Abstract group data - 33218887680.a

Formats: - HTML - YAML - JSON - 2025-10-08T23:57:27.122793

• 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': '2.1', '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': [[2103019424545929884125557212701693342558019423716859496, 247418463966267084955221907810551029450677062704155560], [1792342902703225792204153734281547264951916833802742422, 1297539551790642923367266744219764515446020214177166696], [1668564997454496107863059720809745998416341816951252479, 123640873336823543405235261880737937258756858957174440], [431474516598445742441424740482293234242870714833935942, 1237124330582969886067031425497639849122903870701251120], [2226796869195371226322102428215541054140085774227088023, 1916016453377028146760667875640311178941369402362928120], [555285393376851615711917010988126256705484981131592383, 184055801425722698619016723616712869212643291346561982], [2163401465905293815853279260121870403128222269018347577, 865895073578809426977301022155839417839070239805456136], [1979378865785645440014778693770470558680727054285812417, 1050122071219929747006843057120731438962040812044501817], [2103019424545929884125557212701719194574758308693499497, 247418463966267084955221907810551029450677062704155560], [2103019424545929892808874831513605690092952709973499377, 247418463966267084955221907810551029450677062704150400], [2103019424545919550977590826556789527923420785493494457, 247418463966267084955221907810551029450677062704150400], [2103019424545929884125557212701719245665700480402939496, 247418463966267084955221907826062290584950220397595560], [2103019404148037469780147467916507788020523428693494337, 247418463966267093638539526622437524847226363575323560], [2103019424545919550977590826556763675785036800108385336, 247418463966267084955221907810551029329031962255401600], [2103019404148037478463465086728368431400332536914017216, 247418463966267084955221907810551029450678370338601600], [2163434667211411305417502599984995984601989919752289337, 247418463966267084955221907826062290463306421435747880], [2163434687609293386614945947720922864847355742658294337, 247418443568385012441096167997666994987661294166385920], [2102985972019316729001766661451526397202902264874105576, 247418463966267093638539526622437524847226363575318400], [2163401214698561903393161221530942230215201623485300536, 247451896081234423156977993013404456157745543766385920], [2102985972019306387170482656494710286124312518330566257, 247418463966277426786505912782878452632837038241737600], [2163401214698561894709843613623436395158690368957300416, 247451896094998176248204348948589886157678606934391080], [2102985972033070148953249448102710023580487227053921217, 247451916492880248762330088776985181633679427858864680], [2163401214698561903393152390673329150974930232847963496, 247451896095008509404384731985703736046432256074155520], [2103019404148037478471679072716172005145363894996571497, 247418443568395345589062554127085502686964382885470720], [2102985972033070148945017767686538361182095225824377577, 247418443568395345597276551019269685802735408376854400], [2102985972019306395862014261294400253327297714634486336, 307833727029640920600791036786760419995754166931134720], [2102985951635188067747583261712630970352250382785396416, 307867179542490331316672872691341479567095998667377920], [2163434667211421638573691813879748765504463643607822703, 247418463952503331872209559671904642102758441120476800], [2103019424545929884125557212701693342558019423716859496, 247418443568385003765992546062453523754494198284657920], [2103019424545929884125557212701693342558019423716859496, 247418463966267084955221907810551029450677062704155560], [2163401214698561903393152379768974393499637422127297223, 247418463966267084955221907810551029450677062704155560], [2103019404161811556019340188203346921775019822564859496, 247418463966277426794719920563932035197664454647502760]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 66437775360, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': None, 'aut_solvable': None, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 11, 1, 2], [2, 12, 2, 1], [2, 22, 2, 1], [2, 55, 1, 2], [2, 66, 1, 2], [2, 66, 4, 1], [2, 110, 2, 1], [2, 132, 1, 2], [2, 132, 2, 3], [2, 165, 1, 2], [2, 165, 2, 2], [2, 220, 1, 3], [2, 220, 2, 2], [2, 330, 1, 2], [2, 330, 2, 4], [2, 330, 4, 2], [2, 396, 1, 2], [2, 396, 4, 1], [2, 440, 1, 2], [2, 495, 2, 2], [2, 660, 1, 2], [2, 660, 2, 9], [2, 660, 4, 5], [2, 792, 1, 2], [2, 792, 2, 5], [2, 990, 1, 4], [2, 990, 2, 6], [2, 990, 4, 3], [2, 1320, 1, 4], [2, 1320, 2, 15], [2, 1320, 4, 7], [2, 1980, 1, 21], [2, 1980, 2, 16], [2, 1980, 4, 10], [2, 2640, 1, 2], [2, 2640, 2, 6], [2, 2640, 4, 1], [2, 3960, 1, 16], [2, 3960, 2, 102], [2, 3960, 4, 38], [2, 7920, 1, 18], [2, 7920, 2, 72], [2, 7920, 4, 33], [2, 42240, 1, 2], [2, 126720, 1, 2], [2, 168960, 2, 1], [2, 253440, 2, 1], [2, 506880, 1, 3], [3, 1802240, 1, 1], [4, 42240, 1, 2], [4, 42240, 2, 2], [4, 126720, 1, 2], [4, 126720, 2, 2], [4, 168960, 1, 4], [4, 168960, 2, 13], [4, 168960, 4, 6], [4, 253440, 1, 8], [4, 253440, 2, 11], [4, 253440, 4, 6], [4, 506880, 1, 31], [4, 506880, 2, 97], [4, 506880, 4, 48], [4, 1013760, 1, 24], [4, 1013760, 2, 122], [4, 1013760, 4, 45], [4, 16220160, 1, 4], [4, 32440320, 1, 2], [4, 32440320, 2, 2], [5, 103809024, 1, 1], [6, 1802240, 1, 3], [6, 1802240, 2, 4], [6, 1802240, 4, 1], [6, 3604480, 1, 4], [6, 3604480, 2, 6], [6, 3604480, 4, 2], [6, 5406720, 1, 4], [6, 5406720, 2, 12], [6, 5406720, 4, 5], [6, 10813440, 1, 12], [6, 10813440, 2, 34], [6, 10813440, 4, 14], [6, 86507520, 1, 2], [6, 86507520, 2, 1], [8, 16220160, 1, 4], [8, 16220160, 2, 4], [8, 32440320, 1, 10], [8, 32440320, 2, 32], [8, 32440320, 4, 10], [8, 259522560, 1, 8], [10, 103809024, 1, 7], [10, 103809024, 2, 16], [10, 103809024, 4, 6], [11, 754974720, 1, 2], [12, 86507520, 1, 6], [12, 86507520, 2, 15], [12, 86507520, 4, 6], [16, 259522560, 1, 8], [16, 259522560, 2, 8], [22, 754974720, 1, 2], [22, 754974720, 2, 2]], '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, 1, 1], [2, 11, 2], [2, 12, 2], [2, 22, 2], [2, 55, 2], [2, 66, 6], [2, 110, 2], [2, 132, 8], [2, 165, 6], [2, 220, 7], [2, 330, 18], [2, 396, 6], [2, 440, 2], [2, 495, 4], [2, 660, 40], [2, 792, 12], [2, 990, 28], [2, 1320, 62], [2, 1980, 93], [2, 2640, 18], [2, 3960, 372], [2, 7920, 294], [2, 42240, 2], [2, 126720, 2], [2, 168960, 2], [2, 253440, 2], [2, 506880, 3], [3, 1802240, 1], [4, 42240, 6], [4, 126720, 6], [4, 168960, 54], [4, 253440, 54], [4, 506880, 417], [4, 1013760, 448], [4, 16220160, 4], [4, 32440320, 6], [5, 103809024, 1], [6, 1802240, 15], [6, 3604480, 24], [6, 5406720, 48], [6, 10813440, 136], [6, 86507520, 4], [8, 16220160, 12], [8, 32440320, 114], [8, 259522560, 8], [10, 103809024, 63], [11, 754974720, 2], [12, 86507520, 60], [16, 259522560, 24], [22, 754974720, 6]], 'center_label': '2.1', 'center_order': None, 'central_product': None, 'central_quotient': None, 'commutator_count': None, 'commutator_label': '16609443840.a', 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '7920.a'], 'composition_length': 23, 'conjugacy_classes_known': False, 'counter': 1, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': None, 'direct_product': None, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 11, 1, 2], [2, 12, 1, 2], [2, 22, 1, 2], [2, 55, 1, 2], [2, 66, 1, 6], [2, 110, 1, 2], [2, 132, 1, 8], [2, 165, 1, 6], [2, 220, 1, 7], [2, 330, 1, 18], [2, 396, 1, 6], [2, 440, 1, 2], [2, 495, 1, 4], [2, 660, 1, 40], [2, 792, 1, 12], [2, 990, 1, 28], [2, 1320, 1, 62], [2, 1980, 1, 93], [2, 2640, 1, 18], [2, 3960, 1, 372], [2, 7920, 1, 294], [2, 42240, 1, 2], [2, 126720, 1, 2], [2, 168960, 1, 2], [2, 253440, 1, 2], [2, 506880, 1, 3], [3, 1802240, 1, 1], [4, 42240, 1, 6], [4, 126720, 1, 6], [4, 168960, 1, 54], [4, 253440, 1, 54], [4, 506880, 1, 417], [4, 1013760, 1, 448], [4, 16220160, 1, 4], [4, 32440320, 1, 4], [4, 32440320, 2, 1], [5, 103809024, 1, 1], [6, 1802240, 1, 15], [6, 3604480, 1, 24], [6, 5406720, 1, 48], [6, 10813440, 1, 88], [6, 10813440, 2, 24], [6, 86507520, 1, 4], [8, 16220160, 1, 12], [8, 32440320, 1, 60], [8, 32440320, 2, 27], [8, 259522560, 2, 4], [10, 103809024, 1, 15], [10, 103809024, 2, 24], [11, 754974720, 2, 1], [12, 86507520, 1, 60], [16, 259522560, 2, 12], [22, 754974720, 2, 3]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 2640, 'exponents_of_order': [26, 2, 1, 1], 'factors_of_aut_order': [2, 3, 5, 11], 'factors_of_order': [2, 3, 5, 11], 'faithful_reps': None, 'familial': False, 'frattini_label': None, 'frattini_quotient': '16220160.a', 'hash': 511836292935465736, 'hyperelementary': 1, 'inner_abelian': None, 'inner_cyclic': None, 'inner_exponent': None, 'inner_gen_orders': None, 'inner_gens': None, 'inner_hash': None, 'inner_nilpotent': None, 'inner_order': None, 'inner_split': None, 'inner_tex': None, 'inner_used': None, 'irrC_degree': None, 'irrQ_degree': None, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': None, 'label': '33218887680.a', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'C2^22.M11', 'ngens': 2, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 1130, 'number_characteristic_subgroups': 9, 'number_conjugacy_classes': 2512, 'number_divisions': 2416, 'number_normal_subgroups': 11, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 33218887680, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 6897663], [3, 1802240], [4, 948879360], [5, 103809024], [6, 2189721600], [8, 5969018880], [10, 6539968512], [11, 1509949440], [12, 5190451200], [16, 6228541440], [22, 4529848320]], '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': '4.2', 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 4, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': 'C_2^2', 'pc_rank': None, 'perfect': False, 'permutation_degree': 44, 'pgroup': 0, 'primary_abelian_invariants': [2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': None, 'representations': {'Perm': {'d': 44, 'gens': [247418463966267084955221907810551029450677062704155560, 2103019424545929884125557212701693342558019423716859496]}}, 'schur_multiplier': [2, 2], 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [2], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 792, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_2^{22}.M_{11}', 'transitive_degree': 44, 'wreath_data': None, 'wreath_product': None}
• ['group_order', 'group_counter'] [33218887680, 1] does not appear in gps_conj_classes
• group 33218887680.a does not appear in gps_qchar
• group 33218887680.a does not appear in gps_char
• gps_subgroup_search •

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

  
  
  • id: 9566187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 33218887680, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 330, 'label': '33218887680.a.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': False, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '33218887680.a', 'subgroup_hash': None, 'subgroup_order': 33218887680, 'subgroup_tex': 'C_2^{22}.M_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 9566298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16609443840, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.2.a1.a1', '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': True, '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': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16609443840.a', 'subgroup_hash': None, 'subgroup_order': 16609443840, 'subgroup_tex': 'C_2^{21}.M_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 9566409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 30, 'label': '33218887680.a.11.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11.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': 11, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3019898880, 'subgroup_tex': 'C_2^{22}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566520
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.12.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2768240640.g', 'subgroup_hash': None, 'subgroup_order': 2768240640, 'subgroup_tex': 'C_2^{22}.\\PSL(2,11)', 'supersolvable': False, 'sylow': 0}
  • id: 9566631
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.22._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.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': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1509949440, 'subgroup_tex': 'C_2^{22}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.22._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.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': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1509949440, 'subgroup_tex': 'C_2^{21}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566853
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.22._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.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': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1509949440, 'subgroup_tex': 'C_2^{21}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.22._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.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': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1509949440, 'subgroup_tex': 'C_2^{21}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566929
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.22._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.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': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1509949440, 'subgroup_tex': 'C_2^{21}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.22._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.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': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1509949440, 'subgroup_tex': 'C_2^{21}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.22._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.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': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1509949440, 'subgroup_tex': 'C_2^{21}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.24._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1384120320.e', 'subgroup_hash': None, 'subgroup_order': 1384120320, 'subgroup_tex': 'C_2^{21}.\\PSL(2,11)', 'supersolvable': False, 'sylow': 0}
  • id: 9566221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.24._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1384120320.e', 'subgroup_hash': None, 'subgroup_order': 1384120320, 'subgroup_tex': 'C_2^{21}.\\PSL(2,11)', 'supersolvable': False, 'sylow': 0}
  • id: 9566232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.24._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1384120320.e', 'subgroup_hash': None, 'subgroup_order': 1384120320, 'subgroup_tex': 'C_2^{21}.\\PSL(2,11)', 'supersolvable': False, 'sylow': 0}
  • id: 9566243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.44._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.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': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 754974720, 'subgroup_tex': 'C_2^{20}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.44._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.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': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 754974720, 'subgroup_tex': 'C_2^{21}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.44._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.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': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 754974720, 'subgroup_tex': 'C_2^{21}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.44._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.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': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 754974720, 'subgroup_tex': 'C_2^{21}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.44._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.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': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 754974720, 'subgroup_tex': 'C_2^{20}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.44._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.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': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 754974720, 'subgroup_tex': 'C_2^{20}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.44._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.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': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 754974720, 'subgroup_tex': 'C_2^{20}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.44._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.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': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '754974720.f', 'subgroup_hash': None, 'subgroup_order': 754974720, 'subgroup_tex': 'C_2^{20}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.44._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.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': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 754974720, 'subgroup_tex': 'C_2^{21}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.44._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.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': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '754974720.f', 'subgroup_hash': None, 'subgroup_order': 754974720, 'subgroup_tex': 'C_2^{20}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.44._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.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': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 754974720, 'subgroup_tex': 'C_2^{21}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '692060160.b', 'subgroup_hash': None, 'subgroup_order': 692060160, 'subgroup_tex': 'C_2^{20}.\\PSL(2,11)', 'supersolvable': False, 'sylow': 0}
  • id: 9566376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '33218887680.a.55.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.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': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 603979776, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.66.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66.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': 66, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 503316480, 'subgroup_tex': 'C_2^{22}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.88._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.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': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 377487360, 'subgroup_tex': 'C_2^{20}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.88._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.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': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '377487360.a', 'subgroup_hash': None, 'subgroup_order': 377487360, 'subgroup_tex': 'C_2^{20}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.88._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.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': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '377487360.a', 'subgroup_hash': None, 'subgroup_order': 377487360, 'subgroup_tex': 'C_2^{20}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.88._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.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': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '377487360.a', 'subgroup_hash': None, 'subgroup_order': 377487360, 'subgroup_tex': 'C_2^{20}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.88._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.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': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 377487360, 'subgroup_tex': 'C_2^{20}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.88._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.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': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '377487360.k', 'subgroup_hash': None, 'subgroup_order': 377487360, 'subgroup_tex': 'C_2^{19}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.88._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.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': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '377487360.l', 'subgroup_hash': None, 'subgroup_order': 377487360, 'subgroup_tex': 'C_2^{19}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.110._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 301989888, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566487
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.110._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 301989888, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^5.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.110._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 301989888, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.110._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 301989888, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566521
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.110._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 301989888, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566532
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.110._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 301989888, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.110._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 301989888, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.110._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 301989888, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566565
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.110._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 301989888, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.110._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 301989888, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^5.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566587
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.110._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 301989888, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^4.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.110._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 301989888, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.110._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 301989888, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566620
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.110._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 301989888, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566632
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.110._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 301989888, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^4.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.132._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.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': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 251658240, 'subgroup_tex': 'C_2^{22}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566654
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.132._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.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': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 251658240, 'subgroup_tex': 'C_2^{21}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.132._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.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': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 251658240, 'subgroup_tex': 'C_2^{21}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.132._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.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': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 251658240, 'subgroup_tex': 'C_2^{21}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566687
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.132._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.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': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 251658240, 'subgroup_tex': 'C_2^{21}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.132._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.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': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 251658240, 'subgroup_tex': 'C_2^{21}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566709
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.132._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.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': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 251658240, 'subgroup_tex': 'C_2^{21}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.132._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.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': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 251658240, 'subgroup_tex': 'C_2^{21}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566731
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.132._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.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': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 251658240, 'subgroup_tex': 'C_2^{21}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.132._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.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': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 251658240, 'subgroup_tex': 'C_2^{21}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.132._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.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': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 251658240, 'subgroup_tex': 'C_2^{21}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.132._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.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': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 251658240, 'subgroup_tex': 'C_2^{21}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.132._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.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': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 251658240, 'subgroup_tex': 'C_2^{21}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.132._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.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': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 251658240, 'subgroup_tex': 'C_2^{21}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.132._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.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': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 251658240, 'subgroup_tex': 'C_2^{21}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.132._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.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': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 251658240, 'subgroup_tex': 'C_2^{22}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566820
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.144.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.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': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 230686720, 'subgroup_tex': 'C_2^{20}.C_{11}.C_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.165.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '165.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': 165, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 201326592, 'subgroup_tex': 'C_2^{13}.C_2.C_2^6.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566842
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.176.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '188743680.c', 'subgroup_hash': None, 'subgroup_order': 188743680, 'subgroup_tex': 'C_2^{19}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566854
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566865
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566876
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^3.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566887
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566898
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566909
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^3.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566919
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566920
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566921
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^3.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566926
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566935
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^3.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^6', 'supersolvable': False, 'sylow': 0}
  • id: 9566200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.220._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 150994944, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{20}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.264._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '264.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': 264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125829120, 'subgroup_tex': 'C_2^{21}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566303
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.288._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 115343360, 'subgroup_tex': 'C_2^{20}.C_{11}.C_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 9566304
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.288._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 115343360, 'subgroup_tex': 'C_2^{20}.C_{11}.C_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 9566305
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.288._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 115343360, 'subgroup_tex': 'C_2^{20}.C_{11}.C_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 9566306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.330._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100663296, 'subgroup_tex': 'C_2^{13}.C_2.C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.330._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100663296, 'subgroup_tex': 'C_2^{13}.C_2.C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.330._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100663296, 'subgroup_tex': 'C_2^{13}.C_2.C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.330._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100663296, 'subgroup_tex': 'C_2^{13}.C_2.C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.330._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100663296, 'subgroup_tex': 'C_2^{13}.C_2.C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.330._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100663296, 'subgroup_tex': 'C_2^{13}.C_2.C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.330._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100663296, 'subgroup_tex': 'C_2^{13}.C_2.C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.330._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100663296, 'subgroup_tex': 'C_2^9.C_2^5.C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.330._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100663296, 'subgroup_tex': 'C_2^{13}.C_2.C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.330._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100663296, 'subgroup_tex': 'C_2^{13}.C_2.C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.330._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100663296, 'subgroup_tex': 'C_2^{13}.C_2.C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.330._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100663296, 'subgroup_tex': 'C_2^{13}.C_2.C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.330._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100663296, 'subgroup_tex': 'C_2^{13}.C_2.C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.330._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100663296, 'subgroup_tex': 'C_2^{13}.C_2.C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.330._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100663296, 'subgroup_tex': 'C_2^{13}.C_2.C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.330._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100663296, 'subgroup_tex': 'C_2^{16}.A_4.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.396.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '396.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': 396, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 83886080, 'subgroup_tex': 'C_2^{16}.C_{10}.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566328
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2\\times C_2^{16}.C_6^2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^3.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^3.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566407
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566408
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 9566444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 9566445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 9566470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 9566471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566477
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566478
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566480
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566485
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566486
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566488
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566489
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566490
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566491
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566492
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566493
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566494
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566496
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^3.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^3.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566500
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566501
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566506
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566507
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566511
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.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': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566522
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566523
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566525
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566527
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566529
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566533
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566534
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566538
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566544
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.HZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.ID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 9566562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.II', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 9566569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566578
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566581
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.IZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566588
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566589
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566591
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566593
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566595
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566596
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566599
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566611
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566612
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.JZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 9566615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566619
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566621
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566622
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566625
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566627
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{12}.C_3.C_2^6.C_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 9566628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566629
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566630
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566633
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566634
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566635
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566640
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.KZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.KZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566642
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.LA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.LA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.LB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.LB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566645
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.LC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.LC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566646
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.LD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.LD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566647
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.LE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.LE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566648
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.LF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.LF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566649
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.LG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.LG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.LH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.LH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566651
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.LI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.LI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566652
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.LJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566653
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.LK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.LK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 9566655
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.LL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.LL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566656
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.LM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.LM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566657
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.LN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.LN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.LO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.LO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.LP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.LP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566660
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.440._.LQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.LQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 75497472, 'subgroup_tex': 'C_2^{16}.C_3:S_3.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 9566661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '33218887680.a.495.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '495.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': 495, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 67108864, 'subgroup_tex': 'C_2^9.C_2^6.C_2^5.C_2^6', 'supersolvable': True, 'sylow': 2}
  • id: 9566662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{19}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566663
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{19}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{19}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{19}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{19}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{19}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{19}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{19}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '62914560.ta', 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '62914560.ta', 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566688
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{19}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '62914560.ta', 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{19}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{19}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{19}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{19}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{19}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{19}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{19}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566705
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{19}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{19}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{19}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566708
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{19}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '62914560.ta', 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566718
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '62914560.ta', 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566725
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566727
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566729
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566730
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566732
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '62914560.ta', 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.528._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '528.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': 528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62914560, 'subgroup_tex': 'C_2^{20}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566749
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.576.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '57671680.b', 'subgroup_hash': None, 'subgroup_order': 57671680, 'subgroup_tex': 'C_2^{20}.C_{11}.C_5', 'supersolvable': False, 'sylow': 0}
  • id: 9566750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566768
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566771
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566775
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{13}.C_2^5.C_2^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^6', 'supersolvable': False, 'sylow': 0}
  • id: 9566791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{14}.C_2^4.C_6.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^6', 'supersolvable': False, 'sylow': 0}
  • id: 9566829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566834
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566835
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566836
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566837
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566838
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566840
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566841
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566843
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566844
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{14}.C_2^4.C_6.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566845
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566846
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566847
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566849
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566850
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566852
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566855
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566856
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566857
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566858
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{16}.A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566859
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{12}.C_6.C_2^6.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566860
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{10}.C_2.C_2^6.A_4.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566861
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.660._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50331648, 'subgroup_tex': 'C_2^{10}.C_2.C_2^6.A_4.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566862
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.704.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '704.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': 704, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 47185920, 'subgroup_tex': 'C_2^{17}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 9566863
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.720.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '720.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': 720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 46137344, 'subgroup_tex': 'C_2^{20}.C_{22}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566864
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4194304, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_{10}.C_2^6', 'supersolvable': False, 'sylow': 0}
  • id: 9566866
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566867
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566868
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566869
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566870
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566871
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2097152, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566872
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566874
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.D_{10}.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566875
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.D_{10}.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566877
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566878
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566879
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566880
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566881
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.D_{10}.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566882
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.D_{10}.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566883
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566886
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566888
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566889
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566890
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566891
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566892
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566893
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566894
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.D_{10}.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566895
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.D_{10}.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 9566896
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566897
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.792._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '792.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': 792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41943040, 'subgroup_tex': 'C_2^{16}.C_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 9566899
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.1024._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1024.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': 1024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32440320.b', 'subgroup_hash': None, 'subgroup_order': 32440320, 'subgroup_tex': 'C_2^{12}.M_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 9566900
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.1024._.B', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1024.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': 1024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32440320.c', 'subgroup_hash': None, 'subgroup_order': 32440320, 'subgroup_tex': 'C_2^{12}.M_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 9566901
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4194304, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.7920._.A', 'maximal': False, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '7920.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '7920.a', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 7920, 'quotient_simple': True, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'M_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4194304, 'subgroup_tex': 'C_2^{22}', 'supersolvable': True, 'sylow': 0}
  • id: 9566902
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2097152, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.15840._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '15840.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '15840.q', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 15840, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times M_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2097152, 'subgroup_tex': 'C_2^{21}', 'supersolvable': True, 'sylow': 0}
  • id: 9566903
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.8110080._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8110080.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8110080.a', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 8110080, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^{10}.M_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bri', 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^{12}', 'supersolvable': True, 'sylow': 0}
  • id: 9566904
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.16220160._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16220160.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16220160.b', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 16220160, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^{11}.M_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^{11}', 'supersolvable': True, 'sylow': 0}
  • id: 9566905
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.16220160._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16220160.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16220160.a', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 16220160, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^{11}.M_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^{11}', 'supersolvable': True, 'sylow': 0}
  • id: 9566906
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.16220160._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16220160.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16220160.b', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 16220160, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^{11}.M_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^{11}', 'supersolvable': True, 'sylow': 0}
  • id: 9566907
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '33218887680.a.32440320._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '32440320.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 32440320, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^{12}.M_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.djt', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^{10}', 'supersolvable': True, 'sylow': 0}
  • id: 9566908
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 749, 'cyclic': True, 'direct': None, 'hall': 11, 'label': '33218887680.a.3019898880.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3019898880.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': 3019898880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': None, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 11}
  • id: 9566910
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '33218887680.a.3690987520.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3690987520.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': 3690987520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': None, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 3}
  • id: 9566911
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 751, 'cyclic': True, 'direct': None, 'hall': 5, 'label': '33218887680.a.6643777536.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6643777536.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': 6643777536, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': None, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
  • id: 9566912
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2, 'counter': 752, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '33218887680.a.16609443840._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '16609443840.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 16609443840, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^{21}.M_{11}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 9566913
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '33218887680.a', 'ambient_counter': 1, 'ambient_order': 33218887680, 'ambient_tex': 'C_2^{22}.M_{11}', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 753, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '33218887680.a.33218887680.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '33218887680.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '33218887680.a', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 33218887680, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^{22}.M_{11}', '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: 9566187
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [247418463966267084955221907810551029450677062704155560, 2103019424545929884125557212701693342558019423716859496], 'label': '33218887680.a.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: 9566188
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [20397882081197443358640281739902898664474368000, 8841761993739701954549843020800, 20411645834288669703686597719484478259200000000, 5160, 40279687, 10904380660461684460653388800, 51090942177936460800, 1173728487147965394082845244468972979971709161589857792, 8231680416171662519681420397388800, 8683326460573880235220148951123383801, 25903107682370587468800, 10888869450418353468442368000, 60448715589997341283978998407961826639508000192681647, 122002101738316800, 33452526613172490434630651444937106442948244919801, 362881, 33514780430046911140725505634840422750174344810823, 355693655116800, 121, 60448715589986999444463313034974001950294655275008000, 1313941668480, 1307674368120, 5167], 'label': '33218887680.a.22._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566189
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 148913609346863496802887901786867949147376, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 148913609346863496802887901786867949147496, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566190
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 148913609346863496802887901786867949147376, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566191
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 2287212215998789536277408675508642866212651441934447319, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566192
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 2287212215998694095819623845903407506149638016935619136, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566193
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 148913609346863496802887901786867949147496, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566194
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [2474215041187891487761935606054697360793453496710166982, 355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566195
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [2474215041187891487761935606054697360793453496710166982, 355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 2474215041187891487761935606054697360793453496710167102, 121, 51091297859137536000, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566196
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 2287212215998694095819623845903407506149638016895702336, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 1307674731000, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566197
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 2474215041187891487761935606054697360793453496710167102, 121, 51091297859137536000, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566198
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566199
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [20397882081197443358640281739902898664474368000, 8841761993739701954549843020800, 20411645834288669703686597719484478259200000000, 5160, 40279687, 10904380660461684460653388800, 51090942177936460800, 1173728487147965394082845244468972979971709161589857792, 8231680416171662519681420397388800, 8683326460573880235220148951123383801, 25903107682370587468800, 10888869450418353468442368000, 60448715589997341283978998407961826639508000192681647, 122002101738316800, 33514766666293819914380459318860841169271944810823, 33452526613172490434630651444937106442948244919801, 362881, 355693655116800, 121, 60448715589986999444463313034974001950294655275008000, 1313941668480, 1307674368120, 5167], 'label': '33218887680.a.22._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566200
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 2287212215998694095819623845903407506149638016895702336, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 121, 51091297859137536000, 120, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566201
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998694095819623845903407506149639324609987136, 494869920991270647315549459955362146295742894875210937, 5167, 1307674731000, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566202
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 121, 51091297859137536000, 120, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998694095819623845903407506149639324609987136, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566203
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 2287212215998694095819623845903407506149638016895702336, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 362880, 5041, 33472924505578152526756609284439024593460592640001, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566204
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 2287212215998694095819623845903407506149638016895702336, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566205
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 362880, 5041, 33472924505578152526756609284439024593460592640001, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998694095819623845903407506149639324609987136, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566206
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998694095819623845903407506149639324609987136, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566207
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [2474215041187891487761935606054697360793453496710166982, 355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 2474215041187891487761935606054697360793453496710167102, 121, 51091297859137536000, 20411656176128185389059585544295691078012928000, 2474215041187891487761935606054697360793453496710529982, 1313941668480, 2534597563501370656827813614171074178315043078705726721, 2287212215998694095819623845903407506149639324609987136, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566208
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [2474215041187891487761935606054697360793453496710166982, 355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 121, 51091297859137536000, 20411656176128185389059585544295691078012928000, 2474215041187891487761935606054697360793453496710529982, 1313941668480, 2534597563501370656827813614171074178315043078705726721, 2287212215998694095819623845903407506149639324609987136, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566209
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 2474215041187891487761935606054697360793453496710167102, 121, 51091297859137536000, 20411656176128185389059585544295691078012928000, 2474215041187891487761935606054697360793453496710529982, 1313941668480, 2534597563501370656827813614171074178315043078705726721, 2287212215998694095819623845903407506149639324609987136, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566210
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [60448736001643175572648702094559495033042780008868606, 60448715589986999444463313034948098720614124693668480, 60448736001643175572648702094559546123984945491292847, 60448736001643175572648702094559546123986259392681527, 60448736001643175572648691190178885662303112640681647, 10888895302556737453827845041, 60448736001643175572648702094559546123986259392676487, 60448736001643175572648702094559546123629264289854766, 60448736001643175572648702094559546123986259352401967, 60448736001643175564417021678361980374624308373668480, 362881, 1307674368001, 60448736001643175572639849443670452895642810894137600, 60448715603761085691878871991528069491289937790782640, 1307674368000, 60448736001643175572648702094559546001985471555753647, 618477216148916224655213231437459862668303797302402513, 60448736001643175572648702094559546123986259392681640, 60448736001632833741364697137743383954454334912681647, 33452540387250054523750796372312359046594308207921, 14061598253223959140997004538110626586168263, 60448736001643166889331083282647198589052973136041647, 60448736001643175572648702094533643016305202706601647], 'label': '33218887680.a.24._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566211
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 121, 51091297859137536000, 20411656176128185389059585544295691078012928000, 2474215041187891487761935606054697360793453496710529982, 1313941668480, 2534597563501370656827813614171074178315043078705726721, 2287212215998694095819623845903407506149639324609987136, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566212
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [2474215041187891487761935606054697360793453496710166982, 355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 2474215041187891487761935606054697360793453496710167102, 121, 51091297859137536000, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998694095819623845903407506149639324609987136, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566213
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [2474215041187891487761935606054697360793453496710166982, 355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998694095819623845903407506149639324609987136, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566214
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 10904406563691364991275008007, 8683317629700781798074930547433477046, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 2474215041187891487761935606054697360793453496710167102, 121, 51091297859137536000, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998694095819623845903407506149639324609987136, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566215
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 10904406563691364991275008007, 8683317629700781798074930547433477046, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998694095819623845903407506149639324609987136, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566216
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 51091297859137536000, 1307674368121, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998789536277408675508642866212650134260079319, 2287178763472080932012515664952484614979620704167619256, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566217
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998789536277408675508642866212650134260079319, 2287178763472080932012515664952484614979620704167619256, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566218
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 2287212215998694095819623845903407506149638016935619256, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 51091297859137536000, 1307674368121, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998789536277408675508642866212650134260079319, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566219
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 2287212215998694095819623845903407506149638016935619256, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998789536277408675508642866212650134260079319, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566220
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 1113313286310848710216962769177707260795074420002007681, 10888869501509650019905536006, 1113313286310848710216962769177707260795074420002007801, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 121, 51091297859137536000, 20411656176128185389059585544295691078012928000, 2474215041187891487761935606054697360793453496710529982, 1313941668480, 2534597563501370656827813614171074178315043078705726721, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566221
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [60448736001643175572648702094559495033042780008868606, 60415283461255925518124951298187233764939665084473726, 60448715589986999444463313034948098720614124693668480, 60448736001643175572648702094559546123984945491292847, 60448736001643175572648691190178885662303112640681647, 10888895302556737453827845041, 60448736001643175572648702094559546123986259392676487, 60448736001643175572648702094559546123629264289854766, 60448736001643175572648702094559546123986259352401967, 60448736001643175564417021678361980374624308373668480, 362881, 1307674368001, 60448736001643175572639849443670452895642810894137600, 60448715603761085691878871991528069491289937790782640, 60448736001643175572648702094559546001985471555753647, 60448736001643175572648702094559546123984951718313647, 60448736001643175572648702094559546123986259392681640, 60448736001632833741364697137743383954454334912681647, 678925952150559400227861933532019408791576054035388798, 120, 14061598253223959140997004538110626586168263, 60448736001643166889331083282647198589052973136041647, 60448736001643175572648702094533643016305202706601647], 'label': '33218887680.a.24._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566222
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 1113313286310848710216962769177707260795074420002007681, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 121, 2287212215998694095819623845903407506149638016935619136, 51091297859137536000, 20411656176128185389059585544295691078012928000, 2474215041187891487761935606054697360793453496710529982, 1313941668480, 2534597563501370656827813614171074178315043078705726721, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566223
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 1113313286310848710216962769177707260795074420002007801, 2287212215998694095819623845903407506149638016935619256, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 121, 51091297859137536000, 20411656176128185389059585544295691078012928000, 2474215041187891487761935606054697360793453496710529982, 1313941668480, 2534597563501370656827813614171074178315043078705726721, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566224
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 2287212215998694095819623845903407506149638016935619256, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 121, 2287212215998694095819623845903407506149638016935619136, 51091297859137536000, 20411656176128185389059585544295691078012928000, 2474215041187891487761935606054697360793453496710529982, 1313941668480, 2534597563501370656827813614171074178315043078705726721, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566225
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 148913609338010845939697781478855890779496, 122000787836933160, 2474215041187891487761935606054697360793452189035798983, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 2287212215998694095819623845903407506149638016935619256, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 51091297859137536000, 1307674368121, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566226
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 148913609338010845939697781478855890779496, 122000787836933160, 2474215041187891487761935606054697360793452189035798983, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 2287212215998694095819623845903407506149638016935619256, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 51091297859137536000, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566227
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 2474215041187891487761935606054697360793452189035798983, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 2287212215998694095819623845903407506149638016935619256, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 51091297859137536000, 1307674368121, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566228
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 2474215041187891487761935606054697360793452189035798983, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 2287212215998694095819623845903407506149638016935619256, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 51091297859137536000, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566229
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 1307674368001, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 51091297859137536000, 1307674368121, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566230
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 1307674368001, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566231
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 51091297859137536000, 1307674368121, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566232
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [5160, 356995102826881, 40279680, 10888895302556737453827845041, 60448735988177267643402287587862987730882061002967816, 10904380660461683146752000000, 1313901388800, 20411656176128185389059611447403372134699013167, 25903107681056686080000, 7, 10341831284004956816162169531924480000000, 362881, 20397882089880769830103031476632696321601899007, 1307674368001, 33452540387250054523750796372312359046594308208041, 51090943479383813041, 8852650889093228343448498544047, 33452540387250054523750796372312359045286633839921, 122000787836928000, 678892499610172150173338182735647096432532075076642639, 8231680416197565749361951019013167, 8683317618811912347534933286256640000, 60448736001643175572648702094559546123986259392681647], 'label': '33218887680.a.24._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566233
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566234
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 148913609338010845939697781478855890779496, 122000787836933160, 2474215041187891487761935606054697360793452189035798983, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 51091297859137536000, 1307674368121, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566235
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 148913609338010845939697781478855890779496, 122000787836933160, 2474215041187891487761935606054697360793452189035798983, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 51091297859137536000, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566236
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 2474215041187891487761935606054697360793452189035798983, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 51091297859137536000, 1307674368121, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566237
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 2474215041187891487761935606054697360793452189035798983, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 51091297859137536000, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566238
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 5160, 40279687, 10904380660461684460653388800, 989673020669338175422316563188554404308524572476599742, 25903107682370587468800, 122000787877207680, 2226797560617273760695555507615429316842354847806245160, 1313901388800, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 10888869501509295646378828800, 355687428096001, 60448715589986999444463313034974001828295181339473960, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566239
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 60449176146379393514453596084678994693582568850420433, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 989672706106775557497174106711112285960009141981443072, 20411656176128185389059585544295691078053207687, 7, 60448715589986999444463313034974001828295181339473841, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 1307674368000, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566240
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 60449176146379393514453596084678994693582568850420433, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 989672706106775557497174106711112285960009141981443072, 20411656176128185389059585544295691078053207687, 7, 60448715589986999444463313034974001828295181339473841, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 60448715589986999444463313034974001828293873665105960, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566241
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 60449176146379393514453596084678994693582568850420433, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 989672706106775557497174106711112285960009141981443072, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 121, 1313901393960, 10888869501509295646378828800, 60448715589986999444463313034974001828293873665105960, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566242
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 60449176146379393514453596084678994693582568850420433, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 989672706106775557497174106711112285960009141981443072, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 1307674368000, 51090942171709440120, 121, 1313901393960, 10888869501509295646378828800, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566243
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [5160, 40279687, 10888869450418352160768000006, 8841761993739701954543616000001, 10904380660461683146752000007, 123674325849672954121117097800856007799226389944249607, 8231680416171662519680106496000007, 51090942171709440001, 20397892414353632594328284631928697896747761846, 25903107681056686080007, 20411656176128185399963992107865056595392681647, 8683326460589391496354777790017536001, 122000787836928007, 10341839515696277394388258577548355753647, 121, 60448736001643175572648702094559546123986259392681647, 355687428096001, 1313941668480, 363000, 1307674368120, 732161357714419068159507852168479831162129102657, 5167], 'label': '33218887680.a.44._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566244
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 5160, 60449176146379393514453596084678994693582568850420433, 40279687, 10904380660461684460653388800, 25903107682370587468800, 122000787877207680, 989672706106775557497174106711112285960009141981443072, 1313901388800, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 121, 10888869501509295646378828800, 355687428096001, 60448715589986999444463313034974001828295181339473960, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566245
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 5160, 60449176146379393514453596084678994693582568850420433, 40279687, 10904380660461684460653388800, 25903107682370587468800, 122000787877207680, 989672706106775557497174106711112285960009141981443072, 1313901388800, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 10888869501509295646378828800, 1307674368121, 355687428096001, 1307674368120, 60448715589986999444463313034974001828295181339473960, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566246
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 5160, 60449176146379393514453596084678994693582568850420433, 40279687, 10904380660461684460653388800, 25903107682370587468800, 122000787877207680, 989672706106775557497174106711112285960009141981443072, 1313901388800, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 1307674368000, 51090942171709440120, 10888869501509295646378828800, 355687428096001, 60448715589986999444463313034974001828295181339473960, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566247
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [989673020669338175422316563188554404308523264802231742, 20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 2226797560617273760695555507599918106799023861822245160, 20411656176128185389059585544295691078053207687, 7, 60448715589986999444463313034974001828295181339473841, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566248
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 20411656176128185389059585544295691078053207687, 7, 60448715589986999444463313034974001828295181339473841, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 1050121736259325174866779876223476599921456320315503862, 8841761993739702310231044096007, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 355687428096001, 1307674368120, 8231680416171662641680894373207687, 2287179371154034432525802458733046326287284417625708800], 'label': '33218887680.a.264._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566249
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 1050121736259325174866779876223476599921456320315503862, 8841761993739702310231044096007, 51090942171709440120, 121, 1313901393960, 10888869501509295646378828800, 355687428096001, 1307674368120, 8231680416171662641680894373207687, 2287179371154034432525802458733046326287284417625708800], 'label': '33218887680.a.264._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566250
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [989673020669338175422316563188554404308523264802231742, 20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 2226797560617273760695555507599918106799023861822245160, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 121, 1313901393960, 10888869501509295646378828800, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566251
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 989673020669338175422316563188554404308524572476599742, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 2226797560617273760695555507615429316842354847806245160, 20411656176128185389059585544295691078053207687, 7, 60448715589986999444463313034974001828295181339473841, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566252
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 2287179371154034432525802458717535116243953431641708800, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 20411656176128185389059585544295691078053207687, 7, 1050121736259325174866779876223476599921455012641135862, 60448715589986999444463313034974001828295181339473841, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566253
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 2287179371154034432525802458717535116243953431641708800, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 20411656176128185389059585544295691078053207687, 7, 1050121736259325174866779876223476599921455012641135862, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 121, 1313901393960, 10888869501509295646378828800, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566254
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [5160, 40279687, 544282896776559037308775478115419465880159189817, 10888869450418352160768000006, 8841761993739701954543616000001, 10904380660461683146752000007, 8231680416171662519680106496000007, 51090942171709440001, 20397892414353632594328284631928697896747761846, 25903107681056686080007, 20411656176128185399963992107865056595392681647, 8683326460589391496354777790017536001, 418714646802736078167484069444159230133471792583, 122000787836928007, 1307674368000, 10341839515696277394388258577548355753647, 121, 60448736001643175572648702094559546123986259392681647, 355687428096001, 1313941668480, 363000, 1307674368120, 5167], 'label': '33218887680.a.44._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566255
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 989673020669338175422316563188554404308524572476599742, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 2226797560617273760695555507615429316842354847806245160, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 121, 1313901393960, 10888869501509295646378828800, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566256
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [989673020669338175422316563188554404308523264802231742, 20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 2226797560617273760695555507599918106799023861822245160, 20411656176128185389059585544295691078053207687, 60448715589986999444463313034974001828293873665105841, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566257
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 20411656176128185389059585544295691078053207687, 60448715589986999444463313034974001828293873665105841, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 1050121736259325174866779876223476599921456320315503862, 8841761993739702310231044096007, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 355687428096001, 1307674368120, 8231680416171662641680894373207687, 2287179371154034432525802458733046326287284417625708800], 'label': '33218887680.a.264._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566258
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 1050121736259325174866779876223476599921456320315503862, 8841761993739702310231044096007, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 1307674368121, 355687428096001, 1307674368120, 8231680416171662641680894373207687, 2287179371154034432525802458733046326287284417625708800], 'label': '33218887680.a.264._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566259
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [989673020669338175422316563188554404308523264802231742, 20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 2226797560617273760695555507599918106799023861822245160, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 1307674368121, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566260
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 989673020669338175422316563188554404308524572476599742, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 2226797560617273760695555507615429316842354847806245160, 20411656176128185389059585544295691078053207687, 60448715589986999444463313034974001828293873665105841, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566261
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 2287179371154034432525802458717535116243953431641708800, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 20411656176128185389059585544295691078053207687, 60448715589986999444463313034974001828293873665105841, 7, 1050121736259325174866779876223476599921455012641135862, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566262
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 2287179371154034432525802458717535116243953431641708800, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 20411656176128185389059585544295691078053207687, 7, 1050121736259325174866779876223476599921455012641135862, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 1307674368121, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566263
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 989673020669338175422316563188554404308524572476599742, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 2226797560617273760695555507615429316842354847806245160, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 1307674368121, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566264
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 2226764108104424349979673682599691855672270598206245160, 25903107682370587468800, 122000787877207680, 989673020669338175422316563188554404308524572476962502, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 60448715589986999444463313034974001828293873665105960, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566265
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [33996809509940366145478837531556171131032159189817, 5160, 40279687, 10888869450418352160768000006, 8841761993739701954543616000001, 10904380660461683146752000007, 8231680416171662519680106496000007, 51090942171709440001, 20397892414353632594328284631928697896747761846, 25903107681056686080007, 20411656176128185399963992107865056595392681647, 8683326460589391496354777790017536001, 33452526613163807108170062053440751666459674368000, 418714646802736078167484069444159230133471792583, 122000787836928007, 10341839515696277394388258577548355753647, 121, 60448736001643175572648702094559546123986259392681647, 355687428096001, 1313941668480, 363000, 1307674368120, 5167], 'label': '33218887680.a.44._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566266
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 2287212823694411349424136973825904536577199486041708800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 1050121736259325174866779876223476599921455012641498862, 122000787877207680, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 60448715589986999444463313034974001828293873665105960, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566267
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 2287212823694411349424136973825904536577199486041708800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 1050121736259325174866779876223476599921455012641498862, 122000787877207680, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 1307674368000, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566268
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 2226764108104424349979673682599691855672270598206245160, 25903107682370587468800, 122000787877207680, 989673020669338175422316563188554404308524572476962502, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 1307674368000, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566269
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 989673020669338175422316563188554404308524572476599742, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 2226797560617273760695555507615429316842354847806245160, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 60448715589986999444463313034974001828293873665105960, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566270
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 2287179371154034432525802458717535116243953431641708800, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 20411656176128185389059585544295691078053207687, 7, 1050121736259325174866779876223476599921455012641135862, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 60448715589986999444463313034974001828293873665105960, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566271
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 2287179371154034432525802458717535116243953431641708800, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 20411656176128185389059585544295691078053207687, 7, 1050121736259325174866779876223476599921455012641135862, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 1307674368000, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566272
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 989673020669338175422316563188554404308524572476599742, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 2226797560617273760695555507615429316842354847806245160, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 1307674368000, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566273
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 5160, 40279687, 10904380660461684460653388800, 2226764108104424349979673682599691855672270598206245160, 25903107682370587468800, 122000787877207680, 1313901388800, 989673020669338175422316563188554404308524572476962502, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 10888869501509295646378828800, 355687428096001, 60448715589986999444463313034974001828295181339473960, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566274
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 5160, 40279687, 10904380660461684460653388800, 25903107682370587468800, 122000787877207680, 2226764108104424349979673682584180645628939612222245160, 989673020669338175422316563188554404308523264802594502, 1313901388800, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 10888869501509295646378828800, 355687428096001, 60448715589986999444463313034974001828295181339473960, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566275
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [989673020669338175422316563188554404308523264802231742, 20397892414353632583439389329493605543328748806, 5160, 40279687, 10904380660461684460653388800, 25903107682370587468800, 122000787877207680, 1313901388800, 2226797560617273760695555507599918106799023861822245160, 20411656176128185389059585544295691078053207687, 7, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 10888869501509295646378828800, 355687428096001, 60448715589986999444463313034974001828295181339473960, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566276
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [5160, 40279687, 10888869450418352160768000006, 8841761993739701954543616000001, 10904380660461683146752000007, 8231680416171662519680106496000007, 51090942171709440001, 20397892414353632594328284631928697896747761846, 25903107681056686080007, 20411656176128185399963992107865056595392681647, 33452526613163807108170062053440751665152000000000, 8683326460589391496354777790017536001, 33871241259966543186337546122884910895285471792583, 33996823273693457371823883847535752711934559189817, 122000787836928007, 10341839515696277394388258577548355753647, 121, 60448736001643175572648702094559546123986259392681647, 355687428096001, 1313941668480, 363000, 1307674368120, 5167], 'label': '33218887680.a.44._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566277
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 60449176146379393514453596084678994693582568850420433, 40279687, 10904380660461684460653388800, 1050121421696762556941637419746034481572939594600010952, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 20411656176128185389059585544295691078053207687, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 121, 1313901393960, 10888869501509295646378828800, 60448715589986999444463313034974001828293873665105960, 60448715589986999444463313034974001828295181339473967, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566278
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [5160, 20397892414353632583439389329493605543328748806, 60449176146379393514453596084678994693582568850420433, 40279687, 10904380660461684460653388800, 25903107682370587468800, 122000787877207680, 1313901388800, 20411656176128185389059585544295691078053207687, 10341831284004956816162169531924480000007, 1307674368007, 33452526613163807108170077564650794996137984000000, 989672706106785881961822874044155457093152263901443072, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 121, 10888869501509295646378828800, 355687428096001, 60448715589986999444463313034974001828295181339473960, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566279
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [5160, 20397892414353632583439389329493605543328748806, 60449176146379393514453596084678994693582568850420433, 40279687, 10904380660461684460653388800, 25903107682370587468800, 122000787877207680, 1313901388800, 20411656176128185389059585544295691078053207687, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 989672706106785881961822874044155457093152263901443072, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 1307674368000, 51090942171709440120, 121, 10888869501509295646378828800, 355687428096001, 60448715589986999444463313034974001828295181339473960, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566280
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 60449176146379393514453596084678994693582568850420433, 40279687, 10904380660461684460653388800, 1050121421696762556941637419746034481572939594600010952, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 122000787877207680, 20411656176128185389059585544295691078053207687, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 1307674368000, 51090942171709440120, 121, 1313901393960, 10888869501509295646378828800, 60448715589986999444463313034974001828295181339473967, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566281
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 2287212823694411349424136973825904536577199486041708800, 60448715589986999444463313034974001828293867438085160, 25903107682370587468800, 1050121736259325174866779876223476599921455012641498862, 122000787877207680, 20411656176128185389059585544295691078053207687, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 1307674368000, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 60448715589986999444463313034974001828295181339473967, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566282
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [5160, 20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 25903107682370587468800, 122000787877207680, 1313901388800, 20411656176128185389059585544295691078053207687, 10341831284004956816162169531924480000007, 1307674368007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 10888869501509295646378828800, 989673020669338175422316563188554404308524572436682822, 355687428096001, 60448715589986999444463313034974001828295181339473960, 1307674368120, 8231680416171662641680894373207687, 2226764128488542678085890696193657615993587052606245160], 'label': '33218887680.a.264._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566283
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [5160, 20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 2226764108104424349979673682599691855672270598206245160, 25903107682370587468800, 122000787877207680, 1313901388800, 989673020669338175422316563188554404308524572476962502, 20411656176128185389059585544295691078053207687, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 1307674368000, 51090942171709440120, 10888869501509295646378828800, 355687428096001, 60448715589986999444463313034974001828295181339473960, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566284
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [20397892414353632583439389329493605543328748806, 40279687, 10904380660461684460653388800, 60448715589986999444463313034974001828293867438085160, 2226764108104424349979673682599691855672270598206245160, 25903107682370587468800, 122000787877207680, 989673020669338175422316563188554404308524572476962502, 20411656176128185389059585544295691078053207687, 10341831284004956816162169531924480000007, 33452526613163807108170077564650794996137984000000, 362886, 8683317618811886495518194401280000006, 8841761993739702310231044096007, 51090942171709440120, 1313901393960, 10888869501509295646378828800, 60448715589986999444463313034974001828293873665105960, 60448715589986999444463313034974001828295181339473967, 355687428096001, 1307674368120, 8231680416171662641680894373207687], 'label': '33218887680.a.264._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566285
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [355687428458880, 40279687, 33452540376925581652133935767176986069307028924721, 60448736001643175564417021678387883604306152896681647, 33452540376925581660975697760916688023850644919801, 25903107682370587468800, 60448736001632833733133016721571721434772914515292847, 33452540376925581652144824636627526066568245305726, 33452540376925589874972589945099803794869908919801, 33452540376925581652133935767176986069307028556920, 122000787877212847, 1307674368000, 121, 1113346969673733455179675016283414100950914189781638527, 1237124685941520372373484152428604140496546196281578838, 1313901393960, 8683317618827397705561525387264000000, 51091297859137536000, 20397882081197443369529151241533836795953214646, 10904380660583683934629207687, 20411645834288669714590978380068162193829212847, 1307674368120, 5167], 'label': '33218887680.a.264._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566286
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [355687428458880, 40279687, 33452540376925581652133935767176986069307028924721, 60448736001643175564417021678387883604306152896681647, 33452540376925581660975697760916688023850644919801, 25903107682370587468800, 60448736001632833733133016721571721434772914515292847, 1173762253134999705162439882248244202577678229652198406, 33452540376925581652144824636627526066568245305726, 33452540376925581652133935767176986070614703287801, 33452540376925581652133935767176986069307028556920, 8222838654177922817725562880000000, 122000787877212847, 121, 1237124685941520372373484152428604140496546196281578838, 1313901393960, 8683317618827397705561525387264000000, 51091297859137536000, 20397882081197443369529151241533836795953214646, 10904380660583683934629207687, 20411645834288669714590978380068162193829212847, 1307674368120, 5167], 'label': '33218887680.a.264._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566287
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [5160, 40279687, 10888869450418352160768000006, 8841761993739701954543616000001, 10904380660461683146752000007, 8231680416171662519680106496000007, 51090942171709440001, 20397892414353632594328284631928697896747761846, 123674325849672954121117097785344797755895403960249607, 25903107681056686080007, 20411656176128185399963992107865056595392681647, 8683326460589391496354777790017536001, 122000787836928007, 10341839515696277394388258577548355753647, 121, 60448736001643175572648702094559546123986259392681647, 355687428096001, 1313941668480, 363000, 1307674368120, 732161357714419068159507852168479831162129102657, 5167], 'label': '33218887680.a.44._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566288
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [355687428458880, 40279687, 33452540376925581652133935767176986069307028924721, 60448736001643175564417021678387883604306152896681647, 33452540376925581660975697760916688023850644919801, 1237091213017025136052250231649260152803443250282837832, 25903107682370587468800, 60448736001632833733133016721571721434772914515292847, 1173762253134999705162439882248244202577678229652198406, 33452540376925581652144824636627526066568245305726, 33452540376925589874972589945099803794869908919801, 33452540376925581652133935767176986070614703287801, 33452540376925581652133935767176986069307028556920, 122000787877212847, 121, 1313901393960, 8683317618827397705561525387264000000, 51091297859137536000, 20397882081197443369529151241533836795953214646, 10904380660583683934629207687, 20411645834288669714590978380068162193829212847, 1307674368120, 5167], 'label': '33218887680.a.264._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566289
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [355687428458880, 40279687, 33452540376925581652133935767176986069307028924721, 60448736001643175564417021678387883604306152896681647, 33452540376925581660975697760916688023850644919801, 1237091213017025136052250231649260152803443250282837832, 25903107682370587468800, 60448736001632833733133016721571721434772914515292847, 33452540376925581652144824636627526066568245305726, 33452540376925581652133935767176986069307028556920, 8222838654177922817725562880000000, 122000787877212847, 1307674368000, 121, 1113346969673733455179675016283414100950914189781638527, 1313901393960, 8683317618827397705561525387264000000, 51091297859137536000, 20397882081197443369529151241533836795953214646, 10904380660583683934629207687, 20411645834288669714590978380068162193829212847, 1307674368120, 5167], 'label': '33218887680.a.264._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566290
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [355687428458880, 40279687, 33452540376925581652133935767176986069307028924721, 60448736001643175564417021678387883604306152896681647, 1237091213017025136052250231649260152803443250282837832, 25903107682370587468800, 60448736001632833733133016721571721434772914515292847, 8841761993739701954543616000000, 33452540376925581652144824636627526066568245305726, 33452540376925589874972589945099803794869908919801, 33452540376925581652133935767176986069307028556920, 122000787877212847, 1307674368000, 121, 1113346969673733455179675016283414100950914189781638527, 1313901393960, 8683317618827397705561525387264000000, 51091297859137536000, 20397882081197443369529151241533836795953214646, 10904380660583683934629207687, 20411645834288669714590978380068162193829212847, 1307674368120, 5167], 'label': '33218887680.a.264._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566291
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [355687428458880, 40279687, 33452540376925581652133935767176986069307028924721, 60448736001643175564417021678387883604306152896681647, 1237091213017025136052250231649260152803443250282837832, 25903107682370587468800, 60448736001632833733133016721571721434772914515292847, 1173762253134999705162439882248244202577678229652198406, 8841761993739701954543616000000, 33452540376925581652144824636627526066568245305726, 33452540376925581652133935767176986070614703287801, 33452540376925581652133935767176986069307028556920, 8222838654177922817725562880000000, 122000787877212847, 121, 1313901393960, 8683317618827397705561525387264000000, 51091297859137536000, 20397882081197443369529151241533836795953214646, 10904380660583683934629207687, 20411645834288669714590978380068162193829212847, 1307674368120, 5167], 'label': '33218887680.a.264._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566292
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [355687428458880, 40279687, 33452540376925581652133935767176986069307028924721, 60448736001643175564417021678387883604306152896681647, 25903107682370587468800, 60448736001632833733133016721571721434772914515292847, 1173762253134999705162439882248244202577678229652198406, 8841761993739701954543616000000, 33452540376925581652144824636627526066568245305726, 33452540376925589874972589945099803794869908919801, 33452540376925581652133935767176986070614703287801, 33452540376925581652133935767176986069307028556920, 122000787877212847, 121, 1237124685941520372373484152428604140496546196281578838, 1313901393960, 8683317618827397705561525387264000000, 51091297859137536000, 20397882081197443369529151241533836795953214646, 10904380660583683934629207687, 20411645834288669714590978380068162193829212847, 1307674368120, 5167], 'label': '33218887680.a.264._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566293
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [355687428458880, 40279687, 33452540376925581652133935767176986069307028924721, 60448736001643175564417021678387883604306152896681647, 25903107682370587468800, 60448736001632833733133016721571721434772914515292847, 8841761993739701954543616000000, 33452540376925581652144824636627526066568245305726, 33452540376925581652133935767176986069307028556920, 8222838654177922817725562880000000, 122000787877212847, 1307674368000, 121, 1113346969673733455179675016283414100950914189781638527, 1237124685941520372373484152428604140496546196281578838, 1313901393960, 8683317618827397705561525387264000000, 51091297859137536000, 20397882081197443369529151241533836795953214646, 10904380660583683934629207687, 20411645834288669714590978380068162193829212847, 1307674368120, 5167], 'label': '33218887680.a.264._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566294
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [5160, 355687428458880, 40279687, 60448736001643175564417021678387883604306152896681647, 25903107682370587468800, 60448736001632833733133016721571721434772914515292847, 1173762253134999705162439882248244202577678229652198406, 33452540376925581652133935767176986069307028919801, 10888869450539997261217111687, 1237124685941520372373475310666610400794591652665578838, 362881, 8222838654177922817725562880000000, 122000787877212847, 1307674368000, 121, 1313901393960, 8683317618827397705561525387264000000, 51091297859137536000, 20397882081197443369529151241533836795953214646, 10904380660583683934629207687, 20411645834288669714590978380068162193829212847, 1307674368120, 5167], 'label': '33218887680.a.264._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566295
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [5160, 355687428458880, 40279687, 60448736001643175564417021678387883604306152896681647, 25903107682370587468800, 60448736001632833733133016721571721434772914515292847, 1173762253134999705162439882248244202577678229652198406, 8231680416171662519680106496000000, 33452540376925581652133935767176986069307028919801, 10888869450539997261217111687, 362881, 122000787877212847, 1307674368000, 121, 1237124685941520372373484152428604140496546196281578838, 1313901393960, 8683317618827397705561525387264000000, 51091297859137536000, 20397882081197443369529151241533836795953214646, 10904380660583683934629207687, 20411645834288669714590978380068162193829212847, 1307674368120, 5167], 'label': '33218887680.a.264._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566296
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [5160, 355687428458880, 40279687, 60448736001643175564417021678387883604306152896681647, 25903107682370587468800, 60448736001632833733133016721571721434772914515292847, 1173762253134999705162439882248244202577678229652198406, 8841761993739701954543616000000, 33452540376925581652133935767176986069307028919801, 10888869450539997261217111687, 362881, 122000787877212847, 1307674368000, 121, 1313901393960, 8683317618827397705561525387264000000, 51091297859137536000, 1237124685941520372365261313774426217678820633401578838, 20397882081197443369529151241533836795953214646, 10904380660583683934629207687, 20411645834288669714590978380068162193829212847, 1307674368120, 5167], 'label': '33218887680.a.264._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566297
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [5160, 355687428458880, 40279687, 60448736001643175564417021678387883604306152896681647, 25903107682370587468800, 60448736001632833733133016721571721434772914515292847, 33452540376925581652133935767176986069307028919801, 10888869450539997261217111687, 8841761993739701955851290368000, 1237124685941520372373475310666610400794591652665578838, 362881, 1173762253134999705162448724010237942279632773268198406, 122000787877212847, 8222838654177922817726870554368000, 121, 1313901393960, 8683317618827397705561525387264000000, 51091297859137536000, 20397882081197443369529151241533836795953214646, 10904380660583683934629207687, 20411645834288669714590978380068162193829212847, 1307674368120, 5167], 'label': '33218887680.a.264._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566298
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8683326460589391496354777796244919800, 122002101778601640, 1313941673647, 60448715589986999452694982546739100900611872274596487, 5167, 20411645834296901384102795285233840210219008000, 10341831284004956816162291534026258596480, 2534630701451550450383361361288877495360774787766279537, 25903107681056726364847, 1916016391137368884285259085323682816771949474724501177, 33452526613163807108170062053491842963017364556921, 5160, 10904380660583683934588933167, 51091297859137899000, 10888869501509650019905536001, 20397882081197443358640307643010578419713100921, 8231680416171662641680894332928000, 363000, 1307674368120, 40279687, 355687428459001, 8841761993739702310237271116920, 121], 'label': '33218887680.a.2.a1.a1', '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.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566299
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [5160, 40279687, 10888869450418352160768000006, 8841761993739701954543616000001, 10904380660461683146752000007, 8231680416171662519680106496000007, 51090942171709440001, 20397892414353632594328284631928697896747761846, 25903107681056686080007, 20411656176128185399963992107865056595392681647, 8683326460589391496354777790017536001, 122000787836928007, 10341839515696277394388258577548355753647, 121, 184089588913046789758472229853858795263159915960249607, 60448736001643175572648702094559546123986259392681647, 355687428096001, 1313941668480, 363000, 1307674368120, 732161357714419068159507852168479831162129102657, 5167], 'label': '33218887680.a.44._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566300
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [5160, 355687428458880, 1173762253134999705162439882248244202456033129243366406, 40279687, 60448736001643175564417021678387883604306152896681647, 25903107682370587468800, 60448736001632833733133016721571721434772914515292847, 8841761993739701954543616000000, 33452540376925581652133935767176986069307028919801, 10888869450539997261217111687, 362881, 122000787877212847, 8222838654177922817726870554368000, 121, 1237124685941520372373484152428604140496546196281578838, 1313901393960, 8683317618827397705561525387264000000, 51091297859137536000, 20397882081197443369529151241533836795953214646, 10904380660583683934629207687, 20411645834288669714590978380068162193829212847, 1307674368120, 5167], 'label': '33218887680.a.264._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566301
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [5160, 355687428458880, 40279687, 60448736001643175564417021678387883604306152896681647, 25903107682370587468800, 60448736001632833733133016721571721434772914515292847, 33452540376925581652133935767176986069307028919801, 10888869450539997261217111687, 8841761993739701955851290368000, 362881, 1173762253134999705162448724010237942279632773268198406, 8222838654177922817725562880000000, 122000787877212847, 121, 1237124685941520372373484152428604140496546196281578838, 1313901393960, 8683317618827397705561525387264000000, 51091297859137536000, 20397882081197443369529151241533836795953214646, 10904380660583683934629207687, 20411645834288669714590978380068162193829212847, 1307674368120, 5167], 'label': '33218887680.a.264._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566302
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [5160, 355687428458880, 1173762253134999705162439882248244202456033129243366406, 40279687, 60448736001643175564417021678387883604306152896681647, 25903107682370587468800, 60448736001632833733133016721571721434772914515292847, 8841761993739701954543616000000, 33452540376925581652133935767176986069307028919801, 10888869450539997261217111687, 362881, 8222838654177922817725562880000000, 122000787877212847, 121, 1313901393960, 8683317618827397705561525387264000000, 51091297859137536000, 20397882081197443369529151241533836795953214646, 1237124685941520372373484152413092930453215210297578838, 10904380660583683934629207687, 20411645834288669714590978380068162193829212847, 1307674368120, 5167], 'label': '33218887680.a.264._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '264.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '264._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566303
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [6266937726, 39916806, 13763753091226345046315979581582210074373041, 8222849543047373357724131731205041, 355687428096120, 10888895302435092353419008001, 33452540387250046300901253299086984583577600367921, 8683317618811886546609136573029356920, 51090942171709440006, 121645100409199921, 20397882081197452200417786689648182886439916926, 60415263063373835637363973830507788300161227365356926, 362881, 1307674368001, 10333156189235688002891904155439499375921, 25852016740192651370881, 753661668769736386324566793295580199945434409553, 8841777504949745285529600000126, 1916016704611266907501698879009969739897994422812097918, 1307674373040, 126, 1307674368120, 15511210043330985984000120], 'label': '33218887680.a.288._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566304
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [6266937726, 39916806, 13763753091226345046315979581582210074373041, 8222849543047373357724131731205041, 355687428096120, 10888895302435092353419008001, 33452540387250046300901253299086984583577600367921, 8683317618811886546609136573029356920, 51090942171709440006, 121645100409199921, 20397882081197452200417786689648182886439916926, 60415263063373835637363973830507788300161227365356926, 362881, 1307674368001, 10333156189235688002891904155439499375921, 25852016740192651370881, 753661668769736386324566793295580199945434409553, 8841777504949745285529600000126, 120, 1916016704611266907501698879009969739897994422812097918, 1307674373040, 126, 15511210043330985984000120], 'label': '33218887680.a.288._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566305
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [6266937726, 39916806, 13763753091226345046315979581582210074373041, 8222849543047373357724131731205041, 355687428096120, 10888895302435092353419008001, 33452540387250046300901253299086984583577600367921, 8683317618811886546609136573029356920, 51090942171709440006, 121645100409199921, 20397882081197452200417786689648182886439916926, 60415263063373835637363973830507788300161227365356926, 362881, 1307674368001, 10333156189235688002891904155439499375921, 25852016740192651370881, 753661668769736386324566793295580199945434409553, 1307674368000, 8841777504949745285529600000126, 1916016704611266907501698879009969739897994422812097918, 1307674373040, 126, 15511210043330985984000120], 'label': '33218887680.a.288._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566306
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [355687428096006, 40279680, 8231691320552323103364041084928007, 10888869501509294332477445041, 121645100408832001, 742255205151582401670955732991615194054454178709253062, 10341831292846734321111915173141548375686, 229734055344904893647029935445700759416043806217, 8683317629700755945936547875949756720, 33472924495245004560370479865982416942610804736126, 2597822420085741394772704723016094097631797713294955441, 20411656176128185399963966204635373436968284840, 60448736001632833741364697137743383954453020971013167, 51090942171709445040, 313474163652429696217773289185093781811571945583, 5041, 121, 10904406563691364991275013160, 1307674735921, 8841777504949745641217028096006, 1313941668480, 25903107681056686085160, 1307674368120, 1360765455112517878367430411708549253916403945845315776, 5167, 20397882081197452200417786689648182886400000120], 'label': '33218887680.a.330._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566307
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [355687428096006, 40279680, 8231691320552323103364041084928007, 10888869501509294332477445041, 121645100408832001, 742255205151582401670955732991615194054454178709253062, 10341831292846734321111915173141548375686, 229734055344904893647029935445700759416043806217, 8683317629700755945936547875949756720, 33472924495245004560370479865982416942610804736126, 2597822420085741394772704723016094097631797713294955441, 20411656176128185399963966204635373436968284840, 60448736001632833741364697137743383954453020971013167, 51090942171709445040, 313474163652429696217773289185093781811571945583, 1307674368000, 5041, 121, 10904406563691364991275013160, 1307674735921, 8841777504949745641217028096006, 1313941668480, 25903107681056686085160, 1360765455112517878367430411708549253916403945845315776, 5167, 20397882081197452200417786689648182886400000120], 'label': '33218887680.a.330._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566308
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [355687428096006, 40279680, 8231691320552323103364041084928007, 10888869501509294332477445041, 121645100408832001, 742255205151582401670955732991615194054454178709253062, 10341831292846734321111915173141548375686, 229734055344904893647029935445700759416043806217, 8683317629700755945936547875949756720, 33472924495245004560370479865982416942610804736126, 2597822420085741394772704723016094097631797713294955441, 20411656176128185399963966204635373436968284840, 60448736001632833741364697137743383954453020971013167, 51090942171709445040, 313474163652429696217773289185093781811571945583, 5041, 121, 10904406563691364991275013160, 1307674735921, 120, 8841777504949745641217028096006, 1313941668480, 25903107681056686085160, 1360765455112517878367430411708549253916403945845315776, 5167, 20397882081197452200417786689648182886400000120], 'label': '33218887680.a.330._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566309
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [355687428096006, 40279680, 8231691320552323103364041084928007, 10888869501509294332477445041, 121645100408832001, 10341831292846734321111915173141548375686, 742255205151582401670955732991615194054454178709253062, 229734055344904893647029935445700759416043806217, 8683317629700755945936547875949756720, 33472924495245004560370479865982416942610804736126, 2597822420085741394772704723016094097631797713294955441, 20411656176128185399963966204635373436968284840, 60448736001632833741364697137743383954453020971013167, 51090942171709445040, 313474163652429696217773289185093781811571945583, 1307674368000, 5041, 10904406563691364991275013160, 1307674735921, 8841777504949745641217028096006, 1313941668480, 25903107681056686085160, 1307674368120, 1360765455112517878367430411708549253916403945845315776, 5167, 20397882081197452200417786689648182886400000120], 'label': '33218887680.a.330._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566310
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [5160, 40279687, 10888869450418352160768000006, 8841761993739701954543616000001, 10904380660461683146752000007, 8231680416171662519680106496000007, 51090942171709440001, 20397892414353632594328284631928697896747761846, 25903107681056686080007, 20411656176128185399963992107865056595392681647, 8683326460589391496354777790017536001, 122000787836928007, 184089588913046789758472229869370005306490901944249607, 10341839515696277394388258577548355753647, 121, 60448736001643175572648702094559546123986259392681647, 355687428096001, 1313941668480, 363000, 1307674368120, 732161357714419068159507852168479831162129102657, 5167], 'label': '33218887680.a.44._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566311
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [355687428096006, 40279680, 8231691320552323103364041084928007, 10888869501509294332477445041, 121645100408832001, 742255205151582401670955732991615194054454178709253062, 10341831292846734321111915173141548375686, 229734055344904893647029935445700759416043806217, 8683317629700755945936547875949756720, 33472924495245004560370479865982416942610804736126, 2597822420085741394772704723016094097631797713294955441, 20411656176128185399963966204635373436968284840, 60448736001632833741364697137743383954453020971013167, 51090942171709445040, 313474163652429696217773289185093781811571945583, 5041, 10904406563691364991275013160, 1307674735921, 1307674368121, 8841777504949745641217028096006, 1313941668480, 25903107681056686085160, 1307674368120, 1360765455112517878367430411708549253916403945845315776, 5167, 20397882081197452200417786689648182886400000120], 'label': '33218887680.a.330._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566312
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [355687428096006, 40279680, 8231691320552323103364041084928007, 10888869501509294332477445041, 121645100408832001, 742255205151582401670955732991615194054454178709253062, 10341831292846734321111915173141548375686, 229734055344904893647029935445700759416043806217, 8683317629700755945936547875949756720, 33472924495245004560370479865982416942610804736126, 2597822420085741394772704723016094097631797713294955441, 20411656176128185399963966204635373436968284840, 60448736001632833741364697137743383954453020971013167, 1307674368001, 51090942171709445040, 313474163652429696217773289185093781811571945583, 1307674368000, 5041, 10904406563691364991275013160, 1307674735921, 8841777504949745641217028096006, 1313941668480, 25903107681056686085160, 1360765455112517878367430411708549253916403945845315776, 5167, 20397882081197452200417786689648182886400000120], 'label': '33218887680.a.330._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566313
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [355687428096006, 40279680, 10888869501509294332477445041, 8231691320552323103364041084928007, 121645100408832001, 742255205151582401670955732991615194054454178709253062, 10341831292846734321111915173141548375686, 229734055344904893647029935445700759416043806217, 8683317629700755945936547875949756720, 33472924495245004560370479865982416942610804736126, 2597822420085741394772704723016094097631797713294955441, 20411656176128185399963966204635373436968284840, 60448736001632833741364697137743383954453020971013167, 1307674368001, 51090942171709445040, 313474163652429696217773289185093781811571945583, 5041, 10904406563691364991275013160, 1307674735921, 1307674368121, 8841777504949745641217028096006, 1313941668480, 25903107681056686085160, 1360765455112517878367430411708549253916403945845315776, 5167, 20397882081197452200417786689648182886400000120], 'label': '33218887680.a.330._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566314
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [355687428096006, 40279680, 8231691320552323103364041084928007, 10888869501509294332477445041, 121645100408832001, 10341831292846734321111915173141548375686, 742255205151582401670955732991615194054454178709253062, 8683317629700755945936547875949756720, 33472924495245004560370479865982416942610804736126, 2597822420085741394772704723016094097631797713294955441, 20411656176128185399963966204635373436968284840, 60448736001632833741364697137743383954453020971013167, 51090942171709445040, 313474163652429696217773289185093781811571945583, 1307674368000, 5041, 121, 10904406563691364991275013160, 1307674735921, 8841777504949745641217028096006, 1313941668480, 25903107681056686085160, 1307674368120, 1360765455112517878367430411708549253916403945845315776, 5167, 20397882081197452200417786689648182886400000120], 'label': '33218887680.a.330._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566315
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [355687428096006, 40279680, 8231691320552323103364041084928007, 10888869501509294332477445041, 121645100408832001, 10341831292846734321111915173141548375686, 742255205151582401670955732991615194054454178709253062, 8683317629700755945936547875949756720, 33472924495245004560370479865982416942610804736126, 229734055344904893647029935445700760723718174217, 2597822420085741394772704723016094097631797713294955441, 20411656176128185399963966204635373436968284840, 60448736001632833741364697137743383954453020971013167, 51090942171709445040, 313474163652429696217773289185093781811571945583, 5041, 121, 10904406563691364991275013160, 1307674735921, 8841777504949745641217028096006, 1313941668480, 25903107681056686085160, 1307674368120, 1360765455112517878367430411708549253916403945845315776, 5167, 20397882081197452200417786689648182886400000120], 'label': '33218887680.a.330._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566316
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [355687428096006, 40279680, 8231691320552323103364041084928007, 10888869501509294332477445041, 121645100408832001, 10341831292846734321111915173141548375686, 742255205151582401670955732991615194054454178709253062, 8683317629700755945936547875949756720, 33472924495245004560370479865982416942610804736126, 2597822420085741394772704723016094097631797713294955441, 20411656176128185399963966204635373436968284840, 60448736001632833741364697137743383954453020971013167, 51090942171709445040, 313474163652429696217773289185093781811571945583, 229734055344904893647029935445700760723718174097, 1307674368000, 5041, 121, 10904406563691364991275013160, 1307674735921, 8841777504949745641217028096006, 1313941668480, 25903107681056686085160, 1360765455112517878367430411708549253916403945845315776, 5167, 20397882081197452200417786689648182886400000120], 'label': '33218887680.a.330._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566317
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [355687428096006, 40279680, 8231691320552323103364041084928007, 10888869501509294332477445041, 121645100408832001, 10341831292846734321111915173141548375686, 742255205151582401670955732991615194054454178709253062, 8683317629700755945936547875949756720, 33472924495245004560370479865982416942610804736126, 229734055344904893647029935445700760723718174217, 2597822420085741394772704723016094097631797713294955441, 20411656176128185399963966204635373436968284840, 60448736001632833741364697137743383954453020971013167, 51090942171709445040, 313474163652429696217773289185093781811571945583, 229734055344904893647029935445700760723718174097, 5041, 121, 10904406563691364991275013160, 1307674735921, 8841777504949745641217028096006, 1313941668480, 25903107681056686085160, 1360765455112517878367430411708549253916403945845315776, 5167, 20397882081197452200417786689648182886400000120], 'label': '33218887680.a.330._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566318
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [355687428096006, 40279680, 8231691320552323103364041084928007, 10888869501509294332477445041, 121645100408832001, 10341831292846734321111915173141548375686, 742255205151582401670955732991615194054454178709253062, 8683317629700755945936547875949756720, 33472924495245004560370479865982416942610804736126, 2597822420085741394772704723016094097631797713294955441, 229734055344904893647029935445700759416043806096, 20411656176128185399963966204635373436968284840, 60448736001632833741364697137743383954453020971013167, 51090942171709445040, 313474163652429696217773289185093781811571945583, 1307674368000, 5041, 10904406563691364991275013160, 1307674735921, 8841777504949745641217028096006, 1313941668480, 25903107681056686085160, 1307674368120, 1360765455112517878367430411708549253916403945845315776, 5167, 20397882081197452200417786689648182886400000120], 'label': '33218887680.a.330._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566319
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [355687428096006, 40279680, 8231691320552323103364041084928007, 10888869501509294332477445041, 121645100408832001, 10341831292846734321111915173141548375686, 742255205151582401670955732991615194054454178709253062, 8683317629700755945936547875949756720, 33472924495245004560370479865982416942610804736126, 229734055344904893647029935445700760723718174217, 2597822420085741394772704723016094097631797713294955441, 229734055344904893647029935445700759416043806096, 20411656176128185399963966204635373436968284840, 60448736001632833741364697137743383954453020971013167, 51090942171709445040, 313474163652429696217773289185093781811571945583, 5041, 10904406563691364991275013160, 1307674735921, 8841777504949745641217028096006, 1313941668480, 25903107681056686085160, 1307674368120, 1360765455112517878367430411708549253916403945845315776, 5167, 20397882081197452200417786689648182886400000120], 'label': '33218887680.a.330._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566320
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [355687428096006, 40279680, 8231691320552323103364041084928007, 10888869501509294332477445041, 121645100408832001, 10341831292846734321111915173141548375686, 742255205151582401670955732991615194054454178709253062, 8683317629700755945936547875949756720, 33472924495245004560370479865982416942610804736126, 2597822420085741394772704723016094097631797713294955441, 229734055344904893647029935445700759416043806096, 20411656176128185399963966204635373436968284840, 60448736001632833741364697137743383954453020971013167, 51090942171709445040, 313474163652429696217773289185093781811571945583, 229734055344904893647029935445700760723718174097, 1307674368000, 5041, 10904406563691364991275013160, 1307674735921, 8841777504949745641217028096006, 1313941668480, 25903107681056686085160, 1360765455112517878367430411708549253916403945845315776, 5167, 20397882081197452200417786689648182886400000120], 'label': '33218887680.a.330._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566321
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '44T1742', 'count': 22, 'diagramx': None, 'generators': [5160, 40279687, 123640893734695300129815856295766471017644982291081640, 10888869450418352160768000006, 8841761993739701954543616000001, 10904380660461683146752000007, 8231680416171662519680106496000007, 51090942171709440001, 20397892414353632594328284631928697896747761846, 25903107681056686080007, 20411656176128185399963992107865056595392681647, 8683326460589391496354777790017536001, 122000787836928007, 10341839515696277394388258577548355753647, 121, 60448736001643175572648702094559546123984951718313647, 355687428096001, 1313941668480, 363000, 1307674368120, 732161357714419068159507852168479831162129102657, 5167], 'label': '33218887680.a.44._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566322
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [355687428096006, 40279680, 8231691320552323103364041084928007, 10888869501509294332477445041, 121645100408832001, 10341831292846734321111915173141548375686, 742255205151582401670955732991615194054454178709253062, 8683317629700755945936547875949756720, 33472924495245004560370479865982416942610804736126, 229734055344904893647029935445700760723718174217, 2597822420085741394772704723016094097631797713294955441, 229734055344904893647029935445700759416043806096, 20411656176128185399963966204635373436968284840, 60448736001632833741364697137743383954453020971013167, 51090942171709445040, 313474163652429696217773289185093781811571945583, 229734055344904893647029935445700760723718174097, 5041, 10904406563691364991275013160, 1307674735921, 8841777504949745641217028096006, 1313941668480, 25903107681056686085160, 1360765455112517878367430411708549253916403945845315776, 5167, 20397882081197452200417786689648182886400000120], 'label': '33218887680.a.330._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566323
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [60448715589986999444463302130593341366610720686080000, 10888869450418352160808279800, 5160, 40279687, 20411645834288669703686597719606479047036928000, 60415346817309702204791012219695896166729903868935537, 20397882089880760977452168235543092545916928000, 13912666547595685151977112832633719187458518, 8841777504949745285535827383801, 33452526613163807108170062053491842607323709440000, 60415639879785561587504885513422298798316148582723321, 1307674368001, 25903229681844523008000, 10341831284004956816162291532712316928000, 1307674368000, 8683317618811886546731137360826368000, 122000787836928000, 8231691320552322981364567189673647, 1313901393960, 51091297859137536000, 60415263063565298470557993949390753063004871662366039, 10904380660461683146792279680, 355687428096001, 363000, 1307674368120, 5167], 'label': '33218887680.a.330._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566324
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': '396.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': 396, 'diagramx': None, 'generators': [20411656176119953708643439784761691240406364847, 5160, 10888869450418352160768000000, 60448715589986999444463302130567438380930451836928000, 1313901388800, 33452526613163807117011839558390497306375255116807, 25903107681056686080007, 10341831284004956842065277212981166080000, 10904380660583683934588928000, 51090942171709802880, 8231680416171662641680894332928000, 122002101738316800, 40284840, 1307674368000, 121, 1173729073329150730222018769266857331680154813354065359, 363007, 20397892414345409744785237258570973765016561846, 1544924626572396048844679295680530929885203532219189702, 1307674368120, 5167, 8852650863190120306704384000000, 1113347388360618739608227311538244156942851549645385600, 355687428096000, 8683317618811886495518194401280000120], 'label': '33218887680.a.396.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '396.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '396.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566325
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566326
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 1307674373160, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 1360764827089703675385514757251449857231445778586140678, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566327
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 1360764827089703675385514757251449857231445778586140678, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566328
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 1307674373160, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566329
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 1307674368000, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566330
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 8683326471462775537777240784744505601, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566331
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566332
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '44T1731', 'count': 22, 'diagramx': None, 'generators': [5160, 40279687, 10888869450418352160768000006, 8841761993739701954543616000001, 10904380660461683146752000007, 8231680416171662519680106496000007, 51090942171709440001, 20397892414353632594328284631928697896747761846, 25903107681056686080007, 20411656176128185399963992107865056595392681647, 33452526613163807108170062053440751665152000000000, 8683326460589391496354777790017536001, 33871241259966543186337546122884910895285471792583, 60415827757906104662009809116612893190844272738767862, 122000787836928007, 10341839515696277394388258577548355753647, 121, 60448736001643175572648702094559546123984951718313647, 355687428096001, 1313941668480, 363000, 1307674368120, 5167], 'label': '33218887680.a.44._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566333
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 8683326471462775537777240784744505601, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566334
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566335
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 1360765559250582996569656723093098308662721377922465278, 40279687, 8222838654177922939370663328748920, 1307674373160, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1360765559250582996569656723093098308662720064020708439, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167, 1360764827089703675385514757251449857231444470911772798], 'label': '33218887680.a.440._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566336
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [1360764827089703675385514757251449857231444470911772798, 51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 371058960472755911754919966428860914681400098561917376, 1307674368000, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566337
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 1360764827089703675385514757251449857231444470911767638, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 1307674373160, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566338
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 371058960472755911754919966428860914681400098561917376, 1307674368000, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 1360764827089703675385514757251449857231444470911767638, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566339
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 247452063561387786739224187786944724625950601072020542, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 247452063561387786739224187786944724625950601072020422, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566340
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1050121714758780742495045324576365689635867464402662272, 25852138383985385472121, 247452063561387786739224187786944724625950601072020422, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566341
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 247452063561387786739224187786944724625950601072020542, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566342
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1050121714758780742495045324576365689635867464402662272, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566343
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '44T1742', 'count': 22, 'diagramx': None, 'generators': [5160, 40279687, 10888869450418352160768000006, 8841761993739701954543616000001, 10904380660461683146752000007, 8231680416171662519680106496000007, 51090942171709440001, 20397892414353632594328284631928697896747761846, 25903107681056686080007, 20411656176128185399963992107865056595392681647, 8683326460589391496354777790017536001, 122000787836928007, 1307674368000, 184089588913046789758472229869370005306490901944249607, 10341839515696277394388258577548355753647, 121, 355687428096001, 1313941668480, 363000, 1307674368120, 732161357714419068159507852168479831162129102657, 5167], 'label': '33218887680.a.44._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566344
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566345
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566346
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566347
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566348
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566349
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 2597822063695079650868438964997500664698657810460103622, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566350
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566351
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [2597822063695079650868438964997500664698656502785735742, 51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566352
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566353
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566354
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '44T1731', 'count': 22, 'diagramx': None, 'generators': [33996809509940366145478837531556171131032159189817, 5160, 40279687, 10888869450418352160768000006, 8841761993739701954543616000001, 10904380660461683146752000007, 8231680416171662519680106496000007, 51090942171709440001, 20397892414353632594328284631928697896747761846, 25903107681056686080007, 20411656176128185399963992107865056595392681647, 33452526613163807108170062053440751665152000000000, 8683326460589391496354777790017536001, 33871241259966543186337546122884910895285471792583, 122000787836928007, 1307674368000, 10341839515696277394388258577548355753647, 121, 355687428096001, 1313941668480, 363000, 1307674368120, 5167], 'label': '33218887680.a.44._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566355
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566356
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 2597822063695079650868438964997500664698657810460103742, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566357
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 2597822063695079650868438964997500664698656502785735622, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566358
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360764827089703675385514757251449857231445778586135638, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566359
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566360
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 1050121714758780742495045324576365689635866156728294392, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566361
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1050121714758780742495045324576365689635867464402662272, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566362
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566363
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 1050121714758780742495045324576365689635866156728294392, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566364
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1360765559250583005252983172778134945603257834903587198, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566365
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': '48.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [60448736001643175572648702094559546123984951718313527, 60448736001643175572648702094559546123984945491292847, 10888869450418352160768000001, 555252233982627191145732837398665516377820528294404616, 121645100408832001, 8841761993739701954543616000001, 51090942171709440001, 60448736001643175572648702094559546123629264290217647, 33472938269339935293570026045548616720439718313647, 33452526613163807108170062053440751665152000000001, 8683317618811886495518194401280000001, 1297540074629549195208392153581582817399673564582357816, 1307674368001, 60448736001643175572648702079048336080653965734313647, 5041, 60448736001643175572648702094533694107246066741673647, 60448736001643175564425863440381623306259388838313647, 60448736001643175572648702094559546123984951718313641, 60448736001643175572648702094559546123984951717950767, 20397882081197443358640281739902897356800000001, 60448735987879422481422357048243566542404049318313647, 39916801], 'label': '33218887680.a.48.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566366
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 1360765559250583005252983172778134945603257834903587078, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566367
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566368
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 8683326471462775537777242092418873721, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566369
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566370
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 1360765559250583005252983172778134945603257834903587078, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 8683326471462775537777242092418873601, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566371
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 8683326471462775537777242092418873601, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566372
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 8683326471462775537777242092418873601, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 8683326471462775537777242092418873721, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566373
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 8683326471462775537777242092418873601, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566374
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 1360765559250583005252983172778134945603257834903587078, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566375
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566376
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': '55.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': 55, 'diagramx': None, 'generators': [1979379221144323583169029433367873064339637469164748800, 5160, 40279687, 1421180278031368242904369160482550217939090260570186160, 51091297859137899000, 2350404331889808584486628874578249117254650256652280456, 60448715589986999452694982546739100900611872274596487, 355687428459001, 1313941673647, 25903107681056726364847, 122002101778601640, 8231680416171662641680894332928000, 10888895302435446733172736001, 33452526613163807108170062053491842963017364556921, 20397882081197443358640307643010578419713100921, 802703899227314062442465844281915068453637003390110200, 8841761993739702310237271116920, 1307674368000, 121, 8683326460589391496354777796244919800, 618510772827337002858332722019965074075267440761768319, 20411645834296901384102795285233840210219008000, 10904380660583683934588933167, 371059379173756267291129363723753372241170541859760560, 363000, 1307674368120, 10341831284004956816162291534026258596480, 5167], 'label': '33218887680.a.55.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566377
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 8683326471462775537777242092418873721, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566378
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566379
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 1360765559250583005252983172778134945603257834903587078, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1360765559250583005252983172778134945603257834903587198, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566380
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1360765559250583005252983172778134945603257834903587198, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566381
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1360765559250583005252983172778134945603257834903587198, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 8683326471462775537777242092418873721, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566382
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1360765559250583005252983172778134945603257834903587198, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566383
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 1360765559250583005252983172778134945603257834903587078, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 1050121714758780742495045324576365689635866156728294272, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566384
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 1050121714758780742495045324576365689635866156728294272, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566385
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 1050121714758780742495045324576365689635866156728294272, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 8683326471462775537777242092418873721, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566386
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566387
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': '66.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': 66, 'diagramx': None, 'generators': [5160, 40279687, 480940691843076150226860849210124609222677054846, 10888869501509651333806924801, 51091297859137899000, 60448715589986999452694982546739100900611872274596487, 355687428459001, 1313941673647, 1360765224290106072526105380967336525859211308767430393, 25903107681056726364847, 122002101778601640, 8231680416171662641680894332928000, 33452526613163807108170062053491842963017364556921, 20397882081197443358640307643010578419713100921, 8841761993739702310237271116920, 1307674368000, 121, 8683326460589391496354777796244919800, 20411645834296901384102795285233840210219008000, 10904380660583683934588933167, 363000, 1307674368120, 10341831284004956816162291534026258596480, 5167], 'label': '33218887680.a.66.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566388
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 1360765559250583005252983172778134945603257834903587078, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 8683326471462775537777242092418873601, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 1050121714758780742495045324576365689635866156728294272, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566389
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 8683326471462775537777242092418873601, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 1050121714758780742495045324576365689635866156728294272, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566390
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 8683326471462775537777242092418873601, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 1050121714758780742495045324576365689635866156728294272, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 8683326471462775537777242092418873721, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566391
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 8683326471462775537777242092418873601, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566392
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 1360765559250583005252983172778134945603257834903587078, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566393
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566394
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 8683326471462775537777242092418873721, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566395
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566396
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 1360764827089703675385514757251449857231445778586140678, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566397
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 1313901756841, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566398
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [1484542710851610086651129170981286745112362537364300927, 355687428458880, 5160, 122000787836933160, 8841761993790792896715325440000, 8683317618827397705561881080919479800, 25903107682370587468800, 33452540376925581660975697760916688023850644919800, 10904380660583683934588928000, 51090942171709802880, 1792342567728623436794270737111215927013715964581299200, 7, 20397882081197443358640281790993839528509445160, 40284840, 20411645834288669703686597719484478259200005160, 10888869501630939439113655800, 8231680416171662519680106496005160, 60448736001643175572648702094559546123986259392681640, 10341831284015861196822753215859068933160, 363000, 1313941668480, 1307674368120], 'label': '33218887680.a.88._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566399
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 1360764827089703675385514757251449857231445778586140678, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566400
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566401
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 362886, 1307674373040, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586135758, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566402
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586135758, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 1307674368120, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566403
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566404
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566405
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 2597822063695079650868438964997500664698657810460103622, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1668598972806219547173705629501393115505745692734441599, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566406
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 2597822063695079650868438964997500664698657810460103622, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566407
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 1360765559250582996569656723093098308662721377922465278, 40279687, 8222838654177922939370663328748920, 2597822063695079650868438964997500664698657810460103622, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1360765559250582996569656723093098308662720064020708439, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167, 1360764827089703675385514757251449857231444470911772798], 'label': '33218887680.a.440._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566408
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 2597822063695079650868438964997500664698657810460103622, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 1360764827089703675385514757251449857231444470911767638, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566409
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': '11.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': 11, 'diagramx': None, 'generators': [5160, 40279687, 51091297859137899000, 60448715589986999452694982546739100900611872274596487, 355687428459001, 1313941673647, 25903107681056726364847, 122002101778601640, 8231680416171662641680894332928000, 33452526613163807108170062053491842963017364556921, 20397882081197443358640307643010578419713100921, 10888869501509651333847204481, 8841761993739702310237271116920, 1307674368000, 123674346247714899541980804017464115851152761698099343, 121, 8683326460589391496354777796244919800, 20411645834296901384102795285233840210219008000, 10904380660583683934588933167, 1237124288727428951698415560289297930115907567397047816, 363000, 1307674368120, 10341831284004956816162291534026258596480, 5167], 'label': '33218887680.a.11.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566410
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [5160, 355687428458880, 122000787836933160, 8841761993790792896715325440000, 8683317618827397705561881080919479800, 25903107682370587468800, 33452540376925581660975697760916688023850644919800, 10904380660583683934588928000, 51090942171709802880, 1792342567728623436794270737111215927013715964581299200, 20397882081197443358640281790993839528509445160, 40284840, 20411645834288669703686597719484478259200005160, 1307674368000, 1484542710851610086651129170981286745112362537364300920, 10888869501630939439113655800, 8231680416171662519680106496005160, 60448736001643175572648702094559546123986259392681640, 10341831284015861196822753215859068933160, 363000, 1313941668480, 1307674368120], 'label': '33218887680.a.88._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566411
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566412
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566413
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566414
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566415
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566416
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566417
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 1050121714758780742495045324576365689635866156728294272, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566418
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566419
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 1360764827089703675385514757251449857231445778586140678, 362886, 1050121714758780742495045324576365689635866156728294392, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566420
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 1360764827089703675385514757251449857231445778586140678, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566421
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [1307674368007, 122000787836933160, 8683317618827397705561881080919479800, 10904380660583683934588928000, 33452540376925581660975697760916688023850644919800, 1792342567728623436794270737111215927013715964581299200, 5160, 20397882081197443358640281790993839528509445160, 10341831284015861196822753215859068933160, 8231680416171662519680106496005160, 51090942171709802880, 40284840, 363000, 10888869501630939439113655800, 8841761993790792896715325440000, 1484542710851610086651129170981286745112362537364300920, 1307674368120, 25903107682370587468800, 355687428458880, 1313941668480, 20411645834288669703686597719484478259200005160, 60448736001643175572648702094559546123986259392681640], 'label': '33218887680.a.88._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566422
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566423
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [5040, 51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586135758, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566424
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 371058960472755911754919966428860914681400098561917376, 120, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586135758, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566425
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 1360765559250582996569656723093098308662720064020713479, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566426
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566427
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662720070248097158, 1313901756841, 5167, 371058960472755911754919966428860914681400098561917376, 1360764827089713999850163513695623577946236739738498638, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720070248097278, 8841762019642931636388139376047, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566428
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 1360764827089713999850163513695623577946236739738498638, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360765559250582996569656723093098308662720070248097158, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566429
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662720070248097158, 1313901756841, 5167, 6227383681, 371058960472755911754919966428860914681400098561917376, 1360764827089713999850163513695623577946236739738498638, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 8841762019642931636388139376047, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566430
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 1360764827089713999850163513695623577946236739738498638, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360765559250582996569656723093098308662720070248097158, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566431
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586135758, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 1307674373160, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566432
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [122000787836933160, 8683317618827397705561881080919479800, 10904380660583683934588928000, 33452540376925581660975697760916688023850644919800, 1792342567728623436794270737111215927013715964581299200, 5160, 20397882081197443358640281790993839528509445160, 10341831284015861196822753215859068933160, 8231680416171662519680106496005160, 51090942171709802880, 40284840, 363000, 10888869501630939439113655800, 8841761993790792896715325440000, 1484542710851610086651129170981286745112362537364300920, 1307674368120, 25903107682370587468800, 355687428458880, 1307674368001, 1313941668480, 20411645834288669703686597719484478259200005160, 60448736001643175572648702094559546123986259392681640], 'label': '33218887680.a.88._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566433
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 371058960472755911754919966428860914681400098561917376, 1307674368000, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586135758, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566434
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566435
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566436
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 1360765559250582996569656723093098308662721377922465278, 40279687, 8222838654177922939370663328748920, 2597822063695079650868438964997500664698657810460103622, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1360765559250582996569656723093098308662720064020708439, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586140798, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566437
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 1360764827089703675385514757251449857231445778586135638, 2597822063695079650868438964997500664698657810460103622, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566438
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 2597822063695079650868438964997500664698657810460103622, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1668598972806219547173705629501393115505745692734441479, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566439
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 2597822063695079650868438964997500664698657810460103622, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566440
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 2597822063695079650868438964997500664698657810460103622, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 1360765559250582996569656723093098308662720064020713479, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566441
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 2597822063695079650868438964997500664698657810460103622, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566442
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 1360765559250582996569656723093098308662721377922465278, 40279687, 8222838654177922939370663328748920, 1307674373160, 2597822063695079650868438964997500664698657810460103622, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1360765559250582996569656723093098308662720064020708439, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566443
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [122000787836933160, 8683317618827397705561881080919479800, 10904380660583683934588928000, 33452540376925581660975697760916688023850644919800, 1792342567728623436794270737111215927013715964581299200, 5160, 1, 20397882081197443358640281790993839528509445160, 10341831284015861196822753215859068933160, 8231680416171662519680106496005160, 51090942171709802880, 40284840, 363000, 10888869501630939439113655800, 8841761993790792896715325440000, 1307674368120, 25903107682370587468800, 355687428458880, 1484542710851610086651129170981286745112362537364300921, 1313941668480, 20411645834288669703686597719484478259200005160, 60448736001643175572648702094559546123986259392681640], 'label': '33218887680.a.88._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566444
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 2597822063695079650868438964997500664698657810460103622, 371058960472755911754919966428860914681400098561917376, 1307674368000, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566445
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566446
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566447
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 1360765559250582996569656723093098308662720070248097278, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 1360764827089713999850163513695623577946236739738498638, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566448
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 1360764827089713999850163513695623577946236739738498638, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566449
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 6227383681, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 1360764827089713999850163513695623577946236739738498638, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566450
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 1360764827089713999850163513695623577946236739738498638, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566451
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 1360765559250582996569656723093098308662720064020713479, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566452
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566453
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 1360765559250582996569656723093098308662720064020713479, 60448715603750752543921338481924530778542833664363000, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 1050121714758780742495045324576365689635866156728294272, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566454
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [555251751925774828573399884655935643238054143677758760, 5160, 355687428458880, 122000787836933160, 8841761993790792896715325440000, 8683317618827397705561881080919479800, 25903107682370587468800, 33452540376925581660975697760916688023850644919800, 10904380660583683934588928000, 51090942171709802880, 20397882081197443358640281790993839528509445160, 40284840, 20411645834288669703686597719484478259200005160, 10888869501630939439113655800, 8231680416171662519680106496005160, 60448736001643175572648702094559546123986259392681640, 10341831284015861196822753215859068933160, 363000, 1313941668480, 1307674368120, 60415723619755896542357326275289704549842461793623823], 'label': '33218887680.a.88._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566455
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1050121714758780742495045324576365689635866156728294272, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566456
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566457
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566458
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566459
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566460
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 1050121714758780742495045324576365689635866156728294272, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566461
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566462
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [2597822063695079650868438964997500664698656502785735742, 51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167, 2658237326758453495189111704989031656215178078650484976], 'label': '33218887680.a.440._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566463
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [2597822063695079650868438964997500664698656502785735742, 51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 2597822063695079650868438964997500664698656502785735622, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566464
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [2597822063695079650868438964997500664698656502785735742, 51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1360764827089703675385514757251449857231444470911772678, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566465
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [555251751925774828573399884655935643238054143677758760, 5160, 355687428458880, 122000787836933160, 8841761993790792896715325440000, 8683317618827397705561881080919479800, 60415723619755896542366168037283444251797005409623823, 25903107682370587468800, 33452540376925581660975697760916688023850644919800, 10904380660583683934588928000, 51090942171709802880, 20397882081197443358640281790993839528509445160, 40284840, 20411645834288669703686597719484478259200005160, 10888869501630939439113655800, 8231680416171662519680106496005160, 60448736001643175572648702094559546123986259392681640, 10341831284015861196822753215859068933160, 363000, 1313941668480, 1307674368120], 'label': '33218887680.a.88._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566466
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [2597822063695079650868438964997500664698656502785735742, 51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566467
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [2597822063695079650868438964997500664698656502785735742, 51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360731374563090502903320637904812133063268544600759639, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566468
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [2597822063695079650868438964997500664698656502785735742, 51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566469
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [2597822063695079650868438964997500664698656502785735742, 51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 1307674373160, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566470
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [2597822063695079650868438964997500664698656502785735742, 51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566471
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167, 2658237326758453495189111704989031656215178078650484976], 'label': '33218887680.a.440._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566472
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 2597822063695079650868438964997500664698656502785735622, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566473
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 1360765559250582996569656723093098308662721377922465278, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 2597822063695079650868438964997500664698656502785735622, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1360765559250582996569656723093098308662720064020708439, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167, 1360764827089703675385514757251449857231444470911772798], 'label': '33218887680.a.440._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566474
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 1360764827089703675385514757251449857231444470911767638, 60415283461266258674314186986190125669095104583481607, 2597822063695079650868438964997500664698656502785735622, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566475
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1360764827089703675385514757251449857231444470911772678, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566476
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [116688612171253178121931574897218052181696, 60448715589997341275747317991764261012146837010596480, 1307714289967, 5160, 10904380660583683934588928000, 121, 431474496200776407643522010537178682555547754370135680, 564680842699663671398465756217998653069362662400, 20397892414353641425216920131255629964132772480, 33472924495253696091997057269049409190321156096000, 122000787877207680, 25903107682370587468800, 8231691320552322981364567189668480, 1915983293982899771298526435220572645926706421755971256, 10341831284004956816162291532712316928000, 5167, 865895199160844446404849975141208554158772822929644800, 8691540468354933868754627818623033600, 8841777504949745286837274730880, 51090942177936460800, 10888869501509650026132556800, 1307674368120, 1313941668480, 586181291708868055602387324869779608205001848336, 1307674730880, 357001329847680, 20411645834296901395007150042587843614226596480], 'label': '33218887680.a.110._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566702
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33472924495245004551528702335231745860367937536000, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 356995102469040, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 431507466684034760073971008581711708502904238136017337, 1544957806420939149311047223506045293661673165160710422, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 1307674368120, 5167], 'label': '33218887680.a.528._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566477
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566478
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360731374563090502903320637904812133063268544600759639, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566479
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566480
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1668598972806219547173705629501393115505745692734441479, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566481
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566482
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 1360765559250582996569656723093098308662721377922465278, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1360765559250582996569656723093098308662720064020708439, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167, 1360764827089703675385514757251449857231444470911772798], 'label': '33218887680.a.440._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566483
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 1360764827089703675385514757251449857231444470911767638, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 1360764827089703675385514757251449857231444470911767758, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566484
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1668598972806219547173705629501393115505745692734441479, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566485
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566486
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [247452063561387786739224187786944724625950601072020542, 51091297859137541046, 5167, 371058960472755911754919966428860914681400098561917376, 1360765559250583005252983172778134945603256527229219078, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 5160, 8841762019642931636388139376047, 1360764827089703675385514757251449857231444470911767638, 1313901751681, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566673
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [40279687, 33472924495245004551528702335231745860367937536000, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 356995102469040, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 33933480887639066318994906649423642230825852902398, 122000787836928000, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 371092183236691500814562609866814070321980681367472680, 1307674368120, 5167], 'label': '33218887680.a.528._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566487
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [5160, 431474496200776407643522010537178682555547754370135680, 33472924495253696091997057269049409190321156096000, 51090942177936460800, 10888869501509650026132556800, 564680842699663671398465756217998653069362662400, 60448715589997341275747317991764261012146837010596480, 25903107682370587468800, 122000787877207680, 865895199160844446404849975141208554158772822929644800, 8231691320552322981364567189668480, 10904380660583683934588928000, 1307714289967, 8841777504949745286837274730880, 20397892414353641425216920131255629964132772480, 10341831284004956816162291532712316928000, 1307674368000, 1307674730880, 121, 357001329847680, 586181291708868055602387324869779608205001848336, 1915983293982899771298526435220572645926706421755971256, 1313941668480, 8691540468354933868754627818623033600, 116688612171253178121931574897218052181696, 5167, 20411645834296901395007150042587843614226596480], 'label': '33218887680.a.110._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566488
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [1050121714758780742495045324576365689635867464402662272, 51091297859137541046, 5167, 371058960472755911754919966428860914681400098561917376, 1360765559250583005252983172778134945603256527229219078, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 5160, 8841762019642931636388139376047, 1360764827089703675385514757251449857231444470911767638, 1313901751681, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566489
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 1307674373160, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566490
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566491
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 1360765559250582996569656723093098308662720070248097278, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 1360764827089713999850163513695623577946236739738498638, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 6227383801, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566492
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 1360764827089713999850163513695623577946236739738498638, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 6227383801, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566493
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 6227383681, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 1360764827089713999850163513695623577946236739738498638, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 6227383801, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566494
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 1360764827089713999850163513695623577946236739738498638, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 6227383801, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566495
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566496
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566497
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 1360765559250582996569656723093098308662721377922465278, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 1360765559250582996569656723093098308662720064020708439, 2597822063695079650868438964997500664698656502785740782, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566498
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [116688612171253178121931574897218052181696, 60448715589997341275747317991764261012146837010596480, 1307714289967, 5160, 10904380660583683934588928000, 121, 431474496200776407643522010537178682555547754370135680, 564680842699663671398465756217998653069362662400, 20397892414353641425216920131255629964132772480, 33472924495253696091997057269049409190321156096000, 122000787877207680, 25903107682370587468800, 8231691320552322981364567189668480, 1915983293982899771298526435220572645926706421755971256, 10341831284004956816162291532712316928000, 5167, 865895199160844446404849975141208554158772822929644800, 8691540468354933868754627818623033600, 8841777504949745286837274730880, 51090942177936460800, 10888869501509650026132556800, 1313941668480, 586181291708868055602387324869779608205001848336, 1307674730880, 120, 357001329847680, 20411645834296901395007150042587843614226596480], 'label': '33218887680.a.110._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566499
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 1360765559250582996569656723093098308662721377922465278, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 2597822063695079650868438964997500664698656502785735622, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 1360765559250582996569656723093098308662720064020708439, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566500
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1360764827089703675385514757251449857231444470911772678, 1313901756841, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566501
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566502
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 247452063561387786739224187786944724625950601072020422, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566503
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566504
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 989706451709170651265598907868922884726380486743028432, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566505
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1050121714758780742495045324576365689635867464402662272, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566506
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1313901756841, 5167, 371058960472755911754919966428860914681400098561917376, 1360764827089713999850163513695623577946236739738498638, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720070248097278, 8841762019642931636388139376047, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 1307674368120, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566507
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 1360764827089713999850163513695623577946236739738498638, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566674
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [40279687, 33472924495245004551528702335231745860367937536000, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 371092183236691500814562609866814070322336368795568680, 20397882081197443358640281739903253044228096000, 60415263077137588728581477114829977088845414400000000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 33913083005557868875625377498233320981308284902278, 8683317618811886495639839501688832000, 122000787836928000, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 1307674368120, 5167, 355687428096000], 'label': '33218887680.a.528._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566508
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1313901756841, 5167, 6227383681, 371058960472755911754919966428860914681400098561917376, 1360764827089713999850163513695623577946236739738498638, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 8841762019642931636388139376047, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 1307674368120, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566509
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [5160, 431474496200776407643522010537178682555547754370135680, 33472924495253696091997057269049409190321156096000, 51090942177936460800, 10888869501509650026132556800, 564680842699663671398465756217998653069362662400, 60448715589997341275747317991764261012146837010596480, 25903107682370587468800, 122000787877207680, 865895199160844446404849975141208554158772822929644800, 8231691320552322981364567189668480, 10904380660583683934588928000, 1307714289967, 8841777504949745286837274730880, 20397892414353641425216920131255629964132772480, 10341831284004956816162291532712316928000, 1307674368000, 1307674730880, 121, 357001329847680, 586181291708868055602387324869779608205001848336, 1915983293982899771298526435220572645926706421755971256, 1313941668480, 8691540468354933868754627818623033600, 1307674368120, 5167, 20411645834296901395007150042587843614226596480], 'label': '33218887680.a.110._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566510
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 1360764827089713999850163513695623577946236739738498638, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566511
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 247452063561387786739224187786944724625950601072020542, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566512
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1050121714758780742495045324576365689635867464402662272, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566513
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 1307674373160, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566514
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566515
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 8683326471462775537777242092418873721, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566516
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566517
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 247452063561387786739224187786944724625950601072020422, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566518
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566519
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 1360765559250582996569656723093098308662721377922465278, 40279687, 8222838654177922939370663328748920, 1307674373160, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 1360765559250582996569656723093098308662720064020708439, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566520
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': '12.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903107681056726359680, 5160, 40279680, 51091297859137899000, 355687428459001, 989706473209715092320642247439310745401499229972682816, 10888895302556737460095140481, 1313941673640, 122002101778601640, 8231680416171662641680894332928000, 33452526613163807108170062053491842963017364556921, 20397882081197443369544662400486581297615948921, 8841761993739702310237271116920, 1307674368000, 121, 8683326460589391496354777796244919800, 60448736001643175572648702094559546123986259392681640, 60448736001643175572648702094559546123986259392681647, 555285267808686740515430960394404528471542616621968583, 363000, 10904380660583683934588933160, 1307674368120, 10341831284004956816162291534026258596480, 20411656176119953708643439784883692028203008000], 'label': '33218887680.a.12.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566521
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [5160, 431474496200776407643522010537178682555547754370135680, 33472924495253696091997057269049409190321156096000, 116688612171253178121931574898525726549696, 51090942177936460800, 10888869501509650026132556800, 564680842699663671398465756217998653069362662400, 60448715589997341275747317991764261012146837010596480, 25903107682370587468800, 122000787877207680, 865895199160844446404849975141208554158772822929644800, 8231691320552322981364567189668480, 10904380660583683934588928000, 1307714289967, 8841777504949745286837274730880, 20397892414353641425216920131255629964132772480, 10341831284004956816162291532712316928000, 1307674730880, 121, 357001329847680, 586181291708868055602387324869779608205001848336, 1915983293982899771298526435220572645926706421755971256, 1313941668480, 8691540468354933868754627818623033600, 1307674368120, 5167, 20411645834296901395007150042587843614226596480], 'label': '33218887680.a.110._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566522
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 371058960472755911754919966428860914681400098561917376, 1307674368000, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635867464402662392, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566523
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566524
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566525
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1360764827089703675385514757251449857231444470911772678, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566526
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360764827089703675385514757251449857231444470911767758, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566527
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 60415283461266258674314186986190125669095104583481607, 1360764827089703675385514757251449857231444470911772678, 25852138383985385472121, 122000787877207680, 1307674368120, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566528
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 1307674368120, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 1360764827089703675385514757251449857231444470911767758, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566529
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566530
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360764827089703675385514757251449857231444470911767758, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566531
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 989706451709170651265598907868922884726380486743028432, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566532
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [5160, 431474496200776407643522010537178682555547754370135680, 33472924495253696091997057269049409190321156096000, 51090942177936460800, 10888869501509650026132556800, 564680842699663671398465756217998653069362662400, 60448715589997341275747317991764261012146837010596480, 25903107682370587468800, 122000787877207680, 865895199160844446404849975141208554158772822929644800, 8231691320552322981364567189668480, 10904380660583683934588928000, 1307714289967, 8841777504949745286837274730880, 20397892414353641425216920131255629964132772480, 10341831284004956816162291532712316928000, 1307674368000, 1307674730880, 121, 116688612171253178121931574898525726549816, 357001329847680, 586181291708868055602387324869779608205001848336, 1915983293982899771298526435220572645926706421755971256, 1313941668480, 8691540468354933868754627818623033600, 5167, 20411645834296901395007150042587843614226596480], 'label': '33218887680.a.110._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566533
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1050121714758780742495045324576365689635867464402662272, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566534
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [247452063561387786739224187786944724625950601072020542, 51091297859137541046, 5167, 371058960472755911754919966428860914681400098561917376, 1360765559250583005252983172778134945603256527229219078, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 5160, 8841762019642931636388139376047, 1313901751681, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 1307674368120, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566535
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [1050121714758780742495045324576365689635867464402662272, 51091297859137541046, 5167, 371058960472755911754919966428860914681400098561917376, 1360765559250583005252983172778134945603256527229219078, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 5160, 8841762019642931636388139376047, 1313901751681, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 1307674368120, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566536
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1050121714758780742495045324576365689635867464402662272, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566537
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1050121714758780742495045324576365689635867464402662272, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566538
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 1307674373160, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566539
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566540
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 8683326471462775537777242092418873721, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566541
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566542
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566543
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [5160, 431474496200776407643522010537178682555547754370135680, 33472924495253696091997057269049409190321156096000, 116688612171253178121931574898525726549696, 51090942177936460800, 10888869501509650026132556800, 564680842699663671398465756217998653069362662400, 60448715589997341275747317991764261012146837010596480, 25903107682370587468800, 122000787877207680, 865895199160844446404849975141208554158772822929644800, 8231691320552322981364567189668480, 10904380660583683934588928000, 1307714289967, 8841777504949745286837274730880, 20397892414353641425216920131255629964132772480, 10341831284004956816162291532712316928000, 1307674730880, 121, 116688612171253178121931574898525726549816, 357001329847680, 586181291708868055602387324869779608205001848336, 1915983293982899771298526435220572645926706421755971256, 1313941668480, 8691540468354933868754627818623033600, 5167, 20411645834296901395007150042587843614226596480], 'label': '33218887680.a.110._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566544
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566545
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 1307674368120, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 1307674373160, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566546
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 371058960472755911754919966428860914681400098561917376, 1307674368000, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 1307674368120, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566547
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662720070248097158, 1313901756841, 5167, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720070248097278, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586135758, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566548
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360765559250582996569656723093098308662720070248097158, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566549
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662720070248097158, 1313901756841, 5167, 6227383681, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586135758, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566550
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662720070248097158, 1313901756841, 5167, 371058960472755911754919966428860914681400098561917376, 1307674368000, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586135758, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566551
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 1360765559250582996569656723093098308662720070248097278, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566552
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566553
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 6227383681, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566554
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [5160, 431474496200776407643522010537178682555547754370135680, 33472924495253696091997057269049409190321156096000, 51090942177936460800, 10888869501509650026132556800, 564680842699663671398465756217998653069362662400, 60448715589997341275747317991764261012146837010596480, 25903107682370587468800, 122000787877207680, 865895199160844446404849975141208554158772822929644800, 8231691320552322981364567189668480, 10904380660583683934588928000, 1307714289967, 8841777504949745286837274730880, 20397892414353641425216920131255629964132772480, 10341831284004956816162291532712316928000, 1307674368000, 1307674730880, 121, 357001329847680, 586181291708868055602387324869779608205001848336, 1313941668480, 8691540468354933868754627818623033600, 1307674368120, 116688612171253178121931574897218052181696, 5167, 20411645834296901395007150042587843614226596480], 'label': '33218887680.a.110._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566555
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566556
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 1360765559250582996569656723093098308662720070248097278, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 6227383801, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1360764827089703675385514757251449857231445778586135758, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566557
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 6227383801, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566558
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 6227383681, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 6227383801, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1360764827089703675385514757251449857231445778586135758, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566559
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 6227383801, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 1360764827089703675385514757251449857231445778586135758, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.ID', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566560
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1313901756841, 5167, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 1360765559250582996569656723093098308662720070248097278, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586135758, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 1307674368120, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566561
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 1313901756841, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566562
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1313901756841, 5167, 6227383681, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586135758, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 1307674368120, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566563
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 1313901756841, 5167, 371058960472755911754919966428860914681400098561917376, 1307674368000, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586135758, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 1307674368120, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566564
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 1360765559250583005252983172778134945603257834903587078, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1360765559250583005252983172778134945603257834903587198, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.II', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566565
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [5160, 431474496200776407643522010537178682555547754370135680, 33472924495253696091997057269049409190321156096000, 51090942177936460800, 10888869501509650026132556800, 564680842699663671398465756217998653069362662400, 60448715589997341275747317991764261012146837010596480, 25903107682370587468800, 122000787877207680, 865895199160844446404849975141208554158772822929644800, 8231691320552322981364567189668480, 10904380660583683934588928000, 1307714289967, 8841777504949745286837274730880, 20397892414353641425216920131255629964132772480, 10341831284004956816162291532712316928000, 1307674730880, 121, 357001329847680, 586181291708868055602387324869779608205001848336, 1313941668480, 8691540468354933868754627818623033600, 1307674368120, 116688612171253178121931574897218052181696, 5167, 20411645834296901395007150042587843614226596480, 1915983293982899771298526435220572645926707729430339256], 'label': '33218887680.a.110._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566566
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1360765559250583005252983172778134945603257834903587198, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566567
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1360765559250583005252983172778134945603257834903587198, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 8683326471462775537777242092418873721, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566568
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 2597822063695079650868438964997500664698657810460103622, 8683326471462775537777242086192215800, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 8683326471462775537777240784744510641, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566569
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1360765559250582996569656723093098308662720064020708439, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 1668565520279606374691511531932494292174274087959433478, 1668598972806219547173705629501393115505745692734441479, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566570
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 1360731374563090502903320637904812133063268544600759759, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1360765559250582996569656723093098308662720064020708439, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 1668598972806219547173705629501393115505745692734441479, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566571
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 1360731374563090502903320637904812133063268544600759759, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 1050121714758780742495045324576365689635866156728294272, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1360765559250582996569656723093098308662720064020708439, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566572
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1050088241834295830638451340272477645852372506860073553, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566573
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 60415283461266258674314186986190125669093796909113607, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1050088241834295830638451340272477645852372506860073553, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566574
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 60415283461266258674314186986190125669093796909113607, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 60415283461266258674314186986190125669093796909113727, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1050088241834295830638451340272477645852372506860073553, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566575
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 60415283461266258674314186986190125669093796909113727, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1050088241834295830638451340272477645852372506860073553, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566576
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [5160, 431474496200776407643522010537178682555547754370135680, 33472924495253696091997057269049409190321156096000, 51090942177936460800, 10888869501509650026132556800, 564680842699663671398465756217998653069362662400, 60448715589997341275747317991764261012146837010596480, 25903107682370587468800, 122000787877207680, 865895199160844446404849975141208554158772822929644800, 8231691320552322981364567189668480, 10904380660583683934588928000, 1307714289967, 8841777504949745286837274730880, 20397892414353641425216920131255629964132772480, 10341831284004956816162291532712316928000, 1307674368000, 1307674730880, 1915983293982899771298526435220572645926707729430339136, 121, 357001329847680, 586181291708868055602387324869779608205001848336, 1313941668480, 8691540468354933868754627818623033600, 116688612171253178121931574897218052181696, 5167, 20411645834296901395007150042587843614226596480], 'label': '33218887680.a.110._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566577
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 60415283461266258674314186986190125669093796909113727, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566578
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 60415283461266258674314186986190125669093796909113607, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 60415283461266258674314186986190125669093796909113727, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566579
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [1668598972806229871638354407723305737057242283097172359, 51091297859137541046, 5167, 371058960472755911754919966428860914681400098561917376, 1307674368000, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 5160, 8841762019642931636388139376047, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 1307674368120, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8683326471462775537777242086192215800, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566580
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 60415283461266258674314186986190125669093796909113607, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566581
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566582
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 5167, 371058960472755911754919966428860914681400098561917376, 1307674368000, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 5160, 8683326471462775537777240784744505721, 8841762019642931636388139376047, 989672978784685739409004923534012420856226172581185793, 1313901751681, 25852138383985385472121, 122000787877207680, 1307674368120, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566583
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 5167, 60415283461266258674314186986190125669093796909113607, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 5160, 8683326471462775537777240784744505721, 8841762019642931636388139376047, 989672978784685739409004923534012420856226172581185793, 1313901751681, 25852138383985385472121, 122000787877207680, 1307674368120, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566584
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 60415283461266258674314186986190125669093796909113607, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 989672978784685739409004923534012420856226172581185793, 362886, 60415283461266258674314186986190125669093796909113727, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566585
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 989672978784685739409004923534012420856226172581185793, 362886, 60415283461266258674314186986190125669093796909113727, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566586
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 60415283461266258674314186986190125669093796909113727, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566587
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [5160, 431474496200776407643522010537178682555547754370135680, 33472924495253696091997057269049409190321156096000, 51090942177936460800, 10888869501509650026132556800, 564680842699663671398465756217998653069362662400, 60448715589997341275747317991764261012146837010596480, 25903107682370587468800, 122000787877207680, 865895199160844446404849975141208554158772822929644800, 8231691320552322981364567189668480, 10904380660583683934588928000, 1307714289967, 8841777504949745286837274730880, 20397892414353641425216920131255629964132772480, 10341831284004956816162291532712316928000, 1307674730880, 1915983293982899771298526435220572645926707729430339136, 121, 357001329847680, 586181291708868055602387324869779608205001848336, 1313941668480, 8691540468354933868754627818623033600, 116688612171253178121931574897218052181696, 5167, 20411645834296901395007150042587843614226596480, 1915983293982899771298526435220572645926707729430339256], 'label': '33218887680.a.110._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566588
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 60415283461266258674314186986190125669093796909113607, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 60415283461266258674314186986190125669093796909113727, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566589
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 1360765559250582996569656723093098308662721377922465278, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 1360765559250582996569656723093098308662720064020708439, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566590
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 60415283461266258674314186986190125669093796909113607, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566591
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 1050121714758780742495045324576365689635866156728294272, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566592
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 8683326471462775537777242086192215800, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 6227383801, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1668598972806219547173705629501393115505747000408809479, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566593
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 5167, 1668598972806219547173705629501393115505747000408809479, 371058960472755911754919966428860914681400098561917376, 1307674368000, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 5160, 8841762019642931636388139376047, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 1307674368120, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8683326471462775537777242086192215800, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566594
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 1668598972806219547173705629501393115505747000408804559, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 8683326471462775537777240784744510641, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566595
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 1668598972806219547173705629501393115505747000408804559, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 8683326471462775537777240784744510641, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674373040, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566596
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 8683326471462775537777240784744510641, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1668598972806219547173705629501393115505747000408809479, 1307674373040, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566597
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 8683326471462775537777240784744510641, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1668598972806219547173705629501393115505747000408809479, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566598
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [5160, 431474496200776407643522010537178682555547754370135680, 33472924495253696091997057269049409190321156096000, 51090942177936460800, 1915983293982772114730845278473207013123142367966838343, 10888869501509650026132556800, 564680842699663671398465756217998653069362662400, 60448715589997341275747317991764261012146837010596480, 25903107682370587468800, 122000787877207680, 865895199160844446404849975141208554158772822929644800, 8231691320552322981364567189668480, 10904380660583683934588928000, 1307714289967, 8841777504949745286837274730880, 20397892414353641425216920131255629964132772480, 10341831284004956816162291532712316928000, 1307674368000, 1307674730880, 121, 357001329847680, 586181291708868055602387324869779608205001848336, 1313941668480, 8691540468354933868754627818623033600, 1307674368120, 5167, 20411645834296901395007150042587843614226596480], 'label': '33218887680.a.110._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566599
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 2102985993533348952247674917235811328519418330000577913, 40279687, 271632173724845384361679882441140324198629241599, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 2102985993533348952247674917235811328519418330000577793, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566600
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 271632173724845384361679882441140324198629241599, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 2102985993533348952247674917235811328519418330000577793, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566601
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 2102985993533348952247674917235811328519418330000577913, 40279687, 271632173724845384361679882441140324198629241599, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2102986097671541763134503820154844791849437900899828558, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566602
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 271632173724845384361679882441140324198629241599, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2102986097671541763134503820154844791849437900899828558, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566603
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 8683326471462775537777242086192215800, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 8683326471462775537777240784744510641, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566604
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 2102985993533348952247674917235811328519418330000577913, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 2102985993533348952247674917235811328519418330000577793, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 271632173724845384361679882441140325512530262358, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2102986097671541763134503820154844791849437900899828558, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566605
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 2102985993533348952247674917235811328519418330000577793, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 271632173724845384361679882441140325512530262358, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2102986097671541763134503820154844791849437900899828558, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566675
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [40279687, 33472924495245004551528702335231745860367937536000, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 431507466684034760073971008581711708624549338544849337, 13763753091226345046341831598319787376640000, 121, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 1307674373040, 1484542543357565313673692091437531296154408653160710422, 1307674368120, 5167], 'label': '33218887680.a.528._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566606
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 1360765559250582996569656723093098308662721377922465278, 40279687, 8222838654177922939370663328748920, 1360765559250583005252983172778134945603256527229219078, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 1050121714758780742495045324576365689635867464402662392, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 1360765559250582996569656723093098308662720064020708439, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566607
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 5167, 271632173724845384361679882441140325512530262358, 2102985993533348952247674917235811328519418330000577913, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 5160, 8683326471462775537777240784744505721, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586135758, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 1360765559250582996569656723093098308662721371695081479, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566608
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 1360765559250582996569656723093098308662721371695081479, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 1360765559250582996569656723093098308662721371695081599, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 271632173724845384361679882441140325512530262358, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566609
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [5160, 431474496200776407643522010537178682555547754370135680, 33472924495253696091997057269049409190321156096000, 51090942177936460800, 1915983293982772114730845278473207013123142367966838343, 10888869501509650026132556800, 564680842699663671398465756217998653069362662400, 60448715589997341275747317991764261012146837010596480, 25903107682370587468800, 122000787877207680, 865895199160844446404849975141208554158772822929644800, 8231691320552322981364567189668480, 10904380660583683934588928000, 1307714289967, 8841777504949745286837274730880, 20397892414353641425216920131255629964132772480, 10341831284004956816162291532712316928000, 1307674730880, 121, 357001329847680, 586181291708868055602387324869779608205001848336, 1313941668480, 8691540468354933868754627818623033600, 1307674368120, 5167, 20411645834296901395007150042587843614226596480, 1915983293982899771298526435220572645926707729430339256], 'label': '33218887680.a.110._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566610
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 271632173724845384361679882441140325506303604559, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 271632173724845384361679882441140325506303604439, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 271632173724845384361679882441140325512530262358, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566611
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 5167, 271632173724845384361679882441140325512530262358, 371058960472755911754919966428860914681400098561917376, 1307674368000, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 5160, 8683326471462775537777240784744505721, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586135758, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 271632173724845384361679882441140325506303604559, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566612
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 271632173724845384361679882441140325506303604439, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 271632173724845384361679882441140325512530262358, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2102986097671541763134503820154844791849437900899828558, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.JZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.JZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566613
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 5167, 271632173724845384361679882441140325512530262358, 371058960472755911754919966428860914681400098561917376, 1307674368000, 13763753091226345046341882811262746923371001, 2102986097671541763134503820154844791849437900899828558, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 5160, 8683326471462775537777240784744505721, 8841762019642931636388139376047, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 1307674368120, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566614
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 371058960472755911754919966428860914681400098561917376, 1360765559250583005252983172778134945603256527229219078, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 60415283461266258674314186986190125669095104583481607, 2597822063695079650868438964997500664698656502785735622, 25852138383985385472121, 122000787877207680, 1307674368120, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566615
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 5167, 271632173724845384361679882441140325512530262358, 271632173724845384361679882441140324198629241599, 371058960472755911754919966428860914681400098561917376, 1307674368000, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586135758, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 271632173724845384361679882441140325506303604559, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566627
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 5167, 371058960472755911754919966428860914681400098561917376, 1307674368000, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 5160, 8683326471462775537777240784744505721, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586135758, 1313901751681, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 1307674368120, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566616
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 5167, 271632173724845384361679882441140325512530262358, 271632173724845384361679882441140324198629241599, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 271632173724845384361679882441140325506303604439, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586135758, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 271632173724845384361679882441140325506303604559, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566617
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 5167, 271632173724845384361679882441140325512530262358, 271632173724845384361679882441140324198629241599, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 271632173724845384361679882441140325506303604439, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586135758, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 1307674368120, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566618
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 5167, 271632173724845384361679882441140325512530262358, 271632173724845384361679882441140324198629241599, 371058960472755911754919966428860914681400098561917376, 1307674368000, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586135758, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 1307674368120, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566619
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 271632173724845384361679882441140324198629241599, 8222838654177922939370663328748920, 271632173724845384361679882441140325506303604559, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 271632173724845384361679882441140325506303604439, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566620
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [5160, 431474496200776407643522010537178682555547754370135680, 33472924495253696091997057269049409190321156096000, 51090942177936460800, 1915983293982772114730845278473207013123142367966838343, 10888869501509650026132556800, 564680842699663671398465756217998653069362662400, 60448715589997341275747317991764261012146837010596480, 25903107682370587468800, 122000787877207680, 865895199160844446404849975141208554158772822929644800, 8231691320552322981364567189668480, 10904380660583683934588928000, 1307714289967, 8841777504949745286837274730880, 20397892414353641425216920131255629964132772480, 10341831284004956816162291532712316928000, 1307674368000, 1307674730880, 1915983293982899771298526435220572645926707729430339136, 121, 357001329847680, 586181291708868055602387324869779608205001848336, 1313941668480, 8691540468354933868754627818623033600, 5167, 20411645834296901395007150042587843614226596480], 'label': '33218887680.a.110._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566621
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 5167, 271632173724845384361679882441140324198629241599, 371058960472755911754919966428860914681400098561917376, 1307674368000, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 8841762019642931636388139376047, 1360764827089703675385514757251449857231445778586135758, 1313901751681, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 271632173724845384361679882441140325506303604559, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566622
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 271632173724845384361679882441140324198629241599, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 271632173724845384361679882441140325506303604439, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 2102986097671541763134503820154844791849437900899828558, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566623
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 5167, 271632173724845384361679882441140324198629241599, 371058960472755911754919966428860914681400098561917376, 1307674368000, 13763753091226345046341882811262746923371001, 2102986097671541763134503820154844791849437900899828558, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 8841762019642931636388139376047, 1313901751681, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 1307674368120, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566624
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 271632173724845384361679882441140325506303604559, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566625
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 271632173724845384361679882441140325506303604559, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 271632173724845384361679882441140325506303604439, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566626
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 271632173724845384361679882441140325506303604439, 8683326471462775537777240784744505721, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 362886, 10888869450539997261216748920, 1360764827089703675385514757251449857231445778586135758, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566628
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 8683326471462775537777242086192215800, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 6227383801, 1668598972806229871638354407723305737057242283097172359, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566629
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 2039794400467504004175724751521383393861112447133875183, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250583005252983172778134945603257828676929159, 1668598972806229871638354407723305737057240975422804359, 362886, 1668598972806219547173705629501393115505745692734441599, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566630
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 8683326471462775537777242086192215800, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 8683326471462775537777240784744510641, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 1307674368000, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1307674368120, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566631
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [8841761993739701954549843020800, 20411645834288669703686597719484478259200000000, 5160, 40279687, 10904380660461684460653388800, 51090942177936460800, 8231680416171662519681420397388800, 8683326460573880235220148951123383801, 1979345308088792022961313844520829789988773519511223817, 25903107682370587468800, 10888869450418353468442368000, 60448715589997341283978998407961826639508000192681647, 1668564788132426964759382724407594713693827275969149367, 122002101738316800, 33452526613172490434630651444937106442948244919801, 362881, 355693655116800, 1307674368000, 121, 60448715589986999444463313034974001950294655275008000, 1313941668480, 20397882081197443358640281739902897356800000000, 1307674368120, 5167], 'label': '33218887680.a.22._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566632
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [5160, 431474496200776407643522010537178682555547754370135680, 33472924495253696091997057269049409190321156096000, 51090942177936460800, 1915983293982772114730845278473207013123142367966838343, 10888869501509650026132556800, 564680842699663671398465756217998653069362662400, 60448715589997341275747317991764261012146837010596480, 25903107682370587468800, 122000787877207680, 865895199160844446404849975141208554158772822929644800, 8231691320552322981364567189668480, 10904380660583683934588928000, 1307714289967, 8841777504949745286837274730880, 20397892414353641425216920131255629964132772480, 10341831284004956816162291532712316928000, 1307674730880, 1915983293982899771298526435220572645926707729430339136, 121, 357001329847680, 586181291708868055602387324869779608205001848336, 1313941668480, 8691540468354933868754627818623033600, 5167, 20411645834296901395007150042587843614226596480, 1915983293982899771298526435220572645926707729430339256], 'label': '33218887680.a.110._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566633
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [2597822063695079650868438964997500664698656502785735742, 51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 8683326471462775537777242086192215800, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 8683326471462775537777240784744510641, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566634
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 2039794400467504004175724751521383393861112447133875183, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250583005252983172778134945603257828676929159, 362886, 1668598972806219547173705629501393115505745692734441599, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1668598972806219547173705629501393115505745692734441479, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566635
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 371058960472755911754919966428860914681400098561917376, 1307674368000, 1360765559250583005252983172778134945603256527229219078, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 1307674368120, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566636
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [1668598972806229871638354407723305737057240975422804479, 51091297859137541046, 5167, 1360765559250583005252983172778134945603257828676929159, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 5160, 8841762019642931636388139376047, 1668598972806219547173705629501393115505745692734441479, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 2039794400467504004175724751521383393861112447133875183, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566637
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 2039794400467504004175724751521383393861112447133875183, 1668598972806229871638354407723305737057240975422804479, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 1360765559250583005252983172778134945603257828676929159, 1668598972806229871638354407723305737057240975422804359, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566670
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [8683317618811886495639839501688832000, 371092183236691500814562609866814070322336368795568680, 5167, 60415263077137588728581477114829977088845414400000000, 8841777504949745285535827383806, 10888869450418352160768000127, 33472924495245004551528702335231745860367937536000, 1313901393960, 363007, 10904380660461683146752000007, 1307674373040, 25852138383985385472000, 1307674368120, 20397882081197443358640281739903253044228096000, 40279687, 51091297859137536000, 33933467123885975092649860333444060649923452902398, 121, 10333147966386144929717742279694909440000, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 121645100408832000], 'label': '33218887680.a.528._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566638
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 2597822063695079650868438964997500664698657810460103622, 371058960472755911754919966428860914681400098561917376, 1668598972806219547173705629501393115505745692734436559, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360765559250583005252983172778134945603256527229214158, 926344291623669477347502795475566040981525805759141166, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566639
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 2597822063695079650868438964997500664698657810460103622, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360765559250583005252983172778134945603256527229214158, 926344291623669477347502795475566040981525805759141166, 1668598972806219547173705629501393115505745692734441479, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.KX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566640
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 2597822063695079650868438964997500664698657810460103622, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360765559250583005252983172778134945603256527229214158, 1668598972806219547173705629501393115505745692734441479, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.KY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566641
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 371058960472755911754919966428860914681400098561917376, 1360765559250583005252983172778134945603256527229219078, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 1360764827089703675385514757251449857231444470911767638, 60415283461266258674314186986190125669095104583481607, 2597822063695079650868438964997500664698656502785735622, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.KZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.KZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.KZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566642
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 2597822063695079650868438964997500664698657810460103622, 371058960472755911754919966428860914681400098561917376, 1668598972806219547173705629501393115505745692734436559, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360765559250583005252983172778134945603256527229214158, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.LA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.LA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.LA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566643
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [8841761993739701954549843020800, 8231691320552322981363253248000000, 20411656176128185399963992107743055807515468800, 60449112804312440783752865112011792488896243798422407, 10904406563569364203438080000, 60415263063373835637355132068513997507264512000000006, 25903107682370587468800, 10888895302435091045744640000, 8683317618811886546609137886890828800, 1313901388800, 33452526613163807108170062053440751665152000000001, 355687468012800, 20397892414353632594328284631807052796299008000, 121645100408837040, 51090943479383808000, 1307674368000, 121, 1307674373041, 5046, 367920, 120, 1544957722680777377572386707639529587233717300415004233, 10341831284015861222725738897441819468800, 39916801], 'label': '33218887680.a.132._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '132.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566644
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 1360765559250582996569656723093098308662721377922465278, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 1360764827089713999850163513695623577946235432064130518, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.LB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.LB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.LB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566645
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 1668598972806219547173705629501393115505745692734441599, 371058960472755911754919966428860914681400098561917376, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 5160, 8683326471462775537777240784744505721, 8841762019642931636388139376047, 1668598972806219547173705629501393115505745692734441479, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.LC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.LC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.LC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566646
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 1360765559250582996569656723093098308662721377922465278, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 1668598972806219547173705629501393115505745692734441599, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.LD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.LD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.LD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566647
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 1360765559250582996569656723093098308662721377922465278, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1668598972806219547173705629501393115505745692734441479, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.LE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.LE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.LE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566671
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [8683317618811886495639839501688832000, 5167, 60415263077137588728581477114829977088845414400000000, 8841777504949745285535827383806, 10888869450418352160768000127, 33472924495245004551528702335231745860367937536000, 1313901393960, 363007, 10904380660461683146752000007, 1307674373040, 371092183236691500814562609866814070443625781776304680, 355687428096000, 25852138383985385472000, 1307674368120, 20397882081197443358640281739903253044228096000, 40279687, 51091297859137536000, 33933467123885975092649860333444060649923452902398, 121, 10333147966386144929717742279694909440000, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647], 'label': '33218887680.a.528._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566648
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 1360765559250582996569656723093098308662721377922465278, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.LF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.LF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.LF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566649
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1360764827089703675385514757251449857231444470911772678, 121, 1360765559250582996569656723093098308662720064020708439, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167, 1360764827089703675385514757251449857231444470911772798], 'label': '33218887680.a.440._.LG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.LG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.LG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566650
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1360765559250582996569656723093098308662720064020708439, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167, 1360764827089703675385514757251449857231444470911772798], 'label': '33218887680.a.440._.LH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.LH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.LH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566651
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 1360764827089703675385514757251449857231444470911772678, 121, 1360765559250582996569656723093098308662720064020708439, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.LI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.LI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.LI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566652
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 8683326471462775537777240784744505721, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1360765559250582996569656723093098308662720064020708439, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.LJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.LJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566653
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 2597822063695079650868438964997500664698657810460103622, 8683326471462775537777242086192215800, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 8683326471462775537777240784744510641, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.LK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.LK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.LK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566654
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [8841761993739701954549843020800, 1307674373161, 8231691320552322981363253248000000, 20411656176128185399963992107743055807515468800, 10904406563569364203438080000, 60415263063373835637355132068513997507264512000000006, 25903107682370587468800, 10888895302435091045744640000, 8683317618811886546609137886890828800, 1313901388800, 33452526613163807108170062053440751665152000000001, 1484542690439974585510417022551008993878440833227601961, 2226763689389660232549958298647410621448727814747094447, 355687468012800, 20397892414353632594328284631807052796299008000, 121645100408837040, 51090943479383808000, 1307674368000, 121, 5046, 367920, 10341831284015861222725738897441819468800, 39916801], 'label': '33218887680.a.132._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '132.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566655
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 1360765559250582996569656723093098308662721377922465278, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 1360764827089713999850163513695623577946235432064130518, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089713999850163513695623577946235432064130638, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.LL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.LL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.LL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566656
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 8683326471462775537777242086192215800, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 8683326471462775537777240784744510641, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 1360765559250582996569656723093098308662720064020713599, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.LM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.LM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.LM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566657
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 1360765559250582996569656723093098308662721377922465278, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089713999850163513695623577946235432064130638, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.LN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.LN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.LN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566672
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [40279687, 33472924495245004551528702335231745860367937536000, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 122000787836928000, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 33913083005557868875636266367683739333469052902398, 1307674373040, 371092183236691500814562609866814070321980681367472680, 1307674368120, 5167], 'label': '33218887680.a.528._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566658
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 5160, 1360765559250582996569656723093098308662721377922465278, 40279687, 8222838654177922939370663328748920, 989706451709170651265598907868922884726381794417396432, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 1360764827089703675385514757251449857231444470911767638, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 8841762019642931636388139376047, 2534630910830173511540391473405600373936705987500001982, 1360764827089703675385514757251449857231444470911767758, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.LO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.LO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.LO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566659
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 1360765559250582996569656723093098308662721377922465278, 5167, 371058960472755911754919966428860914681400098561917376, 1360765559250583005252983172778134945603256527229219078, 13763753091226345046341882811262746923371001, 362886, 10888869450539997261216748920, 33452526613163815331019605100813987742875648000120, 1360765559250582996569656723093098308662720064020708439, 8841762019642931636388139376047, 1360764827089703675385514757251449857231444470911767638, 60415283461266258674314186986190125669095104583481607, 25852138383985385472121, 122000787877207680, 271632173724845384361679882441140324198629236439, 40279687, 20397882081197443369529151190321249517607916801, 355687428458880, 8222838654177922939370663328748920, 121, 60448715603750752543921338481924530778542833664363000, 15537113272657143079280041, 1360764827089703675385514757251449857231444470911767758, 2534630910830173511540391473405600373936705987500001982], 'label': '33218887680.a.440._.LP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.LP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.LP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566660
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 220, 'diagramx': None, 'generators': [51091297859137541046, 355687428458880, 40279687, 8222838654177922939370663328748920, 371058960472755911754919966428860914681400098561917376, 122000787877207680, 1313901751681, 60448715603750752543921338481924530778542833664363000, 33452526613163815331019605100813987742875648000120, 1050121714758780742495045324576365689635866156728294272, 13763753091226345046341882811262746923371001, 60415283461266258674314186986190125669095104583481607, 271632173724845384361679882441140324198629236439, 25852138383985385472121, 362886, 10888869450539997261216748920, 15537113272657143079280041, 121, 1360765559250582996569656723093098308662720064020708439, 2534630910830173511540391473405600373936705987500001982, 8841762019642931636388139376047, 1360764827089703675385514757251449857231444470911767758, 1668565520279606374691511531932494292174274087959433478, 20397882081197443369529151190321249517607916801, 5167], 'label': '33218887680.a.440._.LQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.LQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.LQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566661
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': '495.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': 495, 'diagramx': None, 'generators': [5160, 356995102464000, 678925680518630638282796787361835766491683204105860503, 1313941673647, 1307714284921, 122002101738316800, 8231691320578226089044309974359680, 8852650889042137045589400556800, 106364147513644098622082799870724924173942, 25852017095880119020800, 1307674368000, 10888869450418352160807916800, 121, 10333156198066561127232400343786790912000, 60448715589997341283978998407961826639508000192676480, 51212587278345655687, 33452526623496963297394876672291476646502409655680, 10904380660461683146792279680, 363000, 8683326460573906087237243517300736000, 1297539551804651638993714994366577947706698217420438983, 1307674368120, 20397882089880769819214187827140140874100736001, 5167, 20411645834288669703686597719484478259200000007, 1792342420660041759692219647545265267504331766679353600], 'label': '33218887680.a.495.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '495.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '495.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566662
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [1484542543357565313673692091437531296154408653161073302, 40279687, 33472924495245004551528702335231745860367937536000, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 431507466684034760073971019470581159042901499312849337, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 1307674373040, 1307674368120, 5167], 'label': '33218887680.a.528._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566663
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [8683317618811886495639839501688832000, 5040, 371092183236691500814562609866814070443981469204400680, 5167, 60415263077137588728581477114829977088845414400000000, 8841777504949745285535827383806, 10888869450418352160768000127, 33472924495245004551528702335231745860367937536000, 1313901393960, 1307674368000, 363007, 10904380660461683146752000007, 25852138383985385472000, 1307674368120, 20397882081197443358640281739903253044228096000, 40279687, 51091297859137536000, 33933467123885975092649860333444060649923452902398, 121, 10333147966386144929717742279694909440000, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647], 'label': '33218887680.a.528._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566664
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [371092183236691500814562609866814070443981469204400680, 40279687, 33472924495245004551528702335231745860367937536000, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 33933467123885975092649860333444060649923452902398, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 122002095511296000, 51091297859137536000, 122000787836933040, 1307674368120, 5167], 'label': '33218887680.a.528._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566665
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [8841761993739701954549843020800, 1307674373161, 8231691320552322981363253248000000, 20411656176128185399963992107743055807515468800, 10904406563569364203438080000, 60415263063373835637355132068513997507264512000000006, 25903107682370587468800, 10888895302435091045744640000, 8683317618811886546609137886890828800, 1313901388800, 1484542690439974585510417022550983141861701948250956920, 33452526613163807108170062053440751665152000000001, 2226763689389660232549958298647410621448727814747094447, 355687468012800, 20397892414353632594328284631807052796299008000, 121645100408837040, 51090943479383808000, 5041, 121, 5046, 367920, 10341831284015861222725738897441819468800, 39916801], 'label': '33218887680.a.132._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '132.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566666
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [371092183236691500814562609866814070443981469204400680, 40279687, 33472924495245004551528702335231745860367937536000, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 121645100408837040, 33933467123885975092649860333444060649923452902398, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 1307674373040, 1307674368120, 5167], 'label': '33218887680.a.528._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566667
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [8683317618811886495639839501688832000, 371092183236691500814562609866814070443981469204400680, 5167, 60415263077137588728581477114829977088845414400000000, 8841777504949745285535827383806, 10888869450418352160768000127, 33472924495245004551528702335231745860367937536000, 1313901393960, 363007, 10904380660461683146752000007, 1307674373040, 355687428101040, 25852138383985385472000, 1307674368120, 20397882081197443358640281739903253044228096000, 40279687, 51091297859137536000, 33933467123885975092649860333444060649923452902398, 121, 10333147966386144929717742279694909440000, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647], 'label': '33218887680.a.528._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566668
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [122002095511301040, 40279687, 33472924495245004551528702335231745860367937536000, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 371092183236691500814562609866814070443625781776304680, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 33913083005557868875636266367683739333469052902398, 1307674368120, 5167, 355687428096000], 'label': '33218887680.a.528._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566669
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [122002095511301040, 40279687, 33472924495245004551528702335231745860367937536000, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 371092183236691500814562609866814070322336368795568680, 20397882081197443358640281739903253044228096000, 60415263077137588728581477114829977088845414400000000, 121645100408832000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 33913083005557868875636266367683739333469052902398, 1307674368120, 5167], 'label': '33218887680.a.528._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566676
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [8841761993739701954549843020800, 1307674373161, 8231691320552322981363253248000000, 20411656176128185399963992107743055807515468800, 10904406563569364203438080000, 60415263063373835637355132068513997507264512000000006, 25903107682370587468800, 10888895302435091045744640000, 8683317618811886546609137886890828800, 1313901388800, 1484542690439974585510417022550983141861701948250956920, 33452526613163807108170062053440751665152000000001, 355687468012800, 20397892414353632594328284631807052796299008000, 121645100408837040, 51090943479383808000, 2287178952453034068187304588953930879254037783171011247, 1307674368000, 121, 5046, 367920, 10341831284015861222725738897441819468800, 39916801], 'label': '33218887680.a.132._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '132.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566677
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [40279687, 33472924495245004551528702335231745860367937536000, 431507466684034760073971008581711708503259925564113337, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 1544924353894325985503939053443991852910008013160710422, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 1307674373040, 1307674368120, 5167], 'label': '33218887680.a.528._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566678
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [8683317618811886495639839501688832000, 5167, 60415263077137588728581477114829977088845414400000000, 1484509090830952149866583921375477855402743501160710422, 8841777504949745285535827383806, 10888869450418352160768000127, 33472924495245004551528702335231745860367937536000, 1313901393960, 363007, 10904380660461683146752000007, 1307674373040, 431507466684034760073971008581711708624905025972945337, 25852138383985385472000, 1307674368120, 20397882081197443358640281739903253044228096000, 40279687, 51091297859137536000, 121, 10333147966386144929717742279694909440000, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647], 'label': '33218887680.a.528._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566679
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [40279687, 33472924495245004551528702335231745860367937536000, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 431507466684034760073971008581711708502904238136017337, 1544957806420939149311047223506045293661673165160710422, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 1307674373040, 1307674368120, 5167], 'label': '33218887680.a.528._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566680
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [40279687, 33472924495245004551528702335231745860367937536000, 431507466684034760073971019470581158921256398904017337, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 1544957806420939149311047223506045293661673165161073302, 8683317618811886495639839501688832000, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 1307674373040, 1307674368120, 5167], 'label': '33218887680.a.528._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566681
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [8683317618811886495639839501688832000, 5167, 60415263077137588728581477114829977088845414400000000, 8841777504949745285535827383806, 10888869450418352160768000127, 33472924495245004551528702335231745860367937536000, 1313901393960, 363007, 10904380660461683146752000007, 1307674373040, 1484509090830952149866583921375477855402743501161073302, 25852138383985385472000, 1307674368120, 20397882081197443358640281739903253044228096000, 40279687, 51091297859137536000, 431507466684034760073971019470581159043257186740945337, 121, 10333147966386144929717742279694909440000, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647], 'label': '33218887680.a.528._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566682
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [40279687, 33472924495245004551528702335231745860367937536000, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 1544924353894325985503939053443991852910008013161073302, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 431507466684034760073971019470581158921612086332113337, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 1307674373040, 1307674368120, 5167], 'label': '33218887680.a.528._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566683
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [371092183236691500814562609866814070443981469204400680, 40279687, 33472924495245004551528702335231745860367937536000, 355687428101040, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 33933480887639066318994906649423642230825852902398, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 122002095511296000, 51091297859137536000, 1307674368120, 5167], 'label': '33218887680.a.528._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566684
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33472924495245004551528702335231745860367937536000, 356995102464000, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 33913083005557868875625377498233320981308284902278, 8683317618811886495639839501688832000, 371092183236691500814562609866814070322336368795568560, 122000787836928000, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 1307674368120, 5167], 'label': '33218887680.a.528._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566685
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [371092183236691500814562609866814070443981469204400680, 40279687, 33472924495245004551528702335231745860367937536000, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 5040, 1313901393960, 363007, 122002095511296000, 51091297859137536000, 33913083005557868875636266367683739333469052902398, 1307674368120, 5167], 'label': '33218887680.a.528._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566686
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [8683317618811886495639839501688832000, 371092183236691500814562609866814070443981469204400680, 33913069241804777649291220051704157752566652902398, 5167, 60415263077137588728581477114829977088845414400000000, 8841777504949745285535827383806, 10888869450418352160768000127, 33472924495245004551528702335231745860367937536000, 1313901393960, 1307674368000, 363007, 10904380660461683146752000007, 355687428101040, 25852138383985385472000, 1307674368120, 20397882081197443358640281739903253044228096000, 40279687, 51091297859137536000, 121, 10333147966386144929717742279694909440000, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647], 'label': '33218887680.a.528._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566687
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [60415263063373835637355132068513997507264512000000006, 121645100408837040, 8683317618811886546609137886890828800, 5046, 10341831284015861222725738897441819468800, 39916801, 355687468012800, 367920, 1307674373161, 2287178952453034068187304588953930879254037783171011247, 5041, 51090943479383808000, 33452526613163807108170062053440751665152000000001, 10904406563569364203438080000, 1313901388800, 8231691320552322981363253248000000, 8841761993739701954549843020800, 20397892414353632594328284631807052796299008000, 25903107682370587468800, 20411656176128185399963992107743055807515468800, 10888895302435091045744640000, 121, 1484542690439974585510417022551008993878440833227601961], 'label': '33218887680.a.132._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '132.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566688
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [122002095511301040, 40279687, 33472924495245004551528702335231745860367937536000, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 431507466684034760073971008581711708624549338544849337, 13763753091226345046341831598319787376640000, 121, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 1484542543357565313673692091437531296154408653160710422, 1307674368120, 5167], 'label': '33218887680.a.528._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566689
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [371092183236691500814562609866814070443981469204400680, 40279687, 33472924495245004551528702335231745860367937536000, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 121645100408837040, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 122002095511296000, 51091297859137536000, 1307674368120, 33913069241804777649291220051704157752566652902398, 5167], 'label': '33218887680.a.528._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566690
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [122002095511301040, 371092183236691500814562609866814070443981469204400680, 40279687, 33472924495245004551528702335231745860367937536000, 355687428101040, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 33913083005557868875636266367683739333469052902398, 1307674368120, 5167], 'label': '33218887680.a.528._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566691
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [8683317618811886495639839501688832000, 122002095511301040, 5167, 60415263077137588728581477114829977088845414400000000, 1484509090830952149866583921375477855402743501160710422, 8841777504949745285535827383806, 10888869450418352160768000127, 33472924495245004551528702335231745860367937536000, 1313901393960, 363007, 10904380660461683146752000007, 431507466684034760073971008581711708624905025972945337, 25852138383985385472000, 1307674368120, 20397882081197443358640281739903253044228096000, 40279687, 51091297859137536000, 121, 10333147966386144929717742279694909440000, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647], 'label': '33218887680.a.528._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566692
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [371092183236691500814562609866814070443981469204400680, 40279687, 33472924495245004551528702335231745860367937536000, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 121645100408837040, 33933480887639066318994906649423642230825852902398, 1307674368000, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 1307674368120, 5167], 'label': '33218887680.a.528._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566693
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33472924495245004551528702335231745860367937536000, 33913083005557868875625377498233320981308284902398, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 371092183236691500814562609866814070443625781776304680, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 122002095511296000, 51091297859137536000, 1307674368120, 5167, 355687428096000], 'label': '33218887680.a.528._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566694
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33472924495245004551528702335231745860367937536000, 33913083005557868875625377498233320981308284902398, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 371092183236691500814562609866814070322336368795568680, 20397882081197443358640281739903253044228096000, 60415263077137588728581477114829977088845414400000000, 121645100408832000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 122002095511296000, 51091297859137536000, 1307674368120, 5167], 'label': '33218887680.a.528._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566695
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [8683317618811886495639839501688832000, 371092183236691500814562609866814070322336368795568680, 5167, 60415263077137588728581477114829977088845414400000000, 8841777504949745285535827383806, 10888869450418352160768000127, 33472924495245004551528702335231745860367937536000, 1313901393960, 1307674368000, 363007, 10904380660461683146752000007, 33933467123885975092638971463993642297762684902398, 25852138383985385472000, 1307674368120, 20397882081197443358640281739903253044228096000, 40279687, 51091297859137536000, 121, 10333147966386144929717742279694909440000, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 121645100408832000], 'label': '33218887680.a.528._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566696
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [8683317618811886495639839501688832000, 5167, 60415263077137588728581477114829977088845414400000000, 8841777504949745285535827383806, 10888869450418352160768000127, 33472924495245004551528702335231745860367937536000, 1313901393960, 1307674368000, 363007, 10904380660461683146752000007, 371092183236691500814562609866814070443625781776304680, 355687428096000, 33933467123885975092638971463993642297762684902398, 25852138383985385472000, 1307674368120, 20397882081197443358640281739903253044228096000, 40279687, 51091297859137536000, 121, 10333147966386144929717742279694909440000, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647], 'label': '33218887680.a.528._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566697
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [8683317618811886495639839501688832000, 5167, 60415263077137588728581477114829977088845414400000000, 8841777504949745285535827383806, 10888869450418352160768000127, 33472924495245004551528702335231745860367937536000, 1313901393960, 1307674368000, 363007, 10904380660461683146752000007, 371092183236691500814562609866814070321980681367472680, 122000787836928000, 33913083005557868875625377498233320981308284902398, 25852138383985385472000, 1307674368120, 20397882081197443358640281739903253044228096000, 40279687, 51091297859137536000, 121, 10333147966386144929717742279694909440000, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647], 'label': '33218887680.a.528._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566698
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [60415263063373835637355132068513997507264512000000006, 121645100408837040, 8683317618811886546609137886890828800, 5046, 10341831284015861222725738897441819468800, 39916801, 120, 355687468012800, 367920, 2287178952453034068187304588953930879254037783171011247, 5041, 51090943479383808000, 33452526613163807108170062053440751665152000000001, 10904406563569364203438080000, 1313901388800, 8231691320552322981363253248000000, 8841761993739701954549843020800, 20397892414353632594328284631807052796299008000, 25903107682370587468800, 20411656176128185399963992107743055807515468800, 10888895302435091045744640000, 121, 1484542690439974585510417022551008993878440833227601961], 'label': '33218887680.a.132._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '132.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566699
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33472924495245004551528702335231745860367937536000, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 431507466684034760073971008581711708502904238136017337, 1544957806420939149311047223506045293661673165160710422, 121646408083205040, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 1307674368120, 5167], 'label': '33218887680.a.528._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566700
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [8683317618811886495639839501688832000, 5167, 60415263077137588728581477114829977088845414400000000, 1484509090830952149866583921375477855402743501160710422, 8841777504949745285535827383806, 10888869450418352160768000127, 33472924495245004551528702335231745860367937536000, 1313901393960, 363007, 10904380660461683146752000007, 121646408083205040, 431507466684034760073971008581711708624905025972945337, 25852138383985385472000, 1307674368120, 20397882081197443358640281739903253044228096000, 40279687, 51091297859137536000, 121, 10333147966386144929717742279694909440000, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647], 'label': '33218887680.a.528._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566701
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33472924495245004551528702335231745860367937536000, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 356995102469040, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 431507466684034760073971008581711708624905025972945337, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 1484509090830952149866583921375477855402743501160710422, 1307674368120, 5167], 'label': '33218887680.a.528._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566703
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33472924495245004551528702335231745860367937536000, 1484542543357565313673692091437531296154409960835441302, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 121645100408832000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 431507466684034760073971019470581159042901499272932537, 1307674368120, 5167], 'label': '33218887680.a.528._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566704
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33472924495245004551528702335231745860367937536000, 431507466684034760073971019470581158921612086292196537, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 121645100408832000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 1544924353894325985503939053443991852910009320835441302, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 1307674368120, 5167], 'label': '33218887680.a.528._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566705
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33472924495245004551528702335231745860367937536000, 431507466684034760073971019470581158921612086292196537, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 1544924353894325985503939053443991852910009320835441302, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 1307674368120, 5167, 355687428096000], 'label': '33218887680.a.528._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566706
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33472924495245004551528702335231745860367937536000, 1484542543357565313673692091437531296154409960835441302, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 431507466684034760073971019470581159042901499272932537, 1307674368120, 5167, 355687428096000], 'label': '33218887680.a.528._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566707
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [8683317618811886495639839501688832000, 5167, 60415263077137588728581477114829977088845414400000000, 8841777504949745285535827383806, 10888869450418352160768000127, 33472924495245004551528702335231745860367937536000, 1313901393960, 431507466684034760073971019470581158921256398864100537, 363007, 10904380660461683146752000007, 122000787836928000, 25852138383985385472000, 1307674368120, 20397882081197443358640281739903253044228096000, 40279687, 51091297859137536000, 1484509090830952149866583921375477855402744808835441302, 121, 10333147966386144929717742279694909440000, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647], 'label': '33218887680.a.528._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566708
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33472924495245004551528702335231745860367937536000, 1484542543357565313673692091437531296154409960835441302, 431507466684034760073971019470581158921612086292196537, 10333147966386144929717742279694909440000, 10904380660461683146752000007, 60415263077137588728581477114829977088845414400000000, 20397882081197443358640281739903253044228096000, 25852138383985385472000, 10888869450418352160768000127, 8841777504949745285535827383806, 8683317618811886495639839501688832000, 122000787836928000, 121, 13763753091226345046341831598319787376640000, 8231691320552322981364567189673647, 1313901393960, 363007, 51091297859137536000, 1307674368120, 5167], 'label': '33218887680.a.528._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566709
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [8841761993739701954549843020800, 8231691320552322981363253248000000, 20411656176128185399963992107743055807515468800, 10904406563569364203438080000, 60415263063373835637355132068513997507264512000000006, 25903107682370587468800, 10888895302435091045744640000, 8683317618811886546609137886890828800, 1313901388800, 1484542690439974585510417022550983141861701948250956920, 33452526613163807108170062053440751665152000000001, 355687468012800, 20397892414353632594328284631807052796299008000, 121645100408837040, 51090943479383808000, 2287178952453034068187304588953930879254037783171011247, 1307674368000, 121, 5046, 367920, 120, 10341831284015861222725738897441819468800, 39916801], 'label': '33218887680.a.132._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '132.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566710
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33452540376925581660986586630367106376005225457847, 60448736001643175572648702094559546123984945491292847, 33452540376925581660975697760916688023844417903921, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 10904380660461683146792284847, 8231680416197565627361163182080000, 33452540376925581660975697760865596725985280363001, 33472938269331243744259893580827009481722236928007, 33452540376925581660975697760916687668156989440000, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 33452540376925581660975697760916688023844417536120, 1307674368000, 60415283461266249990987726396798629435961107300414766, 25903107681056686085160, 431507530040067870294767957701439864320816499561034822, 5167, 2534630722951978202877216527336807203451148268744201537, 33452540376925581660975697760916688023844417898880], 'label': '33218887680.a.528._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566711
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [10904380660461683146792284847, 8231680416197565627361163182080000, 122000787836933160, 20411656176119953708643413881776010971516928007, 5167, 33452540376925581660986586630367106376005225457847, 33452540376925581660975697760916688023844417898880, 8683317618811886546609136572989440000, 60415283461266249990987726396798629435961107300414766, 33472938269331243744259893580827009481722236928007, 2534630722951978202877216527336807203451148268744201537, 60448736001643175572648702094559546123984945491292847, 33452540376925581660975697760916688023844417903921, 25903107681056686085160, 10341831284004956816162169531924520284847, 8841761993790792896715325440000, 33452540376925581660975697760916687668156989440000, 40279687, 33452540376925581660975697760865596725985280363001, 60448736001643175572648702094559546123984951718313647, 33452540376925581660975697760916688023844417536120, 431507530040067870294767957701439864320816499561034822], 'label': '33218887680.a.528._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566712
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [10904380660461683146792284847, 8231680416197565627361163182080000, 122000787836933160, 20411656176119953708643413881776010971516928007, 5167, 33452540376925581660986586630367106376005225457847, 33452540376925581660975697760916688023844417898880, 8683317618811886546609136572989440000, 33472938269331243744259893580827009481722236928007, 2534630722951978202877216527336807203451148268744201537, 60448736001643175572648702094559546123984945491292847, 33452540376925581660975697760916688023844417903921, 33452540376925581660975697760916688025152092266881, 25903107681056686085160, 10341831284004956816162169531924520284847, 8841761993790792896715325440000, 33452540376925581660975697760916687668156989440000, 40279687, 33452540376925581660975697760865596725985280363001, 60448736001643175572648702094559546123984951718313647, 33452540376925581660975697760916688023844417536120, 431507530040067870294767957701439864320816499561034822], 'label': '33218887680.a.528._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566713
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33452540376925581660986586630367106376005225457847, 60448736001643175572648702094559546123984945491292847, 33452540376925581660975697760916688023844417903921, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 10904380660461683146792284847, 8231680416197565627361163182080000, 33452540376925581660975697760865596725985280363001, 33472938269331243744259893580827009481722236928007, 33452540376925581660975697760916687668156989440000, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 33452540376925581660975697760916688023844417536120, 1307674368000, 33452540376925581660975697760916688025152092266881, 25903107681056686085160, 431507530040067870294767957701439864320816499561034822, 5167, 2534630722951978202877216527336807203451148268744201537, 33452540376925581660975697760916688023844417898880], 'label': '33218887680.a.528._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566714
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [10904380660461683146792284847, 8231680416197565627361163182080000, 122000787836933160, 20411656176119953708643413881776010971516928007, 33452540376925581660975697760916688025152092267001, 5167, 33452540376925581660986586630367106376005225457847, 33452540376925581660975697760916688023844417898880, 8683317618811886546609136572989440000, 60415283461266249990987726396798629435961107300414766, 33472938269331243744259893580827009481722236928007, 2534630722951978202877216527336807203451148268744201537, 60448736001643175572648702094559546123984945491292847, 33452540376925581660975697760916688023844417903921, 25903107681056686085160, 10341831284004956816162169531924520284847, 8841761993790792896715325440000, 33452540376925581660975697760916687668156989440000, 40279687, 33452540376925581660975697760865596725985280363001, 33452540376925581660975697760916688023844417536120, 431507530040067870294767957701439864320816499561034822], 'label': '33218887680.a.528._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566715
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33452540376925581660986586630367106376005225457847, 60448736001643175572648702094559546123984945491292847, 33452540376925581660975697760916688023844417903921, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 10904380660461683146792284847, 8231680416197565627361163182080000, 33452540376925581660975697760865596725985280363001, 33472938269331243744259893580827009481722236928007, 33452540376925581660975697760916687668156989440000, 60415283461266249990987726396798629435961107300414646, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 33452540376925581660975697760916688023844417536120, 60415283461266249990987726396798629435961107300414766, 25903107681056686085160, 431507530040067870294767957701439864320816499561034822, 5167, 2534630722951978202877216527336807203451148268744201537, 33452540376925581660975697760916688023844417898880], 'label': '33218887680.a.528._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566716
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33452540376925581660986586630367106376005225457847, 60448736001643175572648702094559546123984945491292847, 33452540376925581660975697760916688023844417903921, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 10904380660461683146792284847, 8231680416197565627361163182080000, 33452540376925581660975697760865596725985280363001, 33472938269331243744259893580827009481722236928007, 33452540376925581660975697760916687668156989440000, 60415283461266249990987726396798629435961107300414646, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 33452540376925581660975697760916688023844417536120, 33452540376925581660975697760916688025152092266881, 25903107681056686085160, 431507530040067870294767957701439864320816499561034822, 5167, 2534630722951978202877216527336807203451148268744201537, 33452540376925581660975697760916688023844417898880], 'label': '33218887680.a.528._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566717
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [10904380660461683146792284847, 8231680416197565627361163182080000, 122000787836933160, 20411656176119953708643413881776010971516928007, 33452540376925581660975697760916688025152092267001, 5167, 33452540376925581660986586630367106376005225457847, 33452540376925581660975697760916688023844417898880, 8683317618811886546609136572989440000, 33472938269331243744259893580827009481722236928007, 2534630722951978202877216527336807203451148268744201537, 60448736001643175572648702094559546123984945491292847, 33452540376925581660975697760916688023844417903921, 33452540376925581660975697760916688025152092266881, 25903107681056686085160, 10341831284004956816162169531924520284847, 8841761993790792896715325440000, 33452540376925581660975697760916687668156989440000, 40279687, 33452540376925581660975697760865596725985280363001, 33452540376925581660975697760916688023844417536120, 431507530040067870294767957701439864320816499561034822], 'label': '33218887680.a.528._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566718
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [10904380660461683146792284847, 8231680416197565627361163182080000, 122000787836933160, 20411656176119953708643413881776010971516928007, 33452540376925581660975697760916688025152092267001, 5167, 33452540376925581660986586630367106376005225457847, 60448736001643175572648702094559546123984951718313527, 33452540376925581660975697760916688023844417898880, 8683317618811886546609136572989440000, 33472938269331243744259893580827009481722236928007, 2534630722951978202877216527336807203451148268744201537, 60448736001643175572648702094559546123984945491292847, 33452540376925581660975697760916688023844417903921, 25903107681056686085160, 10341831284004956816162169531924520284847, 8841761993790792896715325440000, 33452540376925581660975697760916687668156989440000, 40279687, 33452540376925581660975697760865596725985280363001, 33452540376925581660975697760916688023844417536120, 431507530040067870294767957701439864320816499561034822], 'label': '33218887680.a.528._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566719
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [60448736001643175572648702094559546123984951718313527, 40279687, 33452540376925581660986586630367106376005225457847, 60448736001643175572648702094559546123984945491292847, 33452540376925581660975697760916688023844417903921, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 10904380660461683146792284847, 8231680416197565627361163182080000, 33452540376925581660975697760865596725985280363001, 33472938269331243744259893580827009481722236928007, 33452540376925581660975697760916687668156989440000, 60415283461266249990987726396798629435961107300414646, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 33452540376925581660975697760916688023844417536120, 25903107681056686085160, 431507530040067870294767957701439864320816499561034822, 5167, 2534630722951978202877216527336807203451148268744201537, 33452540376925581660975697760916688023844417898880], 'label': '33218887680.a.528._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566720
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [8841761993739701954549843020800, 8231691320552322981363253248000000, 20411656176128185399963992107743055807515468800, 10904406563569364203438080000, 60415263063373835637355132068513997507264512000000006, 25903107682370587468800, 10888895302435091045744640000, 8683317618811886546609137886890828800, 1313901388800, 1484542690439974585510417022550983141861701948250956920, 33452526613163807108170062053440751665152000000001, 2226763689389660232549958298647410621448727814747094447, 355687468012800, 20397892414353632594328284631807052796299008000, 121645100408837040, 51090943479383808000, 5041, 121, 5046, 367920, 120, 10341831284015861222725738897441819468800, 39916801], 'label': '33218887680.a.132._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '132.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566721
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33452540376925581660986586630367106376005225457847, 60448736001643175572648702094559546123984945491292847, 33452540376925581660975697760916688023844417903921, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 10904380660461683146792284847, 8231680416197565627361163182080000, 33452540376925581660975697760865596725985280363001, 33472938269331243744259893580827009481722236928007, 33452540376925581660975697760916687668156989440000, 60415283461266249990987726396798629435961107300414646, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 33452540376925581660975697760916688023844417536120, 25903107681056686085160, 431507530040067870294767957701439864320816499561034822, 1307674368120, 5167, 2534630722951978202877216527336807203451148268744201537, 33452540376925581660975697760916688023844417898880], 'label': '33218887680.a.528._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566722
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [10904380660461683146792284847, 8231680416197565627361163182080000, 122000787836933160, 20411656176119953708643413881776010971516928007, 33452540376925581660975697760916688025152092267001, 5167, 33452540376925581660986586630367106376005225457847, 33452540376925581660975697760916688023844417898880, 8683317618811886546609136572989440000, 33472938269331243744259893580827009481722236928007, 2534630722951978202877216527336807203451148268744201537, 60448736001643175572648702094559546123984945491292847, 33452540376925581660975697760916688023844417903921, 25903107681056686085160, 10341831284004956816162169531924520284847, 8841761993790792896715325440000, 1307674368120, 33452540376925581660975697760916687668156989440000, 40279687, 33452540376925581660975697760865596725985280363001, 33452540376925581660975697760916688023844417536120, 431507530040067870294767957701439864320816499561034822], 'label': '33218887680.a.528._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566723
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [60448736001643175572648702094559546123984951718313527, 40279687, 33452540376925581660986586630367106376005225457847, 60448736001643175572648702094559546123984945491292847, 33452540376925581660975697760916688023844417903921, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 10904380660461683146792284847, 8231680416197565627361163182080000, 33452540376925581660975697760865596725985280363001, 33472938269331243744259893580827009481722236928007, 33452540376925581660975697760916687668156989440000, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 33452540376925581660975697760916688023844417536120, 1307674368000, 25903107681056686085160, 431507530040067870294767957701439864320816499561034822, 5167, 2534630722951978202877216527336807203451148268744201537, 33452540376925581660975697760916688023844417898880], 'label': '33218887680.a.528._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566724
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [10904380660461683146792284847, 8231680416197565627361163182080000, 122000787836933160, 20411656176119953708643413881776010971516928007, 5167, 33452540376925581660986586630367106376005225457847, 60448736001643175572648702094559546123984951718313527, 33452540376925581660975697760916688023844417898880, 8683317618811886546609136572989440000, 33472938269331243744259893580827009481722236928007, 2534630722951978202877216527336807203451148268744201537, 60448736001643175572648702094559546123984945491292847, 33452540376925581660975697760916688023844417903921, 25903107681056686085160, 10341831284004956816162169531924520284847, 8841761993790792896715325440000, 33452540376925581660975697760916687668156989440000, 40279687, 33452540376925581660975697760865596725985280363001, 60448736001643175572648702094559546123984951718313647, 33452540376925581660975697760916688023844417536120, 431507530040067870294767957701439864320816499561034822], 'label': '33218887680.a.528._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566725
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [10904380660461683146792284847, 8231680416197565627361163182080000, 122000787836933160, 20411656176119953708643413881776010971516928007, 5167, 33452540376925581660986586630367106376005225457847, 33452540376925581660975697760916688023844417898880, 8683317618811886546609136572989440000, 33472938269331243744259893580827009481722236928007, 2534630722951978202877216527336807203451148268744201537, 60448736001643175572648702094559546123984945491292847, 33452540376925581660975697760916688023844417903921, 25903107681056686085160, 10341831284004956816162169531924520284847, 8841761993790792896715325440000, 1307674368120, 33452540376925581660975697760916687668156989440000, 40279687, 33452540376925581660975697760865596725985280363001, 60448736001643175572648702094559546123984951718313647, 33452540376925581660975697760916688023844417536120, 431507530040067870294767957701439864320816499561034822], 'label': '33218887680.a.528._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566726
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33452540376925581660986586630367106376005225457847, 60448736001643175572648702094559546123984945491292847, 33452540376925581660975697760916688023844417903921, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 10904380660461683146792284847, 8231680416197565627361163182080000, 33452540376925581660975697760865596725985280363001, 33472938269331243744259893580827009481722236928007, 33452540376925581660975697760916687668156989440000, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 33452540376925581660975697760916688023844417536120, 1307674368000, 25903107681056686085160, 431507530040067870294767957701439864320816499561034822, 1307674368120, 5167, 2534630722951978202877216527336807203451148268744201537, 33452540376925581660975697760916688023844417898880], 'label': '33218887680.a.528._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566727
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [10904380660461683146792284847, 8231680416197565627361163182080000, 122000787836933160, 20411656176119953708643413881776010971516928007, 60448736001643175572648702094559546123986259392318766, 5167, 60448736001643175572648702094559546123986259392681526, 8683317618811886546609136572989440000, 60415283461266249990987726396798629435962414974782646, 60448736001643175572648702094559495032688400255145647, 2534630722951978202877216527336807203451148268744201537, 60448715603750752543912496719956643093684176394046641, 60448736001643175572648702094559546123984945491292847, 25903107681056686085160, 10341831284004956816162169531924520284847, 8841761993790792896715325440000, 1307674368120, 60448736001643175572648702094559546123986259392676487, 40279687, 60448736001643175572648691205690095705634098584396801, 60448736001643175572648702094559546123630571964222646, 431507530040067870294767957701439864320816499561034822], 'label': '33218887680.a.528._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566728
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [60448736001643175572648702094559546123986259392681526, 60448736001643175572648702094559546123984951718313527, 40279687, 60448736001643175572648702094559546123984945491292847, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 10904380660461683146792284847, 8231680416197565627361163182080000, 60448736001643175572648691205690095705634098584396801, 60448736001643175572648702094559546123986259392676487, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 60415283461266249990987726396798629435962414974782646, 60448736001643175572648702094559495032688400255145647, 60448736001643175572648702094559546123630571964222646, 60448736001643175572648702094559546123986259392318766, 25903107681056686085160, 431507530040067870294767957701439864320816499561034822, 5167, 60448715603750752543912496719956643093684176394046641, 2534630722951978202877216527336807203451148268744201537], 'label': '33218887680.a.528._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566729
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [60448736001643175572648702094559546123984951718313527, 5160, 40279687, 60448736001643175572648702094559546123984945491292847, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 355687428459001, 10904380660461683146792284847, 10888869450418352160808284846, 8231680416197565627361163182080000, 33452540376925581660975697760916688023844417899001, 20397892423028736205374602903030302082998635006, 362881, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 121, 51091297859137536000, 25903107681056686085160, 431507530040067870294767957701439864320816499561034822, 5167, 2534630722951978202877216527336807203451148268744201537], 'label': '33218887680.a.528._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566730
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [5160, 40279687, 60448736001643175572648702094559546123984945491292847, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 355687428459001, 10904380660461683146792284847, 10888869450418352160808284846, 8231680416197565627361163182080000, 33452540376925581660975697760916688023844417899001, 20397892423028736205374602903030302082998635006, 362881, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 121, 51091297859137536000, 25903107681056686085160, 431507530040067870294767957701439864320816499561034822, 1307674368120, 5167, 2534630722951978202877216527336807203451148268744201537], 'label': '33218887680.a.528._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566731
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [8841761993739701954549843020800, 8231691320552322981363253248000000, 20411656176128185399963992107743055807515468800, 10904406563569364203438080000, 60415263063373835637355132068513997507264512000000006, 25903107682370587468800, 10888895302435091045744640000, 8683317618811886546609137886890828800, 1313901388800, 33452526613163807108170062053440751665152000000001, 1484542690439974585510417022551008993878440833227601961, 2226763689389660232549958298647410621448727814747094447, 355687468012800, 20397892414353632594328284631807052796299008000, 121645100408837040, 51090943479383808000, 1307674368000, 121, 5046, 367920, 120, 10341831284015861222725738897441819468800, 39916801], 'label': '33218887680.a.132._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '132.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566732
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33452540376925581660986586630367106376005225457847, 33452540376925581660975697760916688023844417903921, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 10904380660461683146792284847, 8231680416197565627361163182080000, 33452540376925581660975697760865596725985280363001, 33472938269331243744259893580827009481722236928007, 1313901388800, 33452540376925581660975697760916687668156989440000, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 33452540376925581660975697760916688023844417536120, 371058834834209540796019681887222675273210566953716457, 33452540376925581660975697760916688025152092266881, 60448736001643175572648702094559546123986259392681647, 25903107681056686085160, 5167, 2534630722951978202877216527336807203451148268744201537, 33452540376925581660975697760916688023844417898880], 'label': '33218887680.a.528._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566733
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33452540376925581660986586630367106376005225457847, 33452540376925581660975697760916688023844417903921, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 10904380660461683146792284847, 8231680416197565627361163182080000, 33452540376925581660975697760865596725985280363001, 33472938269331243744259893580827009481722236928007, 1313901388800, 33452540376925581660975697760916687668156989440000, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 33452540376925581660975697760916688023844417536120, 371058834834209540796019681887222675273210566953716457, 60448736001643175572648702094559546123986259392681647, 25903107681056686085160, 1307674368120, 5167, 2534630722951978202877216527336807203451148268744201537, 33452540376925581660975697760916688023844417898880], 'label': '33218887680.a.528._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566734
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [60448736001643175572648702094559546123986259392681526, 40279687, 60448736001643175572648702094559546123984945491292847, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 10904380660461683146792284847, 8231680416197565627361163182080000, 60448736001643175572648691205690095705634098584396801, 60448736001643175572648702094559546123986259392676487, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 60415283461266249990987726396798629435962414974782646, 60448736001643175572648702094559495032688400255145647, 60448736001643175572648702094559546123630571964222646, 60448736001643175572648702094559546123986259392318766, 120, 25903107681056686085160, 431507530040067870294767957701439864320816499561034822, 5167, 60448715603750752543912496719956643093684176394046641, 2534630722951978202877216527336807203451148268744201537], 'label': '33218887680.a.528._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566735
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [60448736001643175572648702094559546123986259392681526, 40279687, 60448736001643175572648702094559546123984945491292847, 60448736001643175572648702094559546123986259392681527, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 10904380660461683146792284847, 8231680416197565627361163182080000, 60448736001643175572648691205690095705634098584396801, 60448736001643175572648702094559546123986259392676487, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 60415283461266249990987726396798629435962414974782646, 60448736001643175572648702094559495032688400255145647, 60448736001643175572648702094559546123630571964222646, 60448736001643175572648702094559546123986259392318766, 25903107681056686085160, 431507530040067870294767957701439864320816499561034822, 5167, 60448715603750752543912496719956643093684176394046641, 2534630722951978202877216527336807203451148268744201537], 'label': '33218887680.a.528._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566736
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [5160, 40279687, 60448736001643175572648702094559546123984945491292847, 60448736001643175572648702094559546123986259392681527, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 355687428459001, 10904380660461683146792284847, 10888869450418352160808284846, 8231680416197565627361163182080000, 33452540376925581660975697760916688023844417899001, 20397892423028736205374602903030302082998635006, 362881, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 121, 51091297859137536000, 25903107681056686085160, 431507530040067870294767957701439864320816499561034822, 5167, 2534630722951978202877216527336807203451148268744201537], 'label': '33218887680.a.528._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566737
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [10904380660461683146792284847, 8231680416197565627361163182080000, 122000787836933160, 20411656176119953708643413881776010971516928007, 5167, 8683317618811886546609136572989440000, 120, 2534630722951978202877216527336807203451148268744201537, 60448736001643175572648702094559546123984945491292847, 5160, 25903107681056686085160, 10341831284004956816162169531924520284847, 8841761993790792896715325440000, 20397892423028736205374602903030302082998635006, 33452540376925581660975697760916688023844417899001, 40279687, 362881, 355687428459001, 51091297859137536000, 121, 10888869450418352160808284846, 431507530040067870294767957701439864320816499561034822], 'label': '33218887680.a.528._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566738
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33452540376925581660986586630367106376005225457847, 33452540376925581660975697760916688023844417903921, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 10904380660461683146792284847, 8231680416197565627361163182080000, 33452540376925581660975697760865596725985280363001, 33472938269331243744259893580827009481722236928007, 1313901388800, 33452540376925581660975697760916687668156989440000, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 33452540376925581660975697760916688023844417536120, 371058834834209540796019681887222675273210566953716457, 33452540376925581660975697760916688023844417898881, 60448736001643175572648702094559546123986259392681647, 25903107681056686085160, 5167, 2534630722951978202877216527336807203451148268744201537, 33452540376925581660975697760916688023844417898880], 'label': '33218887680.a.528._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566739
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33452540376925581660986586630367106376005225457847, 33452540376925581660975697760916688023844417903921, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 10904380660461683146792284847, 8231680416197565627361163182080000, 33452540376925581660975697760865596725985280363001, 33472938269331243744259893580827009481722236928007, 1313901388800, 33452540376925581660975697760916687668156989440000, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 33452540376925581660975697760916688023844417536120, 371058834834209540796019681887222675273210566953716457, 120, 60448736001643175572648702094559546123986259392681647, 25903107681056686085160, 5167, 2534630722951978202877216527336807203451148268744201537, 33452540376925581660975697760916688023844417898880], 'label': '33218887680.a.528._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566740
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [60448736001643175572648702094559546123986259392681526, 40279687, 60448736001643175572648702094559546123984945491292847, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 10904380660461683146792284847, 8231680416197565627361163182080000, 60448736001643175572648691205690095705634098584396801, 60448736001643175572648702094559546123986259392676487, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 60415283461266249990987726396798629435962414974782646, 60448736001643175572648702094559495032688400255145647, 1307674368000, 60448736001643175572648702094559546123630571964222646, 60448736001643175572648702094559546123986259392318766, 25903107681056686085160, 431507530040067870294767957701439864320816499561034822, 5167, 60448715603750752543912496719956643093684176394046641, 2534630722951978202877216527336807203451148268744201537], 'label': '33218887680.a.528._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566741
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [10904380660461683146792284847, 8231680416197565627361163182080000, 122000787836933160, 20411656176119953708643413881776010971516928007, 60448736001643175572648702094559546123986259392318766, 5167, 60448736001643175572648702094559546123986259392681526, 8683317618811886546609136572989440000, 60415283461266249990987726396798629435962414974782646, 60448736001643175572648702094559495032688400255145647, 2534630722951978202877216527336807203451148268744201537, 60448715603750752543912496719956643093684176394046641, 60448736001643175572648702094559546123984945491292847, 25903107681056686085160, 10341831284004956816162169531924520284847, 8841761993790792896715325440000, 60448736001643175572648702094559546123986259392676487, 40279687, 60448736001643175572648691205690095705634098584396801, 60448736001643175572648702094559546123984951718313647, 60448736001643175572648702094559546123630571964222646, 431507530040067870294767957701439864320816499561034822], 'label': '33218887680.a.528._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566742
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [8841761993739701954549843020800, 20411645834288669703686597719484478259200000000, 5160, 40279687, 10904380660461684460653388800, 51090942177936460800, 8231680416171662519681420397388800, 8683326460573880235220148951123383801, 25903107682370587468800, 10888869450418353468442368000, 60448715589997341283978998407961826639508000192681647, 1173728507545847475280288603109254719874606518389857792, 122002101738316800, 33452526613172490434630651444937106442948244919801, 362881, 33514780430046911140725505634840422750174344810823, 355693655116800, 1307674368000, 121, 60448715589986999444463313034974001950294655275008000, 1313941668480, 1307674368120, 5167], 'label': '33218887680.a.22._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566743
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [8841761993739701954549843020800, 8231691320552322981363253248000000, 20411656176128185399963992107743055807515468800, 1484542690439974585510417022550983141861701948250956800, 10904406563569364203438080000, 60415263063373835637355132068513997507264512000000006, 25903107682370587468800, 10888895302435091045744640000, 8683317618811886546609137886890828800, 1313901388800, 33452526613163807108170062053440751665152000000001, 355687468012800, 20397892414353632594328284631807052796299008000, 2226797141916273396357066468709464062200392966747094447, 121645100408837040, 51090943479383808000, 1307674368000, 121, 1307674373041, 5046, 367920, 10341831284015861222725738897441819468800, 39916801], 'label': '33218887680.a.132._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '132.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566744
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [10904380660461683146792284847, 8231680416197565627361163182080000, 122000787836933160, 20411656176119953708643413881776010971516928007, 5167, 8683317618811886546609136572989440000, 2534630722951978202877216527336807203451148268744201537, 60448736001643175572648702094559546123984945491292847, 5160, 25903107681056686085160, 10341831284004956816162169531924520284847, 8841761993790792896715325440000, 20397892423028736205374602903030302082998635006, 33452540376925581660975697760916688023844417899001, 40279687, 362881, 355687428459001, 51091297859137536000, 60448736001643175572648702094559546123984951718313647, 121, 10888869450418352160808284846, 431507530040067870294767957701439864320816499561034822], 'label': '33218887680.a.528._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566745
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [10904380660461683146792284847, 8231680416197565627361163182080000, 122000787836933160, 20411656176119953708643413881776010971516928007, 5167, 8683317618811886546609136572989440000, 1307674368000, 2534630722951978202877216527336807203451148268744201537, 60448736001643175572648702094559546123984945491292847, 5160, 25903107681056686085160, 10341831284004956816162169531924520284847, 8841761993790792896715325440000, 20397892423028736205374602903030302082998635006, 33452540376925581660975697760916688023844417899001, 40279687, 362881, 355687428459001, 51091297859137536000, 121, 10888869450418352160808284846, 431507530040067870294767957701439864320816499561034822], 'label': '33218887680.a.528._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566746
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33452540376925581660986586630367106376005225457847, 33452540376925581660975697760916688023844417903921, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 10904380660461683146792284847, 8231680416197565627361163182080000, 33452540376925581660975697760865596725985280363001, 33472938269331243744259893580827009481722236928007, 1313901388800, 33452540376925581660975697760916687668156989440000, 33452540376925581660975697760916688025152092267001, 10341831284004956816162169531924520284847, 8683317618811886546609136572989440000, 33452540376925581660975697760916688023844417536120, 371058834834209540796019681887222675273210566953716457, 60448736001643175572648702094559546123986259392681647, 25903107681056686085160, 5167, 2534630722951978202877216527336807203451148268744201537, 33452540376925581660975697760916688023844417898880], 'label': '33218887680.a.528._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566747
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [40279687, 33452540376925581660986586630367106376005225457847, 33452540376925581660975697760916688023844417903921, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 10904380660461683146792284847, 8231680416197565627361163182080000, 33452540376925581660975697760865596725985280363001, 33472938269331243744259893580827009481722236928007, 1313901388800, 33452540376925581660975697760916687668156989440000, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 33452540376925581660975697760916688023844417536120, 371058834834209540796019681887222675273210566953716457, 1307674368000, 60448736001643175572648702094559546123986259392681647, 25903107681056686085160, 5167, 2534630722951978202877216527336807203451148268744201537, 33452540376925581660975697760916688023844417898880], 'label': '33218887680.a.528._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566748
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [5160, 40279687, 122000787836933160, 8841761993790792896715325440000, 20411656176119953708643413881776010971516928007, 355687428459001, 10904380660461683146792284847, 10888869450418352160808284846, 8231680416197565627361163182080000, 1313901388800, 33452540376925581660975697760916688023844417899001, 20397892423028736205374602903030302082998635006, 362881, 8683317618811886546609136572989440000, 10341831284004956816162169531924520284847, 371058834834209540796019681887222675273210566953716457, 121, 51091297859137536000, 60448736001643175572648702094559546123986259392681647, 25903107681056686085160, 5167, 2534630722951978202877216527336807203451148268744201537], 'label': '33218887680.a.528._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '528.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '528._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566749
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': '576.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [60415283461255916834798490708795737410161868839916806, 355687428096006, 6266937726, 39916920, 8683317618811886495518194401319916926, 10888869450418353468442373041, 51090942171709440006, 13763753091226355935185430121578163577199921, 10333156189235687977039887415246848367921, 20397882081197443358640281739903253044228096126, 15511210043686673452012806, 8222849543073225252817916299375920, 121646408083567920, 5041, 1668564724776192049865848471576363067852520122192292606, 8841761993739701954543655916800, 367920, 1307674735921, 229720100146678199431608707374373221779726403216, 126, 33452540376916898334525997264722768338407819375921, 25852016740192651375920], 'label': '33218887680.a.576.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566750
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [5160, 8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518194401280000000, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566751
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 355687428459001, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 439098967544374570975055464469650812313682543862, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566752
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 355687428463921, 8683317618811886546609136579216460927, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 439098967544374570975055464469650812313682543862, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566753
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [5160, 8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 439098967544374570975055464469650812313682543862, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566754
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [8841761993739701954549843020800, 8231691320552322981363253248000000, 20411656176128185399963992107743055807515468800, 10904406563569364203438080000, 60415263063373835637355132068513997507264512000000006, 25903107682370587468800, 10888895302435091045744640000, 8683317618811886546609137886890828800, 1313901388800, 1484542690439974585510417022550983141861701948250956920, 33452526613163807108170062053440751665152000000001, 2226763689389660232549958298647410621448727814747094447, 355687468012800, 20397892414353632594328284631807052796299008000, 121645100408837040, 51090943479383808000, 1307674368000, 121, 1307674373041, 5046, 367920, 10341831284015861222725738897441819468800, 39916801], 'label': '33218887680.a.132._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '132.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566755
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 439098967544374570975055464469650456626254810863, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 439098967544374570975055464469650812313682538942, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566756
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [5160, 8683317618811886495518195708994284801, 439098967544374570975055464469650456626254810863, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566757
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 355687428459001, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 439098967544374570975055464469650812313682538942, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 10341831284004956816162169533238421668487, 60415283475019678609351307233372663764517040824377726, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566758
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 5160, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 355687428459001, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566759
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 8683317618811886495518550088708463921, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 439098967544374570975055464469650812313682543862, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566760
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 8683317618811886495518550088708459001, 8683317618811886546609136579216460927, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 439098967544374570975055464469650812313682543862, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566761
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 8683317618811886495518194401280005160, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 439098967544374570975055464469650812313682543862, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566762
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 439098967544374570975055464469650812313682543862, 8683317618811886495518194401280000000, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566763
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 439098967544374570975055464469650456626254810863, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 439098967535691253356243577974132617912402538942, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566764
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 439098967544374570975055464469650456626254810863, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 439098967535691253356243577974132617912402543862, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566765
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [8841761993739701954549843020800, 8231691320552322981363253248000000, 20411656176128185399963992107743055807515468800, 10904406563569364203438080000, 60415263063373835637355132068513997507264512000000006, 25903107682370587468800, 10888895302435091045744640000, 8683317618811886546609137886890828800, 1313901388800, 1484542690439974585510417022550983141861701948250956920, 33452526613163807108170062053440751665152000000001, 355687468012800, 20397892414353632594328284631807052796299008000, 121645100408837040, 51090943479383808000, 2226763689389660232549949456885416881746773271131094447, 121, 1307674373041, 5046, 367920, 120, 10341831284015861222725738897441819468800, 39916801], 'label': '33218887680.a.132._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '132.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566766
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 439098967544374570975055464469650456626254810863, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 8683317618811886495518194401280005160, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566767
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 439098967544374570975055464469650456626254810863, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518194401280000000, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566768
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 355687428459001, 439098967535691253356243577974132617912402538942, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566769
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 355687428459001, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 439098967535691253356243577974132617912402543862, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 10341831284004956816162169533238421668487, 60415283475019678609351307233372663764517040824377726, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566770
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 8683317618811886495518194401280005160, 355687428459001, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 10341831284004956816162169533238421668487, 60415283475019678609351307233372663764517040824377726, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566771
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 355687428459001, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518194401280000000, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566772
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 439098967535691253356243577974132262224974810863, 439098967544374570975055464469650456626254805703, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566773
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 439098967544374570975055464469650456626254805703, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 439098967535691253356243577974132617912402543862, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 10341831284004956816162169533238421668487, 60415283475019678609351307233372663764517040824377726, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566774
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 8683317618811886495518550088708459001, 8683317618811886546609136579216460927, 439098967544374570975055464469650456626254805703, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 10341831284004956816162169533238421668487, 60415283475019678609351307233372663764517040824377726, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566775
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 439098967544374570975055464469650456626254805703, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518194401280000000, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566776
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [8841761993739701954549843020800, 8231691320552322981363253248000000, 20411656176128185399963992107743055807515468800, 10904406563569364203438080000, 60415263063373835637355132068513997507264512000000006, 25903107682370587468800, 10888895302435091045744640000, 8683317618811886546609137886890828800, 1484542690439974585510417022551008993878440833227596920, 1313901388800, 33452526613163807108170062053440751665152000000001, 2226763689389660232549958298647410621448727814747094447, 355687468012800, 20397892414353632594328284631807052796299008000, 121645100408837040, 51090943479383808000, 121, 1307674373041, 5046, 367920, 120, 10341831284015861222725738897441819468800, 39916801], 'label': '33218887680.a.132._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '132.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566777
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 439098967535691253356243577974132262224974810863, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 439098967544374570975055464469650812313682538942, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566778
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 439098967544374570975055464469650812313682538942, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 439098967535691253356243577974132617912402543862, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 10341831284004956816162169533238421668487, 60415283475019678609351307233372663764517040824377726, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566779
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 8683317618811886495518550088708459001, 8683317618811886546609136579216460927, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 439098967544374570975055464469650812313682538942, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 10341831284004956816162169533238421668487, 60415283475019678609351307233372663764517040824377726, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566780
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 439098967544374570975055464469650812313682538942, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518194401280000000, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566781
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 355687428463921, 8683317618811886546609136579216460927, 439098967535691253356243577974132262224974810863, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566782
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 355687428463921, 8683317618811886546609136579216460927, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 439098967535691253356243577974132617912402543862, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 10341831284004956816162169533238421668487, 60415283475019678609351307233372663764517040824377726, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566783
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 355687428463921, 8683317618811886495518550088708459001, 8683317618811886546609136579216460927, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 10341831284004956816162169533238421668487, 60415283475019678609351307233372663764517040824377726, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566784
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 355687428463921, 8683317618811886546609136579216460927, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518194401280000000, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566785
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 5160, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 439098967535691253356243577974132262224974810863, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566786
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 5160, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 439098967535691253356243577974132617912402543862, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566787
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [8841761993739701954549843020800, 8231691320552322981363253248000000, 20411656176128185399963992107743055807515468800, 10904406563569364203438080000, 60415263063373835637355132068513997507264512000000006, 25903107682370587468800, 10888895302435091045744640000, 8683317618811886546609137886890828800, 1313901388800, 1484542690439974585510417022550983141861701948250956920, 33452526613163807108170062053440751665152000000001, 355687468012800, 20397892414353632594328284631807052796299008000, 2226797141916273396357066468709464062200392966747094447, 121645100408837040, 51090943479383808000, 121, 1307674373041, 5046, 367920, 10341831284015861222725738897441819468800, 1307674368120, 39916801], 'label': '33218887680.a.132._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '132.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566788
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 5160, 20397892414345409755674080856972587046995383686, 8683317618811886495518550088708459001, 8683317618811886546609136579216460927, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 1307674368001, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 1979378991438040662631642352620038298799634012799649273, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566789
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 25852017094572404736000, 10341831284015861196822631215071272284840, 51091297859177452806, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 1544957722694392217343163242302746227006227073298478640, 8683326460573880235220148944896000000, 60415974840390142113216418984326547902637095807981953, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 1855567801142871844293622351308945985764365875468982392, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368000, 6266937607, 10888869450418352160768368040, 1307674368006, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 1307674368120, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566790
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 5160, 10341831284015861196822631215071272284840, 51091297859177452806, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 8683326460573880235220148944896000000, 1360732022997560882005190011909680219846826783749033622, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368000, 6266937607, 1484509614729730633926499717488768116811209190396131767, 10888869450418352160768368040, 1307674368006, 60415534695526276542531727599826757904845727544291343, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 1307674368120], 'label': '33218887680.a.660._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566791
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544957722694392217343163253191615677424579227839457840, 25852017094578671673607, 10341831284015861196822631215071272284840, 51091297859177452806, 25852017095880079104120, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368000, 1307674368006, 10888869450418352160768368040, 1855567801142871844293622351308920133869272090901174278, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 60415263063373835637355132068539900736946362750028807, 363000, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566792
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544957722694392217343163253191615677424579227839457840, 25852017094578671673607, 10341831284015861196822631215071272284840, 51091297859177452806, 25852017095880079104120, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368000, 1307674368006, 10888869450418352160768368040, 1855567801142871844293622351308920133869272090901174278, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 60415263063373835637355132068539900736946362750028807, 363000, 209336173272398981893189369626955824595657937422], 'label': '33218887680.a.660._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566793
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544957722694392217343163253191615677424579227839457840, 25852017094578671673607, 25852017095880079104000, 25852017094572404736121, 10341831284015861196822631215071272284840, 25852017095880079104120, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624634139822273343811642759, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368006, 10888869450418352160768368040, 1855567801142871844293622351308920133869272090901174278, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 209336173272398981893189369626955824595657937422, 25903107681056725996806], 'label': '33218887680.a.660._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566794
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544957722694392217343163253191615677424579227839457840, 25852017094578671673607, 25852017095880079104000, 25852017094572404736121, 10341831284015861196822631215071272284840, 25852017095880079104120, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624634139822273343811642759, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368006, 10888869450418352160768368040, 1855567801142871844293622351308920133869272090901174278, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 209336173272398981893189343774939085710681297416, 25903107681056725996806], 'label': '33218887680.a.660._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566795
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544957722694392217343163253191615677424579227839457840, 25852017094578671673607, 25852017095880079104000, 10341831284015861196822631215071272284840, 51091297859177452806, 25852017095880079104120, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624634139822273343811642759, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 1307674368006, 10888869450418352160768368040, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 60415263063373835637355132068539900736946362750028807, 363000, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566796
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544957722694392217343163253191615677424579227839457840, 25852017094578671673607, 25852017095880079104000, 10341831284015861196822631215071272284840, 51091297859177452806, 25852017095880079104120, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624634139822273343811642759, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 1307674368006, 10888869450418352160768368040, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 60415263063373835637355132068539900736946362750028807, 363000, 209336173272398981893189369626955824595657937422], 'label': '33218887680.a.660._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566797
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544957722694392217343163253191615677424579227839457840, 25852017094578671673607, 25852017094572404736121, 10341831284015861196822631215071272284840, 25852017095880079104120, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 1307674368000, 1307674368006, 10888869450418352160768368040, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 209336173272398981893189369626955824595657937422, 25903107681056725996806], 'label': '33218887680.a.660._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566798
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66, 'diagramx': None, 'generators': [8841761993739701954549843020800, 8231691320552322981363253248000000, 20411656176128185399963992107743055807515468800, 1484542690439974585510417022550983141861701948250956800, 10904406563569364203438080000, 60415263063373835637355132068513997507264512000000006, 25903107682370587468800, 10888895302435091045744640000, 8683317618811886546609137886890828800, 1313901388800, 33452526613163807108170062053440751665152000000001, 2226763689389660232549958298647410621448727814747094447, 355687468012800, 20397892414353632594328284631807052796299008000, 121645100408837040, 51090943479383808000, 121, 1307674373041, 5046, 367920, 10341831284015861222725738897441819468800, 1307674368120, 39916801], 'label': '33218887680.a.132._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '132.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566799
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544957722694392217343163253191615677424579227839457840, 25852017094578671673607, 25852017094572404736121, 10341831284015861196822631215071272284840, 25852017095880079104120, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 1307674368000, 1307674368006, 10888869450418352160768368040, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 209336173272398981893189343774939085710681297416, 25903107681056725996806], 'label': '33218887680.a.660._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566800
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544924270167779053536055083129588088689652960816097840, 25852017094578671673607, 25852017095880079104000, 10341831284015861196822631215071272284840, 25852017095880079104120, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 1307674368006, 10888869450418352160768368040, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 209336173272398981893189343774939085710681297416, 25903107681056725996806], 'label': '33218887680.a.660._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566801
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544924270167779053536055083129588088689652960816097840, 25852017094578671673607, 25852017095880079104000, 10341831284015861196822631215071272284840, 25852017095880079104120, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 1307674368006, 10888869450418352160768368040, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 209336173272398981893189369626955824595657937422, 25903107681056725996806], 'label': '33218887680.a.660._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566802
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544924270167779053536055083129588088689652960816097840, 25852017094578671673607, 25852017094572404736121, 10341831284015861196822631215071272284840, 51091297859177452806, 25852017095880079104120, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624634139822273343811642759, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 1307674368000, 10888869450418352160768368040, 1307674368006, 10904380660461683146752005160, 8231680416171662519680106496005160, 60415263063373835637355132068539900736946362750028807, 363000, 209336173272398981893189369626955824595657937422], 'label': '33218887680.a.660._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566803
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544924270167779053536055083129588088689652960816097840, 25852017094578671673607, 25852017094572404736121, 10341831284015861196822631215071272284840, 51091297859177452806, 25852017095880079104120, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624634139822273343811642759, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 1307674368000, 10888869450418352160768368040, 1307674368006, 10904380660461683146752005160, 8231680416171662519680106496005160, 60415263063373835637355132068539900736946362750028807, 363000, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566804
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544924270167779053536055083129588088689652960816097840, 25852017094578671673607, 10341831284015861196822631215071272284840, 25852017095880079104120, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624634139822273343811642759, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368000, 10888869450418352160768368040, 1307674368006, 1855567801142871844293622351308920133869272090901174278, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 209336173272398981893189343774939085710681297416, 25903107681056725996806], 'label': '33218887680.a.660._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566805
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544924270167779053536055083129588088689652960816097840, 25852017094578671673607, 10341831284015861196822631215071272284840, 25852017095880079104120, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624634139822273343811642759, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368000, 1307674368006, 10888869450418352160768368040, 1855567801142871844293622351308920133869272090901174278, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 209336173272398981893189369626955824595657937422, 25903107681056725996806], 'label': '33218887680.a.660._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566806
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544924270167779053536055083129588088689652960816097840, 25852017094578671673607, 25852017095880079104000, 25852017094572404736121, 10341831284015861196822631215071272284840, 51091297859177452806, 25852017095880079104120, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 10888869450418352160768368040, 1307674368006, 1855567801142871844293622351308920133869272090901174278, 10904380660461683146752005160, 8231680416171662519680106496005160, 60415263063373835637355132068539900736946362750028807, 363000, 209336173272398981893189369626955824595657937422], 'label': '33218887680.a.660._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566807
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544924270167779053536055083129588088689652960816097840, 25852017094578671673607, 25852017095880079104000, 25852017094572404736121, 10341831284015861196822631215071272284840, 51091297859177452806, 25852017095880079104120, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 10888869450418352160768368040, 1307674368006, 1855567801142871844293622351308920133869272090901174278, 10904380660461683146752005160, 8231680416171662519680106496005160, 60415263063373835637355132068539900736946362750028807, 363000, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566808
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544924270167779053536055083129588088689652960816097840, 25852017095880079104000, 25852017094572404736121, 10341831284015861196822631215071272284840, 51091297859177452806, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 6266937607, 1307674368006, 10888869450418352160768368040, 1855567801142871844293622351308920133869272090901174278, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 1307674368120, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566809
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 132, 'diagramx': None, 'generators': [8683326460589391496476067202998272006, 60415263063373835637355132068513997507264512000000001, 10888869450418352160768000001, 6227020801, 1237091233414811785551985260957132266186787186806153521, 121645100408832006, 8841761993739701954543616000006, 51090942171709440006, 8222838654177922817725562880000001, 25852016738884976640001, 33452526613163807108170062053440751665152000000006, 1916016642371469064896631032558000903339398010786804359, 10333147966386144929666651337523200000001, 1307674368000, 5041, 15511210043330985984000006, 13763753091226345046315979581580902400000006, 121, 20397882081197443358640281739902897356800000001, 126, 355687428096001, 363000, 1307674368120, 39916801], 'label': '33218887680.a.132._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '132.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566810
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544924270167779053536055083129588088689652960816097840, 25852017095880079104000, 25852017094572404736121, 10341831284015861196822631215071272284840, 51091297859177452806, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 6266937607, 1307674368006, 10888869450418352160768368040, 1855567801142871844293622351308920133869272090901174278, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 1307674368120, 209336173272398981893189369626955824595657937422], 'label': '33218887680.a.660._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566811
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544924270167779053536055083129588088689652960816097840, 10341831284015861196822631215071272284840, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624634139822273343811642759, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368000, 6266937607, 10888869450418352160768368040, 1307674368006, 1855567801142871844293622351308920133869272090901174278, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 60415263063373835637355132068539900736946362750028807, 363000, 1307674368120, 209336173272398981893189369626955824595657937422, 25903107681056725996806], 'label': '33218887680.a.660._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566812
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544924270167779053536055083129588088689652960816097840, 10341831284015861196822631215071272284840, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624634139822273343811642759, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368000, 6266937607, 10888869450418352160768368040, 1307674368006, 1855567801142871844293622351308920133869272090901174278, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 60415263063373835637355132068539900736946362750028807, 363000, 1307674368120, 209336173272398981893189343774939085710681297416, 25903107681056725996806], 'label': '33218887680.a.660._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566813
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544924270167779053536055083129588088689652960816097840, 25852017094572404736121, 10341831284015861196822631215071272284840, 51091297859177452806, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624634139822273343811642759, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 1307674368000, 6266937607, 1307674368006, 10888869450418352160768368040, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 1307674368120, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566814
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544924270167779053536055083129588088689652960816097840, 25852017094572404736121, 10341831284015861196822631215071272284840, 51091297859177452806, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624634139822273343811642759, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 1307674368000, 6266937607, 1307674368006, 10888869450418352160768368040, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 1307674368120, 209336173272398981893189369626955824595657937422], 'label': '33218887680.a.660._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566815
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544924270167779053536055083129588088689652960816097840, 25852017095880079104000, 10341831284015861196822631215071272284840, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 6266937607, 1307674368006, 10888869450418352160768368040, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 60415263063373835637355132068539900736946362750028807, 363000, 1307674368120, 209336173272398981893189369626955824595657937422, 25903107681056725996806], 'label': '33218887680.a.660._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566816
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544924270167779053536055083129588088689652960816097840, 25852017095880079104000, 10341831284015861196822631215071272284840, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 6266937607, 1307674368006, 10888869450418352160768368040, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 60415263063373835637355132068539900736946362750028807, 363000, 1307674368120, 209336173272398981893189343774939085710681297416, 25903107681056725996806], 'label': '33218887680.a.660._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566817
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544957722694392217343163253191615677424579227839457840, 25852017094572404736121, 10341831284015861196822631215071272284840, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 1307674368000, 6266937607, 1307674368006, 10888869450418352160768368040, 10904380660461683146752005160, 8231680416171662519680106496005160, 60415263063373835637355132068539900736946362750028807, 363000, 1307674368120, 209336173272398981893189343774939085710681297416, 25903107681056725996806], 'label': '33218887680.a.660._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566818
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544957722694392217343163253191615677424579227839457840, 25852017094572404736121, 10341831284015861196822631215071272284840, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 1307674368000, 6266937607, 1307674368006, 10888869450418352160768368040, 10904380660461683146752005160, 8231680416171662519680106496005160, 60415263063373835637355132068539900736946362750028807, 363000, 1307674368120, 209336173272398981893189369626955824595657937422, 25903107681056725996806], 'label': '33218887680.a.660._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566819
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544957722694392217343163253191615677424579227839457840, 25852017095880079104000, 10341831284015861196822631215071272284840, 51091297859177452806, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624634139822273343811642759, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 6266937607, 1307674368006, 10888869450418352160768368040, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 1307674368120, 209336173272398981893189369626955824595657937422], 'label': '33218887680.a.660._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566820
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': '144.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [13763753091226345046341831598675474804736001, 8683317629700781797953285447024640001, 33452540376925581652144809151218286531501424640001, 6227020801, 25852017094578671673600, 60415263063373835637355132068513997507264512000000006, 8841761993739702310237271116801, 51090942171709440006, 1484543109154473101084260252668058358061629138008456903, 121645100408837040, 742254451476458066048772768810835730631329756551226856, 10333147966386144929666651337523200005040, 10888869450418707848196096000, 8222838654177922817725562880000006, 362886, 1307674368000, 121, 15511210043332293658368000, 5046, 120, 1307674373040, 355687428096001, 20397882081197443358640281739902897356800000006, 39916801], 'label': '33218887680.a.144.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '144.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566821
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [10341831284015861196822631215071272284840, 1544957722694392217343163253191615677424579227839457840, 20397892414353632594328258779790312603687921840, 10904380660461683146752005160, 122000787836928007, 209336173272398981893189343774939085710681297416, 60415263063373835637355132068514048719851790345292807, 8683326460573880235220148944896000000, 5160, 1307674368006, 33452526613163807108170062053440751666459674368000, 8231680416171662519680106496005160, 20411656176128185399963966204635373436968284840, 40284840, 25852017095880079104000, 363000, 355687428096006, 1307674368120, 8841761993739701954543616000120, 51091297859177452806, 1855567801142871844293622351308945985886010975877814272, 121, 6266937607, 60415995238272223310659777624634139822273343811642759, 10888869450418352160768368040], 'label': '33218887680.a.660._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566822
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544957722694392217343163253191615677424579227839457840, 25852017095880079104000, 25852017094572404736121, 10341831284015861196822631215071272284840, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624634139822273343811642759, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 6266937607, 1307674368006, 10888869450418352160768368040, 1855567801142871844293622351308920133869272090901174278, 10904380660461683146752005160, 8231680416171662519680106496005160, 60415263063373835637355132068539900736946362750028807, 363000, 1307674368120, 209336173272398981893189343774939085710681297416, 25903107681056725996806], 'label': '33218887680.a.660._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566823
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544957722694392217343163253191615677424579227839457840, 25852017095880079104000, 25852017094572404736121, 10341831284015861196822631215071272284840, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624634139822273343811642759, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 6266937607, 1307674368006, 10888869450418352160768368040, 1855567801142871844293622351308920133869272090901174278, 10904380660461683146752005160, 8231680416171662519680106496005160, 60415263063373835637355132068539900736946362750028807, 363000, 1307674368120, 209336173272398981893189369626955824595657937422, 25903107681056725996806], 'label': '33218887680.a.660._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566824
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544957722694392217343163253191615677424579227839457840, 10341831284015861196822631215071272284840, 51091297859177452806, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368000, 6266937607, 1307674368006, 10888869450418352160768368040, 1855567801142871844293622351308920133869272090901174278, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 1307674368120, 209336173272398981893189369626955824595657937422], 'label': '33218887680.a.660._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566825
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1544957722694392217343163253191615677424579227839457840, 10341831284015861196822631215071272284840, 51091297859177452806, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368000, 6266937607, 1307674368006, 10888869450418352160768368040, 1855567801142871844293622351308920133869272090901174278, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 1307674368120, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566826
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 1313941305727, 5160, 1544957722694392217343163253191615677424579227839457840, 10341831284015861196822631215071272284840, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 60415974840390142113216418984326547902992789463098753, 40284840, 8841761993739701954543616000120, 1307674368001, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 51091299166851820926, 1307674368006, 10888869450418352160768368040, 10904380660461683146752005160, 8231680416171662519680106496005160, 120, 363000, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566827
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 1313941305727, 5160, 1544957722694392217343163253191615677424579227839457840, 209336173272398981893204854984982418004339665416, 10341831284015861196822631215071272284840, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 8683326460573880235220148944896000000, 60415974840390142113216418984326547902992789463098753, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 1307674368001, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 51091299166851820926, 1307674368006, 10888869450418352160768368040, 10904380660461683146752005160, 8231680416171662519680106496005160, 120, 363000], 'label': '33218887680.a.660._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566828
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 1313941305727, 5160, 1544957722694392217343163253191615677424579227839457840, 209336173272398981893204854984982418004339665416, 10341831284015861196822631215071272284840, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 1307674368001, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368000, 51091299166851820926, 1307674368006, 10888869450418352160768368040, 10904380660461683146752005160, 1855601253669485008100730521370999426637676127877814392, 8231680416171662519680106496005160, 363000], 'label': '33218887680.a.660._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566829
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 1313941305727, 5160, 1544957722694392217343163253191615677424579227839457840, 10341831284015861196822631215071272284840, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 1307674368001, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368000, 51091299166851820926, 1307674368006, 10888869450418352160768368040, 10904380660461683146752005160, 1855601253669485008100730521370999426637676127877814392, 8231680416171662519680106496005160, 363000, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566830
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 1313941305727, 5160, 10341831284015861196822631215071272284840, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 51091299166851820926, 10888869450418352160768368040, 1307674368006, 1544957722694392217343163242302746227006227067071457846, 121, 10904380660461683146752005160, 1855601253669485008100730521370999426637676127877814392, 8231680416171662519680106496005160, 120, 363000, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566831
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': '165.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': 165, 'diagramx': None, 'generators': [5160, 40279687, 51091297859137899000, 742254535230500905470347581247262691070310651082368007, 355687428459001, 60448715589986999452694982546739100900611872274596487, 1313941673647, 25903107681056726364847, 122002101778601640, 8231680416171662641680894332928000, 1979379200759992508484536848002099059371112427423921337, 10888895302435446733172736001, 33452526613163807108170062053491842963017364556921, 20397882081197443358640307643010578419713100921, 8841761993739702310237271116920, 1307674368000, 742254535216481856534210783283596463624576195439676118, 1979345349916858968377862338288468382262148983576874280, 121, 8683326460589391496354777796244919800, 10904380660583683934588933167, 20411645834296901384102795285233840210219008000, 2226763458580640195291804121167207813236768311711190336, 363000, 1307674368120, 10341831284004956816162291534026258596480, 5167], 'label': '33218887680.a.165.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '165.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '165.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566832
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 1313941305727, 25852017094572404736000, 209336173272398981893204854984982418004339665416, 10341831284015861196822631215071272284840, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 51091299166851820926, 10888869450418352160768368040, 1307674368006, 1544957722694392217343163242302746227006227067071457846, 121, 10904380660461683146752005160, 1855601253669485008100730521370999426637676127877814392, 8231680416171662519680106496005160, 120, 363000], 'label': '33218887680.a.660._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566833
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 1313941305727, 5160, 209336173272398981893204854984982418004339665416, 10341831284015861196822631215071272284840, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 60415974840390142113216418984326547902992789463098753, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 1307674368000, 51091299166851820926, 1307674368006, 10888869450418352160768368040, 1544957722694392217343163242302746227006227067071457846, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000], 'label': '33218887680.a.660._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566834
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 1313941305727, 5160, 10341831284015861196822631215071272284840, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 60415974840390142113216418984326547902992789463098753, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 1307674368000, 51091299166851820926, 1307674368006, 10888869450418352160768368040, 1544957722694392217343163242302746227006227067071457846, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566835
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 1313941305727, 5160, 10341831284015861196822631215071272284840, 51091297859177452806, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 1307674368001, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 1307674368006, 10888869450418352160768368040, 60415263063373835637355132068514048719853098019660927, 1544957722694392217343163242302746227006227067071457846, 10904380660461683146752005160, 8231680416171662519680106496005160, 120, 363000, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566836
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 1313941305727, 5160, 209336173272398981893204854984982418004339665416, 10341831284015861196822631215071272284840, 51091297859177452806, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 1307674368001, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 1307674368006, 10888869450418352160768368040, 60415263063373835637355132068514048719853098019660927, 1544957722694392217343163242302746227006227067071457846, 10904380660461683146752005160, 8231680416171662519680106496005160, 120, 363000], 'label': '33218887680.a.660._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566837
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 1313941305727, 5160, 209336173272398981893204854984982418004339665416, 10341831284015861196822631215071272284840, 51091297859177452806, 20397892414353632594328258779790312603687921840, 8683326460573880235220148944896000000, 60415974840390142113216418984326547902992789463098753, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 1307674368001, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368000, 10888869450418352160768368040, 1307674368006, 60415263063373835637355132068514048719853098019660927, 1544957722694392217343163242302746227006227067071457846, 10904380660461683146752005160, 1855601253669485008100730521370999426637676127877814392, 8231680416171662519680106496005160, 363000], 'label': '33218887680.a.660._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566838
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 1313941305727, 5160, 10341831284015861196822631215071272284840, 51091297859177452806, 20397892414353632594328258779790312603687921840, 8683326460573880235220148944896000000, 60415974840390142113216418984326547902992789463098753, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 1307674368001, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368000, 10888869450418352160768368040, 1307674368006, 60415263063373835637355132068514048719853098019660927, 1544957722694392217343163242302746227006227067071457846, 10904380660461683146752005160, 1855601253669485008100730521370999426637676127877814392, 8231680416171662519680106496005160, 363000, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566839
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 1313941305727, 5160, 1544957722694392217343163253191615677424579227839457840, 10341831284015861196822631215071272284840, 51091297859177452806, 20397892414353632594328258779790312603687921840, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 60415974840390142113216418984326547902992789463098753, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368006, 10888869450418352160768368040, 60415263063373835637355132068514048719853098019660927, 121, 10904380660461683146752005160, 1855601253669485008100730521370999426637676127877814392, 8231680416171662519680106496005160, 120, 363000, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566840
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 1313941305727, 5160, 1544957722694392217343163253191615677424579227839457840, 209336173272398981893204854984982418004339665416, 10341831284015861196822631215071272284840, 51091297859177452806, 20397892414353632594328258779790312603687921840, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 60415974840390142113216418984326547902992789463098753, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368006, 10888869450418352160768368040, 60415263063373835637355132068514048719853098019660927, 121, 10904380660461683146752005160, 1855601253669485008100730521370999426637676127877814392, 8231680416171662519680106496005160, 120, 363000], 'label': '33218887680.a.660._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566841
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 1313941305727, 5160, 1544957722694392217343163253191615677424579227839457840, 209336173272398981893204854984982418004339665416, 10341831284015861196822631215071272284840, 51091297859177452806, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 1307674368000, 1307674368006, 10888869450418352160768368040, 60415263063373835637355132068514048719853098019660927, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000], 'label': '33218887680.a.660._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566842
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': '176.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': 11, 'diagramx': None, 'generators': [8683326460589391496354777796244919800, 122000787836933160, 10904380660461683146752005160, 10888869450418352160768005040, 10341839515696277394388380577022291287680, 1313901393960, 20397892423036959044013269564714110175653212720, 1484509090830803253708835361257519213605436074706070400, 5160, 25903107681056686085160, 8231680416171662519680106496005160, 40284840, 60448715589997341283978998407961826639506686291292840, 51090942171709440120, 363000, 33472924495253696091986183910860246402038737003000, 2410819197696492324430142167384492880095574788549372920, 1307674368120, 8841761993739701954543616000120, 355687428096120, 60448736001643175572648702094559546123986259392681640], 'label': '33218887680.a.176.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '176.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566843
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 1313941305727, 5160, 1544957722694392217343163253191615677424579227839457840, 10341831284015861196822631215071272284840, 51091297859177452806, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 1307674368000, 1307674368006, 10888869450418352160768368040, 60415263063373835637355132068514048719853098019660927, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566844
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 5160, 1544957722694392217343163253191615677424579227839457840, 10341831284015861196822631215071272284840, 60415263063373835637355132068513997629265306103865601, 20397892414353632594328258779790312603687921840, 732174898387673304645556094239328971561633005952, 8683326460573880235220148944896000000, 60415263063373835637355132068514048719853098019660807, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 6266937607, 10888869450418352160768368040, 1307674368006, 60415263063373835637355132068514048719851790345292926, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 1307674368120, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566845
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 25852017094572404736000, 1544957722694392217343163253191615677424579227839457840, 60415472399547108036337025257857721477408845035806217, 10341831284015861196822631215071272284840, 60415263063373835637355132068513997629265306103865601, 20397892414353632594328258779790312603687921840, 732174898387673304645556094239328971561633005952, 8683326460573880235220148944896000000, 60415263063373835637355132068514048719853098019660807, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 6266937607, 10888869450418352160768368040, 1307674368006, 60415263063373835637355132068514048719851790345292926, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 1307674368120], 'label': '33218887680.a.660._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566846
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 5160, 1544957722694392217343163253191615677424579227839457840, 60415472399547108036337025257857721477408845035806217, 10341831284015861196822631215071272284840, 1915983064206245679930977483377460034362928252833539073, 60415263063373835637355132068513997629265306103865601, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368000, 6266937607, 1307674368006, 10888869450418352160768368040, 60415263063373835637355132068514048719851790345292926, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 1307674368120], 'label': '33218887680.a.660._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566847
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 5160, 1544957722694392217343163253191615677424579227839457840, 10341831284015861196822631215071272284840, 1915983064206245679930977483377460034362928252833539073, 60415263063373835637355132068513997629265306103865601, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368000, 6266937607, 1307674368006, 10888869450418352160768368040, 60415263063373835637355132068514048719851790345292926, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 1307674368120, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566848
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 25852017094572404736000, 1484542459631018381705808121123101628948016343091502641, 10341831284015861196822631215071272284840, 1915983064206245679930977483377460034362928252833539073, 60415263063373835637355132068513997629265306103865601, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 60415263063373835637355132068514048719853098019660807, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 6266937607, 10888869450418352160768368040, 1307674368006, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 1307674368120, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566849
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 25852017094572404736000, 1484542459631018381705808121123101628948016343091502641, 60415472399547108036337025257857721477408845035806217, 10341831284015861196822631215071272284840, 1915983064206245679930977483377460034362928252833539073, 60415263063373835637355132068513997629265306103865601, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 60415263063373835637355132068514048719853098019660807, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 6266937607, 10888869450418352160768368040, 1307674368006, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 1307674368120], 'label': '33218887680.a.660._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566850
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 25852017094572404736000, 1484542459631018381705808121123101628948016343091502641, 60415472399547108036337025257857721477408845035806217, 10341831284015861196822631215071272284840, 60415263063373835637355132068513997629265306103865601, 20397892414353632594328258779790312603687921840, 732174898387673304645556094239328971561633005952, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 1307674368000, 6266937607, 10888869450418352160768368040, 1307674368006, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 1307674368120], 'label': '33218887680.a.660._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566851
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 5160, 25852017094572404736000, 1484542459631018381705808121123101628948016343091502641, 10341831284015861196822631215071272284840, 60415263063373835637355132068513997629265306103865601, 20397892414353632594328258779790312603687921840, 732174898387673304645556094239328971561633005952, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 1307674368000, 6266937607, 10888869450418352160768368040, 1307674368006, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 1307674368120, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566852
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 5160, 209336173272398981893189343774939087018355665416, 1544957722694392217343163253191615677424579227839457840, 10341831284015861196822631215071272284840, 51091297859177452806, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 1855601253669485008100730521370999426637676127877814272, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 6266937607, 1307674368006, 10888869450418352160768368040, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 60415995238272223310659777624608287805890146263098753, 363000, 1307674368120], 'label': '33218887680.a.660._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566853
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [8841761993739701954549843020800, 20411645834288669703686597719484478259200000000, 5160, 40279687, 10904380660461684460653388800, 51090942177936460800, 8231680416171662519681420397388800, 8683326460573880235220148951123383801, 25903107682370587468800, 10888869450418353468442368000, 60448715589997341283978998407961826639508000192681647, 1173728507545847475280288603109254719874606518389857792, 122002101738316800, 33514766666293819914380459318860841169271944810823, 33452526613172490434630651444937106442948244919801, 362881, 355693655116800, 1307674368000, 121, 60448715589986999444463313034974001950294655275008000, 1313941668480, 1307674368120, 5167], 'label': '33218887680.a.22._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566854
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566855
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 5160, 1544957722694392217343163253191615677424579227839457840, 10341831284015861196822631215071272284840, 51091297859177452806, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 1855601253669485008100730521370999426637676127877814272, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 122000787836928007, 6266937607, 1307674368006, 10888869450418352160768368040, 121, 10904380660461683146752005160, 8231680416171662519680106496005160, 60415995238272223310659777624608287805890146263098753, 363000, 1307674368120, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566856
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 5160, 209336173272398981893189343774939087018355665416, 1544957722694392217343163253191615677424579227839457846, 10341831284015861196822631215071272284840, 51091297859177452806, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 6266937607, 1307674368006, 10888869450418352160768368040, 10904380660461683146752005160, 8231680416171662519680106496005160, 1307674368121, 363000, 1307674368120], 'label': '33218887680.a.660._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566857
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 5160, 1544957722694392217343163253191615677424579227839457846, 10341831284015861196822631215071272284840, 51091297859177452806, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 60415995238272223310659777624608287805534458835002753, 8683326460573880235220148944896000000, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 33452526613163807108170062053440751666459674368000, 1855567801142871844293622351308945985886010975877814272, 122000787836928007, 6266937607, 1307674368006, 10888869450418352160768368040, 10904380660461683146752005160, 8231680416171662519680106496005160, 1307674368121, 363000, 1307674368120, 209336173272398981893189343774939085710681297416], 'label': '33218887680.a.660._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566858
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [355687428096006, 25852017094572404736000, 5160, 10341831284015861196822631215071272284840, 209336173272398981893204854985104061797074129416, 51091297859177452806, 60415263063373835637355132068514048719851790345292807, 20397892414353632594328258779790312603687921840, 1544957722694392217343163242302746227006227073298478640, 8683326460573880235220148944896000000, 60415974840390142113216418984326547902637095807981953, 20411656176128185399963966204635373436968284840, 40284840, 8841761993739701954543616000120, 1855567801142871844293622351308945985764365875468982392, 33452526613163807108170062053440751666459674368000, 122000787836928007, 1307674368000, 6266937607, 10888869450418352160768368040, 1307674368006, 10904380660461683146752005160, 8231680416171662519680106496005160, 363000, 1307674368120], 'label': '33218887680.a.660._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566859
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 660, 'diagramx': None, 'generators': [5160, 8683317618811886495518195708994284801, 20397892414345409755674080856972587046995383686, 8683317618811886546609136579216460927, 355687428459001, 1313901388807, 20411656176119953708643439784883692034430033961, 10888869450418709162097484807, 25903107681056726364847, 1792376166235058260853577008030736847642441179434908776, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 1307674368001, 439098967544374570975055464469650812313682543862, 8683317618811886495518194401280000000, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120], 'label': '33218887680.a.660._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566860
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 660, 'diagramx': None, 'generators': [8683317618811886495518195708994284801, 5160, 8683317618811886546609136579216460927, 1313901388807, 20411656176119953708643439784883692034430033961, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 678892248403737475076955620122752177611924638355731183, 439098977877530760188965676756563139253609434742, 1307674368001, 8683317618811886495518194401280000000, 8683317618811886495518195708954730886, 1979345559309319913169943927343196264601848053371185353, 8683326460573880286311091116645356800, 926310398895862200260032515777792064863054407262475462, 8683317618811886495518195708954368000, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120, 20397892414345409755674080856972942734423116927], 'label': '33218887680.a.660._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566861
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 660, 'diagramx': None, 'generators': [5160, 8683317618811886495518195708994284801, 926310398882108780316772556860894541889480048305859136, 8683317618811886546609136579216460927, 1313901388807, 20411656176119953708643439784883692034430033961, 25903107681056726364847, 2350437429058180066616609137088048952877085304268099336, 122000794063948806, 60448715589997341283978987503581166055824065603753647, 33452526623496963297394861186882237467129284028726, 439098977877530760188965676756563139253609434742, 1307674368001, 678925700916586885792846286900483327271376159453454143, 8683317618811886495518194401280000000, 8683317618811886495518195708954730886, 8683326460573880286311091116645356800, 8683317618811886495518195708954368000, 1979378991438040662631642352620038298799634012799649273, 60415283475019678609351307233372663764517040824377726, 10341831284004956816162169533238421668487, 8231680416197565627362477083468807, 5167, 8683317618811886495518194401280000120, 20397892414345409755674080856972942734423116927], 'label': '33218887680.a.660._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566862
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': '704.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': 704, 'diagramx': None, 'generators': [8683326460589391496354423416490828800, 33452526613163807108170062053440751665152000000000, 5167, 8231680416197565749361951019013160, 10341839515685373013727918893875499013167, 122000787836928007, 20411656176128185399963992107865056595392681647, 60449196544452928751583421543995632933361908459896326, 8841761993739701955851290731000, 5160, 20397892414353632594328284631928697896747761846, 8683326471478260946772774269624377601, 25903107681056686080007, 40279687, 8683326460589391445263835624535116801, 60415891086347285231829452801291258619665891073646057, 10904380660461683146792279680, 60415263063373835637355132068513997507264512000000000, 1313941668480], 'label': '33218887680.a.704.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '704.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '704.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566863
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': '720.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': 144, 'diagramx': None, 'generators': [20397882081197452200402275479605207587844458880, 8683317618827423557578264272240640120, 13763753091226345046341831598319787416556801, 355687428101040, 33472924495245004551528702335231745860367937898886, 1237124769668014430584840137285225263110829898712566456, 39916920, 6227025840, 10333147966397033799117070045371396458880, 60415263063373835637355132068513997507265819674368121, 1, 121645100408832120, 1307674368001, 51091297865364561840, 25852016740192651008000, 121, 5040, 10888869501509294338704823680, 33472924495245004551528702335180654918196228101040, 367920, 8852650863241211248876093802880, 8222838654177922817725562880000120, 15511210043332293658368121], 'label': '33218887680.a.720.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '720.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '720.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566864
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [355687428458880, 40279687, 10904380660461684460653388800, 1313901388801, 8231680416197565749361951059292847, 10341831284004956816162169533238381388800, 10888869450418353468442368000, 555285288192613578991833279701943848209648577243228742, 51090942171709440001, 8683317629700755945936546562048000000, 1915982938624359609609654434936451264723371566992456361, 20397882081197443369529151190321249517568000000, 122000787836928007, 1307674368000, 5041, 121, 20411645834288669703686597719484479573101388800, 8841761993790793252402753899006, 363000, 1307674368120, 60415283461255925518124962171545474139960839828919806, 5167, 33472924495253687878000165084917384362781276267006, 25903229681844523013167], 'label': '33218887680.a.792._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566865
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998694095819623845903407506149639324609987136, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566866
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [8231680416197565749361951059292847, 1855567926767611930125368513627393395566240059387702383, 33472924495253687878000165084917384361473601899006, 8841761993790793252402753899006, 5167, 8683317629700755945936546562048000000, 271618601434375240695224758245865188427212595216, 122000787836928007, 20411645834288669703686597719484479573101388800, 33472924495253687878000165084917384361479828919807, 20397882081197443369529151190321249517568000000, 10341831284004956816162169533238381388800, 60448861569861523819287818221574150067796921173847681, 10888869450418353468442368000, 10904380660461684460653388800, 5041, 363000, 33472924495253687878000165084917384361473601898886, 40279687, 51090942171709440001, 25903229681844523013167, 355687428458880, 121, 60448715589986999444463302130567438258930977901388800], 'label': '33218887680.a.792._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566867
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [8231680416197565749361951059292847, 1855567926767611930125368513627393395566240059387702383, 33472924495253687878000165084917384361473601899006, 8841761993790793252402753899006, 5167, 8683317629700755945936546562048000000, 122000787836928007, 20411645834288669703686597719484479573101388800, 33472924495253687878000165084917384361479828919807, 20397882081197443369529151190321249517568000000, 10341831284004956816162169533238381388800, 60448861569861523819287818221574150067796921173847681, 10888869450418353468442368000, 10904380660461684460653388800, 5041, 33703747332508301579035183780209984869940181536137, 363000, 33472924495253687878000165084917384361473601898886, 40279687, 51090942171709440001, 25903229681844523013167, 355687428458880, 121, 60448715589986999444463302130567438258930977901388800], 'label': '33218887680.a.792._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566868
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [8231680416197565749361951059292847, 1855567926767611930125368513627393395566240059387702383, 33472924495253687878000165084917384361473601899006, 8841761993790793252402753899006, 5167, 8683317629700755945936546562048000000, 122000787836928007, 20411645834288669703686597719484479573101388800, 1313901388801, 20397882081197443369529151190321249517568000000, 10341831284004956816162169533238381388800, 10888869450418353468442368000, 10904380660461684460653388800, 5041, 33703747332508301579035183780209984869940181536137, 363000, 33472924495253687878000165084917384361473601898886, 60415388645366270131427523358215612924047548665580927, 40279687, 51090942171709440001, 25903229681844523013167, 355687428458880, 121, 60448715589986999444463302130567438258930977901388800], 'label': '33218887680.a.792._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566869
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [8231680416197565749361951059292847, 1855567926767611930125368513627393395566240059387702383, 33472924495253687878000165084917384361473601899006, 8841761993790793252402753899006, 5167, 8683317629700755945936546562048000000, 271618601434375240695224758245865188427212595216, 122000787836928007, 20411645834288669703686597719484479573101388800, 1313901388801, 20397882081197443369529151190321249517568000000, 10341831284004956816162169533238381388800, 10888869450418353468442368000, 10904380660461684460653388800, 5041, 363000, 33472924495253687878000165084917384361473601898886, 60415388645366270131427523358215612924047548665580927, 40279687, 51090942171709440001, 25903229681844523013167, 355687428458880, 121, 60448715589986999444463302130567438258930977901388800], 'label': '33218887680.a.792._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566870
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [8231680416197565749361951059292847, 33472924495253687878000165084917384361473601899006, 8841761993790793252402753899006, 5167, 8683317629700755945936546562048000000, 271618601434375240695224758245865188427212595216, 122000787836928007, 20411645834288669703686597719484479573101388800, 33472924495253687878000165084917384361479828919807, 20397882081197443369529151190321249517568000000, 10341831284004956816162169533238381388800, 10888869450418353468442368000, 10904380660461684460653388800, 5041, 363000, 1307674368120, 60415388645366270131427523358215612924047548665580927, 40279687, 51090942171709440001, 25903229681844523013167, 1855601399692107166438379595752559460441617442507169142, 355687428458880, 121, 60448715589986999444463302130567438258930977901388800], 'label': '33218887680.a.792._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566871
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [8231680416197565749361951059292847, 33472924495253687878000165084917384361473601899006, 8841761993790793252402753899006, 5167, 8683317629700755945936546562048000000, 122000787836928007, 20411645834288669703686597719484479573101388800, 33472924495253687878000165084917384361479828919807, 20397882081197443369529151190321249517568000000, 10341831284004956816162169533238381388800, 10888869450418353468442368000, 10904380660461684460653388800, 5041, 33703747332508301579035183780209984869940181536137, 363000, 1307674368120, 60415388645366270131427523358215612924047548665580927, 40279687, 51090942171709440001, 25903229681844523013167, 1855601399692107166438379595752559460441617442507169142, 355687428458880, 121, 60448715589986999444463302130567438258930977901388800], 'label': '33218887680.a.792._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566872
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [8231680416197565749361951059292847, 33472924495253687878000165084917384361473601899006, 8841761993790793252402753899006, 5167, 8683317629700755945936546562048000000, 122000787836928007, 20411645834288669703686597719484479573101388800, 1313901388801, 20397882081197443369529151190321249517568000000, 10341831284004956816162169533238381388800, 60448861569861523819287818221574150067796921173847681, 10888869450418353468442368000, 10904380660461684460653388800, 5041, 33703747332508301579035183780209984869940181536137, 363000, 1307674368120, 40279687, 51090942171709440001, 25903229681844523013167, 1855601399692107166438379595752559460441617442507169142, 355687428458880, 121, 60448715589986999444463302130567438258930977901388800], 'label': '33218887680.a.792._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566873
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [8231680416197565749361951059292847, 33472924495253687878000165084917384361473601899006, 8841761993790793252402753899006, 5167, 8683317629700755945936546562048000000, 271618601434375240695224758245865188427212595216, 122000787836928007, 20411645834288669703686597719484479573101388800, 1313901388801, 20397882081197443369529151190321249517568000000, 10341831284004956816162169533238381388800, 60448861569861523819287818221574150067796921173847681, 10888869450418353468442368000, 10904380660461684460653388800, 5041, 363000, 1307674368120, 40279687, 51090942171709440001, 25903229681844523013167, 1855601399692107166438379595752559460441617442507169142, 355687428458880, 121, 60448715589986999444463302130567438258930977901388800], 'label': '33218887680.a.792._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566874
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [33472924495253687869158403091126591110378522368000, 8231680416197565749361951059292847, 33472924495253687878000165084917384362781275904006, 5167, 8683317629700755945936546562048000000, 271618601434375240695224758245865188427212595216, 122000787836928007, 20411645834288669703686597719484479573101388800, 1307674368000, 33472924495253687878000165084917384361479828919807, 20397882081197443369529151190321249517568000000, 10341831284004956816162169533238381388800, 60448861569861523819287818221574150067796921173847681, 10888869450418353468442368000, 10904380660461684460653388800, 5041, 33472924495253687878000165084917384361473601898886, 40279687, 51090942171709440001, 25903229681844523013167, 1855601399692107166438379595752559460441617442507169142, 121, 33472924495253687878000165084917384007093847808126, 60448715589986999444463302130567438258930977901388800], 'label': '33218887680.a.792._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566875
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [33472924495253687869158403091126591110378522368000, 8231680416197565749361951059292847, 33472924495253687878000165084917384362781275904006, 5167, 8683317629700755945936546562048000000, 122000787836928007, 20411645834288669703686597719484479573101388800, 1307674368000, 33472924495253687878000165084917384361479828919807, 20397882081197443369529151190321249517568000000, 10341831284004956816162169533238381388800, 60448861569861523819287818221574150067796921173847681, 10888869450418353468442368000, 10904380660461684460653388800, 5041, 33703747332508301579035183780209984869940181536137, 33472924495253687878000165084917384361473601898886, 40279687, 51090942171709440001, 25903229681844523013167, 1855601399692107166438379595752559460441617442507169142, 121, 33472924495253687878000165084917384007093847808126, 60448715589986999444463302130567438258930977901388800], 'label': '33218887680.a.792._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566876
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 148913609346863496802887901786867949147376, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998694095819623845903407506149639324609987136, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566900
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1024, 'diagramx': None, 'generators': [122002101778601640, 1313941673647, 60448715589986999452694982546739100900611872274596487, 5167, 20411645834296901384102795285233840210219008000, 10341831284004956816162291534026258596480, 33472924495253687877989291752477935137018312119801, 25903107681056726364847, 431508136605456650422537984630623736215708158286947903, 5160, 10904380660583683934588933167, 2103020010740613361857448589653489040784428181058809599, 8231680416171662641680894332928000, 40279687], 'label': '33218887680.a.1024._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1024._.B', 'old_label': '1024.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566877
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [40279687, 10904380660461684460653388800, 60415388645366270131427523358215612924047548665580927, 1313901388801, 8231680416197565749361951059292847, 10341831284004956816162169533238381388800, 10888869450418353468442368000, 51090942171709440001, 8683317629700755945936546562048000000, 33472924495253687878000165084917384007093847808126, 20397882081197443369529151190321249517568000000, 33472924495253687878000165084917384362781275904006, 33472924495253687878000165084917384361473601898886, 122000787836928007, 1307674368000, 5041, 33472924495253687869158403091126591110378522368000, 121, 33703747332508301579035183780209984869940181536137, 20411645834288669703686597719484479573101388800, 60448715589986999444463302130567438258930977901388800, 1855601399692107166438379595752559460441617442507169142, 5167, 25903229681844523013167], 'label': '33218887680.a.792._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566878
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [40279687, 10904380660461684460653388800, 60415388645366270131427523358215612924047548665580927, 1313901388801, 8231680416197565749361951059292847, 10341831284004956816162169533238381388800, 10888869450418353468442368000, 51090942171709440001, 8683317629700755945936546562048000000, 33472924495253687878000165084917384007093847808126, 271618601434375240695224758245865188427212595216, 20397882081197443369529151190321249517568000000, 33472924495253687878000165084917384362781275904006, 33472924495253687878000165084917384361473601898886, 122000787836928007, 1307674368000, 5041, 33472924495253687869158403091126591110378522368000, 121, 20411645834288669703686597719484479573101388800, 60448715589986999444463302130567438258930977901388800, 1855601399692107166438379595752559460441617442507169142, 5167, 25903229681844523013167], 'label': '33218887680.a.792._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566879
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [40279687, 10904380660461684460653388800, 1855567926767611930125368513627393395566240059387702383, 60415388645366270131427523358215612924047548665580927, 8231680416197565749361951059292847, 10341831284004956816162169533238381388800, 33472924495253687878000165084917384361479828919807, 10888869450418353468442368000, 51090942171709440001, 8683317629700755945936546562048000000, 33472924495253687878000165084917384007093847808126, 271618601434375240695224758245865188427212595216, 20397882081197443369529151190321249517568000000, 33472924495253687878000165084917384362781275904006, 122000787836928007, 1307674368000, 5041, 33472924495253687869158403091126591110378522368000, 121, 20411645834288669703686597719484479573101388800, 60448715589986999444463302130567438258930977901388800, 1307674368120, 5167, 25903229681844523013167], 'label': '33218887680.a.792._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566880
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [40279687, 10904380660461684460653388800, 1855567926767611930125368513627393395566240059387702383, 60415388645366270131427523358215612924047548665580927, 8231680416197565749361951059292847, 10341831284004956816162169533238381388800, 33472924495253687878000165084917384361479828919807, 10888869450418353468442368000, 51090942171709440001, 8683317629700755945936546562048000000, 33472924495253687878000165084917384007093847808126, 20397882081197443369529151190321249517568000000, 33472924495253687878000165084917384362781275904006, 122000787836928007, 1307674368000, 5041, 33472924495253687869158403091126591110378522368000, 121, 33703747332508301579035183780209984869940181536137, 20411645834288669703686597719484479573101388800, 60448715589986999444463302130567438258930977901388800, 1307674368120, 5167, 25903229681844523013167], 'label': '33218887680.a.792._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566881
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [40279687, 10904380660461684460653388800, 1855567926767611930125368513627393395566240059387702383, 1313901388801, 8231680416197565749361951059292847, 10341831284004956816162169533238381388800, 10888869450418353468442368000, 51090942171709440001, 8683317629700755945936546562048000000, 33472924495253687878000165084917384007093847808126, 20397882081197443369529151190321249517568000000, 33472924495253687878000165084917384362781275904006, 122000787836928007, 1307674368000, 5041, 33472924495253687869158403091126591110378522368000, 60448861569861523819287818221574150067796921173847681, 121, 33703747332508301579035183780209984869940181536137, 20411645834288669703686597719484479573101388800, 60448715589986999444463302130567438258930977901388800, 1307674368120, 5167, 25903229681844523013167], 'label': '33218887680.a.792._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566882
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [40279687, 10904380660461684460653388800, 1855567926767611930125368513627393395566240059387702383, 1313901388801, 8231680416197565749361951059292847, 10341831284004956816162169533238381388800, 10888869450418353468442368000, 51090942171709440001, 8683317629700755945936546562048000000, 33472924495253687878000165084917384007093847808126, 271618601434375240695224758245865188427212595216, 20397882081197443369529151190321249517568000000, 33472924495253687878000165084917384362781275904006, 122000787836928007, 1307674368000, 5041, 33472924495253687869158403091126591110378522368000, 60448861569861523819287818221574150067796921173847681, 121, 20411645834288669703686597719484479573101388800, 60448715589986999444463302130567438258930977901388800, 1307674368120, 5167, 25903229681844523013167], 'label': '33218887680.a.792._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566883
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [40279687, 10904380660461684460653388800, 1855567926767611930125368513627393395566240059387702383, 10341831284004956816162169533238381388800, 8231680416197565749361951059292847, 10888869450418353468442368000, 51090942171709440001, 8683317629700755945936546562048000000, 8841761993790792896715325440126, 271618601434375240695224758245865188427212595216, 20397882081197443369529151190321249517568000000, 8841761993790793253716655287807, 8841761993790793252402753536006, 122000787836928007, 5041, 8841761993790793253710428266886, 60448861569861523819287818221574150067796921173847681, 121, 20411645834288669703686597719484479573101388800, 60415283461255925518124962171545474139960839828919806, 5167, 8841761993790793253710428267006, 33472924495253687878000165084917384362781276267006, 25903229681844523013167], 'label': '33218887680.a.792._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566884
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [271618601434375231853462764455072647399355168137, 40279687, 10904380660461684460653388800, 1855567926767611930125368513627393395566240059387702383, 10341831284004956816162169533238381388800, 8231680416197565749361951059292847, 10888869450418353468442368000, 51090942171709440001, 8683317629700755945936546562048000000, 8841761993790792896715325440126, 20397882081197443369529151190321249517568000000, 8841761993790793253716655287807, 8841761993790793252402753536006, 122000787836928007, 5041, 8841761993790793253710428266886, 60448861569861523819287818221574150067796921173847681, 121, 20411645834288669703686597719484479573101388800, 60415283461255925518124962171545474139960839828919806, 5167, 8841761993790793253710428267006, 33472924495253687878000165084917384362781276267006, 25903229681844523013167], 'label': '33218887680.a.792._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566885
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [271618601434375231853462764455072647399355168137, 40279687, 10904380660461684460653388800, 1855567926767611930125368513627393395566240059387702383, 1313901388801, 8231680416197565749361951059292847, 10341831284004956816162169533238381388800, 10888869450418353468442368000, 51090942171709440001, 60448861569861523819296659983567838678453605651948927, 8683317629700755945936546562048000000, 8841761993790792896715325440126, 20397882081197443369529151190321249517568000000, 8841761993790793252402753536006, 122000787836928007, 5041, 8841761993790793253710428266886, 121, 20411645834288669703686597719484479573101388800, 60415283461255925518124962171545474139960839828919806, 5167, 33472924495253687878000165084917384362781276267006, 8841761993790793253710428267006, 25903229681844523013167], 'label': '33218887680.a.792._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566886
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [40279687, 10904380660461684460653388800, 1855567926767611930125368513627393395566240059387702383, 1313901388801, 10341831284004956816162169533238381388800, 8231680416197565749361951059292847, 10888869450418353468442368000, 51090942171709440001, 60448861569861523819296659983567838678453605651948927, 8683317629700755945936546562048000000, 8841761993790792896715325440126, 271618601434375240695224758245865188427212595216, 20397882081197443369529151190321249517568000000, 8841761993790793252402753536006, 122000787836928007, 5041, 8841761993790793253710428266886, 121, 20411645834288669703686597719484479573101388800, 60415283461255925518124962171545474139960839828919806, 5167, 8841761993790793253710428267006, 33472924495253687878000165084917384362781276267006, 25903229681844523013167], 'label': '33218887680.a.792._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566887
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998694095819623845903407506149639324609987136, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566888
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [40279687, 10904380660461684460653388800, 8231680416197565749361951059292847, 10341831284004956816162169533238381388800, 10888869450418353468442368000, 51090942171709440001, 60448861569861523819296659983567838678453605651948927, 8683317629700755945936546562048000000, 8841761993790792896715325440126, 1855567926767611930117145674973241324886898481893537142, 271618601434375240695224758245865188427212595216, 20397882081197443369529151190321249517568000000, 8841761993790793253716655287807, 8841761993790793252402753536006, 122000787836928007, 5041, 121, 20411645834288669703686597719484479573101388800, 1307674368120, 60415283461255925518124962171545474139960839828919806, 5167, 33472924495253687878000165084917384362781276267006, 8841761993790793253710428267006, 25903229681844523013167], 'label': '33218887680.a.792._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566889
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [271618601434375231853462764455072647399355168137, 40279687, 10904380660461684460653388800, 8231680416197565749361951059292847, 10341831284004956816162169533238381388800, 10888869450418353468442368000, 51090942171709440001, 60448861569861523819296659983567838678453605651948927, 8683317629700755945936546562048000000, 8841761993790792896715325440126, 1855567926767611930117145674973241324886898481893537142, 20397882081197443369529151190321249517568000000, 8841761993790793253716655287807, 8841761993790793252402753536006, 122000787836928007, 5041, 121, 20411645834288669703686597719484479573101388800, 1307674368120, 60415283461255925518124962171545474139960839828919806, 5167, 33472924495253687878000165084917384362781276267006, 25903229681844523013167, 8841761993790793253710428267006], 'label': '33218887680.a.792._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566890
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [271618601434375231853462764455072647399355168137, 40279687, 10904380660461684460653388800, 1313901388801, 8231680416197565749361951059292847, 10341831284004956816162169533238381388800, 10888869450418353468442368000, 51090942171709440001, 8683317629700755945936546562048000000, 8841761993790792896715325440126, 1855567926767611930117145674973241324886898481893537142, 20397882081197443369529151190321249517568000000, 8841761993790793252402753536006, 122000787836928007, 5041, 60448861569861523819287818221574150067796921173847681, 121, 20411645834288669703686597719484479573101388800, 1307674368120, 60415283461255925518124962171545474139960839828919806, 5167, 33472924495253687878000165084917384362781276267006, 8841761993790793253710428267006, 25903229681844523013167], 'label': '33218887680.a.792._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566891
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [40279687, 10904380660461684460653388800, 1313901388801, 10341831284004956816162169533238381388800, 8231680416197565749361951059292847, 10888869450418353468442368000, 51090942171709440001, 8683317629700755945936546562048000000, 8841761993790792896715325440126, 1855567926767611930117145674973241324886898481893537142, 271618601434375240695224758245865188427212595216, 20397882081197443369529151190321249517568000000, 8841761993790793252402753536006, 122000787836928007, 5041, 60448861569861523819287818221574150067796921173847681, 121, 20411645834288669703686597719484479573101388800, 1307674368120, 60415283461255925518124962171545474139960839828919806, 5167, 8841761993790793253710428267006, 33472924495253687878000165084917384362781276267006, 25903229681844523013167], 'label': '33218887680.a.792._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566892
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [8231680416197565749361951059292847, 1855567926767611930125368513627393395566240059387702383, 8841761993790793252402753899006, 5167, 8683317629700755945936546562048000000, 271618601434375240695224758245865188427212595216, 122000787836928007, 20411645834288669703686597719484479573101388800, 1307674368000, 60415283461255925518124962171545474139960839828919806, 20397882081197443369529151190321249517568000000, 10341831284004956816162169533238381388800, 33472924495253687878000165084917384362781276267006, 10888869450418353468442368000, 10904380660461684460653388800, 5041, 363000, 1307674368120, 40279687, 51090942171709440001, 25903229681844523013167, 355687428458880, 121, 60448861569861523819287829094932390442818095957847680], 'label': '33218887680.a.792._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566893
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [8231680416197565749361951059292847, 1855567926767611930125368513627393395566240059387702383, 8841761993790793252402753899006, 5167, 8683317629700755945936546562048000000, 122000787836928007, 20411645834288669703686597719484479573101388800, 1307674368000, 60415283461255925518124962171545474139960839828919806, 271618611758839889462557801416998331549132595222, 20397882081197443369529151190321249517568000000, 10341831284004956816162169533238381388800, 33472924495253687878000165084917384362781276267006, 10888869450418353468442368000, 10904380660461684460653388800, 5041, 363000, 1307674368120, 40279687, 51090942171709440001, 25903229681844523013167, 355687428458880, 121, 60448861569861523819287829094932390442818095957847680], 'label': '33218887680.a.792._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566894
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [355687428458880, 40279687, 10904380660461684460653388800, 8231680416197565749361951059292847, 10341831284004956816162169533238381388800, 10888869450418353468442368000, 51090942171709440001, 8683317629700755945936546562048000000, 1916016642357598929569822973995967094123215179771702383, 6227020921, 20397882081197443369529151190321249517568000000, 122000787836928007, 1307674368000, 5041, 60448861569861523819287818221574150067796921173847681, 121, 271618611758839889462557801416998331549132595222, 20411645834288669703686597719484479573101388800, 8841761993790793252402753899006, 363000, 60415283461255925518124962171545474139960839828919806, 5167, 33472924495253687878000165084917384362781276267006, 25903229681844523013167], 'label': '33218887680.a.792._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566895
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [8231680416197565749361951059292847, 8841761993790793252402753899006, 5167, 8683317629700755945936546562048000000, 271618601434375240695224758245865188427212595216, 122000787836928007, 20411645834288669703686597719484479573101388800, 1307674368000, 60415283461255925518124962171545474139960839828919806, 1916016642357598929569822973995967094123215179771702383, 6227020921, 20397882081197443369529151190321249517568000000, 10341831284004956816162169533238381388800, 33472924495253687878000165084917384362781276267006, 60448861569861523819287818221574150067796921173847681, 10888869450418353468442368000, 10904380660461684460653388800, 5041, 363000, 40279687, 51090942171709440001, 25903229681844523013167, 355687428458880, 121], 'label': '33218887680.a.792._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566896
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [355687428458880, 40279687, 10904380660461684460653388800, 1313901388801, 1855601379294225093932476683689472688334644096364342383, 10341831284004956816162169533238381388800, 8231680416197565749361951059292847, 10888869450418353468442368000, 51090942171709440001, 8683317629700755945936546562048000000, 271618601425691914234650878010645039482316595216, 20397882081197443369529151190321249517568000000, 122000787836928007, 1307674368000, 5041, 60448861569861523819287829110443600485793394513751681, 121, 20411645834288669703686597719484479573101388800, 8841761993790793252402753899006, 363000, 60415283461255925518124962171545474139960839828919806, 5167, 33472924495253687878000165084917384362781276267006, 25903229681844523013167], 'label': '33218887680.a.792._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566897
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 396, 'diagramx': None, 'generators': [355687428458880, 40279687, 10904380660461684460653388800, 1313901388801, 1855601379294225093932476683689472688334644096364342383, 10341831284004956816162169533238381388800, 8231680416197565749361951059292847, 10888869450418353468442368000, 51090942171709440001, 8683317629700755945936546562048000000, 271618601434375240695224758245865188427212595216, 20397882081197443369529151190321249517568000000, 122000787836928007, 1307674368000, 5041, 60448861569861523819287829110443600485793394513751681, 121, 20411645834288669703686597719484479573101388800, 8841761993790793252402753899006, 363000, 60415283461255925518124962171545474139960839828919806, 5167, 33472924495253687878000165084917384362781276267006, 25903229681844523013167], 'label': '33218887680.a.792._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '792.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '792._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566898
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 2287212215998694095819623845903407506149638016935619256, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998789536277408675508642866212650134260079319, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566899
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1024, 'diagramx': None, 'generators': [122002101778601640, 1313941673647, 60448715589986999452694982546739100900611872274596487, 5167, 20411645834296901384102795285233840210219008000, 10341831284004956816162291534026258596480, 33472924495253687877989291752477935137018312119801, 25903107681056726364847, 5160, 10904380660583683934588933167, 2103020010740613361857448589653489040784428181058809599, 8231680416171662641680894332928000, 40279687, 431474684078843477932121048407521138171060217148766737], 'label': '33218887680.a.1024._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1024._.A', 'old_label': '1024.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566901
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8683326460589391496354777796244919800, 122002101778601640, 1313941673647, 60448715589986999452694982546739100900611872274596487, 5167, 20411645834296901384102795285233840210219008000, 10341831284004956816162291534026258596480, 1307674368000, 25903107681056726364847, 33452526613163807108170062053491842963017364556921, 5160, 10904380660583683934588933167, 51091297859137899000, 20397882081197443358640307643010578419713100921, 8231680416171662641680894332928000, 363000, 1307674368120, 40279687, 355687428459001, 10888895302556737460054865961, 8841761993739702310237271116920, 121], 'label': '33218887680.a.7920._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566902
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8683326460589391496354777796244919800, 122002101778601640, 1313941673647, 60448715589986999452694982546739100900611872274596487, 5167, 20411645834296901384102795285233840210219008000, 10341831284004956816162291534026258596480, 25903107681056726364847, 33452526613163807108170062053491842963017364556921, 5160, 10904380660583683934588933167, 51091297859137899000, 20397882081197443358640307643010578419713100921, 8231680416171662641680894332928000, 363000, 1307674368120, 40279687, 355687428459001, 10888895302556737460054865961, 8841761993739702310237271116920, 121], 'label': '33218887680.a.15840._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15840.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15840._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566903
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [122002101778601640, 1313941673647, 60448715589986999452694982546739100900611872274596487, 5167, 20411645834296901384102795285233840210219008000, 10341831284004956816162291534026258596480, 33472924495253687877989291752477935137018312119801, 25903107681056726364847, 5160, 10904380660583683934588933167, 8231680416171662641680894332928000, 40279687], 'label': '33218887680.a.8110080._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8110080.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8110080._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566904
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [25903107681056726364847, 122002101778601640, 10904380660583683934588933167, 20411645834296901384102795285233840210219008000, 40279687, 5167, 8231680416171662641680894332928000, 60448715589986999452694982546739100900611872274596487, 10341831284004956816162291534026258596480, 1313941673647, 33472924495253687877989291752477935137018312119801], 'label': '33218887680.a.16220160._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16220160.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16220160._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566905
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [122002101778601640, 10341831284004956816162291534026258596480, 60448715589986999452694982546739100900611872274596487, 1313941673647, 20411645834296901384102795285233840210219008000, 10904380660583683934588933167, 8231680416171662641680894332928000, 25903107681056726364847, 5167, 5160, 40279687], 'label': '33218887680.a.16220160._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16220160.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16220160._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566906
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [25903107681056726364847, 122002101778601640, 10904380660583683934588933167, 20411645834296901384102795285233840210219008000, 40279687, 5167, 8231680416171662641680894332928000, 33472924495253687877989291752477935137018312124721, 60448715589986999452694982546739100900611872274596487, 10341831284004956816162291534026258596480, 1313941673647], 'label': '33218887680.a.16220160._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16220160.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16220160._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566907
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [25903107681056726364847, 122002101778601640, 10904380660583683934588933167, 20411645834296901384102795285233840210219008000, 40279687, 5167, 8231680416171662641680894332928000, 60448715589986999452694982546739100900611872274596487, 10341831284004956816162291534026258596480, 1313941673647], 'label': '33218887680.a.32440320._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32440320.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32440320._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566908
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': '3019898880.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': 150994944, 'diagramx': None, 'generators': [1484542710851695185226628600783973948175585471829993032], 'label': '33218887680.a.3019898880.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3019898880.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3019898880.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566909
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998789536277408675508642866212650134260079319, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566910
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': '3690987520.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': 3604480, 'diagramx': None, 'generators': [376802669273902644642276792678810904108205539200, 439098861188774382620386714310181718268948579880], 'label': '33218887680.a.3690987520.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3690987520.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3690987520.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566911
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': '6643777536.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': 25952256, 'diagramx': None, 'generators': [1915982938610680955093397003179877709657954316485771577], 'label': '33218887680.a.6643777536.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6643777536.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6643777536.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566912
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60448736001643175572648702094559546123986259392681647], 'label': '33218887680.a.16609443840._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16609443840.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16609443840._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566913
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': '33218887680.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': '33218887680.a.33218887680.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33218887680.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33218887680.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566914
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 2287212215998694095819623845903407506149638016935619256, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566915
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 1307674368120, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566916
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 148913609346863496802887901785560274779376, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998694095819623845903407506149639324609987136, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566917
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998694095819623845903407506149639324609987136, 148913609346863496802887901786867949147496, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566918
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [1173728487147965394082845244468972979971710469264225792, 8841761993739701954549843020800, 20411645834288669703686597719484478259200000000, 5160, 40279687, 33514766666293819914380459318860841169271944815863, 10904380660461684460653388800, 51090942177936460800, 8231680416171662519681420397388800, 8683326460573880235220148951123383801, 25903107682370587468800, 10888869450418353468442368000, 60448715589997341283978998407961826639508000192681647, 122002101738316800, 33452526613172490434630651444937106442948244919801, 362881, 355693655116800, 121, 60448715589986999444463313034974001950294655275008000, 1313941668480, 20397882081197443358640281739902897356800000000, 1307674368120, 5167], 'label': '33218887680.a.22._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566919
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 120, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998694095819623845903407506149639324609987136, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566920
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998694095819623845903407506149639324609987136, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566921
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 2287212215998694095819623845903407506149639324609987256, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998789536277408675508642866212650134260079319, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566922
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 2287212215998694095819623845903407506149638016935619136, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998789536277408675508642866212650134260079319, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566923
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 120, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998789536277408675508642866212650134260079319, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566924
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 2287212215998789536277408675508642866212650134260079319, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566925
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 2287212215998694095819623845903407506149639324609987256, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566926
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 2287212215998694095819623845903407506149638016935619136, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566927
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 120, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566928
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 148913609346863496802887901785560274779496, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566929
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [1173728487147965394082845244468972979971710469264225792, 8841761993739701954549843020800, 20411645834288669703686597719484478259200000000, 5160, 40279687, 10904380660461684460653388800, 51090942177936460800, 8231680416171662519681420397388800, 8683326460573880235220148951123383801, 25903107682370587468800, 10888869450418353468442368000, 60448715589997341283978998407961826639508000192681647, 122002101738316800, 33514766666293819914380459318860841169271944810823, 33452526613172490434630651444937106442948244919801, 362881, 355693655116800, 121, 60448715589986999444463313034974001950294655275008000, 1313941668480, 20397882081197443358640281739902897356800000000, 1307674368120, 5167], 'label': '33218887680.a.22._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566930
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 2287212215998789536277408675508642866212651441934447439, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 2287212215998789536277408675508642866212651441934447319, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566931
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 2287212215998789536277408675508642866212651441934447439, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 2287212215998694095819623845903407506149638016935619136, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566932
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 2287212215998789536277408675508642866212651441934447439, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 148913609346863496802887901786867949147496, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566933
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 2287212215998789536277408675508642866212651441934447439, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566934
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 2287212215998694095819623845903407506149638016935619256, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 2287212215998789536277408675508642866212651441934447319, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566935
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 2287212215998694095819623845903407506149638016935619256, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 2287212215998694095819623845903407506149638016935619136, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566936
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 2287212215998694095819623845903407506149638016935619256, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 148913609346863496802887901786867949147496, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566937
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 2287212215998694095819623845903407506149638016935619256, 10341839515685373013727796893087662085160, 25903229681844523008000, 1307674368000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566938
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 148913609346863496802887901786867949147376, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 2287212215998789536277408675508642866212651441934447319, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 9566939
    {'ambient': '33218887680.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [355687428096006, 60448715589986999444463302130593341488611508523008007, 1668598240645276375475273402074195364862930124647144366, 40279680, 122000787836933160, 148913609346863496802887901786867949147376, 20397892423036950213140145275308862692356096121, 8231680416197565627361163182080000, 8683317629700781798074930547433477046, 10904406563691364991275008007, 10888869501509650019905536006, 10341839515685373013727796893087662085160, 25903229681844523008000, 5041, 33472924505578152526756609284439024593460592640001, 1307674730880, 121, 2287212215998694095819623845903407506149638016935619136, 51091297859137536000, 2474215041187891487761935606054697360793452189035799102, 20411656176128185389059585544295691078012928000, 2534597563501370656827813614171074178315043078705726721, 1313941668480, 494869920991270647315549459955362146295742894875210937, 5167, 8841762019642809991287730181167], 'label': '33218887680.a.220._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.BD', 'subgroup_fusion': None, 'weyl_group': None}