, 33, 911748349975248729504920554395901747233, 42378974730937233229784956518648334154415747050, 62253455258201204877389985867990074197122498599, 271603972747907601427142123441658564093063811823, 81591528324789773434561774435608312182784792960, 500292551154076441912655657914258990961339270519, 81591528324789791749640190039276646663059064410, 41869336903510576997941184846361065885376716193, 2481793606933051681670490, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.20._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885364
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [271603972443736585927581205406492711187075715823, 1596967378493519599443946905787057188923730086, 33, 9157943146738599338999539115553, 1046417237469598269772784348962820837496563835, 550557093373571574870727307584227866100782570, 439636063274368693827710628938488144322931999479, 9157943146738727721518507184480, 911748349975248729504920554395901747233, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 187768627233], 'label': '50000000.qt.20._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885365
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [35367049269807646217978512176570, 18315078415603668334505701440090, 26584437368957304324849359192573702423, 1596967378493501284365531301632142561804107623, 911748349975248729504920554395901747233, 550557093373571574869536939722569207858222570, 229776298792826513233045702883261773928190837743, 9157943794111799172739444800033, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 440681736533349981920702741210125149015857795290, 187768627233], 'label': '50000000.qt.20._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885366
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [33, 271603972747907610584276100881597289597910984943, 550557093373571574870727307584227866100782570, 18315078415603668334505701440090, 26584437368957304324849359192573702423, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 1596967378493519599443299429790334645058460839, 187768627233], 'label': '50000000.qt.20._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885367
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [1596967378493492159491637002214631940329167399, 187768627233, 33, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 550557397544605389508769521031297201652133189, 271603972747907610584276100881597289597910984943, 26584437368957304324849359192573702423, 2481793606933051681670490, 35367047974959191960690731910490, 35367050456752414751412438827610], 'label': '50000000.qt.20._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885368
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142422447101370, 187768627233, 440681736533349981920702741210125149015857795290, 1596967378493501284365531301632142561804107686, 550557093373571574870079832074085792367662570, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 647475510142422446284890, 27439951662529757587489310507520, 26584437368957304324849359192573702423, 229776299096997537889741245833748070422270837743, 35367047974959191960690731910490], 'label': '50000000.qt.20._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885369
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 105225812236279730242086677931010022061003463066, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885370
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142353949872480, 911748349975248729504920554488349056096, 27439951662529757587489310507520, 26584437368957304324849359192573702423, 440681735925772656602151392396880807690361475290, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 348713164890, 1596967378493501284365531301632142375512402086, 35367047974959191960596807680000, 229776298488639042899042346979491542892860277743, 550556216613400073150350920013102355301422570], 'label': '50000000.qt.20._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885371
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  • id: 218885372
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [187768627233, 292539013192989680425814712176080377751842250223, 33, 61207788959734854970330117872224544670925463050, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 81591528324789773434561774435608312182784792960, 81591528324789791749640190039276646663059064410, 20425781607291124255756232014197771261607120679, 41869336903510576997941184846361065885376716193, 26584437368957304324849359192573702423, 2481793606933051681670490], 'label': '50000000.qt.20._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885373
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [33, 550556824190734549642907468521878097380398570, 9157943146738599338999539115553, 292539013496379526285488814107303937013501386223, 26584437368957304324849359192573702423, 1596967378493501284365531301632142561804107719, 9157943146738727721518507184480, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 187768627233], 'label': '50000000.qt.20._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885374
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [187768627233, 439636063274368693827710628938488144322931999479, 550557093373571574870079832074085792367662570, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 18315078415603668334505701440090, 35367049269807646217978512176570, 1596967378493501284365531301632142561804107719, 35367047974959191960690731910490, 229776299669570239057458367477614464882430837743, 9157943794111799172739444800033], 'label': '50000000.qt.20._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885375
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [33, 271603972747907610584276100881597289597910984943, 550557093373571574870727307584227866100782570, 18315078415603668334505701440090, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 439636062701796028027041482253429568037237041943, 1596967378493519599443299429790334645058460839, 187768627233], 'label': '50000000.qt.20._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885376
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [35367050456752414751412438827610, 33, 550557093373571574870727307584227866100782570, 229776299096997537889741245833748070422270837743, 439636063274368693827710628938488144322931999479, 440681736229960145218967908112935505917499642235, 911748349975248729504920554395901747233, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 1596967378493510441499508741084287852783703079, 187768627233], 'label': '50000000.qt.20._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885377
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142422447101370, 187768627233, 439636063274368693827710628938488144322931999479, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 229776298488639042899041804087140026308350837743, 647475510142422446284890, 1596967378493501284365531301632142561804107623, 27439951662529757587489310507520, 550557093373571574869536939722569207858222570, 35367047974959191960690731910490], 'label': '50000000.qt.20._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885378
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [550557093373571574870727307584227866100782570, 647475510142353949872480, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 229776299669570239057457723425197448313230197743, 41869336903510550788835709150386684265357720960, 35367047974959191960596807680000, 440681735656589810418981073294626864862124675290, 348713164890, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 2481793606933051681670490], 'label': '50000000.qt.20._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885379
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [229776298792826513233044411457516499628675957743, 550557093373571574870727307584227866100782570, 439636063274368693827710628938488144322931999479, 647475510142073733936513, 1596967378493501284365531301632142467959710829, 911748349975248729504920554395901747233, 27439951662529757587209094571553, 440681736533349981920701449682197990372924035290, 41869336903510550788835709150386684265357720960, 348713164890, 35367047974959191960596807680000, 2481793606933306470604864], 'label': '50000000.qt.20._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885380
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 105225812236279730242086677931010022061003463066, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 105721672961894926706570015620875915473237851429, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885381
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [187768627233, 292539013192989680425814712176080377751842250223, 33, 61207788959734854970330117872224544670925463050, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 81591528324789773434561774435608312182784792960, 500292551154076441912655657914258990961339270519, 81591528324789791749640190039276646663059064410, 20425781607291124255756232014197771261607120679, 41869336903510576997941184846361065885376716193, 2481793606933051681670490], 'label': '50000000.qt.20._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885382
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [550557093373571574870727307584227866100782570, 187768627233, 439636063274368693827710628938488144322931999479, 501338967218780078282618710727477414738286842170, 33, 271603972443736585927581205406492711187075715823, 9157943146738727721518507184480, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 9157943146738599338999539115553, 1596967378493519599443946905787057188923730086, 2481793606933051681670490], 'label': '50000000.qt.20._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885383
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [648477309794611167980506347306275219928404555616, 35367049269807646217978512176570, 18315078415603668334505701440090, 26584437368957304324849359192573702423, 1596967378493501284365531301632142561804107623, 911748349975248729504920554395901747233, 550557093373571574869536939722569207858222570, 1046417237469589111830285085771227870427456629, 9157943794111799172739444800033, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 187768627233], 'label': '50000000.qt.20._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885384
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [690304984322264966499455805849475698356712011610, 33, 18315078415603668334505701440090, 26584437368957304324849359192573702423, 1596967378493492159491637002214631940329167399, 911748349975248729504920554395901747233, 550556824190716266829646495941090702835724133, 1046417237469589111830285085771227870427456596, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 187768627233], 'label': '50000000.qt.20._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885385
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [35367050456752414751412438827610, 33, 669370686682905289426810105514609139729420875553, 550556216613417158189166035117231666675331044, 26584437368957304324849359192573702423, 911748349975248729504920554395901747233, 1046417237469589111830285085771227870427456596, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 1596967378493519599443299429790334645058460839, 187768627233], 'label': '50000000.qt.20._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885386
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  • id: 218885387
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [648477309794611167980506347306275220116173182810, 647475510142353949872480, 911748349975248729504920554488349056096, 550556216613400073150350920013102355301422570, 41869336903510550788835709150386684265357720960, 35367047974959191960596807680000, 348713164890, 27439951662529757587489310507520, 1596967378493501284365531301632142375512402086, 26584437368957304324849359192573702423, 2481793606933051681670490, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.20._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885388
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [27439951662529757587209094571553, 2481793606933306470604864, 1596967378493501284365531301632142655728338055, 550556824190725391700408205330285037863982570, 1046417237469589111830285085771228032848915829, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 35367047974959191960596807680000, 348713164890, 648477309794611167980506347306275219835957246784, 647475510142073733936513, 26584437368957304324849359192573702423], 'label': '50000000.qt.20._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885389
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [669370686987092732320862989256381004234608185056, 187768627233, 33, 911748349975248729504920554395901747233, 42378974730937233229784956518648334154415747050, 62253455258201204877389985867990074197122498599, 81591528324789773434561774435608312182784792960, 81591528324789791749640190039276646663059064410, 41869336903510576997941184846361065885376716193, 26584437368957304324849359192573702423, 2481793606933051681670490, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.20._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885390
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [648477309794611158855633747855311966690029566784, 33, 9157943146738599338999539115553, 26584437368957304324849359192573702423, 9157943146738727721518507184480, 911748349975248729504920554395901747233, 1596967378493484232395971946595096523618821223, 1046417237469589111830285085771227870427456596, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 187768627233, 550556520003272142737158842281033529091118570], 'label': '50000000.qt.20._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885391
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 104675255707856353095398173061862774711268041023, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885392
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [187768627233, 439636063274368693827710628938488144322931999479, 550557093373571574870079832074085792367662570, 648477309794611167980506347306275219767460018016, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 18315078415603668334505701440090, 1046417237469589111830285085771227870427456570, 35367049269807646217978512176570, 1596967378493501284365531301632142561804107719, 35367047974959191960690731910490, 9157943794111799172739444800033], 'label': '50000000.qt.20._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885393
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [690304984322264966499455805849475698356712011610, 33, 18315078415603668334505701440090, 1596967378493492159491637002214631940329167399, 911748349975248729504920554395901747233, 550556824190716266829646495941090702835724133, 1046417237469589111830285085771227870427456596, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 439636062701796028027041482253429568037237041943, 187768627233], 'label': '50000000.qt.20._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885394
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [648477309794611167980506347306275219928404555616, 35367050456752414751412438827610, 33, 550557093373571574870727307584227866100782570, 439636063274368693827710628938488144322931999479, 911748349975248729504920554395901747233, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 1596967378493510441499508741084287852783703079, 187768627233, 1046417237469598269773974716593659464065596116], 'label': '50000000.qt.20._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885395
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142422447101370, 187768627233, 439636063274368693827710628938488144322931999479, 648477309794611167980506347306275220116173182816, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 647475510142422446284890, 550557093373571574871371360001244435301422570, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 35367047974959191960690731910490, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.20._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885396
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [550557093373571574870727307584227866100782570, 647475510142353949872480, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 1046417237469589111830285085771227777980147835, 648477309794611167980506347306275220022248952353, 41869336903510550788835709150386684265357720960, 35367047974959191960596807680000, 348713164890, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 2481793606933051681670490], 'label': '50000000.qt.20._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885397
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [439636063274368693827710628938488144322931999479, 648477309794611167980506347306275220116173182810, 647475510142073733936513, 1596967378493501284365531301632142561804107719, 911748349975248729504920554395901747233, 27439951662529757587209094571553, 1046417237469589111830285085771227870427456596, 41869336903510550788835709150386684265357720960, 348713164890, 35367047974959191960596807680000, 2481793606933306470604864, 550556216613400073150350920013102355301422570], 'label': '50000000.qt.20._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885398
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [669370686987092732320862989256381004234608185056, 187768627233, 33, 911748349975248729504920554395901747233, 42378974730937233229784956518648334154415747050, 62253455258201204877389985867990074197122498599, 81591528324789773434561774435608312182784792960, 500292551154076441912655657914258990961339270519, 81591528324789791749640190039276646663059064410, 41869336903510576997941184846361065885376716193, 2481793606933051681670490, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.20._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885399
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [1596967378493519599443946905787057188923730086, 33, 9157943146738599338999539115553, 1046417237469598269772784348962820837496563835, 550557093373571574870727307584227866100782570, 439636063274368693827710628938488144322931999479, 9157943146738727721518507184480, 911748349975248729504920554395901747233, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 648477309794611175907603307210578786738267640353, 187768627233], 'label': '50000000.qt.20._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885400
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [187768627233, 440681736533349981920702741210125149015857795290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 18315078415603668334505701440090, 648477309794611167980506347306275219928404555616, 1596967378493501284365531301632142561804107623, 35367049269807646217978512176570, 26584437368957304324849359192573702423, 550557093373571574869536939722569207858222570, 35367047974959191960690731910490, 9157943794111799172739444800033], 'label': '50000000.qt.20._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885401
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  • id: 218885402
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 33, 105225812236279730242086677931010022061003463066, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 1938901639558889517361920, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 128424084333753600, 26584437368957304324849359192573702423, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885403
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 104675255707856353095398173061862774711268041023, 229776299096997537889741245833748070422270837743, 6987082920720447758208599717772436944600, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885404
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [1596967378493492159491637002214631940329167399, 187768627233, 33, 711240024498164181032951397431086218985329227520, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 550557397544605389508769521031297201652133189, 26584437368957304324849359192573702423, 2481793606933051681670490, 35367047974959191960690731910490, 35367050456752414751412438827610], 'label': '50000000.qt.20._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885405
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142422447101370, 187768627233, 440681736533349981920702741210125149015857795290, 1596967378493501284365531301632142561804107686, 550557093373571574870079832074085792367662570, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 648477309794611167980506347306275219928404555616, 647475510142422446284890, 27439951662529757587489310507520, 26584437368957304324849359192573702423, 35367047974959191960690731910490], 'label': '50000000.qt.20._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885406
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142353949872480, 911748349975248729504920554488349056096, 27439951662529757587489310507520, 648477309794611167980506347306275220116173182810, 26584437368957304324849359192573702423, 440681735925772656602151392396880807690361475290, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 348713164890, 1596967378493501284365531301632142375512402086, 35367047974959191960596807680000, 550556216613400073150350920013102355301422570], 'label': '50000000.qt.20._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885407
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [27439951662529757587209094571553, 440681735925772656602151392396880807690361475290, 2481793606933306470604864, 1596967378493501284365531301632142655728338055, 550556824190725391700408205330285037863982570, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 35367047974959191960596807680000, 348713164890, 648477309794611167980506347306275219835957246784, 647475510142073733936513, 26584437368957304324849359192573702423], 'label': '50000000.qt.20._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885408
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [187768627233, 33, 61207788959734854970330117872224544670925463050, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 690304983445521231550170541804288178340876633696, 81591528324789773434561774435608312182784792960, 81591528324789791749640190039276646663059064410, 20425781607291124255756232014197771261607120679, 41869336903510576997941184846361065885376716193, 26584437368957304324849359192573702423, 2481793606933051681670490], 'label': '50000000.qt.20._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885409
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [648477309794611167980506347306275219928404555616, 33, 550556824190734549642907468521878097380398570, 9157943146738599338999539115553, 26584437368957304324849359192573702423, 1596967378493501284365531301632142561804107719, 9157943146738727721518507184480, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 187768627233], 'label': '50000000.qt.20._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885410
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [187768627233, 439636063274368693827710628938488144322931999479, 550557093373571574870079832074085792367662570, 648477309794611167980506347306275219767460018016, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 18315078415603668334505701440090, 35367049269807646217978512176570, 1596967378493501284365531301632142561804107719, 35367047974959191960690731910490, 9157943794111799172739444800033], 'label': '50000000.qt.20._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885411
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [648477309794611167980506347306275219928404555616, 33, 550557093373571574870727307584227866100782570, 18315078415603668334505701440090, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 439636062701796028027041482253429568037237041943, 1596967378493519599443299429790334645058460839, 187768627233], 'label': '50000000.qt.20._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885412
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [550557093373571574870727307584227866100782570, 187768627233, 439636063274368693827710628938488144322931999479, 33, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 648477309794611167980506347306275219928404555616, 440681736229960145218967908112935505917499642235, 1596967378493510441499508741084287852783703079, 2481793606933051681670490, 35367047974959191960690731910490, 35367050456752414751412438827610], 'label': '50000000.qt.20._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885413
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [647475510142422447101370, 187768627233, 439636063274368693827710628938488144322931999479, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 647475510142422446284890, 1596967378493501284365531301632142561804107623, 27439951662529757587489310507520, 648477309794611167980506347306275219835957246816, 550557093373571574869536939722569207858222570, 35367047974959191960690731910490], 'label': '50000000.qt.20._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885414
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 104675255707856353095398173061862774711268041023, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885415
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [550557093373571574870727307584227866100782570, 647475510142353949872480, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 648477309794611167980506347306275220022248952353, 41869336903510550788835709150386684265357720960, 35367047974959191960596807680000, 440681735656589810418981073294626864862124675290, 348713164890, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 2481793606933051681670490], 'label': '50000000.qt.20._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885416
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [648477309794611167980506347306275219928404555616, 550557093373571574870727307584227866100782570, 439636063274368693827710628938488144322931999479, 647475510142073733936513, 1596967378493501284365531301632142467959710829, 911748349975248729504920554395901747233, 27439951662529757587209094571553, 440681736533349981920701449682197990372924035290, 41869336903510550788835709150386684265357720960, 348713164890, 35367047974959191960596807680000, 2481793606933306470604864], 'label': '50000000.qt.20._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885417
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [187768627233, 33, 61207788959734854970330117872224544670925463050, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 690304983445521231550170541804288178340876633696, 81591528324789773434561774435608312182784792960, 500292551154076441912655657914258990961339270519, 81591528324789791749640190039276646663059064410, 20425781607291124255756232014197771261607120679, 41869336903510576997941184846361065885376716193, 2481793606933051681670490], 'label': '50000000.qt.20._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885418
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [1596967378493519599443946905787057188923730086, 33, 9157943146738599338999539115553, 550557093373571574870727307584227866100782570, 439636063274368693827710628938488144322931999479, 9157943146738727721518507184480, 911748349975248729504920554395901747233, 501338967218780078282618710727477414738286842170, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 648477309794611175907603307210578786738267640353, 187768627233], 'label': '50000000.qt.20._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885419
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [911748349975248729504920554488349056096, 27439951662529757587303018802016, 439636063300953131196667773553052274726369260256, 647475510142167658166976, 230794444840849924804633642243556345818397656309, 1596967378493501284365531301632142467959710829, 229776299087796181435716125472697154457929896920, 2481793606933051681670490, 231331224528240984548551168034304701410122470483, 348713164890, 41869336903510550788835709150386684265357720960, 35367047974959191960596807680000], 'label': '50000000.qt.20._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885420
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [439636063300953131196667773553052274726369260256, 187768627233, 1046417245634867895428989419790178479557799004, 18315080897397275267557302476193, 550557093373571574870079832074085792367662570, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 1596967378493501284365531301632142561804107623, 18315080354504923751065240345050, 229776299096997537889741245833748070422270837743, 35367047974959191960690731910490, 35367050456752414751412438827610], 'label': '50000000.qt.20._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885421
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [647475510142422447101370, 439636062120021935038250023217809302998579180256, 1046417245634867895428989419790178479557799004, 2481793606933306470604864, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 348713164890, 229776299400387392874287947215295022069502837743, 27439951662529757587396863198784, 1596967378493501284365531301632142561804107719, 550557397544596231565079890208865701938222570, 35367047974959191960945520844864], 'label': '50000000.qt.20._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885422
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 2481793606933237973376096, 1046417237469589111830285085771228032848915829, 41869336903510550788835709150386684265357720960, 35367047974959191960596807680000, 550556520003255057697699674888311732847662570, 187768627264, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 27439951662529757587557807736410], 'label': '50000000.qt.20._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885423
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [27439951662529757587396863198784, 1596967378493501284365531301632142467959710829, 230794444233272599486078621371025297220320216309, 647475510142422447101370, 911748349975248729504920554395901747233, 550556520003255057697699674888311732847662570, 439636062389204781221417209730034929634211820256, 229776299087796181435716125472697154457929896920, 348713164890, 41869336903510550788835709150386684265357720960, 35367047974959191960596807680000, 2481793606933306470604864], 'label': '50000000.qt.20._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885424
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [230794445110032770987800285863430455869520856309, 647475510142261502563744, 1596967378493501284365531301632142655728338055, 27439951662529757587303018802016, 911748349975248729504920554395901747233, 550556520003255057697699674888311732847662570, 439636062389204781221417209730034929634211820256, 229776299087796181435716125472697154457929896920, 348713164890, 41869336903510550788835709150386684265357720960, 35367047974959191960596807680000, 2481793606933306470604864], 'label': '50000000.qt.20._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885425
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 1046417237469589111830285085771227870427456596, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885426
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [550557093373571574870727307584227866100782570, 647475510142422447101370, 2481793606933306470604864, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 35367047974959191960596807680000, 440681736533349981920701449682197990372924035290, 348713164890, 439636062093437497669292770699175305944804639479, 229776299400387392874287947215295022069502837743, 1596967378493501284365531301632142375512402086, 27439951662529757587557807736410], 'label': '50000000.qt.20._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885427
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [550557093373571574870727307584227866100782570, 2481793606933306470604864, 439636062701795992659992859819111607789038879479, 1596967378493501284365531301632142655728338055, 647475510142261502563744, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 35367047974959191960596807680000, 440681736533349981920701449682197990372924035290, 348713164890, 27439951662529757587396863198784, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.20._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885428
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [27439951662529757587209094571553, 911748349975248729504920554488349056096, 439636062389204781221417209730034929634211820256, 2481793606932957757440000, 1046417237469589111830285085771227777980147835, 33, 550556824190725391700408205330285037863982570, 41869336903510550788835709150386684265357720960, 35367047974959191960596807680000, 647475510142073733936513, 26584437368957304324849359192573702423, 1596967378493501284365531301632142307015173223], 'label': '50000000.qt.20._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885429
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [41869336903510576997941184846361065885376716193, 42378974730937233229784956518648334154415747050, 81591528324789791749640190039276646663059064410, 229776299096997537889741245833748070422270837743, 41869336903510550788838190943993617317039391450, 83188495703283293034005073865398646802416252199, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 41869336903510550788835709150386684265357720993, 187768627233, 500292551154076441912655657914258990961339270519, 81591528324789773434561774435608312182784792960], 'label': '50000000.qt.20._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885430
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [187768627233, 41319158799772742245169364715011962537058531239, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 81591528324789791749642024357373437292293814970, 81591528324789791749639542563766504240612144513, 271603972747907601427142123441658564093063811823, 81591528324789773434561774435608312182784792960, 500292551154076441912655657914258990961339270519, 81591528324789791749640190039276646663059064410, 41869336903510576997941184846361065885376716193, 21443934285855189597353759820755183139471781130], 'label': '50000000.qt.20._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885431
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 210947484868199879551302570162348679288541434703, 550557102320020030616280357252173598235483389, 81591528324789773434561774435608312182784792960, 41869336903510550788835709150386684453126348193, 20935040445082088156615087997408572605293753633, 1596967378493501284365531301632142561804107719, 2481793606933051681670490, 6987082920720447758208599717772436944600, 35367047974959191960945520844864], 'label': '50000000.qt.20._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885432
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [439636063300953131196667773553052274726369260256, 550557397544596231565079890208865701938222570, 647475510142073733936513, 26584437368957304324849359192573702423, 1046417237469589111830285085771227964351687066, 911748349975248729504920554395901747233, 27439951662529757587209094571553, 93924230496, 2481793606933051681670490, 41869336903510550788835709150386684265357720960, 1596967378493501284365531301632142375512402086, 35367047974959191960596807680000], 'label': '50000000.qt.20._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885433
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [27439951662529757587209094571553, 439636063300953131196667773553052274726369260256, 2481793606933237973376096, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 35367047974959191960596807680000, 550556520003255057697699674888311732847662570, 647475510142073733936513, 1596967378493501284365531301632142561804107719, 280215936000, 26584437368957304324849359192573702423, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.20._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885434
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [18315080354504923751065240345050, 6987082920720449049634344992071951824600, 18315078415603668334505701440090, 439636063300953131196666586608283741572659180256, 1596967378493501284365531301632142561804107719, 911748349975248729504920554395901747233, 229776298792826513233045702883261773928190837743, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 550557102320020030616280357252173598235483389, 27439951662529757587489310507553, 187768627233], 'label': '50000000.qt.20._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885435
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [41869336903510576997941184846361065885376716193, 33, 550557093373571574870727307584227866100782570, 229776299096997537889741245833748070422270837743, 26584437368957304324849359192573702423, 647475510142422447101370, 911748349975248729504920554395901747233, 20425781607291124255756232014197771261607120679, 1046417237469589111830285085771227870427456596, 2481793606933051681670490, 41869336903510576997941832321743871952298368000, 187768627233], 'label': '50000000.qt.20._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885436
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475894284776292736090, 33, 550557093373571574870727307584227866100782570, 439636063300953131196667773553052274726369260256, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 647475510142422447101370, 911748349975248729504920554395901747233, 187768627290, 27439952953955502861508609209690, 1046417237469589111830285085771227870427456596, 229776299087796181435716125472697154457929896920, 41869336903510550788835709150386684265357720960], 'label': '50000000.qt.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: 218885437
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [187768627233, 292539013192989680425814712176080377751842250223, 33, 61207788959734854970330117872224544670925463050, 911748349975248729504920554395901747233, 83188495703283293034005073865398646802416252199, 20935040445082088156615735472918715027738828890, 27439951662529757587489310507520, 41869336903510576997941184846361065885376716193, 26584437368957304324849359192573702423, 2481793606933051681670490, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.20._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885438
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [911748349975248729504920554488349056096, 27439951662529757587557807736410, 647475510142422447101370, 439636062389204781221417209730034929634211820256, 229776299087796181435716125472697154457929896920, 2481793606933051681670490, 348713164890, 41869336903510550788835709150386684265357720960, 1596967378493501284365531301632142375512402086, 35367047974959191960596807680000, 230794445414203795644497019181778411021843416309, 231331224528240984548551168034304701155253702450], 'label': '50000000.qt.20._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885439
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [33, 550557093373571574870727307584227866100782570, 250669676862051830837765380430037258156429155183, 26584437368957304324849359192573702423, 1596967378493510441501447642569478116813726829, 647475510142422447101370, 911748349975248729504920554395901747233, 1046417237469589111830285085771227870427456596, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 187768627233, 647475996722569294130016], 'label': '50000000.qt.20._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885440
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [187768627233, 33, 35367048622434702102670541616513, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 35367048622434574766759052510784, 550556216613426315325726428344247785473070570, 292539013496379526285488814107303937013501386223, 1596967378493492159492931851411188249447122055, 26584437368957304324849359192573702423, 2481793606933051681670490, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.20._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885441
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [187768627233, 33, 911748349975248729504920554395901747233, 83188495703283293034005073865398646802416252199, 20935040445082088156615735472918715027738828890, 711240023890603309318804174102587701588421792096, 41869336903510559945971625491324020262924901824, 27439951662529757587489310507520, 26584437368957304324849359192573702423, 21443934285855189597353759820755183139471781130, 2481793606933051681670490, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.20._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885442
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [647475510142422447101370, 82142085418163362094471313434588539089543180170, 187768627233, 41869336903510576997941832321743871952298368000, 33, 41869336903510541630893209887169105194724639450, 911748349975248729504920554395901747233, 690304983445521231550170541804288178340876633696, 20425781607291124255756232014197771261607120679, 26584437368957304324849359192573702423, 2481793606933051681670490, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.20._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885443
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [550557093373571574870727307584227866100782570, 187768627233, 33, 9157944438164216189214720000090, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 648477309794611167980506347306275219928404555616, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 2481793606933051681670490, 35367047974959191960690731910490, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.20._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885444
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [27439952309903085845127176396250, 33, 550556520003281299873722658627161257460375083, 26584437368957304324849359192573702423, 1596967378493484232393490152885725655066568999, 629648495869984552613841630188902035616199243584, 911748349975248729504920554395901747233, 1046417237469589111830285085771227870427456596, 35367047974959191960690731910490, 41869336903510550788835709150386684265357720960, 2481793606933051681670490, 187768627233], 'label': '50000000.qt.20._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885445
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [41319158799772742245169364715011962537058531239, 41869336903510550788838190943993617317039391450, 690304983445521231550170541804288178340876633696, 61207788959734854970330117872224544670925463050, 41869336903510550788835709150386684453126348193, 911748349975248729504920554395901747233, 20935040445082088156615087997408572605293753633, 440681736533349981920701449682197990372924035290, 35367047974959191960945520844864, 41869336903510576997941832321743871952298368000, 62762714095992168778249489326711017963254373850, 500292551154076441912655657914258990961339270519], 'label': '50000000.qt.20._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885446
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [62253455258201204877389985867990074197122498599, 27439951662529757587489310507520, 81591528324789791749642024357373437292293814970, 41869336903510550788835709150386684359281951450, 35367047974959191960784576307233, 41869336903510550788836356625896826687804806490, 690304983445521231550170541804288178340876633696, 61207788959734854970330117872224544670925463050, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 41869336903510550788835709150386684265357720993, 500292551154076441912655657914258990961339270519], 'label': '50000000.qt.20._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885447
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885448
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [187768627233, 18315080897397275267557302476193, 439636063274368693827708147144881211365174559479, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 18315078415603668334505701440090, 648477309794611167980506347306275219835957246816, 18315080354504923751065240345050, 1596967378493501284365531301632142561804107719, 550557093373571574869536939722569207858222570, 35367047974959191960690731910490], 'label': '50000000.qt.20._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885449
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [187768627233, 35367049913860063234896425981313, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 18315078415603668334505701440090, 439636063274368693827709334089649744518884639479, 1596967378493501284365531301632142561804107655, 648477309794611167980506347306275219835957246816, 35367049269807646217978512176570, 550557093373571574869536939722569207858222570, 35367047974959191960690731910490], 'label': '50000000.qt.20._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885450
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 25, 'diagramx': None, 'generators': [647475766948396819883616, 1596967378493501284364883826351774311832069255, 911748349975250563823017345372373376033, 2481793991075567870156160, 104675255707856334813389114378096161748537421983, 229776299400387392874290429008901954772469891823, 481463736040114853915955298527849540996659180250, 41869336903510550788835709150514020364617131520, 2481793606932957757440033, 550556520003255057696509408952777234433070603, 27439951015054247445135360816480, 26584437368957304324849359192573702423, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.25._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '25.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885451
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 25, 'diagramx': None, 'generators': [1046417237469589111830932561640614502803392570, 104675255707856343938262256721155213140964041023, 911748349975250563823017345372373376033, 460570358578450415952478512788617446983464940193, 647475638566506780038433, 550556216613400073149706867826906004145198564, 1938901639558889517361920, 1596967378493501284365531301632142561804107623, 41869336903510550788835709150514020364617131520, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423, 229776299096997537889741788726099586751989891823], 'label': '50000000.qt.25._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '25.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885452
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 25, 'diagramx': None, 'generators': [104675255438673506912229691700798747922874876223, 911748349975250563823017345372373376033, 1294848838399991815987233, 1046417237469589111829641033354211301226816629, 26584437368957304324849359192573702423, 550557093373588659908348733915457358119333093, 439636063300953166563715748511860092900833667776, 1596967378493484232394033045237242425868924135, 27439953496848238520795677872480, 41869336903510550788835709150514020364617131520, 1938901255416373248000090, 210947485171589752850929626049076187950038984943, 9157944438164216189563433573793], 'label': '50000000.qt.25._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '25.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885453
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 25, 'diagramx': None, 'generators': [911748349975248729504920554488349056096, 62253456134944930701802002986704240652585705543, 167437970107238350649092118400633440498885107135, 304187470334005837697377164273303936000, 61207788386364538453158381767942367395868847844, 41869336903510576997941184846361065697608088960, 292539013192989680425814712175977939772551811823, 1046417540859444096380763109763512373388487035, 460570359759381639550847925551922701978565388896, 911748349975250563823017345372373376064, 20935040445082088156615735473276871345043064410, 26584437368957304324849359192573702423, 41869338084441746947254211441988157161702622753], 'label': '50000000.qt.25._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '25.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885454
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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}
  • id: 218885455
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885456
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885457
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885458
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475894284776292736090, 33, 550557093373571574870727307584227866100782570, 439636063300953131196667773553052274726369260256, 2481793606932957757440096, 230794444840849924804633642243556345818397656309, 1596967378493501284365531301632142561804107719, 647475510142422447101370, 911748349975248729504920554395901747233, 187768627290, 27439952953955502861508609209690, 229776299087796181435716125472697154457929896920, 41869336903510550788835709150386684265357720960], 'label': '50000000.qt.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: 218885459
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885467
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 439126804409993337049811913770723823689774614406, 41869336903510576997941184846361065697608088960, 231331231211407725735750692767139625905958211844, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885468
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 230794444814791749109543828489290262571869355506, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885469
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 231331224528240984548551168034304701503966867213, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 1046417237469589111830285085771227870427456596, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885470
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331231211407725735750692767139625905958211844, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885471
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 231331224520075705764952413069162058742796441610, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885472
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 230794439338614344407996665912613682879908954883, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885473
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 439126804409993337049811913770723823689774614406, 6995503107502325926445934683034509002223, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885474
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 1596973462248258811442130223269500988397391496, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 439126804409993337049811913770723823689774614406, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885475
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885476
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 440681736533349981920701449682197990372924035290, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885477
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885478
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885479
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885480
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 33, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 231331224528240984548551168034304701503966867213, 1596967378493501284365531301632142561804107719, 1046417237469589111830285085771227870427456596, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885481
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 1596973435663821442484881025546745095736450719, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885482
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 439126804409993337049811913770723823689774614406, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885483
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 439126804409993337049811913770723823689774614406, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885484
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 650032241917951358638021752693819631142878483283, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885485
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 439126804409993337049811913770723823689774614406, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.32._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885486
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.32._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885487
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 6995503107502325926445934683034509002223, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.32._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885488
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 439126804409993337049811913770723823689774614406, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885489
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885490
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.32._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885491
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 231331224528240984548551168034304701503966867213, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885492
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 439126804409993337049811913770723823689774614406, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.32._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885493
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 550557102320020030616280357252173598235483389, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.32._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885494
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 231331224520075705764952413069162058742796441610, 27439951015054247445135360816480], 'label': '50000000.qt.32._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885495
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776292404884331161758494920982972464968446810], 'label': '50000000.qt.32._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885496
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 550557093373571574870727307584227866100782570, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.32._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885497
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.32._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885498
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 6995503107502325926445934683034509002223, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885499
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480, 229776292431468768530715639535547102879901746006], 'label': '50000000.qt.32._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885500
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885501
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.32._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885502
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 231331224528240984548551168034304701503966867213, 1596967378493501284365531301632142561804107719, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885503
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 1596967351909063915408226976782783394657406896, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885504
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885505
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 439126804436577774418769162968446579582435555210], 'label': '50000000.qt.32._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885506
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.32._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885507
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 1596967351909063915408226976782783394657406896, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885508
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885509
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 27439951015054247445135360816480, 439126804436577774418769162968446579582435555210], 'label': '50000000.qt.32._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885510
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 231331224520075705764952413069162058742796441610, 27439951015054247445135360816480], 'label': '50000000.qt.32._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885511
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 230794439338614344407996665912613682879908954883, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885512
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 650032247349362348033132401363819110530379340844, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885513
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 1938901639558889517361920, 104675255716276539877276390755229762227435983400, 27439951662529757587489310507520, 105721672961894926706570015620875915473237851429, 1596967378493501284365531301632142561804107719, 128424084333753600, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885514
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475894284776292736090, 33, 550557093373571574870727307584227866100782570, 229776299096997537889741245833748070422270837743, 2481793606932957757440096, 26584437368957304324849359192573702423, 1596967378493501284365531301632142561804107719, 647475510142422447101370, 911748349975248729504920554395901747233, 187768627290, 27439952953955502861508609209690, 1046417237469589111830285085771227870427456596, 41869336903510550788835709150386684265357720960], 'label': '50000000.qt.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: 218885515
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 649495460683579935534016792457287775068003623675, 27439951015054247445135360816480], 'label': '50000000.qt.32._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885516
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 231331224520075705764952413069162058742796441610, 27439951015054247445135360816480], 'label': '50000000.qt.32._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885517
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 230794439338614344407996665912613682879908954883, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885518
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 650032247349362348033132401363819110530379340844, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885519
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 649495460683579935534016792457287775068003623675, 27439951015054247445135360816480], 'label': '50000000.qt.32._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885520
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423, 6987082920720447758208599717772436944600], 'label': '50000000.qt.32._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885521
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 1596967351909063915408226976782783394657406896, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.32._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885522
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.32._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885523
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 439126804436577774418769162968446579582435555210, 6987082920720447758208599717772436944600], 'label': '50000000.qt.32._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885524
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 1596973435663821442484881025546745095736450719, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.32._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885525
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885526
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 1596967351909063915408226976782783394657406896, 911748349975248729504920554488349056096, 1596973435663821442484881025546745095736450719, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885527
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 1596973435663821442484881025546745095736450719, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885528
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 1596973435663821442484881025546745095736450719, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 439126804436577774418769162968446579582435555210], 'label': '50000000.qt.32._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885529
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 231331224520075705764952413069162058742796441610, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.32._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885530
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 230794439338614344407996665912613682879908954883, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.32._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885531
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 650032247349362348033132401363819110530379340844, 2481793606932957757440033, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.32._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885532
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 649495460683579935534016792457287775068003623675, 27439951015054247445135360816480, 6987082920720447758208599717772436944600], 'label': '50000000.qt.32._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885533
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 1596973435663821442484881025546745095736450719, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 231331224520075705764952413069162058742796441610, 27439951015054247445135360816480], 'label': '50000000.qt.32._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885534
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 1596973435663821442484881025546745095736450719, 647475894284776292736090, 33, 230794439338614344407996665912613682879908954883, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885535
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 1596973435663821442484881025546745095736450719, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 650032247349362348033132401363819110530379340844, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885536
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885537
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 1596973435663821442484881025546745095736450719, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 649495460683579935534016792457287775068003623675, 27439951015054247445135360816480], 'label': '50000000.qt.32._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885538
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.32._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885539
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 1596967351909063915408226976782783394657406896, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885540
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885541
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480, 439126804436577774418769162968446579582435555210], 'label': '50000000.qt.32._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885542
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 26584437368957304324849359192573702423], 'label': '50000000.qt.32._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885543
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 1596967351909063915408226976782783394657406896, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885544
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 439636063274368693827710628938488144322931999479, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885545
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480, 439126804436577774418769162968446579582435555210], 'label': '50000000.qt.32._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885546
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 230794444814791749109543828489290262571869355506, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885547
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885548
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 231331231211407725735750692767139625905958211844, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885549
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 649495455547393513181914227949082722679770023613, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885550
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 650032241909004910182276095060993059909505145675, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885551
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 230794444814791749109543828489290262571869355506, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885552
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331231211407725735750692767139625905958211844, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885553
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 649495455547393513181914227949082722679770023613, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885554
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 650032241909004910182276095060993059909505145675, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885555
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885556
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 231331231185349550040660879012873542659429911036, 187768627290, 41869336903510576997941184846361065697608088960, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885557
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885558
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 648477309794611167980506347306275219928404555616, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 1046417237469589111830285085771227870427456596, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885559
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 650032241917951358638021752693819631142878483283, 231331224528240984548551168034304701503966867213, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885560
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 230794444840849924804633642243556345818397656309, 33, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885561
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 231331231185349550040660879012873542659429911036, 187768627290, 41869336903510576997941184846361065697608088960, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885562
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 230794439330449065624398015530629665607962209275, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 649495455538447064726168570316256151446396686010, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.32._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885563
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 647475894284776292736090, 33, 187768627290, 41869336903510576997941184846361065697608088960, 439126804409993337049811913770723823689774614406, 2481793606932957757440033, 231331224520075705764952413069162058742796441610, 27439951015054247445135360816480], 'label': '50000000.qt.32._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885564
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 647475894284776292736090, 911748349975250563823017345372373376033, 33, 187768627290, 41869336903510550788835709150514020364617131520, 231331231211407725735750692767139625905958211844, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885565
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 647475894284776292736090, 911748349975250563823017345372373376033, 33, 187768627290, 230794444814791749109543828489290262571869355506, 41869336903510550788835709150514020364617131520, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885566
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 647475894284776292736090, 911748349975250563823017345372373376033, 33, 187768627290, 439126804409993337049811913770723823689774614406, 41869336903510550788835709150514020364617131520, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885567
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 647475894284776292736090, 911748349975250563823017345372373376033, 33, 187768627290, 41869336903510550788835709150514020364617131520, 2481793606932957757440033, 1596967378493501284365531301632142561804107719, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885568
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 647475894284776292736090, 911748349975250563823017345372373376033, 33, 187768627290, 41869336903510550788835709150514020364617131520, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885569
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 648477309794611167980506347306275219928404555616, 1596967378493501284365531301632142561804107719, 1046417237469589111830285085771227870427456596, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885570
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 650032241909004910182276095060993059909505145675, 647475894284776292736090, 911748349975250563823017345372373376033, 33, 187768627290, 41869336903510550788835709150514020364617131520, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885571
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 647475894284776292736090, 911748349975250563823017345372373376033, 33, 649495455547393513181914227949082722679770023613, 187768627290, 41869336903510550788835709150514020364617131520, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.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: 218885572
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': '128.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': [647475510142422447101370, 647475894284776292736090, 911748349975250563823017345372373376033, 33, 187768627290, 41869336903510550788835709150514020364617131520, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.128.a1.a1', '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.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885573
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [6379522041079204866400799521234306512633, 647475766948396819883616, 911748349975250563823017345372373376033, 2481793991075567870156160, 481463736040114853915955298527849540996659180250, 41869336903510550788835709150514020364617131520, 2481793606932957757440033, 27439951015054247445135360816480, 231331224520075705764952413069162058487927673610], 'label': '50000000.qt.400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885574
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [9157944438164216189563433573793, 230794438452907724450530092422957595310628065275, 911748349975250563823017345372373376033, 439126804409993355364888495056295367217525493709, 209901067048956286489372147173028512196003749106, 1938901255416373248000090, 1294848838399991815987233, 41869336903510550788835709150514020364617131520, 27439953496848238520795677872480], 'label': '50000000.qt.400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885575
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975248729504920554488349056096, 250160045440205382844150412002136110170475192964, 304187470334005837697377164273303936000, 420297989304451989517116757339210972632871285799, 41869336903510576997941184846361065697608088960, 911748349975250563823017345372373376064, 231331225101594855388414544870344882201652121709, 20935040445082088156615735473276871345043064410, 41869338084441746947254211441988157161702622753], 'label': '50000000.qt.400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885576
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975250563823017345372373376033, 230794439338614344407996665912613682972356263683, 460570358578450415952478512788617446983464940193, 647475638566506780038433, 1938901639558889517361920, 6379522041079202927499544104861058512633, 41869336903510550788835709150514020364617131520, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.400._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885577
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [41869338084441746947254211441988157161702622753, 304187470334005837697377164273303936000, 41869336903510576997941184846361065697608088960, 420297989304451989517116757339210972632871285799, 911748349975250563823017345372373376064, 62762721091495276280574768296981190231523427183, 911748349975248729504920554488349056096, 20935040445082088156615735473276871345043064410], 'label': '50000000.qt.800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885578
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [9157944438164216189563433573793, 911748349975250563823017345372373376033, 439126804409993355364888495056295367217525493709, 6995503125817403799157251500861776771829, 1938901255416373248000090, 1294848838399991815987233, 41869336903510550788835709150514020364617131520, 27439953496848238520795677872480], 'label': '50000000.qt.800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885579
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975250563823017345372373376033, 1938901639558889517361920, 41869336903510550788835709150514020364617131520, 27439951015054247445135360816480, 2481793606932957757440033, 230794444241437878269677969757461264316742727186, 647475638566506780038433, 460570358578450415952478512788617446983464940193], 'label': '50000000.qt.800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885580
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 2481793606932957757440096, 648477309794611167980506347306275219928404555616, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885581
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975250563823017345372373376033, 460570358578450415952478512788617446983464940193, 647475638566506780038433, 1938901639558889517361920, 6379522041079202927499544104861058512633, 41869336903510550788835709150514020364617131520, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.800._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885582
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [6379522041079204866400799521234306512633, 647475766948396819883616, 911748349975250563823017345372373376033, 2481793991075567870156160, 481463736040114853915955298527849540996659180250, 41869336903510550788835709150514020364617131520, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.800._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885583
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975250563823017345372373376033, 1938901639558889517361920, 41869336903510550788835709150514020364617131520, 27439951015054247445135360816480, 2481793606932957757440033, 230794439338614344407996665912613682972356263683, 647475638566506780038433, 460570358578450415952478512788617446983464940193], 'label': '50000000.qt.800._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885584
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475766948396819883616, 911748349975250563823017345372373376033, 2481793991075567870156160, 481463736040114853915955298527849540996659180250, 41869336903510550788835709150514020364617131520, 2481793606932957757440033, 27439951015054247445135360816480, 231331224520075705764952413069162058487927673610], 'label': '50000000.qt.800._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885585
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [9157944438164216189563433573793, 230794438452907724450530092422957595310628065275, 911748349975250563823017345372373376033, 439126804409993355364888495056295367217525493709, 1938901255416373248000090, 1294848838399991815987233, 41869336903510550788835709150514020364617131520, 27439953496848238520795677872480], 'label': '50000000.qt.800._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885586
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [41869338084441746947254211441988157161702622753, 304187470334005837697377164273303936000, 41869336903510576997941184846361065697608088960, 420297989304451989517116757339210972632871285799, 911748349975250563823017345372373376064, 911748349975248729504920554488349056096, 231331225101594855388414544870344882201652121709, 20935040445082088156615735473276871345043064410], 'label': '50000000.qt.800._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885587
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [41869338084441746947254211441988157161702622753, 304187470334005837697377164273303936000, 41869336903510576997941184846361065697608088960, 420297989304451989517116757339210972632871285799, 911748349975250563823017345372373376064, 250160045440205382844150412002136110170475192964, 911748349975248729504920554488349056096, 20935040445082088156615735473276871345043064410], 'label': '50000000.qt.800._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885588
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [9157944438164216189563433573793, 911748349975250563823017345372373376033, 439126804409993355364888495056295367217525493709, 209901067048956286489372147173028512196003749106, 1938901255416373248000090, 1294848838399991815987233, 41869336903510550788835709150514020364617131520, 27439953496848238520795677872480], 'label': '50000000.qt.800._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885589
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475766948396819883616, 911748349975250563823017345372373376033, 2481793991075567870156160, 481463736040114853915955298527849540996659180250, 231331231784761596575612235285083016068332718564, 41869336903510550788835709150514020364617131520, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.800._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885590
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475766948396819883616, 911748349975250563823017345372373376033, 2481793991075567870156160, 481463736040114853915955298527849540996659180250, 41869336903510550788835709150514020364617131520, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.1600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885591
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 2481793606932957757440096, 648477309794611167980506347306275219928404555616, 1596967378493501284365531301632142561804107719, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885592
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975250563823017345372373376033, 1938901639558889517361920, 41869336903510550788835709150514020364617131520, 27439951015054247445135360816480, 2481793606932957757440033, 230794444241437878269677969757461264316742727186, 647475638566506780038433], 'label': '50000000.qt.1600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885593
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [9157944438164216189563433573793, 710689473775366202702608085076699067839549561675, 911748349975250563823017345372373376033, 1938901255416373248000090, 1294848838399991815987233, 41869336903510550788835709150514020364617131520, 27439953496848238520795677872480], 'label': '50000000.qt.1600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885594
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [650032242213192362233464895143574923964289145636, 647475766948396819883616, 911748349975250563823017345372373376033, 2481793991075567870156160, 41869336903510550788835709150514020364617131520, 2481793606932957757440033, 27439951015054247445135360816480], 'label': '50000000.qt.1600._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1600.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885595
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975250563823017345372373376033, 1938901639558889517361920, 41869336903510550788835709150514020364617131520, 27439951015054247445135360816480, 2481793606932957757440033, 647475638566506780038433, 460570358578450415952478512788617446983464940193], 'label': '50000000.qt.1600._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1600.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885596
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [41869338084441746947254211441988157161702622753, 670430496261658437165980848763998779098080977410, 304187470334005837697377164273303936000, 41869336903510576997941184846361065697608088960, 911748349975250563823017345372373376064, 911748349975248729504920554488349056096, 20935040445082088156615735473276871345043064410], 'label': '50000000.qt.1600._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1600.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885597
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975250563823017345372373376033, 1938901639558889517361920, 41869336903510550788835709150514020364617131520, 27439951015054247445135360816480, 2481793606932957757440033, 649495455816576385607258084818375456570330023683, 647475638566506780038433], 'label': '50000000.qt.1600._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1600.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885598
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [41869338084441746947254211441988157161702622753, 304187470334005837697377164273303936000, 41869336903510576997941184846361065697608088960, 420297989304451989517116757339210972632871285799, 911748349975250563823017345372373376064, 911748349975248729504920554488349056096, 20935040445082088156615735473276871345043064410], 'label': '50000000.qt.1600._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1600.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885599
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [41869338084441746947254211441988157161702622753, 304187470334005837697377164273303936000, 41869336903510576997941184846361065697608088960, 911748349975250563823017345372373376064, 250160045440205382844150412002136110170475192964, 911748349975248729504920554488349056096, 20935040445082088156615735473276871345043064410], 'label': '50000000.qt.1600._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1600.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885602
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 647475894284776292736090, 33, 105225812236279730242086677931010022061003463066, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 648477309794611167980506347306275219928404555616, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 1046417237469589111830285085771227870427456596, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885603
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [209901067048956286489372147173028512196003749106, 911748349975250563823017345372373376033, 41869336903510550788835709150514020364617131520, 1938901255416373248000090, 1294848838399991815987233, 27439953496848238520795677872480, 9157944438164216189563433573793], 'label': '50000000.qt.1600._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1600.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885604
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [41869338084441746947254211441988157161702622753, 304187470334005837697377164273303936000, 41869336903510576997941184846361065697608088960, 911748349975250563823017345372373376064, 911748349975248729504920554488349056096, 20935040445082088156615735473276871345043064410], 'label': '50000000.qt.3200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885605
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975250563823017345372373376033, 41869336903510550788835709150514020364617131520, 1938901255416373248000090, 1294848838399991815987233, 27439953496848238520795677872480, 9157944438164216189563433573793], 'label': '50000000.qt.3200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885606
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975250563823017345372373376033, 41869336903510550788835709150514020364617131520, 27439951015054247445135360816480, 2481793606932957757440033, 647475766948396819883616, 2481793991075567870156160], 'label': '50000000.qt.3200._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3200.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3200._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885607
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975250563823017345372373376033, 1938901639558889517361920, 41869336903510550788835709150514020364617131520, 27439951015054247445135360816480, 2481793606932957757440033, 647475638566506780038433], 'label': '50000000.qt.3200._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3200.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3200._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885608
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975250563823017345372373376033, 418701021944122755871801759221320186496808940256, 41869336903510550788835709150514020364617131520, 27439951015054247445135360816480, 2481793606932957757440033, 7291270391054453491322561449953215952633], 'label': '50000000.qt.20000._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20000._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885609
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1180931196158419045184081371625761670496, 480954477791720546509210667003854681270661047046, 81591528628977243768566320605058317601435852864, 1938901255416373248000090, 911748359133191876141209584967688396224, 20935047137195313234442650531781910391893885486], 'label': '50000000.qt.20000._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20000.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20000._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885610
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [81591528933148286740341466103981481592505520576, 41869336903510576997941184846361065697608088960, 62762715276923364936667344142930730768353067616, 911748349975248729504920554488349056096, 649495456120763855941263173880176978412546394813], 'label': '50000000.qt.40000._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40000._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885611
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [291988462773581557080019445507905724288150851850, 1180931196158418502291986661619127928384, 41869336903510576997941184846361065697608088960, 911748349975248729504920554488349056096, 2481793991075567870156160], 'label': '50000000.qt.40000._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40000.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40000._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885612
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975250563823017345372373376033, 418701021944122755871801759221320186496808940256, 41869336903510550788835709150514020364617131520, 27439951015054247445135360816480, 2481793606932957757440033], 'label': '50000000.qt.40000._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40000.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40000._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885613
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 105225812236279730242086677931010022061003463066, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 648477309794611167980506347306275219928404555616, 1596967378493501284365531301632142561804107719, 1046417237469589111830285085771227870427456596, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885614
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975250563823017345372373376033, 251729485564061280160209965808063600439072538386, 1938901639558889517361920, 41869336903510550788835709150514020364617131520, 1294848966824237094278400], 'label': '50000000.qt.40000._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40000.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40000._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885615
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1180931196158419045184081371625761670496, 480954477791720546509210667003854681270661047046, 81591528628977243768566320605058317601435852864, 1938901255416373248000090, 911748359133191876141209584967688396224], 'label': '50000000.qt.40000._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40000.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40000._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885616
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [9157942499263344915451584307296, 911748349975250563823017345372373376033, 41869336903510550788835709150514020364617131520, 650032241909004891899460996347453176412946374436, 35367047974959064624497549312000], 'label': '50000000.qt.40000._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40000.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40000._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885617
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [9157942499263344915451584307296, 911748349975250563823017345372373376033, 41869336903510550788835709150514020364617131520, 35367047974959064624497549312000], 'label': '50000000.qt.80000._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80000._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885618
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [81591528933148286740341466103981481592505520576, 41869336903510576997941184846361065697608088960, 62762715276923364936667344142930730768353067616, 911748349975248729504920554488349056096], 'label': '50000000.qt.80000._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80000.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80000._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885619
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975250563823017345372373376033, 1938901639558889517361920, 41869336903510550788835709150514020364617131520, 1294848966824237094278400], 'label': '50000000.qt.80000._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80000.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80000._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885620
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975250563823017345372373376033, 41869336903510550788835709150514020364617131520, 27439951015054247445135360816480, 2481793606932957757440033], 'label': '50000000.qt.80000._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80000.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80000._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885621
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1180931196158418502291986661619127928384, 41869336903510576997941184846361065697608088960, 911748349975248729504920554488349056096, 2481793991075567870156160], 'label': '50000000.qt.80000._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80000.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80000._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885622
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1180931196158419045184081371625761670496, 81591528628977243768566320605058317601435852864, 1938901255416373248000090, 911748359133191876141209584967688396224], 'label': '50000000.qt.80000._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80000.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80000._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885623
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [81591528933148286740341466103981481592505520576, 62762715007740518753497571356121429936710878753], 'label': '50000000.qt.2000000._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2000000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000000._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885624
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [33, 27439951662529757587489310507520, 550557093373571574870727307584227866100782570, 229776299096997537889741245833748070422270837743, 439636063300953131196667773553052274726369260256, 26584437368957304324849359192573702423, 128424084333753600, 1596967378493501284365531301632142561804107719, 647475510142422447101370, 1938901639558889517361920, 911748349975248729504920554395901747233, 187768627290, 41869336903510550788835709150386684265357720960, 105721672961894926706570015620875915473237851429], 'label': '50000000.qt.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: 218885625
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 105225812236279730242086677931010022061003463066, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 2481793606932957757440096, 648477309794611167980506347306275219928404555616, 1596967378493501284365531301632142561804107719, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885626
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [81591529505720997032930000253658453436248128064, 20935040445082079031742488546829461881709360480], 'label': '50000000.qt.2000000._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2000000.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000000._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885627
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [41869336903510576997941184846361065697608088960, 911748349975248729504920554488349056096], 'label': '50000000.qt.2000000._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2000000.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000000._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885628
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [911748349975250563823017345372373376033, 41869336903510550788835709150514020364617131520], 'label': '50000000.qt.2000000._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2000000.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000000._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885629
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': '50000000.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': '50000000.qt.50000000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50000000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50000000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218885630
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 647475894284776292736090, 33, 105225812236279730242086677931010022061003463066, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 2481793606932957757440096, 648477309794611167980506347306275219928404555616, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885631
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475894284776292736090, 33, 229776299096997537889741245833748070422270837743, 2481793606932957757440096, 26584437368957304324849359192573702423, 1596967378493501284365531301632142561804107719, 647475510142422447101370, 911748349975248729504920554395901747233, 187768627290, 27439952953955502861508609209690, 1046417237469589111830285085771227870427456596, 41869336903510550788835709150386684265357720960, 104675255707856353095398173061862774711268041023], 'label': '50000000.qt.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: 218885632
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 104675255707856353095398173061862774711268041023, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885633
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063274368693827710628938488144322931999479, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 104675255707856353095398173061862774711268041023, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885634
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 647475894284776292736090, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 440681736533349981920701449682197990372924035290, 2481793606932957757440096, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 104675255707856353095398173061862774711268041023, 229776299096997537889741245833748070422270837743, 27439952953955502861508609209690], 'label': '50000000.qt.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: 218885635
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885636
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 1046417245634867895428989419790178479557799004, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885637
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 550557102320020030616280357252173598235483389, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885638
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 6995503107502325926445934683034509002223, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885639
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 33, 187768627290, 41869336903510550788835709150386684265357720960, 911748349975248729504920554395901747233, 1938901639558889517361920, 104675255716276539877276390755229762227435983400, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 128424084333753600, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885640
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 104675255716276539877276390755229762227435983400, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885641
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 105721672952948478250824411940084277563636065826, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885642
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 105225812210221554546996762914496554462335168669, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885643
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 104675262104202276271241512988375406862742686833, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885644
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885645
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 6987082920720447758208599717772436944600], 'label': '50000000.qt.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: 218885646
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 105721672961894926706570015620875915473237851429, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885647
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [104675262095000919817216497210483116389022514029, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885648
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [550557093373571574870727307584227866100782570, 647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885649
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 105225812236279730242086677931010022061003463066, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885650
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [33, 27439951662529757587489310507520, 550557093373571574870727307584227866100782570, 229776299096997537889741245833748070422270837743, 439636063300953131196667773553052274726369260256, 26584437368957304324849359192573702423, 128424084333753600, 1596967378493501284365531301632142561804107719, 647475510142422447101370, 1938901639558889517361920, 911748349975248729504920554395901747233, 187768627290, 1046417237469589111830285085771227870427456596, 41869336903510550788835709150386684265357720960], 'label': '50000000.qt.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: 218885651
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 104675255707856353095398173061862774711268041023, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885652
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885653
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885654
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 230794444840849924804633642243556345818397656309, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423], 'label': '50000000.qt.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: 218885655
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 439636063300953131196667773553052274726369260256, 911748349975248729504920554488349056096, 256806323086763520, 230794444840849924804633642243556345818397656309, 33, 2481793991075567870156160, 187768627290, 229776299087796181435716125472697154457929896920, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719], 'label': '50000000.qt.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: 218885656
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885657
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 439636063274368693827710628938488144322931999479, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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: 218885658
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885659
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 439636063274368693827710628938488144322931999479, 33, 2481793991075567870156160, 187768627290, 440681736533349981920701449682197990372924035290, 41869336903510576997941184846361065697608088960, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 229776299096997537889741245833748070422270837743], 'label': '50000000.qt.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: 218885660
    {'ambient': '50000000.qt', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [647475510142422447101370, 911748349975248729504920554488349056096, 256806323086763520, 33, 2481793991075567870156160, 187768627290, 41869336903510576997941184846361065697608088960, 648477309794611167980506347306275219928404555616, 27439951662529757587489310507520, 1596967378493501284365531301632142561804107719, 26584437368957304324849359192573702423, 1046417237469589111830285085771227870427456596], 'label': '50000000.qt.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}